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Dovator [93]
3 years ago
14

PLEASE TELL ME HOW YOU GOT THE ANSWER!!!!!

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0
C is the answer. if the water is being pumped out then the height of the water would decrease.
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The probability that you roll a two on a six-sided die is 1 6 16 . If you roll the die 60 times, how many twos can you expect to
vodomira [7]

Answer:

60 * 1/6 = 10

we can expect 10 times to roll the 2.

6 0
3 years ago
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4 x -6<br><br> How many groups?<br><br> A. 4<br> B. -6
Andreyy89

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2(2x - 3)

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7 0
2 years ago
The radius of a circle is 3 miles. What is the length of a 90° arc?
stealth61 [152]

Answer:

The length of the arc is 4.6375 miles

Step-by-step explanation:

Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.

2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles

Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.

x/360 ---> 90/360 ---> = 0.25

Lastly multiply the two numbers.

18.55 * 0.25 ---> 4.6375 miles is your answer.

<em>(you may need to round your answer if needed)</em>

3 0
3 years ago
point b on the ground is 5 cm from point E at the entrance to Ollie's house. He is 1.8 m tall and is standing at Point D, below
enot [183]

Point B on the ground is 5 cm from point E at the entrance to Ollie's house.

Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.

The complete question is as follows:

Ollie has installed security lights on the side of his house that is activated by a  sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m, and the distance from B to C is 6m. Angle ACB is 15°.

The objective of this information is:

  • To find angle CAB and;
  • Find the distance Ollie is from the entrance to his house when he first activates the sensor.

The diagrammatic representation of the information given is shown in the image attached below.

Using  cosine rule to determine angle CAB, we have:

\mathbf{\dfrac{AB}{Sin \hat {ACB}} = \dfrac{BC}{Sin \hat {CAB}}= \dfrac{CA}{Sin \hat {ABC}}}

Here:

\mathbf{\dfrac{AB}{Sin \hat {ACB}} = \dfrac{BC}{Sin \hat {CAB}}}

\mathbf{\dfrac{4.5}{Sin \hat {15^0}} = \dfrac{6}{Sin \hat {CAB}}}

\mathbf{Sin \hat {CAB} = \dfrac{Sin 15 \times 6}{4.5}}

\mathbf{Sin \hat {CAB} = \dfrac{0.2588 \times 6}{4.5}}

\mathbf{Sin \hat {CAB} = 0.3451}

∠CAB = Sin⁻¹ (0.3451)

∠CAB = 20.19⁰

From the diagram attached;

  • assuming we have an imaginary position at the base of Ollie Standing point called point F when Ollie first activates the sensor;          

Then, we can say:

∠CBD = ∠GBF

∠GBF = (CAB + ACB)      

(because the exterior angles of a Δ is the sum of the two interior angles.

∠GBF = 15° + 20.19°

∠GBF = 35.19°

Using the trigonometric function for the tangent of an angle.

\mathbf{Tan \theta = \dfrac{GF}{BF}}

\mathbf{Tan \ 35.19  = \dfrac{1.8 \ m }{BF}}

\mathbf{BF  = \dfrac{1.8 \ m }{Tan \ 35.19}}

\mathbf{BF  = \dfrac{1.8 \ m }{0.7052}}

BF = 2.55 m

Finally, the distance of Ollie║FE║ from the entrance of his bouse is:

= 5 - 2.55 m

= 2.45 m

Therefore, we can conclude that Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.

Learn more about exterior angles here:

8 0
3 years ago
Find the value of "m" that gives infinitely many solutions ! PLEASE HELP!!
Gre4nikov [31]

Answer: 2x

Step-by-step explanation: 18+2(x-7)=4+M. First distribute 2 to (x-7), then you will be left with 18+2x-14=4+M. You can further simplify the left side of the equation by subtracting 14 from 18, now you are left with 2x+4=4+M. Subtract 4 from both sides to solve for M, 2x=M.

5 0
3 years ago
Read 2 more answers
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