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Mademuasel [1]
3 years ago
5

A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet

. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation?
The foundation cannot be a rectangle: 24+32≠40

The foundation cannot be a rectangle: (24+32)^2≠40^2

The foundation cannot be a rectangle: √24^2+32^2≠40^2

The foundation may be a rectangle: 24^2+32^2=40

^2
Mathematics
2 answers:
ruslelena [56]3 years ago
5 0

I have drawn a figure for the foundation of a frame with dimension 24 x 32 and diagonal.

For triangle ABD, if it's satisfy the Pythagorean theorem then ABCD will be a recatngle.

Pythagorean formula is:

a² + b² = c²

Where c is the hypotenuse and a, b are the legs of the triangle.

From triangle ABD:

AB² +BD² = AD²

24² + 32² = 40²

576 + 1024 = 1600 Simplify each sides separately.

1600 = 1600

From above result , 1600 = 1600 is true.

So, ABD is a right triangle, similarly ACD will also be right triangle.

Hence, ∠B and ∠C are right triangles.

So, ABCD is a rectangle.

Hence, the last choice is correct.

Hope this helps you!.

miss Akunina [59]3 years ago
3 0

Answer:

D. The foundation may be a rectangle: 24^2 + 32^2 = 40^2

Step-by-step explanation:

I just took the quiz on edge

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r=36
center at -2,-7
(x-(-2))^2+(y-(-7))^2=36^2
(x+2)^2+(y+7)^2=1296


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6 0
3 years ago
Sebastian and Mia want to buy a home valued at $250,000. The property tax for this location is 1%. Based on the current value of
denis-greek [22]
1% of $250,000 is $2,500

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5 0
3 years ago
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A box of cereal states that there are 75 calories in a three fourths 3/4​-cup serving. What is the unit rate for calories per​ c
Dimas [21]

Answer:

a) The unit rate for calories per​ cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4​-cup serving.

a) What is the unit rate for calories per​ cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per​ cup is 100 calories per cup

b) How many calories are there in 2 cups of the​ cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

7 0
3 years ago
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equatio
Aleks [24]

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

5 0
3 years ago
Find the midpoint of the line segment with end points (-9,3), (5,11)
denis-greek [22]

Answer:

The midpoint is (-2,7)

Step-by-step explanation:

To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2

(-9+5)/2 = -4/2 =-2

To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2

(3+11)/2 = 14/2 = 7

The midpoint is (-2,7)

8 0
3 years ago
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