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ryzh [129]
2 years ago
6

In a sample of 60 diners at a restaurant, 12 had ordered an appetizer. If the restaurant serves 800 diners each day, how many ar

e likely to order an appetizer?
Mathematics
2 answers:
ZanzabumX [31]2 years ago
7 0
There are 160 people who are likely to order an appetizer.

In order to find this, you first divide 60 by 12 to get 5. This means 1 out of every 5 people buys an appetizer, so to find how many out of 800 buy an appetizer, you divide 800 by 5. Thus getting 160 as an answer.

I hope this helps!
san4es73 [151]2 years ago
5 0
If im correct i think it should be 160 because i divided 60 by 12 and got 5 the divided 800 by 5 and got 160.
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Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)
wolverine [178]

Answer:

35.68°

Step-by-step explanation:

In the picture attached, the triangle is shown.

From sine definition:

sin(y) = opposite/hypotenuse

The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:

sin(y) = 7/12

y = arcsin(7/12)

y = 35.68°

4 0
2 years ago
Directions : Factor each of the following Differences of two squares and write your answer together with solution​
N76 [4]

\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf\left(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{2}. The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

4 0
3 years ago
Read 2 more answers
PLZZZ HURRY!!!!!
klasskru [66]

Answer:

$360 I think

Step-by-step explanation:

240 <em>divided</em> by 2/3 = 360

I hope this helps, sorry if it isn't the right answer

4 0
3 years ago
Read 2 more answers
Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
tangare [24]

9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

__

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

__

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

  c = √(a^2 +b^2 -2ab·cos(C))

  c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

  c = √13 . . . . . length of the side opposite the 60° angle

5 0
3 years ago
What is 52 divided by 8 incluing remainder?
joja [24]
8*6=48.  8*7=56.  So the highest multiplication you can go without exceeding the value of 52 is 8*6.  You then need to subtract 52 by 48 to find the remainder.  52-48=4.  So the answer would be 48 remainder 4
8 0
2 years ago
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