Answer:
A. 8
Step-by-step explanation:
16+y=24
16+8=24
Therfore the answer is A
Answer:
Length of arc AB = 1.57 yds
Step-by-step explanation:
Given:
Central angle (θ) = 30°
Radius (r) = 3 yds
Required:
Length of arc AB approximated to the nearest hundredths
Solution:
Length of arc = θ/360 * 2πr
Length of arc AB = 30/360*2*π*3
Length of arc AB = 1.57079633
Length of arc AB = 1.57 yds (nearest hundredths)
Answer:
first order the data from least to greatest. Then subtract the smallest value from the largest value in the set
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Pentagon has 5 sides
The formula for finding the sum of the measure of the interior angles is (n - 2) * 180
(5-2)×180= 3×180=540
To get each interior angles
540/5 = 108
180 -108 = 72
To get x
72+72+x= 180 (sum if angles in a triangle)
144+x= 180
x = 180 -144 = 36
2. x is part of the interior angles = 108
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
