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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<span>Let us use the variable x for length. So width will be 1/2x + 3.
Perimeter = x+x+ 1/2x + 3 +1/2x + 3 = 3x + 6 = 66
Therefore 3x = 66-6 = 60
So x = 60/3 = 20
The length is 20 cm.
Therefore the width = 1/2 of 20 + 3 = 10 + 3 = 13 cm
Check: 20+20+13+13 = 66</span>
Both of the other angles should be 45. 180-90=90. 90 divided by 2 equals 45
The position of the ball when it is at its highest point is 121
<h3>Polynomial function</h3>
Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,
The velocity of the ball at the maximum point is zero. Hence;
dy/dx = -1/125(x-175)
Equating to zero;
0 = -1/125(x - 175)
x = 175
Substitute into the function to get the maximum height
y = -1/250(175 - 175)^2 + 121,
y = 121
Hence the position of the ball when it is at its highest point is 121
Learn more on polynomial function here: brainly.com/question/2833285
Answer:
$740.00
Step-by-step explanation:
85% of x is 629
Translate into algebra. Use a decimal in place of the percent:
.85x = 629
Divide by .85
x = 740
This answer makes sense because the regular price should be a little higher than the sale price. If they are paying 85% they're only getting 15% off.
Check:
740×.85 = 629
