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Alexus [3.1K]
2 years ago
10

Can someone plz help me

Mathematics
1 answer:
JulsSmile [24]2 years ago
7 0

Answer:

31.42

Step-by-step explanation:

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An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
faltersainse [42]

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

4 0
3 years ago
The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π
ad-work [718]

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

8 0
2 years ago
I NEED HELP ASAP GIVE U 50 POINTS​
Dovator [93]

Answer:

37.5

Step-by-step explanation:

50+160=210.

210 is a 31.25% increase from 160

Multiply 120 by 1.3125 to get 157.5

subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)

4 0
1 year ago
Can someone please answer this​
bija089 [108]

Answer:

the area is 20 in

Step-by-step explanation:

3 times 4 is 12. since we used 3 inches out of the 11, we can only multiply the 8 inches with 1. 8 times 1 is 8. 12+8=20.

6 0
2 years ago
It is the one closest to the top plz Help
s344n2d4d5 [400]

Answer:

3.6 ft

Step-by-step explanation:

6 0
2 years ago
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