Answer:
Wheel1 = 147inches , wheel 2 = 113inches
Wheel 1 will travel 147 revolutions.
Step-by-step explanation:
Finding the circumference of both wheels
Wheel 1 = 2 pi r = 2 × 3.142 × 23.4 = 147.05 inches. To the nearest inches = 147inches
Wheel 2 = 2 pi × r = 2 × 3.142 × 18 = 113.11inches . To the nearest inches = 113inches.
I rotation = 1 revolution
In 1 rotation, wheel 1 will travel= 147 × 1 = 147 revolutions.
Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4
. (the ratio is 1:1: by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1: since it is an isosceles triangle, the leg is 8.
Answer:
A) 68
Step-by-step explanation:
Use the <em>Exterior Angle Theorem</em>.
The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.
Set the equation. Note that you are given the exterior angle and one interior angle:
58 + x = 126
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:
x + 58 (-58) = 126 (-58)
x = 126 - 58
x = 68
A) 68 is your answer.
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Answer:
D
Step-by-step explanation:
To find the y- intercept, let x = 0 in the equation
Given
f(x) = - 
- 1, then
f(0) = - 
- 1 = - - 1 ← y- intercept,
(0, - - 1 ) ← coordinates of y- intercept
Answer:29
Step-by-step explanation:
27r=783
divide both sides by 27
27r÷27=783÷27
r=29
