Answer:
36
Step-by-step explanation:
Here, f(x) is the input to g(x), forming a composite function.
To evaluate (gºf)(5),
1) find the value of f(5). It is f(5) = 6.
2) Use this result as the input to g(x): g(6) = (6)^2 = 36
x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
Answer:
C
Step-by-step explanation:
slope = rise /run
from point (2, 0) to point (-2, 2) you rise 2 and run -4 so m= 2/-4 = -1/2
Answer:
SA= 902.88 yd²
V = 1386.24 yd³
Step-by-step explanation:
Surface area
Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.
19² = 15.2² + b²
361 = 231.04 + b²
Subtract 231.04 from both sides
b² = 129.96
Root that
b = 11.4
Now that you have the base, find the areas of the triangles and rectangles.
<em>Triangles</em> - (15.2*11.4)1/2 (2)
15.2*11.4 = 173.28
<em>Rectangles </em>- (15.2)(16) = 243.2
(16)(11.4) = 182.4
(16)(19) = 304
Add them all together and the SA equals 902.88 yd²
Volume
V = Bh
V = 1/2(15.2)(11.4)(16)
V = 1/2 (2772.48)
V = 1386.24 yd³
