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3 years ago

Isaac used 1/4 of an ounce of nuts to make 1/8 of a cake. How many ounces of nuts are needed to make one cake?

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer:

2 ounces of nuts are needed to make one cake.

Step-by-step explanation:

if he uses 1.4 to make 1/8 of a cake, then you need to do it 8 times to make a full cake. Multiply 1/4 * 8 which is equal to 8/4 which simplifies to 2. This is your answer!

2 ounces of nuts are needed to make one cake.

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Answer:

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Step-by-step explanation:

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3 years ago

Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)

marusya05 [52]

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

$~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill$

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}$

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2 years ago

The area of the isosceles triangle is 80 square centimeters. Use the equation 1/2(8h) =80 to find the height of the triangle.

Dmitry [639]

Answer:

20cm

Step-by-step explanation:

Given data

Area= 80cm^2

we know that the expression for the area of a triangle is

A= 1/2B*H

from the given expression 1/2(8h) =80 the base is 8cm

let us substitute to find the height h

1/2(8h) =80

4h=80

h= 80/4

h= 20cm

Hence the heigth h is 20cm

6 0

3 years ago