Mass of water vapor (g) / volume of air (m^3) is the humidity measure of absolute humidity
The humidity measure of "mass of water vapor (g) / volume of air (m^3)" is called absolute humidity. Absolute humidity is a measure of the total amount of moisture in the air, expressed as the mass of water vapor per unit volume of air. It is different from relative humidity, which is a measure of the amount of moisture in the air relative to the maximum amount of moisture that the air can hold at a particular temperature.
Mixing ratio is also a measure of the amount of moisture in the air, but it is expressed as the mass of water vapor per mass of dry air, not per unit volume of air. Vapor pressure is a measure of the pressure exerted by water vapor in the air, expressed in units of pressure (such as millibars or pascals), not as a ratio.
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If you make $15 per hour and work 20 hours per week, how much will you
make in 16 weeks?
Answer:
4800
Step-by-step explanation:
15 x 20 = 300 x 16 = 4800
What happens when the function f(x) = 2 sin(2) is transformed by the rule g (w) = - f(x)?
• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.
O f(x) is reflected over the y-axis.
O f(x) is reflected over the x-axis.
• f(x) is compressed toward the y-axis by a factor of 1/2 and is reflected over the y-axis
Answer:
• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.
Step-by-step explanation:
The function f(x) = 2sin(2x) has an amplitude of 2 and a period of π/2. When we apply the rule g(w) = - f(x), we are reflecting the graph of f(x) over the x-axis and then taking its opposite. This means that the amplitude of g(w) will still be 2, but the graph will be reflected and stretched away from the x-axis by a factor of 2.
I hope it helps you
HELP I HAVE THE IQ OF A FISH PLEASE
Answer:
14
Step-by-step explanation:
28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.
28/2=14
So, the radius of this button is 14 mm
HELPPP ASAPPPPP What is the surface area of the square pyramid represented by the net?
Enter your answer in the box.
m²
Answer:
144 m²
Step-by-step explanation:
You want to know the surface area of a square base pyramid with a side length of 6 m and a slant height of 9 m.
Surface areaThe area of the given net is the sum of the areas of 4 congruent triangles and one square. The areas of these can be found using the relevant formulas.
SA = square area + 4 × triangle area
SA = 6² + 4 × 1/2(6)(9) = 36 +108
SA = 144 . . . . square meters
__
Additional comment
The area of a square of side s is A = s².
The area of a triangle with base b and height h is A = 1/2bh.
Answer Immeditely Please
The ratio of the lengths of the corresponding sides of the similar right triangles indicates that the length of the segment [tex]\overline{BD}[/tex] = 8 units
What are similar triangles?Similar triangles are triangles that have the same shape, and therefore, the interior angles of each triangle are congruent to the three angles in the similar triangle, however, the sizes of the triangles may be different.
The similar triangles are; ΔABD, ΔBCD, ΔACB
∠ABD ≅ ∠BCD ≅ ∠ACB (Corresponding angles in similar triangles are congruent)
[tex]\overline{AD}[/tex]/[tex]\overline{BD}[/tex] = [tex]\overline{BD}[/tex]/[tex]\overline{DC}[/tex]
4/[tex]\overline{BD}[/tex] = [tex]\overline{BD}[/tex]/16
4 × 16 = 64 = [tex]\overline{BD}[/tex]²
[tex]\overline{BD}[/tex] = √(64) = 8
The length of the segment [tex]\overline{BD}[/tex] = 8 units
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A piece of metal with a mass of 611 g is placed into a graduated cylinder that contains25.1 mL of water, raising the water level to 56.7 mL. What is the density of the metal?A) 2.70 g/cm3 B) 7.13 g/cm3 C) 8.96 g/cm3 D) 10.5 g/cm3 E) 19.3g/cm3
The density of the given metal is 19.3g/cm³ . Then, the correct answer to this given question is Option E.
The given mass of the metal is 611 g and it is kept in a elevated cylinder that contains 25.1 mL of water,
Now, let us increase the water level to 56.7 mL. The metal volume can be evaluated by subtracting the initial volume from the final volume of water released by the metal.
