Answer:p = -1.25
Step-by-step explanation:
Simplifying
3 + 17p = -32 + -11p
Solving
3 + 17p = -32 + -11p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '11p' to each side of the equation.
3 + 17p + 11p = -32 + -11p + 11p
Combine like terms: 17p + 11p = 28p
3 + 28p = -32 + -11p + 11p
Combine like terms: -11p + 11p = 0
3 + 28p = -32 + 0
3 + 28p = -32
Add '-3' to each side of the equation.
3 + -3 + 28p = -32 + -3
Combine like terms: 3 + -3 = 0
0 + 28p = -32 + -3
28p = -32 + -3
Combine like terms: -32 + -3 = -35
28p = -35
Divide each side by '28'.
p = -1.25
Simplifying
p = -1.25
Answer:
(1) 102.55 in
(2) 316.69 in²
Step-by-step explanation:
Applying (1)
a² = b²+c².............. Equation 1
Given: a = 25 in, b = 20 in,
25² = 20²+b²
b² = 25²-20²
b² = 225
b = √225
b = 15 in
b = diameter of the semicircle
The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in
Therefore,
P = 37+25+17+23.55 = 102.55 in
(2) Applying,
A = Area of the tripezium- area of the semi circle
A = [h(a+b)/2]-πh²/8.............. Equation 2
Given; h = 15 in, a = 17 in, b = 37 in
A = (15(17+37)/2)-(3.14×15²/8)
A = 405-88.31
A = 316.69 in²
Answer:
i think the answer is:
<u> B. 0.0142</u>
Step-by-step explanation:
Answer:
z = 60
Step-by-step explanation:
100+20+z=180
120+z=180
z=60
