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2 years ago

Someone please explain this it’s confusing me.

Mathematics

1 answer:

Nesterboy [21]2 years ago

5 0

Answer:

x = 4 radical 3 / 3

Step-by-step explanation:

this is a 30-60-90 triangle

the side across from the angle 30 is L

the side across from the angle 60 is L√3

the side across from the angle 90 is 2L

we are given the side across from 60⁰ so we know that:

2 = L√3

we want to solve for L, so we must divide both sides by √3 (radical three)

2/√3 = L√3/√3

you would get 2/ √3 = L, because the radical three cancels out on the L side.

but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3

2 times √3 and √3 times √3

you get 2√3/√9

radical nine can simplify

2radical3/3 or 2√3/3

we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L

multiply the number infront of the radical by two and get

4√3/3

x=4 radical 3 divided by 3

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A bulletin board measuring 28 dm long was divided among three subject areas in the ratio 2:2:3. How much space was alothed for e

Sphinxa [80]

Answer: Space was alloted for each subject is 8 dm, 8 dm, 12 dm.

Explanation:

Since we have given the length of bulletin board =28 dm

Let the share of three subject areas be 2x,2x,3x

According to question,

$2x+2x+3x=28\\7x=28\\x=\frac{28}{7}\\x=4dm$

so x=4 dm

Now,

Space was alloted for each subject is given as below:

First subject = $2x=2\times 4=8 dm$

Second subject = $2x=2\times 4=8 dm$

Third subject = $3x=3\times 4=12 dm$

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3 years ago

A machine produces defective parts with three different probabilities depending on its state of repair. If the machine is in goo

Zina [86]

Answer:

Step-by-step explanation:

Given that a machine produces defective parts with three different probabilities depending on its state of repair.

condition Good order Wearing down Needs main Total

Prob 0.8 0.1 0.1 1

Defective 0.02 0.1 0.3

Joint prob 0.016 0.01 0.03 0.056

a) 0.016

b) total = 0.056

c) If not defective from needs maintenance

Prob for not defective = $0.8*0.98+0.1*0.9+0.1*0.7\\=0.784+0.09+0.07\\=0.944$

From machine that needs maintenance = 0.07

So reqd prob = $\frac{0.07}{0.944} \\=0.0741$

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3 years ago

5<b-3. whats the answer????

9966 [12]

Answer:

5<b-3

Add 3 on both sides

8<b

The variable will always go on the left side of the equation. To flip the equation, you must also flip the less than sign to a greater than sign.

b>8

Hope I helped!

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3 years ago

Read 2 more answers

Find the sum of the first one hundred positive integers. see fig 6.26

nignag [31]

Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
$s = \frac{n(n + 1)}{2}$
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.

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3 years ago

Which inequality matches the given situation if w represents weight in pounds:Baby tigers can be no larger than 4 pounds.

ozzi

Given:

w be the weight in pounds of a baby tigers.

To find:

The inequality if baby tigers can be no larger than 4 pounds.

Solution:

Baby tigers can be no larger than 4 pounds. It mean weight of baby tigers cannot be greater than 4. In other words, the weight of the baby tigers must be less than or equal to 4.

Let w represents weight in pounds and the weight of the baby tigers must be less than or equal to 4. So,

$w\leq 4$

Therefore, the required inequality is $w\leq 4$ .

4 0

3 years ago