The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.
(side1)^2 + (side2)^2 = (hypotenuse)^2
Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...
4^2 + height^2 = 8^2
If we solve for height, we get the following...
height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)
Since we are only asked for what is inside the square root, our answer is 48.
It would be 16 meters long
Answer:
1 kg of 30% gold and 3 kg of 10% gold
Step-by-step explanation:
Let us take "x" kg of 30% gold, and
"y" kg of 10% gold
We need to make 4 kg of 15% gold, that would be:
4(15%) = 4 (15/100) = 4(0.15) = 0.6kg
We can now write an equation as:
30%x + 10%y = 4(0.15)
0.3x + 0.1y = 0.6 <u>(equation 1)</u>
Also, we know there will be 4 kg from "x" and "y", so we can write:
x + y = 4
or x = 4 - y
We substitute this into equation 1 and solve for y first:
0.3x + 0.1y = 0.6
0.3(4 - y) + 0.1y = 0.6
1.2 - 0.3y + 0.1y = 0.6
0.2y = 0.6
y = 3
And x = 4 - y, x = 4 - 3 = 1
So,
1 kg of 30% gold and 3 kg of 10% gold
Answer:
Red: 47.5%, Yellow: 30%, Blue: 22.5%
Step-by-step explanation:
<h3>Given:</h3>
<h3>Volume of the hemisphere:</h3>
<h3>Volume of the cylinder:</h3>
<h3>Total volume:</h3>
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>35.34</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>
