The surface area of the composite shape is: 315 in.².
<h3>What is the Surface Area of the Composite Shape?</h3>
Surface area = surface area of square pyramid + surface area of square prism - 2(base area)
Surface area of square pyramid = Area of base + 1/2(perimeter of base × slant height) = 9² + 1/2[4(9) × 7] = 207 in.²
Surface area of square prism = 2a² + 4ah = 2(9²) + 4(9)(3)
Surface area of square prism = 2(9²) + 4(9)(3) = 270 in.².
Base area = 9² = 81 in.².
Surface area of the composite shape = 207 + 270 - 2(81) = 315 in.².
Learn more about surface area on:
brainly.com/question/1297098
#SPJ1
360 because the sides are 120, 130, 60, and 50
Answer:
pretty sure its B and C
Step-by-step explanation:
because they have a common multiplier of 2.5 and are similar triangles
18 x 2.5 = 45
20 x 2.5 = 50
Use the pythagorean theorem to find y.
a²+b²=c²
3²+4²=c²
9+16=c²
25=c²
c=5
y=5
All angles of a triangle form a sum of 180. We know there is 65 and 90 degree angles given to us.
65+90+x=180
155+x=180
x=25
The value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = 1 - x²
g(x) = √(11 - 4x)
f(-1) = 0
g(-1) = √15
f(2) = -3
g(2) = √3
(f/g)(-1) = f(-1)/g(-1) = 0/√15 = 0
(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3
(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15
(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3
Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
Learn more about the function here:
brainly.com/question/5245372
#SPJ1