The measure of the arc is option (c) 140°
In geometry, an arc is a curved line that is a part of a circle's circumference. The measure of an arc can be calculated using the angle of the arc, which is measured in degrees.
In the case of EBC, the measure of the arc is 140°. This is because we can use the Angle-Side-Angle (ASA) congruence theorem, which states that two triangles are congruent if and only if two angles and the included side are equal.
In the case of EBC, we know that angle A equals 40° and angle C equals 90° so the only variable left is the measure of the arc, which is equal to 140°.
Therefore, the measure of EBC is 140°. This can be verified by drawing the triangle and measuring the arc with a protractor.
Therefore, option (c) is the right one.
To know more about arc here.
https://brainly.com/question/18741430
#SPJ4
Complete Question:
What is the measure of arc EBC when the values of Angle a nd c are 90 and 40 degree respectively.
a) 40°
b) 90°
c) 140°
d) 220°
x² at x = 3 what is the answer pleas help
Answer: 9
Step-by-step explanation:
First plug in 3 for x.
Then you get 3^2
Now you solve and you get 9. Its the same as saying 3 * 3 = 9.
your friend bought a new pair of shoes. He said the regular price was 75$ but that he got them for a 40% discount. What is the sale price of the shoes?
The sale price of the shoes is $45.
Your friend bought a new pair of shoes that had a regular price of $75. The regular price is the original or full price of the item before any discounts or promotions are applied.
Your friend said that he got a 40% discount on the shoes. A discount is a reduction in price from the regular price, often as a promotion or incentive to encourage customers to purchase the item. In this case, the discount is 40% of the regular price.
To calculate the sale price of the shoes, we need to subtract the discount amount from the regular price. The discount amount is 40% of $75, which is:
Discount amount = 40% x $75
Discount amount = $30
Now, we can find the sale price by subtracting the discount amount from the regular price:
Sale price = Regular price - Discount amount
Sale price = $75 - $30
Sale price = $45
Learn more about discount here
brainly.com/question/21896340
#SPJ4
Please help will give Brainly
Answer:
410 is the outlier.
What is an outlier?
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.
In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.
Step-by-step explanation:
Hope it helps! =D
solve for x 4(x + 4) + 2x = 52
Answer:
x = 6Step-by-step explanation:
solve for x 4(x + 4) + 2x = 524(x + 4) + 2x = 52
4x + 16 + 2x = 52
6x = 52 - 16
6x = 36
x = 36 : 6
x = 6
Answer:
[tex] \sf \: x = 6[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 4(x + 4) + 2x = 52
Then the value of x will be,
→ 4(x + 4) + 2x = 52
→ 4x + 16 + 2x = 52
→ 6x + 16 = 52
→ 6x = 52 - 16
→ 6x = 36
→ x = 36 ÷ 6
→ [ x = 6 ]
Hence, the value of x is 6.
PLSSS DO IT NOW QUICK STEP BY STEP EXPLANATION>….!!!
-Jake .Kim ,and lee share some money in the ratio 1:3:6
Kim gets $9 more than Jake
How much does Lee get?
Answer:
$30
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:
5: 15: 30How did we get this ratio?Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.
1 × 5 = 53 × 5 = 156 × 5 = 30Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.
Yoni drove a total of 9/24 of a mile on Tuesday and Wednesday. She drove 1/6 of a mile on Tuesday.
How far did Yoni drive on Wednesday?
9/24mile
1/6 mile
5/24mile
24 miles
As per the total distance, the distance that Yoni drive on Wednesday is option (c) 5/24 miles.
To find out how far Yoni drove on Wednesday, we must first determine the total distance she drove over the two days.
Tuesday, Yoni drove 1/6 of a mile, which can be expressed as 6/24 of a mile. Wednesday, she drove an additional 9/24 of a mile.
This means that, in total, she drove 15/24 of a mile.
