Answer: 56.0°
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
b² = a² + c² - 2ac · cos B
20² = 22² + 18² - 2(22)(18) · cos B
400 = 484 + 324 - 792 · cos B
400 = 804 - 792 · cos B
-404 = - 792 · cos B
0.5151 = cos B
cos ⁻¹ (0.5151) = B
55.99 = B
56.0 ≈ B
Answer:105
Step-by-step explanation:
first find f(7)
(7)^2 + 1
=50
then put the answer for f(7) in g of x
2(50) + 5
=105
So, to find the volume of just the cement part, you need to find the volume of the whole shape, then find the volume of the garden. then subtract them to find the volume of just the cement sidewalk.
volume of garden: 16 x 6 x 1 (l x w x h)= 96 ft3
volume of whole: length=16+4+4=24, width=6+4+4=14, height=1
you have to add 4 to each sides of the length and width to get the entire length.
volume of whole=24 x 14 x 1=336 ft3
now subt.
336-90=246 ft3 would be the volume of the cement walkway.
Answer:
8
Step-by-step explanation:
this is because a square has 4 and one side has a measurement of 2in
so you would and all the sides (2+2+2+2) which will give you an answer of 8
Step-by-step explanation:
<u>Step 1: Answer the first question</u>
Area of a triangle → 
Total Area → 
Answer: Option D, 
<u>Step 2: Answer the second question</u>
We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B
Answer: Option B, 