Hence,
Metal volume = final volume - initial volume
= 56.7 mL - 25.1 mL
= 31.6 mL
Therefore,
Density = Mass / Volume
= 611 g/31.6 mL
= 19.3 g/cm³
The density of the given metal is 19.3g/cm³ . Then, the correct answer to this given question is Option E.
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Erik is growing vegetables in a square garden in his backyard. Each side of the vegetable garden is 6 feet long. He is also growing herbs in a rectangular garden that is 4 feet long and 3 feet wide. How many square feet larger is the vegetable garden than the herb garden?
the vegetable garden is 24 square feet larger than the herb garden. The area of the square vegetable garden is equal to the length of one side squared.
what is larger than ?
"larger than" is a comparative term used to describe a situation where one thing has a greater size, quantity, value, or magnitude than another thing. It is used to indicate a comparison between two or more objects or quantities.
In the given question,
The area of the square vegetable garden is equal to the length of one side squared. Each side of the square garden is 6 feet long, so the area of the vegetable garden is:
6 feet × 6 feet = 36 square feet
The area of the rectangular herb garden is equal to its length multiplied by its width. The length of the herb garden is 4 feet and the width is 3 feet, so the area of the herb garden is:
4 feet × 3 feet = 12 square feet
To find the difference in area between the two gardens, we subtract the area of the herb garden from the area of the vegetable garden:
36 square feet - 12 square feet = 24 square feet
Therefore, the vegetable garden is 24 square feet larger than the herb garden.
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Surface are. Help!!!!!!!!
The surface areas of the prisms are listed below:
Case 1: 94 in²
Case 2: 72 cm²
Case 3: 40.5 m²
Case 4: 39.1 mm²
Case 5: 130 ft²
Case 6: 136 m²
How to find the surface area of a prism
In this problem we find six cases of prisms, whose surface areas have to be found. Surface area is the sum of the areas of all faces in the prism. Face have either a rectangular or a triangular form, whose area formulas are:
Rectangle
A = b · h
Triangle
A = 0.5 · b ·h
Where:
A - Areab - Widthh - HeightNow we proceed to determine the surface areas:
Case 1
A = 2 · (4 in) · (5 in) + 2 · (3 in) · (4 in) + 2 · (5 in) · (3 in)
A = 40 in² + 24 in² + 30 in²
A = 94 in²
Case 2
A = 2 · 0.5 · (3 cm) · (4 cm) + (5 cm) · (4 cm) + (5 cm) · (3 cm) + (5 cm)²
A = 12 cm² + 20 cm² + 15 cm² + 25 cm²
A = 72 cm²
Case 3
A = 2 · (3 m) · (7 m) + 2 · (6 m) · (7 m) + 2 · (6 m) · (3 m)
A = 10.5 m² + 21 m² + 9 m²
A = 40.5 m²
Case 4
A = 2 · 0.5 · (4 mm)² + 2 · (4 mm) · (3 mm) + (5.7 mm) · (3 mm)
A = 16 mm² + 6 mm² + 17.1 mm²
A = 39.1 mm²
Case 5
A = 2 · (10 ft) · (5 ft) + 2 · (5 ft) · (1 ft) + 2 · (10 ft) · (1 ft)
A = 100 ft² + 10 ft² + 20 ft²
A = 130 ft²
Case 6
A = 2 · 0.5 · (6 m) · (4 m) + 2 · (7 m) · (5 m) + (7 m) · (6 m)
A = 24 m² + 70 m² + 42 m²
A = 136 m²
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Define:
Permutation
Factorial
Series
Circular permutation
Answer: Permutation: A permutation is an course of action of a set of objects in a particular arrange. The number of conceivable changes of a set of n objects is n factorial (n!), which is the item of all positive integrability up to n.
Factorial: The factorial of a non-negative numbers n is signified by n! and is characterized as the item of all positive integrability less than or rise to to n. For case, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Series: A arrangement may be a entirety of terms organized in a particular arrange. The entirety of the terms in a arrangement is called its add up to.
Circular permutation: A circular stage may be a stage of a set of objects in a circular course of action, where the arrange of objects things, but the beginning point is subjective. For case, orchestrating the letters A, B, and C in a circle would result in 3 circular stages: ABC, BCA, and CAB. The number of conceivable circular stages of a set of n objects is (n-1)!.
