Find the area of the composite figure to the nearest hundredth.

Answer:

B) -9/2 , 3/2

That's the correct answer

The midpoint of the given segment is (-9/2, 3/2), so the correct option is b.

For a segment whose endpoints are (a, b) and (c, d), the midpoint of that segment is given by the point:

( (a + c)/2, (b + d)/2).

In this case the endpoints are (-3, 4) and (-6, -1), using the above formula, we get that the midpoint is:

( (-3 - 6)/2, (4 - 1)/2) = (-9/2, 3/2)

We can see that the correct option is B.

If you want to learn more about midpoints:

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Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

Answer:

28 cubs

Step-by-step explanation:

Since one and a half bear produces one and a half cub, then 6 bears will produce 6 cubs in one and a half days.

We need to find 7 days, though but we have the rate for six bears for 1.5 days which 6 bears one a half day.

What is the rate for a day?

6/1.5 =

6 bears produce 4 cubs a day.

Now just do 4 x 7

4 x 7 = 28

Therefore, 6 bears produce 28 cubs in 7 days.

Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

Answer:

[tex] slope(m) = \frac{3}{2} [/tex]

Step-by-step explanation:

Slope (m) = change in y / change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use any two pairs of values to find the slope. Thus, let's use (-14, 3) and (-12, 6):

Where,

[tex] (-14, 3) = (x_1, y_1) [/tex]

[tex] (-12, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] m = \frac{6 - 3}{-12 -(-14)} [/tex]

[tex] m = \frac{3}{2} [/tex]

Answer:

5575.28

Step-by-step explanation:

Sphere volume: (4/3*3.14) multiplied by 11x11x11

Hope this helps :D

Answer:

Let Kylie use the simple interest option

Step-by-step explanation:

Given data

Principal=  $5,000

I will advise Kylie to pay up the loan using the simple interest option, this is because the interest does not get to compound (pile-up) over time

But with the compounding interest option, the interest tends to increase exponentially

18pi since the radius is 9 and to find circumference you use C=2(pi)(r)

Answer:

p = s + dgh

p - s = dgh

(p - s) / dg = h

Answer = h= p-s/dg

The formula that represents the height "h" in terms of p, s, d, and g is expressed as  (p - s)/dg

Given the formula for determining the pressure, p, exerted  on an object at a depth, h, below the surface of a  liquid expressed as p = s + dgh where:

s is the atmospheric  pressure,

d is the density of the liquid, and;

g is the  acceleration due to gravity

We are to make h the subject of the formula;

p = s + dgh

Subtract s from both sides

p - s = dgh

dgh = p - s

Divide both sides by dg

dgh/dg = (p - s)/dg

h =  (p - s)/dg

Hence the formula that represents the height "h" in terms of p, s, d, and g is expressed as (p - s)/dg

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Seeing that its a right triangle...

We can use pythagorean theorem.

8^2 + 4^2 = x^2

64 + 16 = x^2

80 = x^2

x = 8.94427191

Answer:

Yes, that's an angle bisector.

You are correct in saying that this is a bisector.

Answer:

5: 113.1 cm^3

6: 7238.23 cm^3

Step-by-step explanation:

The formula is V=4/3(pi)r^3, so just plug in values for R.

Answer:

a = 60km

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

a² + 32² = 68²

a² + 1024 = 4624

*subtract 1024 from both sides to isolate a² *

a² + 1024 - 1024 = 4624 - 1024

a² = 3600

*square root both sides to isolate a*

√(a²) = √3600

a = 60km

Answer:17+2m

Step-by-step explanation:

Answer:

$197.28

Step-by-step explanation:

perimeter of a square = 4 x length

length = perimeter / 4 =  68/4 = 17 ft

Price of the first fence = perimeter x price per foot

68 x 1.37 = 93.16

Perimeter of the second fence = (17 + 2 ) x 4 = 76

total price  = sum of the price of the two fences

Price = 76 x 1.37 = 104.12

total price = 197.28

Answer:

x=-16

Step-by-step explanation:

from x=-3 to get to y=12 u need to multiply x=-3 by -4 to get to 12 so for y=64 u need to divide by -4 which equals x=-16

Answer:

x is (-16)

Hope it helps!!!

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

[tex] {x}^{2} + 4x - 21[/tex]

[tex] {x}^{2} + 4x = 21[/tex]

[tex] {x}^{2} + 4x + 4 = 25[/tex]

[tex](x + 2) {}^{2} = 25[/tex]

[tex](x + 2) = 5[/tex]

[tex]x = - 7[/tex]

or

[tex](x + 7)[/tex]

[tex]x = 3[/tex]

or

[tex](x - 3)[/tex]

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

[tex] {5}^{2} = 25[/tex]

Answer:

5.25

Step-by-step explanation:

Answer:

$725.95

Step-by-step explanation:

add the two amounts together.

650.95+75 = 725.95

Answer:

96

Step-by-step explanation:

formula is simple

just base times height

so 12 × 8 which is 96

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

Answer:19.625in

Step-by-step explanation:

Answer: 19.625 inches is the answer

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because the i just worked it out

Answer:

65

Step-by-step explanation:

115-180=65 degrees

Answer:

68+47+x= 180

x=180-115

x=65

Answer:

10

Step-by-step explanation: