Answer:
The answer is below
Step-by-step explanation:
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b, length be a and height be c Hence:
b² = a² + c²
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
B) The plywood needs to be 5.83 feet long
C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:
10² = a² + 6²
100 = a² + 36
a² = 64
a = 8 feet
Answer:
Identifying and Writing Equivalent Rates
Ratios compare two quantities. A rate is a type of ratio that compares two quantities that have different units of measurement. The word “per” is often used to describe rates.
Rates can be written as fractions. The first quantity is the numerator and the second quantity is the denominator. Different rates that have the same value are equivalent rates. You can find an equivalent rate the same way you find equivalent ratios—divide or multiply the numerator and the denominator by the same number.
Step-by-step explanation:
Answer:
1/6 cups more
Step-by-step explanation:
1/2=3/6
1/3=2/6
3/6-2/6=1/6
Answer:
The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.
Answer:
x>10
Step-by-step explanation:
4(2x + 2) + 12 > 100
Subtract 12 from each side
4(2x + 2) + 12 -12> 100-12
4(2x + 2) > 88
Divide by 4
4/4(2x + 2) > 88/4
2x+2 > 22
Subtract 2
2x+2-2 > 22-2
2x> 20
Divide by 2
2x/2 >20/2
x>10
