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julsineya [31]
3 years ago
14

A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit

case??
Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

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Find the distance between the points A (13, 2) and B (7, 10).
Aliun [14]

Answer:

10

Step-by-step explanation:

d = 10

For:

(X1, Y1) = (13, 2)

(X2, Y2) = (7, 10)

Distance Equation Solution:

d=(7−13)2+(10−2)2−−−−−−−−−−−−−−−−−√

d=(−6)2+(8)2−−−−−−−−−−√

d=36+64−−−−−−√

d=1–√00

d=10

4 0
2 years ago
Which inequality is true? 1.5 greater-than 2 and one-half
Travka [436]

The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

1.5 > 2\dfrac{1}{2}

or

1.5 > 2.5  (false)

1/2 > 0.5

0.5 > 0.5 (false)

-2.5 > -1.5 (false)

-3 \dfrac{1}{2} > -4.5

-3.5 > -4.5  (true)

Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

Learn more about the inequality here:

brainly.com/question/19491153

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7 0
1 year ago
A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is
Allushta [10]

Answer:

  B)  6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

  (0.5 in)/(6 ft) × {78 ft, 42 ft}

  = {39/6 in, 21/6 in}

  = {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

5 0
3 years ago
Read 2 more answers
The tempature was very cold,tgen it doubled,then it dropped 10 degrees,and then it increased by 40 degrees.The tempature is now
ycow [4]

Answer

The initial temperature was T = -7 degrees

Step-by-step explanation:

Let the initial temperature be T.

- The tempature was very cold

Temperarure = T

- Then it doubled

Temperature = 2T

- Then it dropped 10 degrees

Temperature = 2T - 10

- And then it increased by 40 degrees.

Temperature = 2T - 10 + 40 = 2T + 30

The tempature is now 16 degrees

Temperature = 16 degrees

2T + 30 = 16

2T = -14

T = -7 degrees

Hope this Helps!!!

4 0
3 years ago
Read 2 more answers
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is
frez [133]

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

8 0
3 years ago
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