The measure of the arc is given as π/2. See the explanation below.
<h3>What is an arc?</h3>
An "arc" is a curve that connects two points in mathematics.
It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.
<h3>What is the calculation for the above solution?</h3>
Note that the viewing angle is 45°.
Thus, the center angle is:
45 X 2 = 90°
Measure of the arc therefore is:
= (π/180°) x 90
= π/2
Learn more about arcs at:
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Answer:
118 degrees
Step-by-step explanation:
I think you it's the same, because it a just rotation of the shape.
Answer:
The answer is below
Step-by-step explanation:
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.
Answer:
Part A:
Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s
Part B:
Between 2 and 4 seconds, the height stays constant at 75 feet.
Part C:
Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s
Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s
Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s
Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.
Part D:
From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.
Answer:
b=-1
Step-by-step explanation:
given.3b+(-5)=(2b)³(-3)2+6=?
3b-5=8b-6+6
3b-5=8b
-5=8b-3b
-5=5b
-5/5=5b/5
b=-1
-3-5=-8-6+6=?
-8=-8=-8
Perimeter is adding up all the dues together
if it’s 30
13+5=18
30-18=12
x is 12
