Surface Area of a cone is
<span>pi * r * s + pi * r^2 </span>
<span>s is the side length, since you have 10 ft diameter, you know radius is 5. And since height is 12. With this, you have a 5-12-13 triangle, and s=13. </span>
<span>so </span>
<span>pi * 5 * 14 + pi * 5^2 = 95 pi or 298.3 </span>
<span>divide 298.3 by 15 and you get 19.88, you round up, so 20 is the answer </span>
The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle is given below.
The sum of the two interior angle is equal to the third exterior angle.
m∠x = (198 − 5n)°
m∠y = (5n + 37)°
m∠z = (n + 7)°
We know that
∠x = ∠y + ∠z
198 - 5n = 5n + 37 + n + 7
11n = 154
n = 14
Then the value of the angle ∠x will be
∠x = 198 – 5 × 14
∠x = 128°
Then the correct option is C.
The complete question is given below.
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1
Step-by-step explanation:
Given: 2x-6=5x+18
step 2 : the subtraction property of equality
step 4: the addition propert of equality
step 5: the division propert of equality
For 26
ST is = TU
27
2x-1=15
2x=16
X=8
9514 1404 393
Answer:
3. vertical stretch by a factor of 2; shift right 1 and down 1
4. shift left 4 and up 4 (no stretch or shrink)
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.
Compare the the given equations to the above form to see the transformations.
__
3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1
4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4