to find the hypotenuse (or the ramp in question 4) you can use the equation
with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.
then square them.
simplify.
take the square root of both sides.
is approx. 9.5 so the answer would be H.
Answer:
y=4x+2
Step-by-step explanation:
To find the slope of a line, you would do y₂-y₁/x₂x₁
This would be 2-6/0-1...
So your answer would be -4/-1
After simplifying, your slope is 4.
To write this in slope-intercept form, that would be y=4x+2
We must find the area of each cake's top.
Formula for area of a circle:
where r is the radius.
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)
A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)
A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^
First convert all numbers into inches since that is the answer being solved for.
1 yard =36 inches
4.5 x 36 = 1,620 inches
1 foot = 12 inches
3 x 12 = 36 inches
36 + 8 = 44 inches
Now take 1,620 inches (starting ribbon measure) and subtract 44 inches (what was left over) to get the inches used to trim curtains.
1,620 inches - 44inches =
1,576 inches were used to trim the curtains.
