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TiliK225 [7]
3 years ago
15

Trigonometry

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and m\angle E=22^{\circ}

We need to determine the area of the triangle EFG

<u>Area of the triangle:</u>

The area of the triangle EFG can be determined using the formula,

\text {Area}=\frac{1}{2} fg \sin E

Substituting the values, we get,

\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}

Simplifying the values, we have,

\text {Area}=\frac{1}{2}(40)(0.37)

Multiplying, we get,

\text {Area}=\frac{14.8}{2}

Dividing, we get,

\text {Area}=7.4

Hence, the area of the triangle EFG is 7.4 square units.

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Earth travels about 66,600 miles per hour as it revolves around the Sun. How far does Earth travel in 15 seconds?
o-na [289]

Step-by-step explanation:

Miles travelled in 1h=66600

Miles travelled in 1 sec=66600/3600

=18.5miles

Miles travelled in 15 seconds =18.5×15

=<em><u>277.5miles</u></em>

4 0
3 years ago
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Which of the following represents a negative correlation?
babunello [35]

Answer:

The answer is letter B, The water level in a bathtub as it drains over time.

Step-by-step explanation:

It is best to learn the meaning of <u>"negative correlation"</u> first.

Correlation- In Mathematics, "correlation" means a measure of the relationship between two variables.

<em>Positive Correlation-  </em>when the values of the variables increase together.

<em>Negative Correlation- </em>when one value of a variable increases while the other variable's value decreases.

*The situation above is asking for a negative correlation, therefore the answer is letter B (The water level in a bathtub as it drains over time).

The variables are: <u>water level and draining time</u>

As the draining time increases, the water level in the bathtub decreases. This is clearly an example of a negative correlation.

3 0
3 years ago
What is the same as 2% of 90
sp2606 [1]

Answer:

1.8

Step-by-step explanation:

(2x90):100

180:100 = 1.8

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Please help!!!!!! 13 points
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Step-by-step explanation:

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3 years ago
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Which linear equation can be derived from this proportion?
inn [45]

9514 1404 393

Answer:

  D.  2x - 6 = 5x - 45

Step-by-step explanation:

To make the linear equation, we can multiply the given equation by 5(x-3).

  \dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}

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3 years ago
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