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Reptile [31]
2 years ago
7

GEO, TRIGONOMETRY! 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER. NEED HELP ASAP PLEASE :) Isabell is standing at the top of a wat

erslide that leads to a pool below. The angle of depression from top of the slide to the pool is 31.66°, and the slide is 46 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot
Mathematics
1 answer:
IRINA_888 [86]2 years ago
5 0

Answer:

h ≈ 39 ft

Step-by-step explanation:

When we draw out a picture, we should see that we have to use cos∅ to solve this:

cos31.66° = x/46

46cos31.66° = x

x = 39.1542

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−2 1/4=r−4/5<br><br> What is r?
dmitriy555 [2]

Answer:

r = -29/20 or r = -1.45

Step-by-step explanation:

I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:

-2 1/4 = r - 4/5

-9/4 = r - 4/5

-9/4 (20) = r (20) - 4/5 (20)

-45 = 20r - 16

20r = -29

r = -29/20

r = -1.45

Check:

-2 1/4 = r - 4/5

-9/4 = r - 4/5

-2.25 = r - 0.8

-2.25 = -1.45 - 0.8

-2.25 = -2.25

-9/4 = -9/4

4 0
3 years ago
Evaluate this integral. I'm not sure how to evaluate integrals with absolute values.
SOVA2 [1]

Answer:

  1

Step-by-step explanation:

The first step is to understand what the integrand looks like. (See the graph below.)

It is -1 for x < 0 and +1 for x > 0. Thus, the value of this integral is ...

  \int\limits^0_{-1} {-1} \, dx + \int\limits^2_0 {1} \, dx=-1+2=1

_____

Essentially, you treat the absolute value as a piecewise linear function. This is the same way you treat an absolute value in any equation or inequality.

Here, this means you divide the integral into two parts: one where the integrand is -x/x, and one where it is +x/x.

6 0
3 years ago
the tangent of theta is 1, the terminal side of theta lies in the 3rd quadrant. what is a possible value for theta? give your an
riadik2000 [5.3K]

Answer:

5π/4 radians or 225°

Step-by-step explanation:

5 0
3 years ago
The UAE Hope Probe is between 22,000 Km and 44,000 KM away from mars. This means its between _____________m and ______________m.
Marina86 [1]

Answer:

This means it is between 22000000 m and 44000000 m.

Step-by-step explanation:

From the question, the UAE Hope Pobe is between 22 000 km and 44 000 km away from Mars.

Since,

1 000 m = 1 km

Then,

22 000 km = 22 000 x 1000 m

                   = 22000000 m

also,

44000 km = 44000 x 1000 m

                  = 44000000 m

Therefore, the Probe is between 22000000 m and 44000000 m.

6 0
2 years ago
Simplifying entire surds 4√48
ira [324]
Hope this helps youuu

8 0
3 years ago
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