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3 years ago

How do I do this? Find the distance between the points given. Simplify all irrational answers.

1 answer:

8 0

The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.

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Express 80 inches in standard notation using feet and inches.

Vladimir79 [104]

80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

The solution to the given problem is to use some standard conversion units that are:

1 foot = 12 inches

1 inch = 0.8333 feet

Solution:

As mentioned above that one inch is equal to 0.8333 foot therefore

1 foot = 12 inches

then,

80 inches would be equal to

= $\frac{80}{12}$ ft

= $\frac{20}{3}$ ft

= 6ft 8 inches

= 6' 8"

Thus, 80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

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3 0

3 years ago

Reflect the shape A in the line

Ghella [55]

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

I hope this helps!!

8 0

2 years ago

find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circl

arsen [322]

The area of a shape is the amount of space it can occupy.

<em>The value of r is 13</em>

From the question (see attachment), we have:

$\mathbf{A =176}$ --- area of the shaded region

$\mathbf{w = 2}$ --- the width of the shaded region

The area of the complete circle would be:

$\mathbf{A_1 =\pi (r + w)^2}$

The area of the small circle is:

$\mathbf{A_2 =\pi r^2}$

So, the area of the shaded region is:

$\mathbf{A = A_1 - A_2}$

Substitute known values

$\mathbf{176 =\pi (r + w)^2 - \pi r^2 }$

Substitute 2 for w

$\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }$

Expand

$\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }$

Open brackets

$\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }$

Cancel out line terms

$\mathbf{176 =4\pi r + 4\pi }$

Divide through by 4

$\mathbf{44 =\pi r + \pi }$

Factor out pi

$\mathbf{44 =\pi(r+ 1) }$

Divide through by pi

$\mathbf{r + 1= \frac{44}{ \pi} }$

Substitute 22/7 for pi

$\mathbf{r + 1= \frac{44}{ 22/7} }$

Using a calculator, we have

$\mathbf{r + 1= 14}$

Solve for r

$\mathbf{r= 14 -1}$

$\mathbf{r= 13}$

Hence, the value of r is 13

Read more about areas of circles at:

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6 0

1 year ago

The high temperature in Fairbanks, Alaska was 12.2 degrees, then that night it fell 48.4 degrees. The next morning, it rose 17.1

asambeis [7]

Answer:-19.1

Step-by-step explanation:

8 0

2 years ago

27. A farmer divides his herd of cows among his

Sav [38]

We have to find a common denominator for the fractions so
1/2 1/4 1/5
they all go into 20
so
10/20 5/20 4/20
in total that is 19/20
so the last son has 1/20 which is seven
so 20/20 is 20 times that amount which is 140

140 cows

3 0

3 years ago

Read 2 more answers