By using trigonometric relations, we will see that x = 9.97°.
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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
First, we should find how many total milliliters we have by multiplying 250 mL by 10 servings to get 2500 mL. Then, we can convert 2500 mL to liters because 1000 mL equals 1 liters (2500/1000=2.5 L). Then since the bowl can only have 2 liters of punch, then 10 servings will not fit.
Hope this helps
''Two one-step equationsx + 7 = 10x = 7-7 = 10 - 7x = 3
y + 47 = 20y = 47 - 47 = 20 - 47y = 27
Two equations that contains fractions + 2 + 3 = 55/5 = or 1
+ 12 + 7 = 1919/20 =
Distributive property2x - 4(+4) = 10(+4)2x - 16 = 402x - 16 + 16 = 40 + 162x = 5656 ÷ 2 = 28x = 28
Decimalsx = 1.2 + 7.8 ÷ 3(5)1.2 + 7.8 = 99 ÷ 3 = 33 x 5 = 1515.0
One real-world problem that is solved by an equationJohnny deposits $2,000 into a bank account. If the interest rate is 5% per month how much will he have gained in interest in 6 years?5% of 2,000 is 100100 x 12 = 1,2001,200 x 6 = 7,200Johnny would gain $7,200 in 6 years''
hope this helps
