Answer:
The total value of the given expression is 12.
Step-by-step explanation:
(-2 + 1)² + 5(12 ÷ 3) - 9
First, do the expressions within the parentheses.
(-1)² + 5(4) - 9
Next, simplify the exponents.
1 + 5(4) - 9
Next, multiply 5 by 4.
1 + 20 - 9
Add 1 and 20 together.
21 - 9
Subtract 9 from 21.
12
So, the final answer to this equation is 12.
Answer:
width= x-7
Step-by-step explanation:
l= 8x
Area = l*b
b= 8x^2-56x/8x
b= 8x(x-7)/8x
b= x-7
Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
Answer:
The angle is 
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = 
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = 
Sin θ = 0.0875
θ = 
0.0875
= 
The angle made by the rope with respect to the ground is approximately .
4x-2 + 7x-18 + 6x+6 = 360 degrees
combine like terms
17x-14 = 360
add 14 to both sides
17x =374
divide both sides by 17
x = 374 / 17 = 22
JL = 7x-18
replace x with 22 and calculate
7(22) - 18 = 154 -18 = 136 degrees