Step-by-step explanation:
What is the rate of change?
Help PLEASEEEE!!!!!!!!!
Question 3 (1 point)
A sixth-grade class collected data on the number of siblings in the class. Here is the dot plot of the data they collected.
How many students had zero brothers or sisters?
The number of students who had zero brothers or sisters is 1.
What is the probability of students with zero brothers or sister?
The probability of students with zero brothers or sisters is calculated from the ratio of the total number of students to the number of students with zero brothers or sisters.
Total number of students = 65
Number of zero siblings = 1
The probability = 1 / 65
So based on this information, we can conclude that in the sixth-grade class and based on the collected data, the number of students who had zero brothers or sisters is 1.
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a. ( 24 – 59 ) – ( 48:2 -60)
Answer:
Step-by-step explanation:
11. Tyrell buys an organizer for his baseball cards that costs $12.99. He can
add pages to the organizer to hold the cards. Each page costs $2.75 and
holds 9 cards. If Tyrell has 100 cards, how much will it cost him to organize
them? Write and evaluate a numeric expression.
On solving the provided question we can say that - 12.99(y - 9) + 2.75y = 100 , by solving, the expression x = 11.2, y = 19
What is linear equation?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
let x be the base ball cards.
and y be page card.
x + y = 9 -------------------1
12.99x + 2.75y = 100-------------------2
12.99(y - 9) + 2.75y = 100
by solving
x = 11.2
y = 19
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Stein Corp. reported the following information for 2013 and 2014.Accounts payable, December 31, 2013 $ 51,000Accounts payable, December 31, 2014 46,000Purchases--2014 467,000How much cash was paid for merchandise purchases during 2014?A. $421,000B. $462,000C. $467,000D. $472,000
The total amount of cash paid by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014 is $467,000.
In order to evaluate the cash paid for merchandise purchases during 2014, it is crucial to calculate the change in accounts payable from December 31, 2013 to December 31, 2014 and summation of purchases made during 2014.
Accounts payable change
= Accounts payable at December 31, 2014 - Accounts payable at December 31, 2013
= $46,000 - $51,000
= -$5,000
This explains that accounts payable decreased by $5,000 from December 31, 2013 to December 31, 2014.
Cash paid for merchandise purchases in 2014
= Purchases during 2014 + Change in accounts payable
= $467,000 - $5,000
= $462,000
The total amount of cash paid by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014 is $467,000.
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(a) Three squares have the areas of 7 cm², 17 cm² and 10 cm², (i) Will the squares exactly surround a right angled triangle? (ii) Explain your answer.
Answer:
(i) This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.
(ii) It is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.
Step-by-step explanation:
To determine whether the three squares can exactly surround a right-angled triangle, we need to use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's assume that the three squares have side lengths a, b, and c, with areas of 7 cm², 17 cm², and 10 cm², respectively. Then, we have:
a² = 7 cm²
b² = 17 cm²
c² = 10 cm²
We need to find out whether there exist values of a, b, and c that satisfy the Pythagorean theorem. If such values exist, then the three squares can surround a right-angled triangle.
We can rearrange the equations above to solve for a, b, and c:
a = √7 cm ≈ 2.65 cm
b = √17 cm ≈ 4.12 cm
c = √10 cm ≈ 3.16 cm
Now, we can check whether the Pythagorean theorem holds:
c² = a² + b²
(√10 cm)² = (√7 cm)² + (√17 cm)²
10 cm = 7 cm + 17 cm
This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.
In general, it is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.
5. A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. (Lesson 5-13)
b. Find the volume of the cone.
c. What fraction of the cylinder's volume is the cone's volume?
PLEASE HELP
Consider this system of equations.
system
(PICTURE 1)
The system can be represented by the following matrix equation where A is a 3×3 matrix and b is a 3D vector
(PICTURE 2)
The matrix of dependent coefficients and the vector column of independent variables of the system of linear equations are:
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
How to represent a system of linear equation by matrices
In this question we find a representation of a system of three linear equations with three variables {x, y, z}. This system can be described by following expression according to linear algebra:
[tex]\vec A \,\bullet \,\vec x = \vec B[/tex]
Where:
[tex]\vec {A}[/tex] - Matrix of dependent coefficients. [tex]\vec x[/tex] - Vector column of variables. [tex]\vec B[/tex] - Vector column of independent variables.Please notice that operator "•" represents a dot product.
