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Snezhnost [94]
3 years ago
13

2:45pm to 5:30 pm how long did it take?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

Answer:

2 hours and 45 minutes. or 165 minutes

Step-by-step explanation:

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Answer:

0.44

Step-by-step explanation:

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Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro
Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is 25(4+\sqrt{2})\ units   or approximately  135.4\ units

Part 3) The area is 937.5\ units^2

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

P=AB+BC+CD+AD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}

d=\sqrt{(-24)^{2}+(7)^{2}}

d=\sqrt{625}

d_A_B=25\ units

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

d=\sqrt{(-8+22)^{2}+(27+21)^{2}}

d=\sqrt{(14)^{2}+(48)^{2}}

d=\sqrt{2,500}

d_B_C=50\ units

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

d=\sqrt{(9+8)^{2}+(-4-27)^{2}}

d=\sqrt{(17)^{2}+(-31)^{2}}

d=\sqrt{1,250}

d_C_D=25\sqrt{2}\ units

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

d=\sqrt{(9-2)^{2}+(-4+28)^{2}}

d=\sqrt{(7)^{2}+(24)^{2}}

d=\sqrt{625}

d_A_D=25\ units

Find the perimeter

P=25+50+25\sqrt{2}+25

P=(100+25\sqrt{2})\ units

simplify

P=25(4+\sqrt{2})\ units ----> exact value

P=135.4\ units

therefore

The perimeter is 25(4+\sqrt{2})\ units   or approximately  135.4\ units

step 3

Find the area

The area of trapezoid is equal to

A=\frac{1}{2}[BC+AD]AB

substitute the given values

A=\frac{1}{2}[50+25]25=937.5\ units^2

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3 years ago
Write an inequality (you must be older than 13 to play basketball league
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13+x=x because 13 plus x will be a good number so you can be able to join the basketball league
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The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles
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Answer:

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Step-by-step explanation:

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the nutrition facts label from a 12 oz can of soft drink is shown below. Note that a serving of the soft drink is defined as 8 o
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The correct answer is C. 65

Explanation:

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1. Write the known values and use x to represent the unknown values

8 oz  =  26 grames of sugar      

20 oz  =  x

2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value

x = \frac{26 x 20}{ 8}   or  x = 26 x 20 / 8

3. Solve the equation

x =\frac{520}{8}      or x = 520 / 8

x = 65

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3 years ago
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