Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.

Answers

Answer 1

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.


Related Questions

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin

Answers

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.

5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).

Answers

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

help me pls! i'll mark u brainliest promised

Answers

Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

help me please!!! asap!​

Answers

C should be the answer

Answer: C

Explanation: 3(2) = 6

helpppp pleaseee
NO LINK

Answers

Answer:

The graph increases

Step-by-step explanation:

1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

38 ounces.

Thanks.Hope it helps.

Answer:

32 ounces........

..

Step-by-step explanation:

.................

HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP

Answers

A) x = 15

steps:

90 = 5x + 15

-15 -15

75 = 5x

÷5 ÷5

15 = x

explanation:

< P is 90°

so you have the equation of < P equal 90 to find the x

B) < RQP = 33

steps:

2x + 3

2(15) + 3

30 + 3

33

explanation:

now that you know what x equals you just plug in 15 for the x and solve

You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you to get there? Show your work. Check your answer.

Answers

Answer: 6 hours

Explanation: You divide 330 miles by 55 mph.

A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?

Answers

Answer:

191 Feet.

Step-by-step explanation:

Answer: Your answer should be 191!

A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)

Answers

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

Which is the greatest common factor of
48 and 72?
A, 8
B, 12
C, 24
D, 48

Answers

Answer:

24

Step-by-step explanation:

Because we have to look at the GREATEST common factor.

8 and 12 are factors but they are not the greatest.

24 is the greatest common factor they both share.


Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)

Answers

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

Answer:

hope it helps

stay safe healthy and happy.

An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?

Answers

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

Which expression is equivalent to 3x - (2x + 4) + 5?
x+1
x + 9
5x + 9
5x + 1

Answers

Answer:

x + 1

Step-by-step explanation:

3x - (2x + 4) + 5

3x - 2x - 4 + 5

x - 4 + 5

x + 1

Find the area of the trapezoid

Answers

Answer:

45

Step-by-step explanation:

A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?

Answers

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]

Mrs. Thomas has two rolls of garden edging that are each 96 inches long.

She wants to make two new flower beds in her back yard. Each flower bed

will be bordered by one roll of the edging. One flower bed will be in the

shape of a quadrilateral. The other will be in the shape of a triangle.


Please answer all parts. I will give brainliest for correct answer!

Answers

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Someone help me out with this need a quick respond

Answers

to get the perimeter of a circle you need to use the formula 2xpix r
so 2x 3.1416 x 2= 12.56
so the third one counting from left to right

Please help will mark brainliest

Answers

Answer:

The answer is 36.9

Step-by-step explanation:

Who are some good you tubers to watch?

Answers

Answer:

Cocomelon

Their videos are pretty good!

Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?

Answers

Answer:

4/13

Step-by-step explanation:

Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13

Is 3 a solution to 3x + 5 = 5x + 6 - 2

Answers

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

Answer:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?

Answers

Given the info, we can do 343-331=12 and 20-0=20. Then divide both by 2 to get a ratio of 6:10. This indicates that if temperature is 10, speed will be 6 m/s. I order to get the distance, multiply 6 m/s by 1.4 s, the unit s (second) cancels out and the answer is 8.4 m.

Someone help me out on this one please

Answers

Angle H and angle K :)

Answer:

Angle GHM and Angle LKJ

Step-by-step explanation:

They are both marked the same with one line.

A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?

Answers

Answer: $16

Explanation: 10% of $160 is $16

Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90 books sold after 5 days NEED IT FAST

Answers

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.

WORTH 30!!!
Find the value of tan theta, if cos theta= 4/5; 0< theta < 90​

Answers

Answer:

I'm almost positive that A and D are wrong but please don't kill me if I'm wrong

Step-by-step explanation:

PleaseeEEEE helpp!!!
45 POINTS

Answers

Answer:1.85+x=5.30

Step-by-step explanation: ez

Answer:

1.85 + x = 5.30

Step-by-step explanation:

It started of at 1.85 meters

After awhile it has reached a height of 5.30

If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30

i need an answer...............................

Answers

Answer:

8 i think

Step-by-step explanation:

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