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tankabanditka [31]
3 years ago
12

If you raise 4 to the 214th power, what is the units digit of the result

Mathematics
1 answer:
Len [333]3 years ago
4 0
\begin{array}{lrlll}
4^1&\boxed{4}\\
4^2&1\boxed{6}\\
4^3&6\boxed{4}\\
4^4&25\boxed{6}\\
4^5&102\boxed{4}\\
4^6&409\boxed{6}
\end{array}\impliedby \textit{see the pattern for 4?}

notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have

now, you're being asked, what 214 will give? 4 or 6?
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A sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Inessa05 [86]

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

                         =1/2 × 15² ×  8π/5

                         =1/2 ×225 × 8π/5

                          =360π cm²

area of the sector = 360π cm²

8 0
3 years ago
Please give me the ansewer to this question 3/4^3
galben [10]

♡ The Question ♡

-Answer --> 3/4^3

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

Fraction --> 27/64

Decimal --> 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

(3/4)^3

Apply Exponent Rule! --> (a/b)^c = a^c/b^c

(3/4)^3 = 3^3/4^3

3^3 = 27

= 27/4^3

4^3 = 64

= 27/64

27/64 = 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

3 0
3 years ago
Read 2 more answers
Find the volume of the triangular prism.
Anna35 [415]
First you find the area of the front face 1/2bh or in you case 10x12=120  1/2 of 120 is 60  next you multiply 60 by 20 to get 1,200 for the voulume 
3 0
3 years ago
A snail can crawl 2/5 of a meter in a minute.
gavmur [86]
For 2/5 meter, it takes = 1 min.
For 1 meter, it is = 5/2 min.

Now, for 6 meters, it would be: 5/2 * 6 = 30/2 = 15

In short, Your Answer would be 15 minutes

Hope this helps!
6 0
3 years ago
Read 2 more answers
Which expression could be used to find the volume of the prism shown below? 10 4 12 (4x12)x10 (4+12)x10 (10 +12)x12 (10+12)x4
Natalka [10]

Answer:

 V = 10x 4x 12

I think that's the answer :)

7 0
3 years ago
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