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3 years ago

HELP IN NEED!

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

$AB=12\sqrt{3}\ cm$

Step-by-step explanation:

If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

$AO=2BO=2\cdot 12=24\ cm.$

By the Pythagorean theorem,

$AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.$

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3 years ago

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split

Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5$

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

brainly.com/question/369266

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2 years ago

A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below

frozen [14]

We have the following table:

Round Number of Strokes Above or Below 72

1 -5

2 +6

3 -2

4 -4

5 +5

So, the expression that represents the total number of strokes is:

72 + (Number of strokes Above or below 72)

Therefore, for every round we get:

Round Number of Strokes Above or Below 72 Total number of strokes

1 -5 72 - 5 = 67

2 +6 72 + 6 = 78

3 -2 72 - 2 = 70

4 -4 72 - 4 = 68

5 +5 72 + 5 = 77

The total number of strokes is:

67 + 78 + 70 + 68 + 77 = 360

Additionally, the average is the total number of strokes divided by the number of rounds, so it is equal to:

$\frac{360}{5}=72$

Answer: Total: 360 Strokes

Average: 72 Strokes

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1 year ago

Mr. Elmore's favorite candy is skittles and his favorite flavor combination is lemon & lime. He has a jar of skittles with

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Answer:

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3 years ago

Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female ru

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Answer: 140 female runners

Step-by-step explanation:

First find out the number of runners:

= 42% * 10,000

= 4,200 runners

Then find out the number of female runners:

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= 1,400 female runners

Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.

= 10% * 1,400

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