Find the angles of the circle with the information given
The measure of arc BC is 40⁰.
The measure of angle BPE is 50⁰.
The measure of angle BAD is 55⁰.
The measure of angle AOP is 110⁰.
The measure of angle AFB is 70⁰.
The value of arc DE is 110⁰.
What is the measure of the angles?The measure of each angle is calculated as follows;
if arc BA = arc CD, then value of arc BC is calculated as follows;
BA + CD + BC = 180 (sum of angles of a semi circle)
arc CD = 70 (intersecting chord theorem)
70 + 70 + BC = 180
140 + BC = 180
BC = 180 - 140
BC = 40
Arc AE = 70⁰, since angle EOF = 70 (vertical opposite angles)
Arc AB = 180 - (AE + BC)
arc AB = 180 - (70 + 40)
arc AB = 70⁰
The value of angle P is calculated as follows;
arc EB = 70 + 70 = 140⁰
m∠BPE = ¹/₂ (140 - 40)
m∠BPE = 50⁰
m∠BAD = ¹/₂ (BC + CD) (intersecting chord theorem)
m∠BAD = ¹/₂ (40 + 70)
m∠BAD = 55⁰
m∠AOP = (AB + BC) (intersecting chord theorem)
m∠AOP = (70 + 40)
m∠AOP = 110⁰
m∠AFB = (AB) (intersecting chord theorem)
m∠AFB = 70⁰
The value of arc DE is calculated as follows;
DE = 360 - (180 + CD) (sum of angles of a circle)
DE = 360 - (180 + 70)
DE = 360 - 250
DE = 110⁰
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Area and perimeter assignment. (9th Grade geometry)
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
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what is the value of x if a shape has sides messuring 131, 122, 125, 148, 107, 126
The value of x unknown for the given shape with given measurements 131°, 122°, 125°, 148°, 107°, 126° is equal to 141°.
The attached figure is seven sided polygon.
Seven sided polygon is called Heptagon.
Sum of all the interior angles of seven sided polygon = 900 degrees
Measurements are,
131°, 122°, 125°, 148°, 107°, 126°
Measurement of seventh angle is unknown.
let the measure of seventh angle be x°
⇒ x° + 131° + 122° + 125° + 148° + 107° + 126° = 900°
⇒ x° + 759° = 900°
⇒ x° = 900° - 759°
⇒ x° = 141°
Therefore, the value of x for the given shape with measurements is equal to 141°.
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The above question is incomplete , the complete question is:
what is the value of x if a shape has sides measuring 131, 122, 125, 148, 107, 126.
Attached figure.
A fence 706 m long and is cut into three parts. Two parts are the same length, and the third part is 25 m longer than either of the other two parts. find the length of each part
Step-by-step explanation:
706 -25 = 681 ====> which is three pieces of 681/3 = 227 m
but one is 25 m longer so 227, 227 , and 227 + 25 =252 m
Stacy invests $55,000 into an account at 2.3% interest compounded monthly. Find the total value of the investment after 4 years.
In the formula, A is the amount after interest, P is the principal, r is interest rate in decimals, n is the amount of times the interest is compounded per year, and t is the amount of years.
A hard drive has enough storage space left for 7 1/2 hours of TV programmes. How many programmes each lasting 5/6 of an hour can be recorded on the hard drive?
Answer:
9
Step-by-step explanation:
7 1/2 divided by 5/6 would equal 9.
first step: convert the mixed number into an improper fraction.
7 1/2 = 15/2
2nd step: change the operation. (KCF)
keep the first term - change the operation - flip the second term
so, 15/2 x 6/5 =.
15x6=90
2x5=10
90/10 = 9
hope it helps!
The equation x^2-8x-5=0 can be transformed into the equation (x-p)^2=q, where p and q are real numbers. What is the value of q?
Since p and q are real numbers, the value of q is 21.
