A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

Answers

Answer 1

Answer:

The length has increased by a factor of 4/3 or 1 1/3

Step-by-step explanation:

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3


Related Questions


Reflections, Rotations, and Translations give two congruent shapes (The Image and Pre-Image)
True
O False

Answers

I’m pretty sure it’s true

Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

10(x − 3)2 − 1
10(x − 1)2 − 3
(5x − 1)(2x − 3)
10(0)2 − 17(0) + 3

Answers

Answer:

(5x - 1)(2x - 3)

10x^2 - 17 + 3 = (5x - 1)(2x - 3)

Answer:

C.(5x − 1)(2x − 3)

What is the value of the expression below when x=10x=10 and y=4y=4?
8x-7y
8x−7y

Answers

Answer:

Step-by-step explanation:

8(10) - 7(4)

8X10 - 7X4

80 - 28

52

Please help me pls plsss

Answers

Answer:

c is correct

Step-by-step explanation:

If you look at it, 2x is the slope. Always remember the formula y = mx + b

The mx is your slope. And the whole number is your b or y - intercept

Hope this Helps!! :)

the tiles on cathy's bathroom floor are square shaped and each tile covers an area of 90 square inches. simplify an expression to represent the side length of each tile.

Answers

Answer:

[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]

Step-by-step explanation:

Area of a square tile = 90 square inches

Let the side length of tile be "L"

Condition:

Area = 90

L * L = 90

L² = 90

Taking sqrt on both sides

L = √90

L = 3√10

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Simplify the Expression

Answers

11a^3-4a^2-14a-7 is the correct answer :)

Name the interval on which the function graphed below is
increasing.

1. X>1.5
2. X<1.5
3. X>0
4. -1

Answers

Answer:

Step-by-step explanation:

x > 1.5

aaaa helppp :((((!!!!!!!!!!

Answers

Answer:

I am pretty sure it is the third one

Step-by-step explanation:

Answer:

yea for sure the third one

Step-by-step explanation:

Simplify

12d divided by 2

Answers

Answer:

6d

Step-by-step explanation:

6d . You divide 12 and 2 which is 6 then add the d on your answer.

find the area of the composite figure ​

Answers

Answer:

12 x 13 = 156

17 - 12 = 5 x 12 = 60

156 + 48 = 216


O 91.7 miles
O 55.5 miles
O 41.7 miles
O 63.8 miles

Answers

Answer:

* 55.5 miles

Step-by-step explanation:

17² + b² = 23²

289 + b² = 529

b² = 240

b = 15.491 ≈ 15.5

17 + 23 + 15.5 = 55.5

You can also simply notice B is the only answer with a .5 decimal and thus don't have to add.

Will give brainiest to correct answer

20a + 32

Answers

Answer:

wouldn't it just be the same? It would still be 20a+32

Answer:

4(5a+8)

Step-by-step explanation:

Factor 20a+32

20a+32

=4(5a+8)

Which statement is true about the following pair of rectangles?

Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.

Answers

Answer:

probably D

Step-by-step explanation:

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden. ​

Answers

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

[tex]w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16[/tex]

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

Subtract and simplify. plz show all work!
(−5y^2 − 9y− 4) − (−2y^2 − y + 8)

Answers

the answer is −
3
y
2

8
y

12

4 2/3 - 3 1/8
Leave your answer as a mixed fraction

Answers

Answer:

Here.is the answer.

Step-by-step explanation:

Hope it helps.....

6. Mr. Walthour is building a storage shed in a conical shape. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? Round to the nearest tenth. (Example 2)​

Answers

I think it helps you..............

What is the area of the trapezoid?

Answers

Answer:

108

Step-by-step explanation:

b1+b2/2×h

so 12+15/2×8

12+15=27

27÷2=13.5

13.5×8=108

108 is the answer

A pet home owner wants to keep the ratio of cats to dogs at 3:5. She has 21 cats, how many dogs are there in the pet home?

Answers

35 dogs

Step-by-step explanation:

The ratio of cats to dogs can also be written as

3/5 = 21/x

x = 35

What is the degree measure of
A
310
34
58
D

Answers

Answer:

34

Step-by-step explanation:

A triangle always has a sum of 180 degrees

First, let us find the right angle

180-149=31

Now find v

180=31+115+x

180-146=x

x=34

Find the equation of the line between the points (10, – 5) and ( - 2,0).

Answers

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]

Select the correct answer.
What is the value of y?
A.3
B.8
C.4
D.16

Answers

A. It’s 3..............

Which expression is equivalent to (18x + 9k) + (2x + 6k)?
16 x + 3 k
20 x + 15 k
20 x + 16 k
36 x + 54 k

Answers

20x + 15k is the answer we just have to remove the bracket and add the terms

hope it helps

Answer:

20x + 15K

Step-by-step explanation:

just add like variables (x and Y)

Find the value of x.

Answers

Answer:

66

Step-by-step explanation:

subtract each external angle by 180 to find the interior angle.

Since you know that all of the interior angles add up to 540 because 180(n-2)

with n is how many sides in the polygon

so 180(5-2)=540

now take each value and subtract it by 180

180-(45)=135

180-(40)=140

180-(x)=180-x

180-(77)=103

180-(2x)=180-2x

135+140+180-x+103+180-2x=540

738-3x=540

x=66

hope that helps :)

Please give brainliest

And angle measures 54° more than the measure of its complementary angle what is the measure of each angle

Answers

Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees

The price of a book, which regularly sells for $24, was marked down by 25%. A coupon reduced the price by another 10%. What was the final selling price?

Answers

Answer:

$16.20

Step-by-step explanation:

24.00 × 25%= 6.00

24.00 - 6.00 = 18.00

18.00 × 10%=1.80

18.00 - 1.80 = 16.20

A percentage is a way to describe a part of a whole. The final cost of the book will be $16.2.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the cost of the book is $24. Therefore, the cost of the book after a 25% discount is,

Cost of book after discount = $24×(100%-25%) = $18

Now, the cost after the 10% counpon will be,

Cost after the 10% counpon = $18×(100%-10%) = $16.2

Hence, the final cost of the book will be $16.2.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ2

Help me please with this math question

Answers

34 34/100. 17

27. 27/100. 13.5

21. 21/100. 10.5

18. 18/100. 9

I think this is right!

walk if it walks at a constant pace for 15
minutes. At the same rate, how many
kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Minutes H
0
+
15
Meters H
400


PLEASE HELP ME TODAY

Answers

Answer: 4.00

Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.

20 POINTS AND BRAINIEST!

You want to sell lemonade by the park. Different brands of lemonade have different formulas. You want to sell the lemonade that tastes the most “lemony.” You use 4 cups of lemon concentrate and 6 cups of water.
What fraction of the TOTAL mixture is lemon concentrate? What percentage is this?

Answers

Answer:

4/10

Step-by-step explanation:

you add the amount of cups of concentrated lemon plus the amount of water and it is 10. and then it asks for the faction of lemon concentrate out of 10. so it would be 4/10

Hope this helps!!

HELP DUE IN 10 MINS! Determine whether the triangle described is right, obtuse, or acute. Show work to justify your answer.

7, 10, 13

This triangle is a obtuse, acute, right triangle?? because blank number is equal to, greater than, or less than another number??

Answers

Obtuse scalene triangle
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