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Dmitry [639]
3 years ago
8

Please help ASAP ! Find the sine ratio of angle (-)

Mathematics
1 answer:
Tresset [83]3 years ago
7 0
Answer:
sin(-)=perpendicular/hypotenuse
Sin(-)=AB/BC
Because AB is the perpendicular with reference to angle (-) and BC the hypotenuse since the right angle is facing towards it.Then,
Sin(-)=4/5
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Solve the inequality for x. Show each step of the solution.10x > 2(8x – 3) – 18
Luden [163]

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

6 0
1 year ago
You and your friends want to rent a limo on prom night.
ikadub [295]
Hey there!

You would be able to rent the limo for 4 hours plus the booking fee.

75 x 4 = 300

300 + 50 = 350

350 = 350

Hope this helps you! :)

Hugs!
- Nicole
4 0
3 years ago
Read 2 more answers
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round
Alex777 [14]

To get percent error you take actual-predicted and divide by the actual then multiply by 100 to get the percent.

65-50=15

15/60=0.25

0.25 times 100 =25%

7 0
2 years ago
Read 2 more answers
The GCF of 18 and 27 is _______.
Gnoma [55]

Answer:

9

Step-by-step explanation:

The factors of 18 are : 1, 2, 3, 6, 9, 18

The factors of 27 are : 1, 3, 9, 27

The common factors are : 1, 3, 9

The gcf is 9

3 0
3 years ago
Read 2 more answers
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