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 8x - 5 = 0
x² - 8x = 5
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 8x + (-8/2)² = 5 + (-8/2)²
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
By simplifying, we have;
(x - 4)² = 21
p = 4 and q = 21
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Pythagorum theory. If a right triangle side a = 44 and angle is 30 what is b side
The length of the side b of the right triangle is 76 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. Therefore, the side b of the right triangle can be found as follows:
tan 30° = opposite / adjacent side
where
opposite side = a = 44 units
adjacent side = b
Therefore,
tan 30° = 44 / b
cross multiply
b = 44 / tan 30
b = 44 / 0.57735026919
b = 76.2102710661
Therefore,
b = 76 units
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Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A
Step-by-step explanation: The distance for the ball to travel straight from Jose to Harlan is less than what it would be if she were to pass it to Alma first. You can use the distance formula to find this (find the distance between Jose and Harlan, and compare it to the sum of the distances between Jose and Alma and Alma and Harlan)
Type the correct answer in each box. If necessary, use / for the fraction bar. If 3 + 2i / 2 - 3i
The correct term in each box, if necessary, use / for the fraction bar are a = 1/7-4i, b = 1/13.
What is a fraction bar?In mathematics, a fraction bar is a visual representation of fractions that facilitates fraction comparison and fraction operation. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.
We need to be aware of an aspect of imaginary numbers in order to determine the values of variables a and b. The following rule applies to the hypothetical unit:
Therefore, the correct terms are 1/7-4i, b = 1/13.
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What are the asymptotes of the function? Check all that apply.
x = 0
x = 19,800
y = 0
y = 19,800
The horizontal asymptote of the given function is 0
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator.
If the degree of numerator is less than the denominator,
the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
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Jilby Share if you could find it :) If 3+1=34 2+2=44 2+3=65 5+3=158 then 7+2=?
for justin beibers part only pls help
On day zero, the number of students who know the rumor are 2 people who are Susanna and Liz.
On day 2, the number of students would be 12 students.
The number of days till 32 students know the rumor is 6 days.
2 students (Susanna and Liz) know the rumor on day 0.
On day 2, the number of students who know the rumor will be the initial number of students (2) plus 5 students for each day that has passed (5 * 2 = 10). So, on day 2, 2 + 10 = 12 students know the rumor.
To find the number of days it will take for 32 students to know the rumor, we can set up an equation using the given information:
2 (Susanna and Liz) + 5 x number of days = 32
Now, we can solve for the number of days:
5 x number of days = 32 - 2
5 x number of days = 30
number of days = 30 / 5
number of days = 6
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In the diagram above, the sine of angle ACB = 3/5. What is the sine of angle ANM?
Because the sine of angle ACB = 3/5, then the sine of angle ANM will be equal to 3/5 too.
Understanding TriangleA triangle is a shape with 3 sides. There are 3 types of triangle which are:
equilateral triangle: this type has all sides equalisosceles triangle: this type has 2 sides equalscalene triangle: this one has no sides equalFrom the diagram, we can see that we have a small triangle inside a big triangle. From the principle of triangle, the angle C is equal to angle N.
Let us say angle C is 30° then the angle N will also be equal to 30*. Therefore the angle ACB = angle ANM = 3/5
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need help with this rational functions homework question
The sketch of the graph of y = 1/f(x) is added as an attachment
Sketching the graph of y = 1/f(x)To find the function equation, we need to determine the factors of the equation based on the zeros of the function.
Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:
(x + 5), (x + 1), and (x - 4)
Multiplying these factors together gives us:
f(x) = a(x + 5)(x + 1)(x - 4)
To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):
-4 = a(0 + 5)(0 + 1)(0 - 4)
-4 = -20a
So, we have
a = 1/5
Therefore, the function equation is:
f(x) = 1/5(x + 5)(x + 1)(x - 4)
For the graph of y = 1/f(x), we have
y = 5/[(x + 5)(x + 1)(x - 4)]
See attachment for the graph
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If something is going 70 km/sec per mpc and its recessional velocity is 49000 km/sec then what is its distance
Step-by-step explanation:
always and you come across a question that needs you to find the time or the distance or the speed the first thing that you need to think of is a triangle based formula so this is what you do you're right DStv in a triangle but you won't include the V therefore it will be DST and you just look at mainly at the formulas and try to identify the one that you're looking for and the way forward for example distance I have already drawn my small triangle and it's revealing that distance is equal to speed times time and speed is equal to a distance divided by time and time is equal to distance divided by speed in this case we're looking for the distance therefore I supposed to say speed time so was supposed to say 70 * 49,000 to get your answer
There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 7 chocolate chip and 12 sugar cookies. The green jar contains 6 chocolate chip, 8 sugar and 5 peanut butter cookies. The pink jar contains 15 chocolate chip, 9 sugar and 13 peanut butter cookies. One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively. A cookie is then chosen at random from the chosen jar. What is the probability that the pink jar was chosen, if it is known that the cookie was a sugar cookie?
The probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
Why do you think probability?Probability is simply how likely something is to happen. When we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes - how likely they are. The analysis of events driven by probabilities is called statistics.
We can use Bayes' theorem to calculate the probability that the pink can was chosen because the cookie was a sugar cookie. Let P(P) be the probability that the pink jar was chosen, P(S) be the probability that the chosen cookie was a sugar cookie, and P(S|P) be the probability that a sugar cookie was chosen given that the pink one was chosen. Then we have:
P(P|S) = P(S|P) * P(P) / P(S)
We can calculate all these probabilities as follows:
P(S|P) = 9 / (15 9 13) = 9/37
This is the probability of choosing a sugar cookie, given that the pink can was chosen.
P(P) = 1/4
This is the probability of choosing the pink can.
To calculate P(S), we need to consider all possible options for choosing a sugar cookie. We can choose a sugar loaf from a blue, green or pink jar. So:
P(S) = P(S|B) * P(B) P(S|G) * P(G) P(S|P) * P(P)
where P(S|B) is the probability of choosing a sugar cookie from the blue jar, P(G) is the probability of choosing the green jar, and so on. We can calculate all these probabilities as follows:
P(S|B) = 12 / (7 12) = 12/19
P(S|G) = 8 / (6 8 5) = 8/19
P(S|P) = 9 / (15 9 13) = 9/37
P(B) = 1/2
P(G) = 1/4
P(P) = 1/4
So,
P(S) = (12/19) * (1/2) (8/19) * (1/4) (9/37) * (1/4) = 271/444
We can now calculate P(P|S) using Bayes' theorem:
P(P|S) = (9/37) * (1/4) / (271/444) ≈ 0.282
Therefore, the probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
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What is the incorrect statement? Show your work
The incorrect statement regarding the dilation is given as follows:
2. The transformation can be represented by (7x/3, 7y/3).
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, we have that:
The original circle has a radius of 7 units.The dilated circle has a radius of 3 units.Hence the scale factor is given as follows:
k = 3/7.
And the rule is then given as follows:
(3x/7, 3y/7).
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Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drivesWhich equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
Answer:
t = r + cm
Step-by-step explanation:
t = total amount of money spent on rental car
r equals the original payment amount (like how much it cost to even attain tthe car)
c = the number of dollars for every mile
m = amount of miles
You would multiply c and m since every mile the dollars goes up by itself
You need to add the original payment, r, to find the correct total
If there is no original payment then the formula could also just be :
t = cm
total = miles x money per 1 mile
I could provide better explanation if I had the chart you mentioned but hope this helps!
What is the equation and solution?
Answer:
Step-by-step explanation:
x + 5 = 3x - 7
-2x = -12
x = 6
x + 5 = 6 + 5 = 11
3(6) - 7 = 18 - 7 = 11
The___is the sum of the lengths of the sides of a closed figure. A-apothem B-area C-total D-perimeter
Answer: D-perimeter
Step-by-step explanation: The sum of the lengths of all the sides of a closed figure is called its perimeter.
Answer:
Perimeter
Step-by-step explanation:
The sum of the lengths of all the sides of a closed figure is called its perimeter.
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The median is the best measure of center, and it equals 8.
How to solveA measure of center is important to understand the central tendency of data.
In this case, the best measure of center for the given data is the median.
The median is preferred over the mean because it is not influenced by extreme values.
By looking at the line graph, it is clear that there are more data points around 8 than any other value.
Therefore, the median would be closest to 8, making it the best measure of center. The median can be calculated by ordering the data from smallest to largest and selecting the middle value.
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I need help please
here is the picture is about Row Ops
Row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
row 1 of the given matrix are: 2, 0, and 3, multiplying row 1 with 1/4 gives;
1/4 × 2 = 1/2
1/4 × 0 = 0
1/4 × 3 = 3/4
Therefore, row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
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HELP! A paper airplane is thrown from the top of a treehouse. The paper airplane flies 16 feet through the air and lands in a sandbox that is 9 feet from the base of the tree that the treehouse is in.
What is the angle of depression that the paper airplane is flying down at?