Since we already know that Yoni drove 6/24 of a mile on Tuesday, we can subtract this amount from the total distance she drove over the two days to find out how far she drove on Wednesday.
Subtracting 6/24 of a mile from 15/24 of a mile, we get 9/24 of a mile, which is the distance Yoni drove on Wednesday.
Therefore, Yoni drove 5/24 of a mile on Wednesday
Then the correct option is (c).
To know more about total here.
https://brainly.com/question/14286201
#SPJ4
7. What is the range of the function
F(x) = 3/4 x - 5 with a domain of -2,0, and 4?
Range of the function is the set {-6.5, -5, -2}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of the function is the input values of the function and Range of the function is the output values.
Given function is,
F(x) = 3/4 x - 5
Domain of the function is -2, 0 and 4.
F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5
F(0) = (3/4 × 0) - 5 = 0 - 5 = -5
F(4) = (3/4 × 4) - 5 = 3 - 5 = -2
Range = {-6.5, -5, -2}
Hence the required range of the given function is {-6.5, -5, -2}.
Learn more about Domain and Range here :
https://brainly.com/question/30133157
#SPJ1
how many millions are in billions
Answer:
1000 millions are in a billion
Step-by-step explanation:
1 million can be written as 1000000 (6 zeros)
1 billion can be written as 1000000000 (9 zeros)
the difference in the zeros is three and 1000 has three zeros so we can say,
1000000 x 1000 = 1000000000
their zeros are basically added together.
A rectangle's length and width are in a ratio of 7:1. The area is 112 square yards. What are the length and width?
Answer:
ouygghjkjhhhggfdddthjj
Oak City High School ordered jerseys to sell at the
opening game. The school paid $9.25 each for
225 jerseys. Each jersey sold for $15.75. The
school sold 165 jerseys. What percent of the
jerseys did NOT sell? Round to the nearest
percent.
Answer: Percent of the jerseys that did not sell is 27% (approx).
Step-by-step explanation: No. of jerseys sold = 225
No. of jerseys not sold =165
Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%
percentage of jerseys not sold = 100-73.33 = 26.67% =27%
Internal Links: https://brainly.com/app/ask?q=Okolona+College+ordered+jerseys+to+sell+at+the+homecoming+game.+The+college+paid+%249.25+each+for+225+jerseys.+Each+jersey+was+sold+for+%2415.75.+what+was+the+percent+of+markup+for+each+jersey.+How+much+profit+was+made+if+all+of+the+jerseys+were+sold%3F+&skip=15527738&source=answer-box
please help!! performance task: vector operations
Draw u - v + w.
Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
What is the graph about?We must do a sum of vectors during the graph creation process before drawing the resulting vector.
Thus, while looking at the attached graph, we can claim that the vectors are:
w = <1, 5>
u = <-3, 1>
v = <4, -3>
So, the sum = u - v + w
Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:
u - v + w
= <-3, 1> - <4, -3> + <1, 5>
= <-3 - 4 + 1, 1 + 3 + 5>
= <-6, 9>
Therefore, Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
Learn more about resultant vector here:
brainly.com/question/20047824
#SPJ1
A playground is in the shape of a right triangle with an area of 294 yd^2. The shortest side of the playground (one of the legs) is 21 yds. The city council would like to add a path along the longest side of the playground (the hypotenuse). How long would the path be?
Show your work.
Don't forget to label the answer.
Answer:
Answer: The length of the path would be 35 yds.
Step-by-step explanation:
We can use the formula for the area of a right triangle to find the length of the other leg. Once we know the lengths of both legs, we can use the Pythagorean theorem to find the length of the hypotenuse.
Let's call the length of the shortest side (the leg) "a", and let's call the length of the other side (the other leg) "b". We know that a = 21 yd and the area of the triangle is 294 yd^2. So we can use the formula for the area of a right triangle to solve for b:
area = (1/2) * a * b
294 = (1/2) * 21 * b
b = (2 * 294) / 21
b = 28
Now we know that a = 21 yd and b = 28 yd. We can use the Pythagorean theorem to find the length of the hypotenuse (c):
c^2 = a^2 + b^2
c^2 = 21^2 + 28^2
c^2 = 441 + 784
c^2 = 1225
c = sqrt(1225)
c = 35
Therefore, the length of the path along the longest side of the playground would be 35 yds.
