Can someone please help me with this question and give step by step so i understand it better? tysm
1 answer:
Answer:
2,304
See below
:)
Step-by-step explanation:
You are supposed to find the volume.
To do this, find the volume of the green figure and blue(ish) figure separately and then add them together.
For volume, it is
length times width times height
it doesn't matter what you say is length or height or whichever.
so let's do green
12 * 12 * 6
12*12 is gross aka 144
then 144*6 is... 864
The volume of the green figure is 864 cubic inches.
Now let's find the blue(ish) figure.
18 * 8 * 10
that equals 1,440 (calculator)
The volume of the blue(ish) figure is 1,440 cubic inches.
<u><em>Now add the two volumes together. </em></u>
1,440+864 = 2304
2,304 in³
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Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
<h2>Exterior Angles of a Triangle:</h2>An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
<h2>Sum of angles in a Triangle:</h2>The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
