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denis23 [38]
3 years ago
10

BCALLE can u help me *3

Mathematics
1 answer:
sveta [45]3 years ago
3 0
Sin∠R = ST/RS   ⇒  ST = RS * sin40° = 9 * 0.6428 ≈ 5.8
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the high school lunch menu repeats every 6 school days the middle school lunch menu reapeat every 8 school days on march 5th bot
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3 years ago
Read 2 more answers
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0
3 years ago
Find the EXACT circumference and area of a circle that has a radius of 6 cm. (use pi for )
irina [24]
Circumference of circle = 2 pi r
= 2 x 3.14 x 6
= 6.28 x 6
= 37.68 cm

Area of circle = pi r^2
= 3.14 x 6^2
= 3.14 x 36
= 113.04 cm^2
5 0
2 years ago
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