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VLD [36.1K]
3 years ago
10

The area of a trapezoid is 70.55 square feet. The length of the bases are 11.4 and 5.6 feet. What is the height of the trapezoid

?
Mathematics
2 answers:
olasank [31]3 years ago
5 0

Answer:

The height is 8.3 feet

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

Area=½(sum of bases)*height

We substitute area=70.55, and the base lengths 11.4 and 5.6 feet and solve for the height.

70.55 =  \frac{1}{2} (11.4 + 5.6)h

70.55 =  \frac{1}{2} (17)h

70 .55 = 8.5h

h =  \frac{70.55}{8.5}

h = 8.3

notka56 [123]3 years ago
5 0

Answer:

The height is 8.3 feet

Step-by-step explanation:

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The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

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1 year ago
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QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

{h}^{2}  =  {6}^{2}  +  {8}^{2}

{h}^{2}  = 36+ 64

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Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

{l}^{2}  +  {33}^{2}  =  {55}^{2}

{l}^{2}  =  {55}^{2}  -  {33}^{2}

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QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the values to get,

d=\sqrt{( - 1-2)^2+(3- - 1)^2}

d=\sqrt{( - 3)^2+(4)^2}

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Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

d=\sqrt{( - 3-2)^2+( - 3- 2)^2}

d=\sqrt{( - 5)^2+( - 5)^2}

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2 years ago
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1 foot = 12 inches

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Volume = length*width*height

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Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

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