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eduard
3 years ago
6

Find x in the given figure if m∠AOC = 124°.

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

A) 8

Step-by-step explanation:

Add angles AOB and BOC to get angle AOC.

Since we know the value of AOC is 124 and AOB+BOC=AO

Then (8x+25)+(6x-13)=124.

Combine like terms to get 14x+12= 124.

Solve for x by subtracting 12 from 124, then divide the answer by 14.

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when the temperature is 68 F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer
Digiron [165]

Hello!

Since we are given that the speed of sound in the air travels about 343 meters per second, we can multiply 343 meters per second by 5, and then we convert the meters to kilometers.

343 · 5 = 1715 meters per 5 seconds.

1000 meters are equal to 1 kilometer. So, we can divide 1715 by 1000 to convert meters to kilometers.

1715 / 1000 = 1.715

Therefore, the speed of sound in air is about 1.715 kilometers per 5 seconds.

6 0
2 years ago
Read 2 more answers
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0
2 years ago
Factoring polynominaly
Aliun [14]

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

7 0
3 years ago
A recipe for 12 waffles calls for 112 cups of milk, 214 cups of flour, and 113 cups of other ingredients. 4 pts each/16 pts tota
Liono4ka [1.6K]

This question was not written properly

Complete Question

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.

Answer:

A 5 1/12 cups of ingredients

B 10 1/6 cups of ingredients

C The total amount of ingredients for 12 waffles would increase from the original recipe.

D 7.56 or 7 5/9 recipes

Step-by-step explanation:

A... What is the total number of cups of ingredients needed for 12 waffles?...

The total number of cups of ingredients needed =

1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients

(1 + 2 + 1) + (1/2 + 1/4 +1/3)

4 + ( 6 + 3 + 4/12)

4 + (13/12)

4 + (1 1/12)

= 5 1/12 cups of ingredients

B... What is the total number of cups of ingredients needed for 36 waffles? ....

If 12 waffles requires = 5 1/12 cups of ingredients

36 waffles =

Cross Multiply

= (36 waffles × 5 1 /12)/12 waffles

= 10 1/6 cups of ingredients

C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?

Justify your thinking...

Original recipe.

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients

Current recipe

1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients

1 + 2 + 2 + (1/4)

5 1/4 cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups

5 1/4 - 5 1/12 = 1/6

D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...

The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles

Hence:

2 1/4 cups of flour = 12 waffles

17 cups =

17 × 12/2 1/4

= 204÷ 2 1/4

= 204 ÷ 9/4

= 204 × 4/9

= 90.666666667 or 90 2/3 Waffles

If = 12 waffles = 1 recipe

90 2/3 waffles =

7.56 or 7 5/9 recipes

6 0
3 years ago
How long is the postar
fiasKO [112]

Well, since the area is 504. ANd the width is 14.

You do 504 divided by 14. Which is 36.


The poster is 36 centimeters.

The equation is 504/14=x

x=36

7 0
2 years ago
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