I think it is D, hope it helps
Answer:
< 4, - 7 >
Step-by-step explanation:
- w - z
= - < - 5, 3 > - < 1, 4 > ← multiply each component in w by - 1
= < 5, - 3 > - < 1, 4 > ← subtract corresponding components
= < 5 - 1, - 3 - 4 >
= < 4, - 7 >
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Imagine the path of the tip of the pendulum as an arc of a circle. The circle would have a radius of 4 feet and the arc would be 20 degrees. To calculate the length of the arc, you need to find 20 degrees of the circumference.
Length of Arc = 2*pi*R*Degree of arc/360
Length of Arc = 2*pi*4*20/360
Length of Arc = 8pi * 1/18
Length of Arc = 4/9 pi feet
<span>Length of Arc ~ 1.396263402 feet
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
