Angles are 18° and 72°
Step-by-step explanation:
- Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.
x + 4x = 90° (∵ they are complementary)
5x = 90
∴ x = 90/5 = 18
⇒ Angles are 18° and 4x = 72°
Answer:
The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1
The factors of 32 are 32, 16, 8, 4, 2, 1.
Step-by-step explanation:
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:
1557/1892
Step-by-step explanation:
Your calculator can do this:
The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.
From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15
Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
