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lana66690 [7]
2 years ago
8

Find three consecutive even integers such that the largest is three times the smallest.

Mathematics
1 answer:
Naddik [55]2 years ago
6 0
X+x+2+x+4

we want x+4=3(x)

x+4=3x
2x=4
x=2

the integers are 2,4,6
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Answer:

Text me back for an answer.

Step-by-step explanation:

Make sure you text back.

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2 years ago
A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the clif
LUCKY_DIMON [66]

Answer:

The of depression between the cliff and the boat is 48.74 degrees.

Step-by-step explanation:

We have,

Height of the cliff is 200 foot

Distance of boat from the cliff is 175 feet

It is required to find the angle of depression between the cliff and the boat.

Here, 200 foot is perpendicular distance and 175 is base.

Using trigonometry :

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{200}{175}\\\\\theta=\tan^{-1}(1.14)\\\\\theta=48.74^{\circ}

So, the of depression between the cliff and the boat is 48.74 degrees.

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2 years ago
Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
sergejj [24]

Answer: Answer is 3

BC        6

------ = ------

XY         3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.  

A B Over X Y = 4 Over 2

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A C Over X Z = 52 Over 13  

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1.   Y Z Over B C = 6 Over 3  

2.  ∠B ≅ ∠Y

3.  B C Over Y Z = 6 Over 3  

4.  ∠B ≅ ∠Z

5 0
2 years ago
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Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option
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Answer:

The best option for him would be a real interest rate of 5%.

Step-by-step explanation:

The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.

On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.

Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.

7 0
2 years ago
What are the domain and range of f (x) = (one-fifth) Superscript x?
natka813 [3]

Answer:

The domain of the function is all real numbers (-\infty,\infty) and the range is all positive real numbers (0,\infty)

Step-by-step explanation:

We have the following function f(x)=(\frac{1}{5} )^x and we want to find the domain and the range.

The function we have is an example of an exponential function f(x)=b^x with b > 0 and b ≠ 1. This types of functions in general have the following properties:

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The domain of a function is the specific set of values that the independent variable in a function can take on.

When determining domain it is more convenient to determine where the function would not exist.

This function has no undefined points nor domain constraints. Therefore the domain is (-\infty,\infty).

The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is (0,\infty).

We can check our results with the graph of the function.

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2 years ago
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