Explain your process
The angle of depression that the paper airplane is flying down at 55. 78 degrees
How to determine the valueNote that the different trigonometric identities in mathematics are;
sinetangentcotangentsecantcosecantcosineThese identities also have their ratios are;
sin θ = opposite/hypotenuse
cos θ = adjacent//hypotenuse
tan θ = opposite/adjacent
From the information given, we have;
Using the cosine identity
Adjacent = 9 feet
Hypotenuse = 16 feet
Substitute the values
cos θ = 9/ 16
divide the values
cos θ = 0. 5625
θ = 55. 78 degrees
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Answer:
55.8° (nearest tenth)
Step-by-step explanation:
The angle of depression is the angle between the horizontal line of sight at the top of the treehouse and line of sight to the sandbox (the flight path of the paper airplane). (See attached diagram).
To find the angle of depression, we can use the cosine trigonometric ratio. The cosine of an angle is equal to the ratio of the length of the side adjacent the angle to the length of the hypotenuse.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
In this case, the length of the side adjacent the angle of depression is equal to the distance between the base of the tree and the sandbox, so A = 9 ft. The hypotenuse is the distance the airplane flies through the air, so H = 16 ft.
Substitute these values into the cosine ratio and solve for θ:
[tex]\cos (\theta)=\dfrac{9}{16}[/tex]
[tex]\theta=\cos^{-1}\left(\dfrac{9}{16}\right)[/tex]
[tex]\theta=55.7711336...^{\circ}[/tex]
[tex]\theta=55.8^{\circ}\; \sf (nearest \; tenth)[/tex]
Therefore, the angle of depression that the paper airplane is flying down at is 55.8° (nearest tenth).
Angle & segment relationship
Area & Arc Length
12
tanQ =
15
9
Help answer !!
The value of tanQ is 4/3
What is trigonometric ratio?
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
The values of the functions are expressed as follows;
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
The opposite in the triangle is 12 and the adjascent is 9 while th hypotenuse is 15.
therefore , since tan(tetha) = opp/adj
then, tanQ = 12/9
simplifying the value to the nearest term,
tanQ = 4/3
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What should be added to
[tex] \frac{17}{24} [/tex]
get
[tex] \frac{ - 5}{12} [/tex]
Answer:
See the below process
Step-by-step explanation:
let the Unknown value be x.
Now
[tex] \frac{17}{24} + x = \frac{ - 5}{12} [/tex]
[tex]x = \frac{ - 5}{12} - \frac{17}{24}[/tex]
Taking LCM
[tex]x = \frac{ - 10 - 17}{24} [/tex]
[tex]x = \frac{ - 27}{24} \\ = \frac{8}{9} [/tex]
we should add 8/9 to 17/24 to get -5/12
I hope it helped you
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What is the linear equation for your line of best fit? What does the slope of this line mean? What does the y-intercept of this line mean? (It's scattered plot points)
Answer:
need better photos
Step-by-step explanation:
Answer: Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
Step-by-step explanation:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
CAN SOMEONE ANSWER THIS RIGHT PLEASE!!!!!!
For the graph, what is a reasonable constraint so that the function is at least 600?
graph of y equals minus 2 times the square of x plus 40 times x plus 600
0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers
They say 1 and 2 wrong I don’t know what to believe
Please answer right I need it so much
The reasonable constraint so the function is at least 600 would be A. 0 ≤ x ≤ 20.
How to find the reasonable constraint ?Given the function y = -2x² + 40x + 600, we want to find the constraint for x so that the function's value is at least 600.
Since the parabola opens downward (as a is negative), the function will be at least 600 for all values of x within the interval where the parabola is above y = 600. The vertex of the parabola is at its maximum value, so we should look for the interval around the vertex (10, 800).
Looking at the given constraints, the option "0 ≤ x ≤ 20" is a reasonable constraint that ensures the function is at least 600. The parabola starts at a value of 600 at x = 0, reaches its maximum value at the vertex, and then returns to a value of 600 at x = 20.
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WRITE THIS IN SYSTEM OF EQUATIONS FROM CONTEX
Tristan has $1.40 worth of nickels and dimes. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Tristan has. Define the variables that you use to write the system.
The system of equations defined is:
x = 2y
x*0.05 + y*0.10 = 1.40
How to write the system of equations?First we need to define the variables:
x = number of nickels
y = number of dimes.
Now we can find the equations, we know that he has twice as many nickels as dimes, then:
x = 2y
We also know that Tristan has $1.40 then we can write:
x*0.05 + y*0.10 = 1.40
So the system of equations is:
x = 2y
x*0.05 + y*0.10 = 1.40
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