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bazaltina [42]
2 years ago
13

Someone help me out please

Mathematics
1 answer:
Rufina [12.5K]2 years ago
3 0

Answer:

\displaystyle x=\frac{5}{4},\;\;1\frac{1}{4},  \;\; or \;\; 1.25

Step-by-step explanation:

    To solve for x, we need to isolate the x variable.

    Given:

\displaystyle x+\frac{1}{2} =\frac{7}{4}

    Subtract \frac{1}{2} from both sides of the equation:

\displaystyle (x+\frac{1}{2})-\frac{1}{2} =(\frac{7}{4})-\frac{1}{2}

\displaystyle x=\frac{7}{4}-\frac{1}{2}

    Now, we will create common denominators to simplify.

\displaystyle x=\frac{7}{4}-\frac{2}{4}

\displaystyle x=\frac{5}{4}

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In ΔGHI, the measure of ∠I=90°, the measure of ∠G=62°, and GH = 96 feet. Find the length of IG to the nearest tenth of a foot.
alexandr402 [8]

Answer:

45.1feet

Step-by-step explanation:

Given the following

∠I=90°

∠G=62°, and

GH = 96 feet = Hypotenuse

Required

IG = Adjacent side

Using the SOH CAH TOA identity

Cos theta = Adj/hyp

Cos 62 =IG/96

IG = 96cos62

IG = 96(0.4695)

IG = 45.1feet

Hence the length of IG to the nearest tenth is 45.1feet

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2 years ago
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One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o
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18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

<em><u>Solution:</u></em>

Given that,

<em><u>A swimming pool is in the shape of a rectangular prism</u></em>

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Width = 10 feet

Height = 5 feet

<em><u>Find the surface area of prism</u></em>

A=2(wl+hl+hw)

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A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700

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Given that,

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How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

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Answer:

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Step-by-step explanation:

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