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Lena [83]
3 years ago
10

Karen deposited $25 in the bank on monday

Mathematics
1 answer:
Sergio [31]3 years ago
4 0
Karen deposited $25 in the bank on Monday, $50 on Wednesday and $15 on Friday. On Saturday, she took out $40. Karen’s original balance was $100. What is her balance now?<span>

Given that Karen's original balance was $100.
After the three deposits, her balance is 100 + 25 + 50 + 15 = 190
After her withdrawal, her balance was 190 - 40 = 150

Therefore, Karen's balance now is $150</span>
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Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a cir
user100 [1]

Any smooth curve connecting two points is called an arc. The correct option is c.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

Learn more about the Length of an Arc:

brainly.com/question/1577784

#SPJ1

5 0
2 years ago
Glen hiked 14 miles in 4 hours. What was his average rate of speed?
Daniel [21]
3.5 miles per hour :) hopefully this helps!
8 0
3 years ago
Given that D(x) = 2x, select all of the following that are true statements
Keith_Richards [23]

Answer:

D(x) is a function

D(x) is a direct variation

D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

D(x)=2x

D(x) is a direct variation (linear function)

The variable x is the independent variable or input value

The variable D(x) is the dependent variable or output value

<u><em>Verify each statement</em></u>

case 1) D(x) is a function

The statement is true

see the explanation

case 2) x is the dependent variable

The statement is false

The variable x is the independent variable or input value

case 3) D(x) is a direct variation

The statement is true

see the explanation

case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

The statement is true

Because

For x=5

substitute in the linear equation

D(x)=2(5)=10 ---> is ok

For x=6

substitute in the linear equation

D(x)=2(6)=12 ---> is ok

For x=-2

substitute in the linear equation

D(x)=2(-2)=-4 ---> is ok

6 0
3 years ago
Tell me the answer to the question plz​
Sonja [21]

Step-by-step explanation:

(11.99+23.98+9.95)= 45.92

she has to pay = 45.92 - 20/100 (45.92)

= 45.92 - 9.18 = 36.74

so option

about 37 is right

4 0
3 years ago
The heights of women in the united states are normally distributed with a mean of 64 inches and a standard deviation of 2.75 inc
9966 [12]
According to the normal distribution curve:

<span>"the percent of women whose heights are between 64 and 69.5 inches"</span> represents the values within 2 standard deviation ,,,

And that value is 95% of the whole data



7 0
3 years ago
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