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3 years ago

Help me please, im struggling

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

6 0

Answer:

8.57

Step-by-step explanation:

Hope it helps.......

Elena L [17]3 years ago

4 0

Answer:

x = 8.57

Step-by-step explanation:

Hi! So first of all, I attached an image that has my best visual explanation of how the 2 triangles overlap but are indeed two separate triangles!

Since the question states that the triangles are similar, that basically means in simple terms that their sides are proportional or, are all based on the same fraction (proportion)! (An example of this is the triangles with the sides that correlate [in this problem, 11 to 7] would be 1 to 2, 3 to 6, and 4 to 8)

Now, we have to figure out which of our sides correspond, the first one being 11 to 7, and the second one being x + 15 (which I got by adding the small portion I have from the big triangle, and the portion I have from the smaller triangle together because the small triangle is inside of the big one!) to 15.

Next, I have to find out what x is based on the fraction (proportion) I already have which is 11 to 7 or $\frac{11}{7}$ . Then, I compare this by setting this proportion equal to are other proportion with x in it!

$\frac{11}{7} = \frac{x+15}{15}$

Finally, I have to get x by itself to find what it is equal to, which you can see in the image! (If you have a number in the denominator and a variable in the numerator, and a regular number or fraction without a variable on the other side, you can just multiply both sides by the number in the denominator to cancel out the bottom of said variable fraction!)

So! X is equal to 8.57!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

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3 years ago

There are a total of 96 children in Years 4, 5 and 6

BaLLatris [955]

Answer: 20 children

Step-by-step explanation:

Given

Year 4: 11 cannot swim

Year 5: 21 can swim

Year 6: 18 of 30 can swim

Total 96 children

Total 37 cannot swim

First Step: find the number of people from year 5 who cannot swim

There are 30-18=12 people who cannot swim in year 6
There are 11 who cannot swim in year 4
Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5

Second Step: find the number of children in year 5

There are 21 children who can swim
There are 14 children who cannot swim
21+14=35 children

Third Step: find the number of children in year 4 who can swim

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There are 35 children in year 5
There are 11 children in year 4 who cannot swim
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Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago

Write down three integers, all less than 25 whose range is 10 and mean is 13

Mashutka [201]

Answer:

Step-by-step explanation:

we have the mean=13

(x+y+z)/3=13

x+y+z=39

range=highest value-lowest value=10

lets say x= highest value

y=lowest value

x-y=10

x=10+y

the numbers are 9,11,19

19-9=10 range

sum is 39

5 0

3 years ago

Please help with the following question:

Artist 52 [7]

Using it's concept, the probabilities are given as follows:

a) Type A die and orange: 1/10 = 0.1.

b) Blue: 23/30

c) Type B, if blue: 8/23.

<h3>What is a probability?</h3>

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

For item a, the probability that a type A dice is chosen is:

3/5.

As there are 5 dices, 3 of type A and 2 of type B.

The probability that a type A dice comes up orange is:

1/6.

As it has six faces, one of which is orange.

Then the probability of an orange type A dice being chosen is:

3/5 x 1/6 = 1/10 = 0.1.

For item b, the probability of blue is divided as follows:

5/6 of 3/5 -> type A.

4/6 of 2/5 -> type B.

Hence the probability of a blue dice is:

p = 5/6 x 3/5 + 4/6 x 2/5 = 23/30

For item c, we apply the conditional probability, hence the probability is given as follows:

p = (4/6 x 2/5)/(23/30) = (8/30)/(23/30) = 8/23.

Dividing the probabilities of type B and blue by the probability of blue.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0

1 year ago