Hi!
We will solve this using proportions, like this:
3/4 cup for 8 slices of pie
x cup for 48 slices of pie
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x = ((3/4)*48)/8
x = (3*48)/(4*8)
x = 144/32
x = 4,5
You need 4 1/2 cups of white sugar for 48 slices of pie.
Hope this helps!
Answer:
45°
Step-by-step explanation:
The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...
x = 90-x . . . . . the base angle is congruent to the other base angle
2x = 90 . . . . . add x
x = 90/2 = 45 . . . . divide by 2
The measure of a base angle of an isosceles right triangle is 45°.
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It can be useful to remember this fact.
Answer:
x = 1.24
Step-by-step explanation:
In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:

We can bring the x down in front to give us:
ln(83) = x ln(35)
The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:

Do this on your calculator and find that x = 1.24
Answer:

Step-by-step explanation:
Given

Required
Shorten
We have:

Rationalize

Expand



Take positive square roots
Take LCM

Collect like terms

