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Answer:

7: 113.1 yd

In terms of Pi: 36π

8: 326.85 in

In terms of Pi: 104π

6: 452.39 km

In terms of Pi: 144π

Step-by-step explanation:

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

R be the speed of the car.

t is the driving time.

185 = R* t

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

645 = 24R - 3rt <--- distributive

645 = 24R - 3(185)  <--- substitutes rt = 185

645 = 24R - 555

1200 = 24R

R = 50

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

Answer:

QUESTION:

what is the y-intercept of the line that goes through (0, 0) (6, 3)

ANSWER:

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Slope: 1/2

y-intercept: (0,0)

Step-by-step explanation:

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Answer: A 4.08x10^7

Step-by-step explanation:

Expanded form: 40800000

The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The linear equation is given below.

y = 3x - 2

The equation of the line that is parallel to the line y = 3x - 2 will be given as,

y = 3x + c

The equation passes through (3, 5), then we have

5 = 3(3) + c

5 = 9 + c

c = - 4

Then the equation of the line will be y = 3x - 4.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ2

Answer:

43

Step-by-step explanation:

Cos A= 8/11

Cos A= 43.34

A=43.34

Answer: D

Step-by-step explanation:

The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%

The sample space of a coin is:

S = {Head, Tail}

The sample size is:

n(S) = 2

The probability of the coin landing on heads is calculated as:

P(Head) = n(Head)/n(S)

So, we have:

P(Head) = 1/2

Express as percentage

P(Head) = 50%

Hence, the probability of the coin landing on heads is 50%

From the question, we have:

Toss = 100

Head = 57

The relative frequency of the coin landing on heads is calculated as:

Frequency = 57/100

Express as percentage

Frequency = 57%

Hence, the relative frequency of the coin landing on heads is 57%

Read more about probability at:

https://brainly.com/question/251701

Answer:

223.50

Step-by-step explanation:

1490x .15 = 223.50

Answer:

1) 16

2) -196020

Step-by-step explanation:

simple answer using DMAS rule

D = Division

M = Multiplication

A = Addition

S = Subtraction

Answer:<-26, 26>

Step-by-step explanation: <4(-5), 4(2)> and

<3(-2), 3(6)>

<-20, 8> and <-6, 18>

Now add <(-20+(-6)), (8+18)>

<-26, 26>

Answer:

1/5

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

Answer:

Not a function

Not a function

Function

Step-by-step explanation:

The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

Answer:

Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.

Answer:

16 is correct

Step-by-step explanation:

Answer:

4(3x+8)

Step-by-step explanation:

the correct Number is 8c

9514 1404 393

Answer:

  20 square centimeters

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.

  dilated area = (1/2)² × original area

  dilated area = 1/4 × 80 cm²

  dilated area = 20 cm²

Answer:

A. P = 72 feet, A = 300 square feet

Step-by-step explanation:

✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft

✔️Area of the polygon = area of a trapezoid = ½(a + b)h

Where,

a = 16 ft

b = 16 + 8 = 24 ft

h = 15 ft

Substitute

Area = ½(16 + 24)15

Area = ½(40)15

Area = 300 ft²

Answer: the last one, 31.6

Answer:

the answer is about 31.6

Step-by-step explanation:

the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.

[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]

[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]

Answer:

3840in²

Step-by-step explanation:

Formula:

V = whl

Insert the values:

V = 20 * 16 * 12

Multiply the values:

V = 3840in²

Answer:

$377.86

Step-by-step explanation:

Given: Video game system costs $350, sales tax rate is 796.

To find: Final cost

Solve: Calculating Total Cost. Multiply the cost of an item or service by the sales tax to find out the total cost.

                                           3.5  × 7.96 = 27.86

Add the total sales tax to the Item or service cost to get your total cost.

                                           27.86 + 350 = 377.86

The final cost is $377.86

Answer:

A: 10 x 1/2 = 15

Step-by-step explanation:

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Answer:

3

Step-by-step explanation: