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vfiekz [6]
2 years ago
7

The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1in/15ft. The area of the flow on the blueprint is 1

14in2.
What is the area of the actual gymnasium?
Mathematics
2 answers:
Anettt [7]2 years ago
5 0

B) 25, 650 ft^2

If the ratio is 1:15, then the measurements of each side of the actual gym are 15 times greater than the scale's. So the areas would have a ratio of 1:225. 114 times 225 is equal to 25, 650

stira [4]2 years ago
3 0
1/15=144/x
Cross multiply
X=2,160

Gymnasium=2,160 ft2
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a cyclist bikes a certain distance in 45 minutes , write an equation that shows the relationship between speed,s, and time,t, wh
denis23 [38]

An equation that shows the relationship between speed and time is Speed = \frac{100}{45}

<u>Given the following data:</u>

  • Distance = 100 miles.
  • Time = 45 minutes.

To write an equation that shows the relationship between speed and time:

<h3>What is speed?</h3>

Speed can be defined as the distance covered by a physical object per unit of time. Thus, the cyclist's speed can be measured as miles per minutes.

Mathematically, speed is given by this formula;

Speed = \frac{distance}{time}

Substituting the given parameters into the formula, we have;

Speed = \frac{100}{45}

Read more on speed here: brainly.com/question/10545161

8 0
1 year ago
A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?
erastovalidia [21]

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So \frac{72}{x+72} is the fraction of females in the force.

Thus, we can form the equation:

\frac{72}{x+72} = 0.24

x+72 = \frac{72}{0.24}

x = \frac{72}{0.24} -72

x = 228

Thus, the answer is 228 males.

6 0
2 years ago
What is the distance between the points (2, -7) and (-3, -2) on the coordinate plane?
zalisa [80]
-5, 5 there u go cuhhhhhhhhh

4 0
3 years ago
rick deposited $6200 in a savings account with simple interest. three years later, the account held $7130 what was the interest
Law Incorporation [45]

1) Gathering the data

P=$6200

F=7310

t= 3 yrs

2) Since it is a simple interest, it is a linear application. So we can find it using this formula:

undefined

8 0
1 year ago
Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
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