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Vlad [161]
3 years ago
9

The sum of 5 consecutive numbers is 135

Mathematics
1 answer:
enot [183]3 years ago
6 0
27+27+27+27+27 is 135
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A boat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. To the near
stepan [7]
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse

That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse

tan(25) = 89/x
x = 89/tan(25)
x = 190.86

after rounding, the answer is D, 191 feet
4 0
3 years ago
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If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
NemiM [27]

Cosine is \frac{hypotenuse}{adjacent}.

Apply the equation:

sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2}  = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

5 0
2 years ago
What is 5+5= and 5×2​
saveliy_v [14]

Answer:

5+5=10

5x2=10

Together, they equal 20.

Step-by-step explanation:

7 0
3 years ago
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Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4
Yuliya22 [10]

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

8 0
3 years ago
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According to the Empirical Rule, what percentage of a normal population falls between 1 standard deviations left of the mean and
svlad2 [7]

Answer:

68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

Step-by-step explanation:

6 0
3 years ago
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