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Savatey [412]
3 years ago
8

I just need help with problem 14 and 15

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0
14. Perimeter of square is 4(x+5)=4x+20.
Perimeter of triangle is 9x.
So 9x=4x+20, 5x=20, x=4.
Sides of the triangle are 3x=12 each.
15. Multiply through by 3: 3V=Bh, divide through by h: 3V/h=B, so B=3V/h.
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Myras stamp collection consisted of 120 stamps in October by the following March her collection had grown to 138 stamps by how m
Karolina [17]
The answer is 18. Just take the number that comes later and simply subtract from the original number. EXAMPLE- 138-120=18. Hope this helps.
8 0
3 years ago
Read 2 more answers
The supplement of an angle is three times the measure of the angle.
stira [4]

Answer: The angle equals  45 ∘  and the supplement is  135 ∘

Explanation:

Since the supplement is three times the angle, we can say    s  =  3 a

Since we know the supplement is  

180 − a , we can plug that in.

180 - a = 3a

180  = 4 a  (add  a  to both sides)

45  =  a  (divide both sides by  4)

Since we know the angle now, all we have to do is multiply it times  3  to find the supplement.

45  ×  3  =  135

4 0
3 years ago
The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp
Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

The standard deviation of the sample is the same as the standard error of the mean. So

SE_{M} = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\sigma = 0.35, n = 20

So

SE_{M} = \frac{\sigma}{\sqrt{n}}

SE_{M} = \frac{0.35}{\sqrt{20}}

SE_{M} = 0.0783

The standard error of the mean is 0.0783.

7 0
3 years ago
A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain
mel-nik [20]
<span>No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21. 24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441; So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.</span>
8 0
3 years ago
In the diagram, point X is the centroid. If<br> EX=8, what is the length of XC ?
Phoenix [80]

Answer:

16

Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

7 0
3 years ago
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