Answer:
Looks like the slope is -(1/2) and the equation is y= -(1/2)x + 1
Change the ratios to decimals and compare:
7 / 12 = 0.583
7 / 8 = 0.875
So 7:12 is less than 7/8
The answer is <
To find the area of a triangle, use 1/2 x b x h. 3 x 4 = 12 1/2 of 12 = 6
There are two triangles, each of these are 6 6 x 2 = 12
The bottom shape is 3.5 x 3 3.5 x 3 = 10.5
The front shape is 3.5 x 5 3.5 x 5 = 17.5
The back shape is 3.5 x 4 3.5 x 4 = 14
Add them all together: 14 + 17.5 + 10.5 + 12 = 54
Your answer is 54!
Answer:
10.5
Step-by-step explanation:
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π and cos A = cos B · cos C
scratchwork:
A + B + C = π
A = π - (B + C)
cos A = cos [π - (B + C)] Apply cos
= - cos (B + C) Simplify
= -(cos B · cos C - sin B · sin C) Sum Identity
= sin B · sin C - cos B · cos C Simplify
cos B · cos C = sin B · sin C - cos B · cos C Substitution
2cos B · cos C = sin B · sin C Addition
Division
2 = tan B · tan C

<u>Proof LHS → RHS</u>
Given: A + B + C = π
Subtraction: A = π - (B + C)
Apply tan: tan A = tan(π - (B + C))
Simplify: = - tan (B + C)

Substitution: = -(tan B + tan C)/(1 - 2)
Simplify: = -(tan B + tan C)/-1
= tan B + tan C
LHS = RHS: tan B + tan C = tan B + tan C 