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2 years ago

8

If x = 10, y = 5, and z = 11, what is the sine ratio for g°?

1 answer:

salantis [7]2 years ago

8 0

Answer:

$\frac{10}{11}$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

$sin(g^o)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(g^o)=\frac{x}{z}$

$sin(g^o)=\frac{10}{11}$

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Graph the line with slope −1/2 and y-intercept −5.

Allushta [10]

First, we can write the equation of the line using the information provided:

$\begin{gathered} y=mx+b \\ where: \\ m=slope=-\frac{1}{2} \\ b=y-intercept=-5 \\ so: \\ y=-\frac{1}{2}x-5 \end{gathered}$

Now, we can create a table:

Finally, we can graph the line:

5 0

11 months ago

I think of a number multiply by three add four I get 22. Using the statement above form an equation use the letter x for the unk

bogdanovich [222]

Answer:

x=6

Step-by-step explanation:

(x*3)+4=22

Subtracting 4 from both sides:

(x*3)=18

Dividing both sides by 3:

x=6

Hope this helps!

4 0

2 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

2 years ago

What is 16 1/10 - 10 7/10

Semmy [17]

16 1/10- 10 7/10= 5 4/10

4 0

2 years ago

Read 2 more answers

Bens score in a game is x points and Olives score is three times that of ben. Their combined point total is -48 points.

andrew-mc [135]

B. The equation is 4x = -48. Ben’s point total is -12.

6 0

2 years ago