Answer:
15 units
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
Applying the Pythagorean Theorem
we have
substitute the given values
solve for BC
Answer: approximately 12.17 units
==========================================================
Work Shown:
We'll use the tangent ratio to find r
tan(angle) = opposite/adjacent
tan(49) = 14/r
r*tan(49) = 14
r = 14/tan(49)
r = 12.1700143294271
r = 12.17
The radius is approximately 12.17 units long.
Answer:
25 percent
Step-by-step explanation:
Percent decrease = (original - new)/original * 100 percent
= (40-30)/40 * 100 percent
= 10/40 * 100 percent
= .25 * 100 percent
=25 %
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
Hello!
To find the Volume, you'll need to multiply all of the measurements together. So you'll need to multiply 12, 16, and 13 together to get the Volume. First, let's multiply 12 and 16 together to get 192
192*13
Now you're left with 192*13. After you've multiplied them together you should get 2496
You should now have a Volume of 2496in³
I hope this helps!
