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amm1812
3 years ago
14

What’s the missing side round to the nearest tenth?

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Sine of angle = opposite ÷ hypotenuse

sin 20 = \frac{14}{x}

x = \frac{14}{sin 20}

x = 40.9 (rounded up to nearest tenth)

You might be interested in
Find the sum of the sequence. 42+43+44+45+...+107
8090 [49]

Answer:

4917

Step-by-step explanation:

<u>Given sequence: </u>

  • 42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

<u>Number of terms:</u>

  • 107 - 42 + 1 = 66

<u>Sum of the terms:</u>

  • Sₙ= 1/2*n*(a₁+aₙ)
  • Sₙ= 1/2*66*(42+107) =  4917

<u>Answer is:</u> 4917

8 0
3 years ago
Compare your response to the sample response above. what did your explanation include? the conclusion that the work was incorrec
Alenkasestr [34]

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

<h3>What is the variables  about?</h3>

Note that:

y=-8x+4

y-4=-8x

(y-4)/-8=x

Since the independent variable x is known, one can switch the variable labels and thus it will be:

y=(x-4)/-8

f^-1(x)=(x-4)/-8    

This can be written again as:

f^-1(x)=(4-x)/8  :P

Thus one can say  No, as he forgot to switch the variable labels after solving for the independent variable.

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

See the first part of the question below

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Learn more about variable from

brainly.com/question/4063302

#SPJ1

6 0
2 years ago
1. <br> Simplify: 5 + p &gt; 3<br> p -2<br> p &gt; 8
OlgaM077 [116]

Answer:

p > -2.

Step-by-step explanation:

5 + p > 3

5 - 5 + p > 3 - 5

p > -2.

7 0
3 years ago
Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these
avanturin [10]

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, \hat p=0.65.

-We calculate the confidence interval using this value at 95% confidence level:

CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

6 0
3 years ago
2d + 1 = 9<br><br> so d = what
weeeeeb [17]

Answer:

d is 4 :))

hope that helped

8 0
3 years ago
Read 2 more answers
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