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2 years ago

Find the measure of the indicated angle to the nearest degree

Mathematics

1 answer:

gogolik [260]2 years ago

3 0

Answer:

21.8014094864

Step-by-step explanation:

tan(x)= 4/10

=0.4

inverse tan(0.4)

21.8014094864

You might be interested in

Find the value of x in the figure below

AlexFokin [52]

Answer:

x = 29

Step-by-step explanation:

I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.

Hope it helps and is correct!

6 0

2 years ago

Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)

Olegator [25]

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

$A=\left(\dfrac{b_1+b_2}{2}\right)h$

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

$b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13$

Putting it altogether:

$A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44$

So the area of our trapezoid is 44.

4 0

3 years ago

The perimeter of the square piece of gold is 12 milllimeter. how long is each side

Firdavs [7]

48 mm long

Since a square has all equal sides, it will be 12mm for all sides

Perimeter = L (Length) + W (Width) + L + W
(In this case since it’s a 2D shape)

12 + 12 + 12 + 12 = 48

Hope this helped :)

4 0

2 years ago

The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har

kondor19780726 [428]

Answer:

The Local Library sold 31 hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

$x+y=89 \ \ \ \ \ equation \ 1$

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

$2x+5y=271 \ \ \ \ equation \ 2$