used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer 1

Answer:

230 ft

Step-by-step explanation:


Related Questions

The diameter of a circle is 6 kilometers. What is the area?

d=6 km

Give the exact answer in simplest form.
square kilometers

Answers

Answer:

28.27 rounded orrrr 28.27433388 not rounded.

Step-by-step explanation:

area of circle=πr^2

radius=3 km

3^2=9

9*π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) =1/2 Diameter

=60/2

=30km

Area = π x (30)²

= π x 900

= 2027km²

11. Dave is building a doghouse that is a scale model of his shed in the farm yard, One of
the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window
is 9 cm wide,
a) What is the scale factor Dave is using to build the doghouse?
a.
2 mar
b) How high is the window in the scale model?

Answers

Answer:

a) 1/13 (or 13 depending on the factor is being applied to the dog house or applied to the shed. If its being applied to the shed like 117 * scale factor it is 1/13)

b) 10

Step-by-step explanation:

The scale factor is 13 and the height of the dog house is 10 cm.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object.

Given that, Dave is building a doghouse that is a scale model of his shed in the farmyard, One of the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window is 9 cm wide,

a) Since, the scale factor = ratio of original scale to scale of the model.

Therefore,

Scale factor = 117 / 9 = 13

b) Since, the scale factor is 13 and the original scale of the window high is 130 cm.

Therefore, height of the doghouse = 130 / 13 = 10 cm

Hence, the scale factor is 13 and height of the dog house is 10 cm.

Learn more about scales, click;

https://brainly.com/question/1287267

#SPJ2

Please help me I know it's A but I don't know why.​

Answers

Answer:

Maybe try explaining that if you narrow it down and simplify the numbers by dividing them by 8 or somewhere around there.

help me find the answer please​

Answers

Answer:

A x<1125

Step-by-step explanation:

MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!


I need help with #13

Answers

Answer:

True

False

False

Step-by-step explanation:

Simplify the expression: 5(x + 2) > 50

Answers

Answer:

x >8

Step-by-step explanation:

Answer:

x > 8

Step-by-step explanation:

Solving an algebraic inequality is the same as solving an algebraic equation. One uses the technnique of inverse operations to undo every step in the expression to get the answer. The only difference is that with an inequality, one must remember to flip the inequality sign when dividing or multiplying by a negative. This rule does not apply to the given inequality.

5(x + 2) > 50

/5            /5

x + 2 > 10

  -2      -2

x > 8

Carla wants to save $55.50 to buy a new video game. Carla babysits her niece once a week and earns the same amount of money each week. After every time she babysits she donates $2 from the money she earned to the local food bank. Carla calculates that it will take her 6 weeks to save enough to buy her video game. Write and solve an equation to determine how much money Carla earns per week. ​

Answers

Answer:

$11.25

Step-by-step explanation:

55.50 divided by 6 = 9.25

9.25 + 2 = 11.25

PLEASE HELP ASAP!! WILL GIVE BRANLIEST!!!

Answers

Answer:

Brand A

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Brand A

V = [tex]\frac{1}{3}[/tex]π × 6² × 15 = [tex]\frac{1}{3}[/tex]π × 36 × 15 = π × 12 × 15 = 180π in³

Brand B

V = [tex]\frac{1}{3}[/tex]π × 5² × 18 = π × 25 × 6 = 150π in³

Brand A have the largest volume

Please help me, I’m struggling

Answers

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

simplify this number 27:81​

Answers

Answer:

I believe the simplified form of this ratio is 1:3

*The common factor to both numbers is 27.

27÷27=1 and 81÷27=3

So, that's where the 1:3 came from

Find all the missing sides and angles of this triangle,
А
7
B
70°
The measurement of angle A
A A=
The length of side BC
The length of side AC-

Answers

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

hi please help i’ll give brainliest

Answers

Answer:

Ellipse. It is irregular at some points.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?

Answers

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.

