Step-by-step explanation:
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Answer:
x = 33/5
Step-by-step explanation:
4x+x-15+3-8=13
Combine like terms
5x -20 = 13
Add 20 to each side
5x-20+20 = 13+20
5x =33
Divide by 5
5x/5 = 33/5
x = 33/5
By the Pythagorean Theorem:
The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:
h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:
9.4^2=6.8^2+GF^2
GF^2=9.4^2-6.8^2
GF^2=42.12
GF=√42.12 units
GF≈6.49 units (to nearest hundredth of a unit)
Answer:
Step-by-step explanation:
we know that
The volume of a trough is equal to
where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to
where
substitute
step 2
Find the volume of a trough
we have
substitute
Answer:
4.8
Step-by-step explanation:
![r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \:](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B108%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%204.7622031559%20%5C%5C%20%20%5C%5C%20r%20%5Capprox%20%5C%3A%204.8%20%5C%3A%20)
