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satela [25.4K]
2 years ago
13

Find the missing side of the triangle

Mathematics
1 answer:
Katena32 [7]2 years ago
7 0

\\ \sf\longmapsto sin\theta=\dfrac{Perpendicular}{Hypotenuse}

\\ \sf\longmapsto sin74=\dfrac{n}{40}

\\ \sf\longmapsto n=40sin74

\\ \sf\longmapsto n=35(0.96)

\\ \sf\longmapsto n=38.4

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400 meters of fencing . Twice as long as it is wide , what is the area
NNADVOKAT [17]

Answer:

The area is 13,3 squared meters

Step-by-step explanation:

The 400 meters of fencing is the perimeter of the area. We know that:

perimeter = 2 (length + width)

or

P = 2 (l+w)

We also know that the length is twice the width, hence:

l = 2w

Substituting this information in the perimeter equation:

P = 2 (2w + w)

P = 4w+2w

P = 6w

w = P/6

Now, the area is defined as:

A = l*w

Therefore,

A = 2*w*w

A = 2 * w^2

Putting the w =P/6 in the previous equation

A = 2 * (P/6)^2

A = 2 * P^2/36

A = P^2/12

And substituting the value of P and doing the math,

A = 13, 333 period 3 which we need to round to 13,3 which is the total number of significant digits given

6 0
3 years ago
What is the magnitude and direction of with tail and head points M(-3, -2) and N(4, 0)?
vfiekz [6]

Answer:

Step-by-step explanation:

difference of x-coordinates = 4-(-3) = 7

difference of y-coordinates = 0-(-2)  = 2

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tanθ = 2/7

θ = arctan(2/7) ≅ 15.9°

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3 0
3 years ago
What is 3.57 as a fraction
Ainat [17]
357/100
because .57 is the same as 57 hundriths which translates to 57/100. Now you have 3 and 57/100 and to make thing into an improper fraction you follow these steps.
1. mulitply the whole number (the number in front on the fraction) by the denominator (the lower part of the fraction). In our case, multiply 3 and 100. You get 300.
2. Add your answer to the numorator (the upper part on the fraction). 300 plus 57 equals 357.
3. Use your answer as the new numorator and keep the original denomanator.
Answer: 357/100
3 0
3 years ago
Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solv
ch4aika [34]
The answer is 24 MPG
8 0
3 years ago
Help please I don’t understand
ollegr [7]

Answer:

y = -1/10

Step-by-step explanation:

-2/5 + y = -1/2         First, make a common denominator for the fractions

-4/10 + y = -5/10  

+4/10         +4/10     Add 4/10 to both sides

y = -1/10

8 0
4 years ago
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