Answer:
The answer to your question is below
Step-by-step explanation:
When a denominator has a positive exponent we change it into an expression with a negative exponent and vice-versa, when a numerator has a positive exponent, we change it into a denominator with a negative exponent.
a) = p⁻⁴
b) = 25⁻¹
Answer:
Answer is a = -4
3a + 4 = 2a
Subtract 2a from each side
a + 4 = 0
Subtract 4 from each side
a = -4
Step-by-step explanation:
Answer:
m<PSR = 60°
Step-by-step explanation:
Given:
m<OPQ = 50°
m<ORQ = 70°
Required:
m<PSR
Solution:
m<PQR + m<OPQ + m<ORQ = 180° (Sum of triangle)
m<PQR + 50 + 70 = 180 (Substitution)
m<PQR + 120 = 180
m<PQR = 180 - 120
m<PQR = 60°
One of the properties of a kite states that the angles where the unequal sides meets are congruent to each other. Therefore:
m<PSR = m<PQR
m<PSR = 60° (substitution)
Answer:
264 sq. in.
Step-by-step explanation:
The easiest way to find the lateral surface area is to multiply the perimeter of the base times the height.
In your case the perimeter of the base is 2(8) + 2(3) = 16 + 6 = 22
The height is 12, so multiply 12 times 22 = 264 sq. in.