when you add two negatives its just like regular number, -3+-5=-8 same as 3+5=8
Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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Answer:
See below.
Step-by-step explanation:
Part A:
For Dog walking, he earns $30 for 5 hours of work.
He earns $36 for 6 hours of work.
$30/5 hours = $6/hour
$36/6 hours = $6/hour
He earns $6/hour dog walking.
For 8 hours, he earns 8 hours * $6/hour = $48
To earn $66, he works 66/6 = 11 hours.
5 30
6 36
8 48
11 66
Part B:
He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.
Table for yard work
Hours Money
5 $35
6 $42
8 $56
Part C:
For 5 hours, he earns $35 for yard work and $30 as a dog walker.
$35 - $30 = $5
The rock's height is increasing in the interval from 0 seconds to 3 seconds.
At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