Answer:
35 yards.
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem. Let's call the other leg of the triangle "x" and the length of the hypotenuse (the path the council would like to add) "c". Then we have:
Area of triangle = (1/2) * base * height
294 = (1/2) * 21 * x
x = 28
Now we can use the Pythagorean theorem to find "c":
c^2 = 21^2 + 28^2
c^2 = 441 + 784
c^2 = 1225
c = sqrt(1225)
c = 35
So the length of the path the council would like to add is 35 yards.
x^2 + y^2 + 8x - 6y - 15 = 0
complete the square
The completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
How to complete the square for the given equationFirst to complete the square for the given equation:
x^2 + y^2 + 8x - 6y - 15 = 0
We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.
x^2 + 8x + y^2 - 6y = 15
We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:
x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9
Now we can rewrite the left side of the equation as a sum of perfect squares:
(x + 4)^2 + (y - 3)^2 = 40
Therefore, the completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
Learn more about completed square here :brainly.com/question/30167694
#SPJ1
You choose between red, blue, yellow, or green wallpaper and purple or yellow carpet. Find the total number of possible outcomes when you select one color of wallpaper and one color of carpet.
Answer: there are 8 outcomes
Step-by-step explanation:
1: red wallpaper and purple carpet
2: blue wallpaper and purple carpet
3: yellow wallpaper and purple carpet
4: green wallpaper and purple carpet
5: red wallpaper and yellow carpet
6: blue wallpaper and yellow carpet
7: yellow wallpaper and yellow carpet
8: green wallpaper and yellow carpet
PLS HELP PLSSSSSSSSS
Answer:
If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?
C. 188.4 square units.Step-by-step explanation:
You're welcome.
pls helpp dilation of 1.5 about the origin
F(1, -1), G(0, 2), H(1, 2)
The Coordinates after dilation of 1.5 about the origin is
F'(1.5, -1.5)
G'(0, 3)
H'(1.5, 3)
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.
Given:
We have the Coordinates F(1, -1), G(0, 2), H(1, 2).
As, the Dilation Rule for point (x, y) about origin with scale factor h
h(x, y)------>(hx, hy)
Applying the Dilation Rule we get
F(1, -1)-----> 1.5 F'(1, -1)-----> F'(1.5, -1.5)
G(0, 2)-----> 1.5 G'(0, 2)-----> G'(0, 3)
H(1, 2) -----> 1.5 H'(1, 2)-----> H'(1.5, 3)
Learn more about Dilation here:
https://brainly.com/question/13176891
#SPJ1
Fill in the table for y=4x+2
Answer:
x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10
Step-by-step explanation:
A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
Answer:
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
option c is correct
Which digits are missing from this equation?
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
= (3 × ) + (5 × ) + (8 × )
= 358
The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.
What is algebraic equation?
If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.
We are given an expression as
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
On multiplying, we get
= (3 × 100) + (5 × 10) + (8 × 1)
= 358
Hence, the digits missing from the equation are 100, 10 and 1 respectively.
Learn more about algebraic equation from the given link
https://brainly.com/question/24875240
#SPJ1
hich one of the following would be a correct interpretation if you have a z-score of +2.0 on an exam? (a) It means that you missed two questions on the exam. (b) It means that you got twice as many questions correct as the average student. (c) It means that your grade was 2 points higher than the mean grade on this exam. (d) It means that your grade was in the upper 2% of all grades on this exam. (e) It means that your grade is 2 standard deviations above the mean for this exam.
Answer:
(e) It means that your grade is 2 standard deviations above the mean for this exam.
Step-by-step explanation:
Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.
how much is 40 lb to kg
40 pounds (lb) is equivalent to 18.14 kilograms (kg). To convert pounds to kilograms, you need to use the conversion factor of 0.45359237 kg per pound.
This means that you can multiply the number of pounds by this conversion factor to get the equivalent weight in kilograms.
The conversion from pounds to kilograms is important when it comes to international trade and travel, where weight measurements are typically done in the metric system. Knowing how to convert between different units of measurement is also useful in scientific and engineering fields, where calculations may require using units from different systems.
It's important to note that weight and mass are not the same thing. Weight is a measure of the force exerted on an object by gravity, while mass is a measure of the amount of matter in an object. The conversion from pounds to kilograms assumes that the force of gravity is constant, but this may not always be the case in different parts of the world.
In summary, 40 pounds is equal to 18.14 kilograms, and knowing how to convert between different units of measurement is an important skill in various fields of study and in everyday life.
To learn more about measurements click on,
https://brainly.com/question/15142947
#SPJ4
Which equation currently shows the relationship between the numbers 2560 and 256
Answer:
C) b x 1
Step-by-step explanation:
For example, if b was 2 then 2 x 1 would be 2 so it would be the biggest value out of all the options.
For D, if b was 6 then b x 1/2 would be 3 so it would be at a low value. Therefore C is the correct answer.
what is the distance between point p and q 2,4 /2-,3
The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.
What does the coordinate geometry distance formula mean?
In coordinate geometry, the distance formula is used to compute the distance between two specified points.
The distance formula is D=
It is used to determine the distance between two locations (x1,y1)(x1,y1)) and (x2,y2)(x2,y2).
Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).
Using the distance formula,
PQ = [tex]\sqrt{(x2-x1)^{2} +(y2 - y1)^{2} }[/tex]
17² = 64 - y² +25 +10y
289-64-25 = - y² + 10y
y² + 10y - 200 = 0
On solving the quadratic equation we get,
y = -20, 10
Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.
Learn more about distance formula here:
brainly.com/question/23120005
#SPJ1
A quarterback completes of passes during the first three quarters of a football game. He completes e pass in the fourth quarter and of his passes for the entire game. How many passes does the quarterback throw in the fourth quarter?
Rounding up to the nearest whole number, the quarterback throws 3 passes in the fourth quarter to complete all of them.
Let's first find out how many passes the quarterback completed in the first three quarters:
18 passes completed out of 33 attempts in the first three quarters
= 18/33 = 0.545 (rounded to three decimal places)
We can then find the total number of passes attempted in the first three quarters by using the fact that the completion rate is the number of completions divided by the number of attempts:
0.545 = 18/x, where x is the total number of attempts in the first three quarters
Solving for x, we get:
x = 18/0.545 = 33
So the quarterback attempted 33 passes in the first three quarters.
Next, we can find the total number of passes attempted in the game by using the completion rate for the entire game:
0.625 = (18 + passes completed in the fourth quarter) / (33 + passes attempted in the fourth quarter)
Multiplying both sides by the denominator:
0.625 × (33 + passes attempted in the fourth quarter) = 18 + passes completed in the fourth quarter
20.625 + 0.625 × passes attempted in the fourth quarter = 18 + passes completed in the fourth quarter
Subtracting 18 and 0.625 × passes attempted in the fourth quarter from both sides, we get:
2.625 = passes completed in the fourth quarter - 0.625 × passes attempted in the fourth quarter
Adding 0.625 × passes attempted in the fourth quarter to both sides, we get:
passes completed in the fourth quarter = 2.625 + 0.625 × passes attempted in the fourth quarter
We don't know the exact number of passes attempted in the fourth quarter, but we can see that for every 1 pass attempted, the quarterback completes 0.625 - 0.545 = 0.08 more passes than in the first three quarters. So to complete all of his passes in the fourth quarter, he needs to attempt:
0.08 × x = 0.08 × 33 = 2.64
Question - A quarterback completes 18 of 33 passes during first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in fourth quarter?
