Because you are multiplying you add the exponents together. -5+6=1 so you only have 3 to the power of one left over or just 3 in the parentheses. Then multiply 2x3 to get 6.
Answer:
15
Step-by-step explanation:because u add them all up
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
Answer:
The diagonal must be 17 ft
Step-by-step explanation:
To determine the diagonal, we will use the Pythagorean theorem. That is for right triangles (which means the angle is 90 degrees)
a^2 + b^2 =c^2
where a and b are the legs and c is the hypotenuse
a = 8 ft and b = 15 ft because these are the sides of the wall and the hypotenuse will be the diagonal
8^2 + 15^2 = c^2
64+225 = c^2
289 = c^2
Take the square root of each side
sqrt(289) = sqrt(c^2)
17 =c
The diagonal must be 17 ft
Answer:
x = 0, x = 1
Explanation:
3x^2 - x = 2x
3x^2 -x -2x = 0
3x^2 -3x = 0
3x(x-1) = 0
x = 0, x = 1