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lara [203]
3 years ago
11

If each 6 in. On the scale drawing below equals 3 feet, what is the actual area of the shape in square units?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

32 ft²

Step-by-step explanation:

Assuming the diagram attached below similar to the one required to complete the question below.

From the diagram,

Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)

A = bh.......................... Equation 1

From the question,

If each 6 in on the scale drawing equals 3 feet

Given:

base on the scale drawing = 8 in.

Actual base(b) = (8×3)/6 = 4 feet.

Height on the scale drawing = 16 in

Actual height(h) = (16×3)/6 = 8 feet.

Substitute these values into equation 1

A = 4×8

A = 32 ft²

Hence the actual area of the shape is 32 ft²

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Which equation represents the line that passes through (-6, 7) and (-3, 6)?
Degger [83]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}

Thus, the equation of the line is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find b:

6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5

Finally, the equation is:

y = - \frac {1} {3} x + 5

Answer:

y = - \frac {1} {3} x + 5

8 0
3 years ago
Solve the word problem. Be sure to use the six steps!
Lemur [1.5K]

Answer:

1450 residents

Step-by-step explanation:

Number of residents who live in Harris

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7 0
1 year ago
Kamala gave rs 1,50,000 to her friend.She gave currency notes of denomination Rs. 50,Rs.100,Rs.500 in the ratio 4:3:5.How many n
vivado [14]

Answer  

Find out the how many notes of each denomination did she give .

To prove

Let us assume that x be the scalar multiplication of the Rs 50, Rs100,Rs500 curreny notes.

As given

Kamala gave Rs 1,50,000 to her friend.

She gave currency notes of denomination Rs. 50,Rs.100,Rs.500 in the ratio 4:3:5.

Rs50 currency note gave in the denomination = 4x

Rs100 currency note gave in the denomination = 3x

Rs500 currency note gave in the denomination = 5x

than the equation becomes

4x + 3x + 5x = 150000

12x = 150000

x = \frac{150000}{12}

x = 12500

Thus

Rs50 currency note gave in the denomination = 4 × 12500

                                                                             = 50000

Rs100 currency note gave in the denomination = 3 × 12500

                                                                             = 37500

Rs500 currency note gave in the denomination = 5 × 12500

                                                                             = 62500


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ch4aika [34]
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A division problem is shown below.
natima [27]

Answer: D

Step-by-step explanation: Hope this helps :)

4 0
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