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2 years ago

Estimate 58% of 121 by using 10%

2 answers:

7 0

58% is about equal to 60%, or 6 times 10%. 10% of 121 is 12.1.
12.1 * 6 = 72.6
To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.
72.6 - (1.21 * 2) = 72.6 - 2.42 = 70.18

dsp732 years ago

3 0

Answer:

58% of 121 by using 10% is 70.18.

Step-by-step explanation:

Given : 58% of 121.

To find : estimate 58% of 121 by using 10%.

Solution : We have given 58%

Estimate of 58% is 60%

We need to use 10%

We can write 60% as 6 times of 10%

Since , 10% of 121

$10*\frac{121}{100}$ = 12.1

60% = 6 times of 10%

Plugging the values

60% == 6 times of 12.1

6 *12.1 = 72 .6

To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.

72.6 - (1.21 * 2) = 72.6 - 2.42 = 70.18

Therefore, 58% of 121 by using 10% is 70.18.

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Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$