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Bas_tet [7]
3 years ago
5

What is the value of y?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0
In a triangle all of the angles always add up to 180, so let's set up an equation.

79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64

The value of y is 64.

Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)
You might be interested in
If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13
Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0
2 years ago
A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters s
DanielleElmas [232]

Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

8 0
3 years ago
Given a circle with a radius of 2, which is the length of an arc measuring 75 degrees?
WARRIOR [948]
\bf \textit{arc's length}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
---------\\
r=2\\
\theta=75
\end{cases}\implies s=\cfrac{2\cdot 75\cdot \pi }{180}
3 0
3 years ago
One line segment is 5 emmore than 4 times the
ollegr [7]
Let the length of the 1st line segment = x

then the length of the second line segment = 4x + 5

The difference in their lengths = 35

so 4x + 5 - x = 35 ... [longer - shorter = 35]

3x = 30

x = 10

so the shorter (1st) line segment is 10 cm long

and the longer (2nd) line segment is 4 * 10 + 5 = 45 cm long
7 0
3 years ago
50 POINTS EACH
Andrews [41]

Since s and t are complimentary, that means ∠s + ∠t = 90

From the picture, we also know that ∠t + ∠LGM = 90

Set them equal to each other:

∠s + ∠t = ∠t + ∠LGM, solve:

∠s = ∠LGM

Now using the fact that tangent = opposite/adjacent:

tan (∠s) = \frac{y}{h}

tan (∠s) = \frac{h}{x}

Set them equal to each other to get:

\frac{y}{h} = \frac{h}{x}

Solve:

h^{2}= xy\\h = \sqrt{xy}

Part B:

Using tan (∠s) = \frac{y}{h}

We get: h = \frac{3}{tan38} = 3.84 meters

Hope that helps!

3 0
2 years ago
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