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Ghella [55]
3 years ago
9

Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

4 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 = \frac{1}{2} h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h = \frac{92}{23} = 4 units

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Does anyone know this
Phantasy [73]

The value of x is 20.

Solution:

Sides of one triangle are 2x – 4 and 39.

Sides of another triangle are x + 6 and 24.

<u>Property of similar triangle:</u>

<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

$\frac{2x-4}{24} =\frac{39}{x+6}

Do cross multiplication.

(2x-4)(x+6)=39\times 24

2x^2+12x-4x-24=936

2x^2+8x-24-936=0

2x^2+8x-960=0

Divide by 2 on each of the term.

x^2+4x-480=0

Solve using quadratic equation.

(x-20)(x+24)=0

(x-20)=0, \ (x+24)=0

x = 20,  \ x = -24

Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.

Therefore x = 20.

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Matty is always on the playground his favorite coins to collect or nickels and dimes. He has found $6.20, or $72 total nickels a
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For the third week of February, Betty Robinson worked 46 hours. Betty earns $17.50 an hour. Her employer pays overtime for all h
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Answer:

1. 700

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