Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
560 divided by 100= 5.6
Answer is 5.6
You also could have done .08 x 70 which is also 5.6
The area of the associated sector is: 120π
<h3>What is a sector?</h3>
A sector is the portion of the area of a circle surrounded by an arc and two radii.
Analysis:
Area of a sector = ∅/360 x π
∅ = 75°
r = 24 units
Area of sector = 75/360 x π
= 120
square units
In conclusion, the area of the associated sector is 120π square units
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2 cubed. Cubed also means multiply so enjoying by itself times. So, 2 * 2 = 4 * 2 = 8.
2 cubed = 8
Answer:
First and Second Derivative Tests. First identifies critical points. The second determines behavior around the point.
- Concave up is a minimum
- Concave down is a maximum
Step-by-step explanation:
The extreme points of a function are called the maximum and/or minimums. AT these points, the function (or y-values) are at their highest or lowest. These points are often the peaks and valleys of a function on a graph. You can determine if a function has max or min using the first and second derivative tests. The first determines critical points of the function. The second determines behavior around a point. If the value is positive then the function is concave up. It forms a valley and the point is a minimum. If the value is negative then the function is concave down. It forms a peak which has a maximum.
The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively
<h3 /><h3>How to find equation of the unknown</h3>
let
- x = end part
- Beginning = 1/6x
- Middle = 1/2x
- Total = 400 seconds
x + 1/6x + 1/2x = 400
(6x+x+3x) / 6 = 400
10/6x = 400
x = 400 ÷ 10/6
x = 400 × 6/ 10
= 2400 / 10
= 240 seconds
Therefore,
End part = x
= 240 seconds
Beginning = 1/6x
= 1/6 × 240
= 40 seconds
Middle = 1/2x
= 1/2 × 240
= 120 seconds
Complete question:
The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part
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