The front view of the top of a house is in the shape of a triangle whose
height is 10 inches less than the length of its base and its area is 75 in2. If b
represents the length of the base, which of the following equations can be
used to find the value of b?

Answer:

70

Step-by-step explanation:

the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.

Answer:

76% more

Step-by-step explanation:

If you divide 450/255 then you get 1.76470588 This means that it is 76% more than the old cost. ( The one just means adding money instead if subtracting)

Answer:

404

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

Answer:

Approximate radius of the given hemisphere is 3 in.

Step-by-step explanation:

Formula to calculate the volume of a hemisphere is given by,

V = [tex]\frac{2}{3}\pi r^{3}[/tex]

Since, volume of the given hemisphere in the picture = 56.52 in²

By substituting the value of V in the formula,

56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]

Now solve the expression for the value of 'r',

r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]

r³ = 26.99

r = ∛(26.99)

r = 3 in.

Therefore, approximate radius of the given hemisphere is 3 in.

Answer:

6

Step-by-step explanation:

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

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Answer:

250%

Step-by-step explanation:

177.5 / 71 = 2.5

2.5 x 100 = 250%

Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.

Answer:

1.41

Step-by-step explanation:

The maximum walking speed S, in feet per second, of an animal can be modeled by the equation S= √(gL), where g = 32ft/sec² and L is the length, in feet, of the animal's leg. To the nearest hundredth, how many times greater is the maximum walking speed of a giraffe with a leg of 6 feet than a hippopotamus with a leg of 3 feet?

Step 1: Calculate the maximum walking speed of a giraffe

The leg of a giraffe measures L = 6 ft.

Sg= √(g × Lg)

Sg= √(32 ft/s² × 6 ft) = 13.86 ft/s

Step 2: Calculate the maximum walking speed of a hippopotamus

The leg of a hippopotamus measures L = 3 ft.

Sh= √(g × Lh)

Sh= √(32 ft/s² × 3 ft) = 9.80 ft/s

Step 3: Determine how many times greater is the maximum walking speed of a giraffe than a hippopotamus

We will make the ratio Sg/Sh

Sg/Sh = (13.86 ft/s)/(9.80 ft/s) = 1.41

The maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The leg of a giraffe measures L = 6 ft.

S(g)= √(g×L)

S(g) = √(32 ft/s² × 6 ft)

S(g) = 13.86 ft/s

The maximum walking speed of a hippopotamus:

The leg of a hippopotamus measures L = 3 ft.

S(h)= √(g×L)

S(h) = √(32 ft/s² × 3 ft)

S(h) = 9.80 ft/s

The ratio S(g) to S(h)

S(g)/S(h) = 13.86/9.80 = 1.41

S(g) = 1.41S(h)

Thus, the maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

Learn more about the ratio here:

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Answer:

56.7

Step-by-step explanation:

2.7 x 21 = 56.7

Answer:

Answer A.

Step-by-step explanation:

There is a 1/2 chance of getting either heads or tails on a coin since there are only two sides. That means that half of the pairs should contain H and half should contain T.

There is a 1/6 chance of rolling every number on a die. So this needs to be represented with the numbers 1-6 on every pair.

So if we combine both of those, 1-6 being on every pair and H being on half and T being on the other half, we get

1, H

2, H

3, H

4, H

5, H

6, H

1, T

2, T

3, T

4, T

5, T

6, T

Which is answer A.

50

there are 6 numbers in a dice so the probability of guessing it right is 1/6 and if you roll it 60 times you could expect ten 1's

Answer:

300%

Step-by-step explanation:

21/7=3 This means that 21 is 3 times more than 7.

Answer:

8.9cm

Step-by-step explanation:

Volume of a cube = L × L × L = L³

710 = L³

L = ³√710

L= 8.9 cm

The length of each side of Cube is 8.9 cm.

The length is to be multiplied by itself three times to get the volume. The volume is measured in cubic units.

For example, cubic units.

Given:

Volume of a cube is 710 cm.

So, Volume of Cube = l³

710 = l³

l = ∛710

l = ∛ (71 x 10

l = 8.9 cm

Hence, the edge length is 8.9 cm.

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Answer:

6 out of 11 is the probability of choosing a odd number

Step-by-step explanation:

Answer:

It will take 1 hour and 25 minutes to pack the 40 hampers

Step-by-step explanation:

Julie can pack 18 hampers in 5 hours

Kyle can pack 14 hampers in 4 hours

Julie and Kyle work together to pack a total of 40 hampers

Work done by Julie in one hour = 18/5

Work done by Kyle = 14/4

Work done all together

14/4 * 4 + 18/5 *5 = 40 * 1/x

14+18/40 = 1/k

K = 40/32 = 1.25 hours

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer:

The answer is A.

If you look at the x values of the coordinates, you can see that they multiply by 2 when dilated to the next shape.

M (5,0) ---> M' (10,0)   5 to 10 means a scale factor of 2. So A is your answer.

Answer:

3/2

Step-by-step explanation:

rate of change (m) can be found in the equation, y= mx+b

So, the rate of change is 3/2

Answer:

-7,-4,-3,+1,+8

Step-by-step explanation:

The bigger the negative number, the less it's worth

Answer:

-7, -4, -3, +1, +8

Step-by-step explanation:

when it comes to negative numbers the larger number is less than the lower number

Answer:

(1/3)(9*9*10)=270cm^3 pyramid volume

270/(4*4*4)=4.22cubes

round

5 wax cubes

Answer:

2

Step-by-step explanation:

you need to see

Answer:

I believe the answer is -1 (7x-60)(x+4)

Answer:

95%

Step-by-step explanation:

When a value is multiplied by 0.05 ;

The equivalent percentage decrease on the value is :

(1 - 0.05) * 100%

0.95 * 100%

= 95%

Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer:

C.

Step-by-step explanation: