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3 years ago

What is the length of arc S shown below? The angle in the figure is a central angle in radians.

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

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The function y = -15x + 2100 can be used to model the height, y, of a parachute jumper x seconds after she jumps from an airplan

olganol [36]

Answer:

2100 units

Step-by-step explanation:

We want to find the y-intercept of the function $y=-15x+2100$ which can be used to model the height, y, of a parachute jumper x seconds after she jumps from an airplane.

To find the y-intercept, you substitute $x=0$ into the equation.

$y=-15(0)+2100$

Multiply by zero to get:

$y=0+2100$

Add zero to obtain:

' $y=2100$

Therefore the y-intercept, which is the initial height is 2100

7 0

3 years ago

Plot two points that are 3units from Point C and also share the same y-coordinate as Point C.

egoroff_w [7]

The two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).

Step-by-step explanation:

Step 1:

First, we must plot the point C on the graph. Point C is on the third quadrant so the x value and the y value are negative.

The coordinate of C is (-6, -5).

We need to plot two points that are 3 units away from point C but have the same y coordinate i.e. y = -5.

Step 2:

So assume the two other points are A and B.

The y coordinates of A and B are -5. Only the x coordinate varies. So in order to get the coordinates of point A and B, we add and subtract 3 from the x coordinate of point C.

Point A = (-6+3, -5) = (-3,-5).

Point B = (-6-3, -5) = (-9, -5).

So two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).

6 0

3 years ago

Solve the inequality please- 21 ≥ 3(a- 7) +9 Thank you so much

Alexeev081 [22]

Answer:

Step-by-step explanation:

+21 +21

-9 -9

÷3 ÷3

8 0

3 years ago

A random sample of 40 college students has a mean earnings of $3120 over the summer months. Assume the population standard devi

PSYCHO15rus [73]

Answer:

A normal distribution or z-test is used to construct a confidence interval.

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = $3120

Sample size, n = 40

Population standard deviation, σ = $677

The distribution of earnings of college is a normal distribution.

Conditions:

Since we are given the population standard deviation and the the sample size is also greater than 30.

Conclusion:

Thus, we use a normal distribution or z-test to construct a confidence interval.

4 0

3 years ago

Miriam and Ruth are each individually applying for an $8,000, 24-month personal

IgorC [24]

Answer:

Miriam

Step-by-step explanation:

Miriam, with her lower FICO score, is more likely to have been offered the loan with the higher interest rate.

3 0

3 years ago