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Vera_Pavlovna [14]
3 years ago
12

What is 4 to the 6th power over 4 to the 8th power?

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

4⁶ / 4⁸

Since the 'bases' are the same on top and bottom, you can
just subtract the bottom exponent from the top one.

4⁶ / 4⁸
= 4⁶⁻⁸
= 4⁻²
= 1/4²
= 1/16
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On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.
ollegr [7]

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

  • Using a ruler draw line AB 4 inches  and label the end points A and B
  • At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
  • Mark that point C.
  • Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

BC=\sqrt{a^2+b^2-2*a*b*cosA}------where a=b=4 in , cos A = cos 60°

BC=\sqrt{4^2+4^2-2*4*4*cos60}

BC = 4 in

6 0
3 years ago
Read 2 more answers
Find the point 3x - 7x₂ =5. of the lines x, - 5x2 = 1 and of intersection
tia_tia [17]

Answer:

(\frac{9}{4},\frac{1}{4})

Step-by-step explanation:

We are given that two lines

x_1-7x_2=5 and x_1-5x_2=1

We have to find the intersection point of two lines

Let 3x_1-7x_2=5 (equation 1)

x_1-5x_2=1 (Equation 2)

Multiply equation 2 by 3 then subtract  from  equation 1

-7x_2+15x_2=5-3

8x_2=2

x_2=\frac{2}{8}=\frac{1}{4}

Substitute x_2=\frac{1}{4} in the equation 1

Then, we get

3x_1-7\frac{1}{4}=5

3x_1-\frac{7}{4}=5

3x_1=5+\frac{7}{4}=\frac{20+7}{4}=\frac{27}{4}

x_1=\frac{27}{4\times 3}=\frac{9}{4}

Hence, the intersection point of two given lines is (\frac{9}{4},\frac{1}{4})

6 0
3 years ago
Which decimal is less 8.0
Dennis_Churaev [7]

Answer:

7.9 is less than 8.0

Step-by-step explanation:

Source My head

5 0
3 years ago
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The perimeter of a rectangular garden is 9696 meters. The length is 6 meters longer than twice the width. Find the dimensions of
nalin [4]

length = 3234 m and width = 1614 m

let the width = w then length = 2w + 6

Perimeter = 2 ( length + width )

               = 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12

given perimeter = 9696 the equating gives

6w + 12 = 9696

subtract 12 from both sides

6w = 9696 - 12 = 9684

divide both sides by 6

w = \frac{9684}{6} = 1614

width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m


3 0
4 years ago
What is the present value of 1,000,000 in 30 years at 3% compounded continuously?
Dima020 [189]
1000000=PVe^(30x0.03)
1000000=PV x 2.4596
PV=406569.65974
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7 0
3 years ago
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