Ask question

Ask question

All categories

3 years ago

10

The hypotenuse of a right triangle measures 10 inches and the side opposite to <0 one of the non right angles is 5 inches lon

g
The measure of <0 is
30
45
60
90
?

1 answer:

AfilCa [17]3 years ago

5 0

Sin = Opposite/ Hypotenuse
Sin (theta)= 5/10
Sin^-1(5/10)=30
theta=30

You might be interested in

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0

3 years ago

What’s the answer for part A?

jeka57 [31]

The answer is -30 u multiply-3 3/4 by eight because -3 3/4 is one minute and the question is asking for eight minutes

4 0

3 years ago

A rectangle is 8 feet long.its width is represented by Seven plus x feet what expression

babunello [35]

Hi there! The answer is 56 + 8x square feet

The length of a rectangle is 8 feet.
The width of that rectangle is 7 + x feet.

We can find the area of the rectangle by using the formula A = L x W
(Area = Length x Width)

Filling in this formula gives us:
A = 8 (7 + x) = 56 + 8x square feet

3 0

3 years ago

A piece of ribbon is 12/15m long. A piece of 4/15 m is cut from it. What is the fraction

nignag [31]

Answer:

8/15

Step-by-step explanation:

6 0

2 years ago

The base of a triangle is twice the height of the triangle.

Andreas93 [3]

Answer:

<h3>4cm</h3>

Step-by-step explanation:

$area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\$

6 0

3 years ago