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ioda
3 years ago
7

A scale drawing of a soccer field is 6 inches long. The actual soccer field is 300 feet long. Which of the following represents

the scale factor of the drawing? Hint: 12 in = 1 ft
Group of answer choices

1in : 600ft

6in : 3600ft

1in : 50ft

6in : 300ft
Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:     IT IS BBBB

Step-by-step explanation:

In the figure attached, the complete question is shown.

Originally the scale is 1 inch: 12 yards, the width is 6 inches, that is, 6*12 = 72 yards, and the length is 9 yards, that is, 9*12 = 108 yards

If the scale is 1 inch: 36 yards, then 72 yards are:

1 inch / x inches = 36 yards / 72 yards

x = 72/36 = 2 inches

which represents the new width.

And 108 yards are:

1 inch / x inches = 36 yards / 108 yards

x = 108/36 = 3 inches

which represents the new length.

den301095 [7]3 years ago
4 0

Answer:

<em>1in : 50ft </em>

<em>6in : 300ft</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. For example, we can use scaling when representing geographic locations or dimensions on a map.

The soccer field is represented by a drawing that is 6 inches long, and the actual soccer field is 300 feet long.

To calculate the scale factor, we divide the actual dimension by the scaled dimension:

\displaystyle factor=\frac{300 \ ft}{6\ in}

Dividing:

factor = 50 ft/in

This means each inch of the drawing represents 50 ft of the actual field, thus the scale factor is 1 in:50 ft.

If we hadn't divided, the scale factor would be 6 in:300 ft, thus there are two correct choices:

1in : 50ft

6in : 300ft

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8 0
4 years ago
Stuck on this question. May I please have some help?
Rina8888 [55]

Answer:

So a point is (-3,-5) and the vertex is (-4,-3)

Step-by-step explanation:

This is in vertex form. Vertex form is y=a(x-h)^2+k where (h,k) is the vertex.

The vertex here is (-4,-3)... now just use a value of x to plug in (any value besides -4)

I will choice -3.  This gives -2(-3+4)^2-3

f(-3)=-2(1)^2-3

f(-3)=-2-3

f(-3)=-5

So a point is (-3,-5) and the vertex is (-4,-3)

4 0
3 years ago
Read 2 more answers
car ​as the following utility​ function: ​U(X,Y)equals10Upper X squaredY where X is her consumption of​ Blu-ray disks with a pri
mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

U(x,y)=10x^2y

Calculate marginal utility of good

Differentiate with respect of x and y.

MU_x=20xy

MU_y=10x^2

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10.

The ratio of marginal utility of good x to y is equal to the price ratio:

\frac{MU_x}{MU_y}=\frac{P_x}{P_y}

Substitute the respective values.

\frac{20xy}{10x^2}=\frac{40}{10}

\frac{2y}{x}=4

2y=4x

y=2x

She has ​$1800 with which to spend on the two goods.

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10. She has ​$1800 with which to spend on the two goods.

Therefore, 40x+10y=1800

4x+y=180

Substitute the value of y in above equation.

4x+2x=180

6x=180

x=30

Thus, y=60

She consumes 30 blue ray disk and 60 DVD respectively.

6 0
3 years ago
How do I do this? please help me
Dmitry_Shevchenko [17]
The ratio is 9 to 16

9/16 = x/12
cross multiply
9 times 12 = 108
16 times x = 16x
108 divided by 16 is 6.75
it would measure 12 by 6 3/4
3 0
3 years ago
HELP PLSS!!
erma4kov [3.2K]

Answer:

12

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 6 ] , then

f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56

f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then

average rate of change = \frac{56-20}{6-3} = \frac{36}{3} = 12

8 0
3 years ago
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