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3 years ago

What two ways can you find the product of 8x997 using mental math

1 answer:

7 0

8=10-2 or
997=1000-3
so we can use distributive property
remember, a(b+c)=ab+ac

for the first one
8(997)=(10-2)(997)=997(10-2)=997(10)+997(-2)=9970-1994=7976

2nd one
8(997)=8(1000-3)=8(1000)+8(-3)=8000-24=7976

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3 years ago

Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the p

AnnZ [28]

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

<h3>Define perimeter of circle.</h3>

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.

Given data -

Perimeter of circular plate = 10 $\pi$ cm

We know that perimeter of a circle is 2 $\pi$ r

Therefore 10 $\pi$ = 2 $\pi$ r

r = 5 cm

The given error Alan can make is +-1 cm.

Minimum radius is given by

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r = $\frac{10\pi - 1 }{2\pi }$

r = 5 - $\frac{1}{2\pi }$

Maximum radius is given by

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r = 5 + $\frac{1}{2\pi }$

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

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1 year ago

Please help the following questions

insens350 [35]

Answer:

<em>Option D</em>

Step-by-step explanation:

Assume that these polygons were similar. You could tell that if they were, ABCD ~ EFGH, and is already noted by the answer choices. We can conclude that AB ~ EF, CD ~ GH and so on. To prove that these shapes are similar, we must form a like proportionality among these side;

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As the proportions we formed were to equal to one another,<em> the solution must be option D!</em>

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2 years ago

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3 years ago

a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas

Katyanochek1 [597]

By using a change of units, we can see that the rate in dollars per liter is:

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Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

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