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3 years ago

Explain how to estimate the square root of 1659

Mathematics

1 answer:

Nata [24]3 years ago

7 0

Explanation:

Find the two closest square numbers to 1659.

40*40=1600

41*41=1681

Decide much closer to either 1600 or 1681 is 1659.

If it is exactly halfway between the two numbers, the square root is 40.5.

If it is closer to 1600, the sq rt decimal is between 1 and 4.

If it is closer to 1681, the sq rt decimal is between 6 and 9.

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Answer:

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3 years ago

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Answer:

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2 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

gizmo_the_mogwai [7]

Answer:

The other endpoint of the segment is $(-18,-7)$ .

Step-by-step explanation:

The midpoint of the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the following formula:

$(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

where $(x_m,y_m)$ = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

$(-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )$

To find $x_1$ we need to solve this equation:

$-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18$

and to find $y_1$ we need to solve this equation:

$2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7$

The other endpoint of the segment is $(x_1,y_1)=(-18,-7)$ .

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3 years ago

On a map, Sacramento is 8 cm from San Francisco. This represents an actual distance of 91 miles. On the same map, Sacramento is

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Answer:

Sacramento is 8cm from San Francisco.

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91/8 = 11.375

1cm in map = 11.375 miles

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7 · 11.375 = 79.625

The actual distance is 79.625 miles

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3 years ago

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3 years ago