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Studentka2010 [4]
2 years ago
14

If the volume of a cube is 125 cubic meters, what is the length of each arm?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
7 0

Answer:

5 metres.

Step-by-step explanation:

The volume is the length of each edge cubed,

so x^3 = 125    where x is that length.

x = ∛125

= 5.

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Given △ABC. m∠A>m∠B>m∠C. Perimeter=30. Which side of △ABC may have length 7?
lisabon 2012 [21]

<u>Solution-</u>

As given in △ABC,

m\angle A>m\angle B>m\angle C

As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e

\sin A>\sin B>\sin C

According to the sine law,

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.

\Rightarrow a>b>c

Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.

Case-1. Length of a is 7

As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.

Case-2. Length of b is 7

As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.

Case-3. Length of c is 7

As this is the last case, this must be true.

Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.


5 0
3 years ago
On Monday, Anya read 11 pages of a book in 30 minutes. On Tuesday, she read 18 pages in 45 minutes. Did Anya's reading speed inc
Genrish500 [490]
Yes 
11 diveded by 30 equals 61%
30 divided by 45 equals 66%

the average of 61% and 66% is more then 50%

8 0
3 years ago
May someone help me with this quick math problem
vekshin1

Hello,

The correct answer is D) 2

Median: To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)

The median number of trips taken to the food store in 1 week is 2.

4 - 2 = 2

Hope this helps!!!! :)



8 0
3 years ago
Lillian has $80 in a savings account. The interest rate is 10%, compounded annually.
arlik [135]
She will have 96.8 dollars in the saving account so she earned 16.8 dollars in interest
If this answered help you then please consider marking it as brainliest to help me level up to expert
5 0
2 years ago
20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x
Rudik [331]

Answer:

y=13(4)^x

Step-by-step explanation:

We have the exponential function of the form:

y=ab^x

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

13=ab^0

Since anything to the zeroth power is 1, this yields:

a=13

So, we determined that the value of a is 13.

So, our function is now:

y=13b^x

We will need to determine b. We know that y equals 832 when x is 3. Hence:

832=13(b)^3

Divide both sides by 13:

b^3=64

Take the cube root of both sides:

b=4

Hence, our b value is 4.

Therefore, our entire equation is:

y=13(4)^x

3 0
3 years ago
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