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Anastasy [175]
3 years ago
10

Y 45° 30° N 17 I need help pls

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H (Sine=\frac{opposite}{hypotenuse} )

C=A/H (Cosine=\frac{adjacent}{hypotenuse} )

T=O/A (Tangent =\frac{opposite}{adjacent} )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

\frac{17}{tan(30)} = 29.44486372...

x=29.4

Try to do <em>y</em> on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

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Can someone please help me with these? I'm giving 100 points so please.
Cerrena [4.2K]

Answer:

1. -2\frac{9}{12}

2. 10\frac{1}{8}

3. 3

4. -1 > x

Step-by-step explanation:

1.

-\frac{33}{12}  \\12 * 2 = 24\\33 - 24 = 9\\-2\frac{9}{12}

2.

10 \frac{1}{8} / \frac{3}{4} = 13\frac{1}{2} \\13\frac{1}{2} + \frac{1}{2} = 14

3. All share the factor of 3

4. Open circle is used for < (less than) or > (greater than). Shade to the right for > or ≥.

I hope this helps! May I please have brainliest? :)

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What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?
melamori03 [73]

Answer:

2 units

Step-by-step explanation:

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8 0
3 years ago
An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
For a process, the average range for all samples was 5 and the process average was 25. If the sample size was 10, calculate UCL
alexira [117]

Answer:

8.885

Step-by-step explanation:

Given that :

Sample size, n = 10

The average range, Rbar for all samples = 5

The upper control limit, UCL for the R-chart is :

UCL L= D4Rbar

From the control chart constant table, D4 = 1.777

Hence,

UCL = 1.777 * 5

UCL = 8.885

The UCL for the R-chart is 8.885

7 0
3 years ago
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