Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
<h3>
Answers: B and C</h3><h3>
Acceleration and velocity</h3>
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Explanation:
Distance is a scalar. It's simply a single number. It does not include a direction. We can rule out choice A. If you wanted direction connected to distance, then it would form a displacement vector.
Acceleration is a vector because velocity is a vector, and vice versa. The two are tied together. The acceleration is the change in velocity. You can think of it as acceleration = velocity/time.
Speed is not a vector. It's a single value just like distance is. If you want to have speed tied to a direction, then you would form a velocity vector.
The seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.
As a product it would be length times two plus width times two. as a sum it'd be length + length + width + width
