Answer:
8.75cm²
Step-by-step explanation:
First we need to find the angle subtended by the arc
L = theta/360 * 2pir
3.5 = theta/360 * 2*3.14(5)
3.5 = theta/360 * 31.4
theta/360 = 3.5/31.4
theta/360 = 0.11146
theta = 0.11146 * 360
theta = 40.13 degrees
Area of the sector = theta/360 * pir^2
Area of the sector = 40.13/360 * 3.14*25
Area of the sector = 40.13/360 * 78.5
Area of the sector = 8.75cm
Hence the area of the sector is 8.75cm²
Answer:
I hate maths it's a boring subject
I don't know because of the denomination at the end
The measure of the angle m∠CBD that forms an adjacent angle is 35 degrees.
<h3>What are adjacent angles?</h3>
Adjacent angles are angles that have common side and vertex.
Therefore, the common vertex is at point B.
m∠CBD = m∠ABD - m∠ABC
Therefore,
m∠ABD = 75 degrees
m∠ABC = 40 degrees
Hence,
m∠CBD = 75 - 40
m∠CBD = 35 degrees
learn more on angles here; brainly.com/question/1592068
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Answer: The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.
Step-by-step explanation:
Let x be the rate of mechanic who worked 5 hours
And y, the rate of mechanic who worked 15 hours
Represent the question in an equation
x + y = 150.............. equation 1
5x + 15y = 1800........equation 2
x + y = 150, x = 150 -y
Substitute the value of x into equation 2 to get y
= 5 (150 -y) + 15y = 1800
Then open the bracket
750 - 5y + 15y = 1800
750 + 10y = 1800
10y = 1800 - 750
10y= 1050 (divide both sides by 10)
y = 1050/10
y = 105
Substitute the value of y into equation 1 to get the value of x
x + 105 = 150
x = 150 - 105
x = 45
Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.
I hope this is clear, mark as brainliest please
