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3 years ago

Simplify the quotient 4.5 x 10^3/9 x 10^7 . Write your answer in scientific notation. Show your work.

1 answer:

8 0

4.5*10^3/9*10^7=4.5/9*10^3*10^7=0.5*10^3*10^7. a^b*a^c=a^(b+c), so 10^3*10^7=10^(3+7)=10^10. 0.5*10^10=5*10^9, since we want to write in scientific notation where the leading number is bigger than one and smaller than 10.

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If tan θ=−4/7, and 270°<θ<360°, what is sec θ?

kondaur [170]

Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

5 0

3 years ago

A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng

Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft (Correct)

3 0

3 years ago

One of the ancient stone pyramids in Egypt has a square base that measures 140 m on each side. The height is 96 m. What is the v

miv72 [106K]

Volume of a pyramid = $\frac{1}{3}*base*height$

Given base is = 140 m

Given height is = 96 m

Volume = $\frac{1}{3}\times140\times96=4480$

Hence, volume of pyramid is 4480 m³

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3 years ago

Math help please? <3

ipn [44]

A linear equation cannot be used.
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3 years ago

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aliya0001 [1]

<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10

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3 0

3 years ago

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