3D trigonometry as in picture

(a)

9.11

(b)

70.8

Step-by-step explanation:

(a)

We can find AG by finding AC and CG, then using the Pythagorean Theorem. To find AC, awe can create triangle ABC, using the Pythagorean Theorem to find AC=√(5²+7²)≈8.602. Since this is a cuboid, CG=AE=3, as the height is constant. Therefore, √(AC²+3²)=AG=9.11, rounded to 3 significant figures.

(b)

To find this, we can create triangle AGC, finding angle G. This is because CG is directly on the plane, and this is the angle that goes right next to that line. Therefore, cos(G)=3/9.11, and G=arccos(3/9.11)=around 70.8

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.