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3 years ago

What is the rational number equivalent to 3.12 repeated

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

3.12...... equal 3 12/99 or 3 4/33. As a result, the final answer will be 103/33. Hope it help!

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Trigonometry word problems

astraxan [27]

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.

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3 years ago

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

2 years ago

For what value of x will the line passing through the following pairs of points be

Romashka [77]

The answer is g(x)= 5x- 19

5 0

2 years ago

Marisol rode her bicycle each day for five days. estimate how far she biked in all. round each number to the nearest whole numbe

o-na [289]

Marisol biked a total of 71 miles. On the other hand, she biked about 10 more miles on Wednesday than on Thursday.

<h3>How to round numbers?</h3>

The general rule is to move the decimal number to its nearest tenth. For example, 5.6 should be rounded as 6 but 5.1 should be rounded as 5.

Now, let's round the distance covered by Marisol each day:

Monday: 12.3 = 12
Tuesday: 14.1 = 14
Wednesday: 17.7= 18
Thursday: 11.8 = 12
Friday: 15.2 = 15

<h3>What distance did Marisol covered?</h3>

To know this just add the distance every day:

12 + 14 +18 + 12 + 15 = 71 miles

<h3>How much more did she bike on Wednesday than on Thursday?</h3>

Distance covered on Wednesday - distance covered on Thursday

18 - 12 = 6 miles

Note: This question is incomplete; here is the missing information:

Monday 12.3
Tuesday 14.1
Wednesday 17.7
Thursday 11.8
Friday 15.2

Learn more about addition in: brainly.com/question/17407789

#SPJ4

8 0

1 year ago

If it takes 5 men 20hours to brick a house, how long will it take 2 men to do the job if they work at the same rate?

Elden [556K]

To find the contribution of each man (this is a sexist problem as women could work as well, but that’s besides the point) take 5/2 and then multiply that value by 20 and you’ll find it takes 50 hours for two men to do it.

Answer: 50 hours

4 0

4 years ago

Read 2 more answers