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natita [175]
3 years ago
6

Can someone help me out? short explanation if possible? ​

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

The line that goes through the midpoint of the circle and cuts it into two equal halves is called the diameter (d) (the black line).

You diameter is 14cm long and to find the area of circle you need radius (r).

d=14\mathrm{cm}

Radius is defined as d/2 (a half of diameter).

r=\dfrac{d}{2}=\dfrac{14\mathrm{cm}}{2}=7\mathrm{cm}

Now that we know the radius we can calculate area

A=\pi r^2\approx3.14\cdot(7\mathrm{cm})^2\approx\boxed{153.86\mathrm{cm^2}}

Hope this helps.

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Explanation:

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Reflect the point C17,-5) over the x-axis
mamaluj [8]

Answer:

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Step-by-step explanation:

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Please assist me with #5, 6, 7, 8​
Leona [35]

Answer:

5a. -0.4 m/s²

5b. 290 m

6. 12.9 s

7. 100 s

8. 17.2 km/hr

Step-by-step explanation:

5. "While approaching a police officer parked in the median, you accelerate uniformly from 31 m/s to 27 m/s in a time of 10 s.

a. What is your acceleration?

b. How far do you travel in that time?"

Given:

v₀ = 31 m/s

v = 27 m/s

t = 10 s

Find: a and Δx

v = at + v₀

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Δx = ½ (v + v₀) t

Δx = ½ (27 m/s + 31 m/s) (10 s)

Δx = 290 m

6. "If a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.7 m/s², how long does it take for the antelope to reach a speed of 22 m/s?"

Given:

v₀ = 0 m/s

v = 22 m/s

a = 1.7 m/s²

Find: t

v = at + v₀

(22 m/s) = (1.7 m/s²) t + (0 m/s)

t = 12.9 s

7. "A 1200 kg airplane starts from rest and moves forward with a constant acceleration of 5 m/s² along a runway that is 250 m long. How long does it take the plane to travel the 250 m?"

Given:

v₀ = 0 m/s

a = 5 m/s²

Δx = 250 m

Find: t

Δx = v₀ t + ½ at²

(250 m) = (0 m/s) t + ½ (5 m/s²) t²

t = 100 s

8. "During a marathon, a runner runs the first 10 km in 0.58 hours, the next 10 km in 0.54 hours and the last 10 km in 0.62 hours.  What is the average speed of the runner during that marathon?"

This isn't a constant acceleration problem, so there's no need for a chart.

Average speed = total distance / total time

v = (10 km + 10 km + 10 km) / (0.58 hr + 0.54 hr + 0.62 hr)

v = 30 km / 1.74 hr

v = 17.2 km/hr

3 0
3 years ago
If m&lt;6=85° what is the measure of &lt;3
777dan777 [17]

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Lena [83]
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