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inna [77]
4 years ago
5

Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in

terior angle
Mathematics
1 answer:
zepelin [54]4 years ago
6 0

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

sum = 180° × 3 = 540°

To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°


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Teo earns 47.25$ in 7 h of work at Beck’s Burgers. How much will he earn in 12 hours?
goldenfox [79]

Answer:

He will earn <u>$81</u> in 12 hours.

Step-by-step explanation:

Given:

Teo earns 47.25$ in 7 hours of work at Beck’s Burgers.

Now, to find the money he will earn in 12 hours.

As, given Teo earns 47.25$ in 7 hours of work.

So, to get the money he will earn in 12 hours we solve by using unitary method:

If Teo earns in 7 hours $47.25.

Then, in 1 hour he earns = \frac{47.25}{7}

Thus, in 12 hours he will earn = \frac{47.25}{7} \times 12

                                                 = 6.75\times 12

                                                 =  \$81.

Therefore, he will earn $81 in 12 hours.  

7 0
4 years ago
How do I delete this
elena-s [515]

Answer:

I hope this helps!

Step-by-step explanation:

Have a great rest of your day!

5 0
3 years ago
In the United States, 36 percent of the people have a blood type that is A positive. From a random sample of 150 people from Nor
djverab [1.8K]

Answer:

The standard deviation used in the test statistic is 0.04.

Step-by-step explanation:

A single proportion <em>z</em>-test can be used to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.

The proportion of people in Norway with a blood type of A positive is 36% or 0.36.

The hypothesis can be defined as:

<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is 36%, i.e. <em>p</em> = 0.36.

<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from 36%, i.e. <em>p</em> ≠ 0.36.

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

The information provided is:

<em>p</em> = 0.36

<em>n</em>  = 150

Compute the standard deviation used in the test statistic as follows:

\sigma=\sqrt{\frac{p(1-p)}{n}}

   =\sqrt{\frac{0.36\times (1-0.36)}{150}}

   =\sqrt{0.001536}\\=0.03919184\\\approx 0.04

Thus, the standard deviation used in the test statistic is 0.04.

5 0
3 years ago
What is 2+2*2 ? smart people out there HELP plz!
Alecsey [184]

Answer:

the answer is 8

Step-by-step explanation:

hope this helps!

8 0
3 years ago
a caterer received an order to prepare 120 servings of salad for a banquet. Each serving will weigh 4 ounces. so far the caterer
Ugo [173]
To easier digest this question, we can multiply the 120 servings by 4 ounces to make it into a common unit of measurement. This way, we can compare ounces with ounces instead of ounces to servings.
We then have 480 servings, and the poor caterer only has 60 ounces. We can put that into a fraction, 60/480. From here, things get slightly easier. All we have to do is make it into a fraction we can digest, which would be 1/8. We can turn that fraction into a decimal by simply dividing. We have 0.125.
Since we are changing from a decimal into a percent, we have to move the decimal point two places to the right. We have out final answer of 12.5%.
6 0
3 years ago
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