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2 years ago

What is the volume of a cube with a side length of 5cm ?

Mathematics

2 answers:

zysi [14]2 years ago

8 0

The volume of a cube with a side length of 5 cm is V=125cm^3

Kitty [74]2 years ago

5 0

Volume = length × width × height

Length = 5
Width = 5
Height = 5

5 · 5 · 5 = 125

Volume = 125 cm³

Hope this helped☺☺

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

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2 years ago

The change in the value of an account when given to the nearest dollar?

devlian [24]

What changes may occur if the given dollar will be rounded off to its nearest value.
There will only be 2 chances, the dollar will become smaller or bigger. Why? 
Because in mathematical rules of rounding off numbers:
number below 5 will be round down and 5 and up will be rounded up.
For example:
You have a bill of $6.79 since the number next to the decimal point in the right is 7, it will be rounded up to $7.
But if your bill is $6.25, it will be rounded down to $6.00

I got this from a different brainy member

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3 years ago

LAST ONE Find the range of the data. 16, 55, 61, 92, 31 range =

agasfer [191]

Answer:

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76

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3 years ago

Hannah has 36 space rocks total. How many more purple rocks Does Hannah have been blue rocks?

-BARSIC- [3]

Answer:

12 purple rocks

24 blue rocks

Step-by-step explanation:

2/3 blue

1/3 purple

36/3 = 12

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3 years ago

What is the FDP of 0.3

exis [7]

Answer:

0.3 = 3/10 = 30%

Step-by-step explanation:

The reading of the number as "three tenths" tells you how to write the fraction:

0.3 = 3/10

You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...

0.3 = 0.30 = 30/100 = 30%

0.3 = 3/10 = 30%

8 0

3 years ago