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Arisa [49]
2 years ago
11

II. Direction: Rewrite using exponent.

Mathematics
2 answers:
skad [1K]2 years ago
8 0

\huge\text{Hey there!}

\huge\textbf{Question \#6}\\\mathsf{8\times8\times8\times 8}\\\mathsf{= 64\times64}\\\mathsf{= 4,096}\\\mathsf{\bold{8^4} = 4,096}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{8^4}}}\huge\checkmark

\huge\textbf{Question \#7}\\\mathsf{20\times20\times20}\\\mathsf{= 400\times20}\\\mathsf{= 8,000}\\\mathsf{\bold{20^3} = 8,000}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{20^3}}}

\huge\textbf{Question \#8}\\\mathsf{17\times17\times17\times17\times17\times17\times17\times17}\\\mathsf{= 289\times289\times289\times289}\\\mathsf{= 83,521\times83,521}\\\mathsf{= 6,975,757,441}\\\mathsf{\bold{17^8} = 6,975,757,441}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{17^8}}}\huge\checkmark

\huge\textbf{Question \#9}\\\mathsf{245\times245\times245\times245\times245}\\\mathsf{= 60,025\times60,025\times245}\\\mathsf{= 3,603,000,625\times245}\\\mathsf{= 882,735,153,125}\\\mathsf{\bold{245^5} = 882,735,153,125}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{245^5}}}\huge\checkmark

\huge\textbf{Question \#10}\\\mathsf{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\\mathsf{= 4\times4\times4\times4\times4}\\\mathsf{= 16\times16\times4}\\\mathsf{= 256\times4}\\\mathsf{= 1,024}\\\mathsf{\bold{2^{10}}= 1,024}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{2^{10}}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

Reil [10]2 years ago
4 0

Answer:

6.) 8^4
7.) 20^3
8.) 17^8
9.) 245^5
10.) 2^10

Step-by-step explanation:

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A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of x cm, then it's diagonal have the length of x\sqrt2 cm. Using the circle's area we can find the diagonal of the square, as shown below:

area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222

Since the diameter of the circle is the same as the diagonal of the square, then:

x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971

The side of the square is 5.971 cm

8 0
3 years ago
Read 2 more answers
a tank is 3/7 full of water.After removing 420 litres it became 12/35 full .how much can the tank hold when full? ​
insens350 [35]

Answer:

4900 Litres

Step-by-step explanation:

First we need a common demoninator:

3/7=15/35

Then we subtract the two to figure out how much 420 Litres is:

15/35-12/35=3/35

3/35=420 litres

Divide amount by the numerater for thow much 1/x is.

1/35=140

and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.

140 x 35 = 4900

5 0
2 years ago
Fill in the missing number to name a fraction <br> equivalent to 6/8
Nataly [62]
3/4 would be a fraction, equivalent to 6/8.
4 0
4 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Lena [83]

A circle is 360°. Since you only have 3 different types of weather, if you split the ° equally, each section would have 120°. The amount of rainy days is 10/30 or exactly 1/3, so 120° are rainy days.

If you do 30 x 12, it equals 360. So that means that each day is 12°. There were 8 cloudy days, so you can do 8 x 12 = 96°

5 0
4 years ago
Emma tossed a six-sided die two times and recorded the sum of the two numbers. How many different sums are possible for her to r
guajiro [1.7K]

Answer:

11

Step-by-step explanation:

6 times 6 is 36

Think about this you row a 1 first the possible result of the next row is 1,2,3,4,5,or 6 and that is 6 possible sums.

Which is 2, 3, 4, 5, 6, and 7

Next she rows 2 with again 6 possible results

Which is 3, 4, 5, 6, 7,and 8

Then she rows a 3, 4, 5,and 6

with the possible results

4, 5, 6, 7, 8, 9

   5, 6, 7, 8, 9, 10

       6, 7, 8, 9, 10, 11

           7, 8, 9, 10, 11, 12

They asked for different sums so out of the results the different sums is

2, 3, 4, 5, 6, 7, 8, 9, 10, 11,and 12

HOPE THIS HELPS:)

5 0
4 years ago
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