[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]

Which gives;

The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.

The the comparison can also be made with the triangle proportionality theorem.

Learn more about triangle proportionality theorem here:

https://brainly.com/question/8160153

Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

y = -2x + 8

x = 3

y = x - 1

y = 2

Step-by-step explanation:

if 2x + y = 8 and x - y = 1

you can solve using substitution, elimination, matrix etc.

You will find that x = 3 and y = 2

Hope this helped.

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?

Answers

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

Find the slope will give brainliest if it is correct.

Answers

Answer:

I cannot see pictures, so I will explain how to find slope, so you can do it on your own.

Step-by-step explanation:

Find 2 coordinates on the line.

Ex: (2,3) and (4,6)

Subtract the y-coords and x-coords from each other and divide.

6-3 = 3

4-2 = 2

3/2

So the example slope is 3/2.

The 3 represents the rise, and 2 represents the run.

---

hope it helps

PLSSS HELP IF YOU KNOW THISS:))

Answers

The answer is 428 there you go

What is the answer to this question?

Answers

Answer:

C is the answer also can I have brian list

Step-by-step explanation:

In OK, which arc is a major arc?
G
H
74
K
A GEI
C FJG
D IJF
B HIJ

Answers

Answer:

D

i thank

Step-by-step explanation:

please please I really need help this depends on my life​

Answers

Answer:

39.4 divided by (-7.2)= -5.472

6.7-39.31=-32.61

Step-by-step explanation:

Today i will walk 3 miles per hour to school, which is 1.5 miles away how many hours would this trip take

Answers

Answer: 30 minutes so 1/2 hour

Step-by-step explanation:

Because 3 miles = 1 hour

1.5 times 2 = 3

divide 2 on both sides

Answer:

2 hours

Step-by-step explanation:

divide3 by 1.5 and that is how long it will take you

Please help ASAP last question. Number 6

Answers

If 19,000=19% Then 100,000=100%

100,000-900=99,100

Answer: $99,100 was his salary last year

What is the vertex of f(x) = -2|x + 1| + 2?

Answers

Answer:

(-1,2) i think

Step-by-step explanation:

What is the solution to this system

Answers

Answer:

Sorry, I was on my phone. Its (2,3)

Step-by-step explanation:

Answer:

(2,3) is the answer

Step-by-step explanation:

HELPPPPPPPPPPPPP
In a bag of marbles there are 3 blue​ marbles, 3 red​ marbles, and 3 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two green marbles first and one red marble​ last?

Answers

Answer:

separating

Step-by-step explanation:

separate the colors and if u separate the green from the red u can easily pick the marbles out

Use the order of operations to solve for C when n = 5.
C = 7(4n + 2) - 8
Use order of operations to solve for C when n = 5.
C = 45 - 3n

Answers

C=7(4(5)+2)-8
C=7(20+2)-8
C=7(22)-8
C=154-8
C=146

C=45-3(5)
C=45-15
C=30

does anybody know the answer?

Answers

Answer:

y+48=90

y= 90-48

y= 42

Step-by-step explanation:

ok

by using the property

sum of two opposite interior angles of triangle is equal to exterior angle

100 POINTSSS PLZZZZZZZZZZZ

Answers

Answer:

The correct anser is B. (i think. sorry if wrong) have a wonderfull day. dont let them bring you down. your amazing just the way you are.

Step-by-step explanation:

Step-by-step explanation:

\blue{\large \rightarrow }\: \boxed{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}

word form? 132 = 132

Answers

Answer:

one hundred thirty-two

Step-by-step explanation:

should be it if it is can i get brainliest?

Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Paul's mistake and write the correct ordered pair for the new location of the market.

Answers

Answer:

(1,5) because, before it was at (3,8) and  

3 – 2 = 1      

8 – 3 = 5

For further explanation:

(3,8) / (2,3) = (1,5)

2 for 2 units left and 3 for 3 units down

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