Then, the matrix of dependent coefficients and the vector column of independent variables are, respectively:
Matrix of dependent coefficients
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
Vector column of independent variables
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
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For Exercises 16-18, use the following information. Brian invests $200 in an
account that pays 5% annual interest compounded continuously.
16. Write a function that models the amount y in the account after x years.
17. Write the domain and range using inequalities. Explain their meaning in this context.
18. How much will Brian have in the account after 8 years?
1. The function that models the amount in the account after x years is [tex]y(x) = 200e^{0.05t}[/tex]
2. The domain is [tex]x > = 0[/tex]. The range is [tex]y > = 200[/tex]
3. After 8 years, Brian will have $298.37 in the account.
How much money will Brian have after x years?Function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The formula for continuous compounding is [tex]A = Pe^{rt}[/tex] where the A is the amount, P is the principal, e is Euler's number, r is the annual interest rate and t is the time in years.
Data:
A = ?
P = 200
t = ?
r = 5% = 0.05
Plugging in the values, we get: [tex]A = 200e^{0.05t}[/tex]which is the function.
2. The domain of the function is x >= 0 which means the number of years must be non-negative.
The range of the function is y >= 200 since the amount in the account cannot be negative and it starts with an initial investment of $200.
3. To get amount in the account after 8 years, we will plug in x = 8 into the formula:
[tex]y = 200 * e^{0.05*8}\\y = 200 * 1.49182469764\\y = 298.364939528\\ y = $298.37.[/tex]
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Help, please, is for today.
5. A path bounds a circular lawn at a park. If the inner edge of the path is 132 ft. Around, approximate the amount of
area of the lawn inside the circular path. Use T < 22
6. The area of a circle is 367 cm?. Find its circumference.
7. Find the ratio of the area of two circles with radii 3 cm and 4 cm.
8. If one circle has a diameter of 10 cm and a second circle has a diameter of 20 cm, what is the ratio of the area of
the larger circle to the area of the smaller circle?
9. Describe a rectangle whose perimeter is 132 ft. And whose area is less than 1 ft?. Is it possible to find a circle whose
circumference is 132 ft. And whose area is less than 1 ft?? If not, provide an example or write a sentence explaining
why no such circle exists.
10. If the diameter of a circle is double the diameter of a second circle, what is the ratio of area of the first circle to the
area of the second?
The circumference of a circle: C = 67.98 cm
Radius of the circular lawn, which is difference between outer radius of path and inner radius of path.
outer radius: [tex]r1 = (132 + 2T)/2 = (132 + 2(22))/2 = 88 ft[/tex]
inner radius: [tex]r2 = 132/2 = 66 ft[/tex]
radius of circular lawn is r = r1 - r2 = 22 ft
Now using formula for the area of a circle:
A = πr^2 = π(22^2) ≈ 1520.53 ft^2
To find the circumference of a circle with area 367 cm^2, we can use the formula for the area of a circle to find the radius:
[tex]A = \pi r^2 \\r^2 = A/\pi = 367/\pi[/tex]
r ≈ 10.80 cm
Then we can find the circumference using the formula for the circumference of a circle:
C = 2πr ≈ 2π(10.80) ≈ 67.98 cm
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a relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt. (a) for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date? (round your answer to the nearest tenth of a month.) (no response) incorrect: your answer is incorrect. months (b) if the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends? (round your answer to four decimal places.) (no response) incorrect: your answer is incorrect. (c) if the satellite is insured for 84 months, what is the expected loss to the insurance company (in dollars)? (round your answer to the nearest dollar.) $(no response) incorrect: your answer is incorrect. (d) if the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make (in dollars)? (round your answer to the nearest dollar.) $(no response) incorrect: your answer is incorrect.
The satellite should be insured for 98 months (rounded up to the nearest month) to be 96% confident that the microchip will last beyond the insurance date.
To answer this question, we need to find the number of months for which we can be 96% confident that the microchip will not malfunction. This means we want to find the value of x such that P(X > x) = 0.04, where X is the random variable representing the life expectancy of the microchip.
