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yKpoI14uk [10]
3 years ago
7

Simplify; 26 ⋅ 26^8 Please also explain how you got the answer.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0

26 ⋅ 26^8

Multiply by adding the exponents:

Raise 26 to the power of 1 to get:

26^1 * 26^8

Now when you multiply the same number raised to different powers, you add the powers together:

26^1 * 26^8 = 26^(8+1) = 26^9

So 26 * 26^8 simplifies is 26^9

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An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

\frac{1}{2}BC*EM=  \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}

6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

3 0
3 years ago
Suppose your current electricity meter reading is 25,789 kWh, and the reading on your last bill was 25,350 kWh. If you are charg
Brrunno [24]

The amount of bill is $43.15

Step-by-step explanation:

Given,

Current meter reading = 25,789 kWh

Reading on last bill = 25,350 kWh

Reading for the month = Current meter reading - Last month bill reading

Reading for the month = 25789 - 25350 = 439kWh

Cost per kWh = $0.0983

Cost of 439 kWh = 0.0983*439 = $43.1537

Rounding off to nearest hundredth

Cost of 439 kWh = $43.15

The amount of bill is $43.15

Keywords: subtraction, multiplication

Learn more about subtraction at:

  • brainly.com/question/11175936
  • brainly.com/question/11203617

#LearnwithBrainly

8 0
3 years ago
Negative one half minus negative five ninths
Ymorist [56]

Answer: -101/18

Step-by-step explanation: I think, I don’t know

6 0
3 years ago
The original rectangle has a perimeter of 16
zaharov [31]

As we can see that the sides of the rectangle have been doubled

6.2 ft changed to 12.4 ft

Now when the sides have been doubled

the Perimeter will also be doubled

So the perimeter of new rectangle should be the double the perimeter of old rectangle

So perimeter of new rectangle = 2 (16 ) = 32 feet

Option C is correct

7 0
3 years ago
Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu
Afina-wow [57]
Find a common denominator which is 12

1*3=3   4*3=12  so 3 3/12

then 5*2=10   6*2=12     so 2 10/12

2 10/12+3 3/12= 5 13/12  

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12
3 0
3 years ago
Read 2 more answers
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