Learn more about quarterback here: brainly.com/question/759084
#SPJ4
If pp is inversely proportional to the square of qq, and pp is 24 when qq is 7, determine pp when qq is equal to 2.
The value of pp when qq equals 2 is: 294
What is the value of pp when qq equals 2?If pp is inversely proportional to the square of qq, it means that pp*qq²=k, where k is the constant of proportionality.
Given that pp is 24 when qq is 7, we can find the value of k:
24*7² = k
k = 1176
Now, we can use this value of k to find pp when qq is equal to 2:
pp*2² = 1176
pp*4 = 1176
pp = 1176/4
pp = 294
Therefore, when qq is equal to 2, pp is equal to 294.
More information about inverse ratio here: https://brainly.com/question/29740491
#SPJ11
help
For the factor family 7,8 and 15 write two addition and subtraction facts
Answer:
Addition:
7+8=15
8+7=15
Subtration:
15-8=7
15-7=8
Step-by-step explanation:
You just have to include all numbers and make an equation that involves all three digits
What is the conversion of 2.25 inches to mm ?
In metric system length measured by using kilometres, milimter and miles etc. Thus, the conversion of 2.25 inches to mili meters is equals to the 57.15 mm.
Inches (also called in. ) is a unit of measurement used in US customer measurement systems. It is also part of the imperial measurement system. A millimeter (abbreviation mm) is a unit of measurement in the metric system. Like the inch, it is used to measure the length of an object, especially small ones. "Millimetre" is the US spelling, while in the UK it is spelled "millimetre". To convert from one measurement unit to another, multiply by the conversion factor. Formula to convert inches to millimeters, [X] mm = 25.4 × [Y] in ---(1)
where [X] is the result in mm and [Y] is the amount in we want to convert.We need to convert 2.25 inches to millimeters. So using the formula, millimeter = 25.4 × 2.25 inches
= 57.15
Hence, required value is 57.15 mm.
For more information about measurement system, visit :
https://brainly.com/question/174910
#SPJ4
Match each transformation of function fwith a feature of the transformed function.
domain of (0, ∞)
x-intercept of (-2, 0)
vertical asymptote of x =
j(x) = f(x+3)
g(x) = -f(x − 3)
h(x) = 3 f(x) - 3
range of (-3, ∞)
3
When we transform function f, the resulting transformed function may have certain features that are different from the original function.
⇒ g (x) = - f(x-3) is vertical asymptote of x=3
⇒ j (x) = f(x+3) is x-intercept of (-2,0)
⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given function is;
⇒ f(x) = log x
Hence, we get;
g(x) = -f(x+3)= - log(x+3)
g(x) =-f(x-3) is vertical asymptote of x = 3.
j (x) = f(x+3) = log (x+3)
Then, j(x) = f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}
h(x) = 3f(x)-3 is domain of (0, ∞)
Learn more about function here:
https://brainly.com/question/29633660
#SPJ9
The complete question is shown in figure.
The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down.
What is the equation of the new function g(x) ?
Please answer asap
Answer:
The transformation of stretching the function vertically by a factor of 4 means that every y-value of f(x) is multiplied by 4, so the new function is:g(x) = 4sin(x)The transformation of shifting the function downward by 3 units means that the entire graph is shifted downward by 3 units, so we subtract 3 from the y-value of g(x), giving:g(x) = 4sin(x) - 3Therefore, the equation of the new function g(x) is g(x) = 4sin(x) - 3
Step-by-step explanation: hope this helps0^0
significant figures include only the certain digits of a measurement. True or False?
The statement that significant figures include only the certain digits of a measurement is False
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Statement: significant figures include only the certain digits of a measurement
The above statement is false
This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.
The addiitonal uncertain digit implies that the statement is false
Read more about significant figures at
https://brainly.com/question/24491627
#SPJ1