We know that X follows a normal distribution with mean μ = 92 months and standard deviation σ = 3.6 months. Therefore, we can standardize X to the standard normal distribution Z ~ N(0, 1) using the formula
Z = (X - μ) / σ
We can then rewrite the probability P(X > x) as
P(X > x) = P(Z > (x - μ) / σ)
1.75 = (x - 92) / 3.6
Solving for x, we get
x = 98 months
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The given question is incomplete, the complete question is:
A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt.for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date?
Error Analysis Taniya incorrectly says that the solution of the system of equations is (-3,-2). What is the correct solution?
What error might Taniya have made?
6g-3h=-3
5=h-4g
The correct solution for the given equation 6g-3h = -3 is (-4, -7) respectively.
What are equations?A mathematical assertion that proves the equality of two mathematical expressions is what an equation in algebra means.
For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the 'equal' sign separating them.
So, we have the equation:
6g-3h = -3
Solution: (-3, -2)
Solve as follows:
6(-3)-3(-2) = -3
-18 + 6 = -3
-12 ≠ -3
Wrong solution.
Then, the correct solution could be:
6g-3h = -3
Solution: (-4, -7)
Solve as follows:
6g-3h = -3
6(-4)-3(-7) = -3
-24 + 21 = -3
-3 = -3
Correct solution.
Therefore, the correct solution for the given equation 6g-3h = -3 is (-4, -7) respectively.
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MULTIPLE CHOICE QUESTION
True or False: Involuntary deductions
from a person's gross pay go to their
employer.
False. Taxes and Social Security contributions are not deducted from a expressions person's total compensation and do not go to their employer.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
False. Taxes and Social Security contributions are not deducted from a person's total compensation and do not go to their employer. They are instead often paid to government agencies or other approved beneficiaries.
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1. Calculate the area of the following parallelogram:
28 in²
26 in²
40 in²
30 in²
Option D is correct, the area of given parallelogram is 30 square inches
Parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Area of parallelogram =bh
=10×3
=30 square inches
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Which number sentence shows the area of this figure
Answer:
?
Step-by-step explanation:
It would be a bit helpful if you uploaded a picture, since I don't see one.
What is the volume and total surface area of each shape combined?
The volume and total surface area of each shape combined is calculated below.
How to find the volume and total surface area of each shape combined?For cone-hemisphere shape
Volume = volume of cone + volume of hemisphere
Volume = 1/3πr²h + 2/3πr³
where r = 9/2 = 4.5 m
h = √(13² - 4.5²) (Pythagoras)
h = 12.20 m
Volume = 1/3πr²h + 2/3πr³
Volume = (1/3 * 3.14 * 4.5² * 12.2) + (2/3 * 3.14 * 4.5³)
Volume = 449.33 m³
Surface area = curved surface area of cone + curved surface area of hemisphere
Surface area = πrl + 2πr², where l = 13 m
Surface area = (3.14 * 4.5 * 13) + (2 * 3.14 * 4.5²)
Surface area = 310.86 cm²
For hemisphere-cylinder shape
Volume = volume of hemisphere + volume of cylinder
Volume = 2/3πr³ + πr²h
where r = 22/2 = 11 ft
height of cylinder (h) = 45 - 11 = 34 ft
Volume = (2/3 * 3.14 * 11³) + (3.14 * 11² * 34)
Volume = 15704.19 ft³
Surface area = curved surface area of hemisphere + curved surface area of cylinder + curved surface area circular base of cylinder
Surface area = 2πr² + πr² + 2πrh
Surface area = 3πr² + 2πrh
Surface area = (3 * 3.14 * 11²) + (2 * 3.14 * 11 * 34)
Surface area = 3488.54 ft²
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15PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Option a. The car is 115.47 feet from the building is correct for the given right triangle.
What is law of sines?A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:
If a/sin(A) = b/sin(B) = c/sin(C), then
If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.
The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.
Now,
tan(30) = opposite/adjacent = 200/distance
distance = 200/tan(30) ≈ 115.47 feet
Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.
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find the slope of (6,1) and (6,-3)
Answer:
Step-by-step explanation:
what is the difference between 1/2 and 1/2%
Answer:
1/2 is half a number while 1/2% means 50%