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Eva8 [605]
3 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

4/5

Step-by-step explanation:

The cosine of the angle is found as the ratio of adjacent to the hypotenuse.

To find it first find the sin 45 = √8/ x. This is equal to 4.

sin 45 = √8/ x

x = √8/ sin 45

x = 4

This means the triangle FHE has side lengths 3, 4,  and 5.

The cosine of FHE will be FH / HE. This is 4/5.

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Mrs Smith is completing a mathematics problem. She knows when 6 is added to four times a number, the result is 50. What would be
Lesechka [4]

EXPLANATION:

-To formulate an equation, you must first know what data the exercise gives us to locate them correctly.

data:

-6 that must be added to a number.

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Now with these data we formulate the equation:

\begin{gathered} \text{Equation:} \\ 6+4x=50;\text{  } \end{gathered}

if we solve the equation we have:

\begin{gathered} 6\text{ }+4x=50 \\ 4x=50-6 \\ 4x=44 \\ x=\frac{44}{4} \\ x=-\frac{22}{2} \\ x=\text{ }-11 \end{gathered}

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1 year ago
I don't know how to get X
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x=10

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7 0
3 years ago
Read 2 more answers
Which is equivalent to the following expression? (2x^2+4xy-y^2)+(x^2+3xy-y^2)
masya89 [10]

annswer:

−

80


Explanation:

2

(

2

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2

+

[

3

(

2

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(

−

4

)

]

−

4

(

−

4

)

2


2

(

4

)

+

[

−

24

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(

16

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80


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3 0
3 years ago
Read 2 more answers
What is the radius of a circle in which a 30° arc is 2π inches long?
son4ous [18]

First of all, let's recall that the full circumference is

C = 2\pi r

Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have

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Since we know the arc length, we can build and solve the following equation:

\cfrac{\pi r}{6}  = 2\pi \iff \cfrac{r}{6} = 2 \iff r = 12

8 0
4 years ago
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