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Marina86 [1]
3 years ago
8

I’m confused on this one

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0
The question is asking for the sector arc length WZ,which can be find through the sector formula:
2\pi \: r \times  \frac{angle}{ {360}^{o} }
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.

In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.

Thus 5.32in. is the answer.

Hope it helps!
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Between t=10 and t=60 the acceleration is 0.4 calculate the speed when t=60​
Lisa [10]

Answer:

i dont understand

Step-by-step explanation:

7 0
3 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
What is the length of DF in cm DE=2cm EF=6cm
Eddi Din [679]
12 cm because 2•6=12
5 0
3 years ago
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!<br><br><br><br><br><br> Only need 4b and 4c
JulsSmile [24]

ANSWER:

b) No

c) Yes

EXPLANATION:

3 (x+1)=3x+3

b)

3 (-8 + 1) = 3 x -8 + 3

(3 x -8) (3 x +1) = 3 x -8 + 3     (just put left and right sides into calcu separately)

-72 = -21

Both sides are not equal and therefore it isn't a solution.

c)

3 (0.5 + 1) = 3 x 0.5 + 3

(3 x 0.5) (3 x +1) = 3 x 0.5 + 3

4.5 = 4.5

Both sides are equal and thereofre it IS a solution.

6 0
3 years ago
I need help asap please? this is for math? what is the square root of 144+12^2-72x6/3?
kirill115 [55]

Answer:

the answer is 312 hopes this helps

Step-by-step explanation:

the square root of 144 is 12

12+12^2 =?

12+144=156

156x6=936

936/3=?

312

4 0
2 years ago
Read 2 more answers
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