Answer:
x2+x-4=0
Step-by-step explanation:
Make all of the units equal.
1 gal = 4 quarts = 8 pints
1 quart = 2 pints
18 pt - 5 pt
13 pints or
1 gal 2 qt 1 pt
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
The have ordered 36 blue T-shirts.
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How I got it --- So, we take away 16 from 58. You get 42.
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So, from then, you know 36 is 6 times as many as 6, right? ( Because 6 x 6 = 36)
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So, then, you have ordered 36 blue shirts and 6 white shirts, because 36 + 6 =42.
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Glad I could help, and good luck!
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