The rectangles below are similar in shape. How wide is the smaller rectangle?

The Rectangles Below Are Similar In Shape. How Wide Is The Smaller Rectangle?

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=28\ ft}[/tex]

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{x}{42}=\dfrac{36}{54}[/tex]

cross multiply

[tex]54x=(42)(36)\\\\54x=1512[/tex]

divide both sides by 54

[tex]\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28[/tex]


Related Questions

find the distance between the points (2, 7) and (-6, -2).

Answers

Answer:

Approximately 12.04 units.

Step-by-step explanation:

The find the distance between any two points, we can use the distance formula, which is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-6-2)^2+(-2-7)^2[/tex]

Subtract:

[tex]d=\sqrt{(-8)^2+(-9)^2[/tex]

Square:

[tex]d=\sqrt{64+81}[/tex]

Add:

[tex]d=\sqrt{145}[/tex]

Approximate

[tex]d=\sqrt{145}\approx12.04[/tex]

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.

And we're done!

3 Ollie makes a three-digit number using the digits 2, 3 and 6.
His number is odd.
The hundreds digit is greater than 2.
What could Ollie's number be?

Answers

Answer:

623

Step-by-step explanation:

odd means the last digit must be odd, so 3

hundreds digit must be greater than 2, so 6.

Find the third side in simplest radical form :

Answers

Answer:

2√41

Step-by-step explanation:

If the third side is x, we can use the Pythagorean Theorem (a² + b² = c² where a and b are legs and c is the hypotenuse - a and b would be 12 and √20 and c would be x) to write the following equation:

12² + (√20)² = x²

144 + 20 = x²

164 = x²

√164 = √x²

x = ±√164 = ±2√41

x = -2√41 is an extraneous solution because x cannot be negative, therefore, the answer is x = 2√41.

Which graph represents a function

Answers

the last one represents a function ..
Last one is the answer

If UW = 6x - 35, find UW.

Answers

Answer:

67

Step-by-step explanation:

UV+VW=UW

19+4x-20

X=17

Plug it it:

6(17)-35

102-35

UW=67

A conjunction is a statement formed by combining two statements with the word ____. and together with or

Answers

Answer:

and

Step-by-step explanation:

A conjunction is formed when two statements join with the connector and.

The symbol used for a conjunction is:

to mean AND.

For example, when you have two statements :

p : It will rain today.

q : I will fetch water.

You can connect the statements to form a compound statement :

It will rain today and i will fetch water. ( p ∧ q ).

Use a geometric representation to determine the difference of the complex numbers.
z1 = - 2 - 6i
z2 = 5 + 9i

Answers

Answer:

difference is -3

Step-by-step explanation:

Which number-line model represents the sum of 1.25+ (0.75)

Answers

Answer:

the sum of 1.25+(0.75)=2.00

What number when added to 13 gives 2?​

Answers

the answer is -11
so the equation would be 13+(-11)=2
Answer -11
Explanation. -11+13= 2. 13-11=2

Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?

Answers

Answer:

  $291.50

Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

  22×$13.25 = $291.50

Answer:

Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Choose all the expressions that represents the weeks' wages for Kaley if h represents the number of hours Tom worked.  

Step-by-step explanation:

11. A city phone book has 86 pages filled with residents' names. There are
a total of 15,050 names in the book. Each page has an equal number of
names on it. How many names are on each page? (Example 5)

Answers

Jeiocyppgcrtkttksksiitisttsosotststostststststosyodotdoydtodoydyodyodoydoydoysoydotdotdyodyod

what is the answer to 5x-7=-10x+8

Answers

Answer:

x=1

Step-by-step explanation:

Subtract** the 8 to both sides and subtracting 5x from both sides. And then dividing by 15 from both sides.

use the distributive property to simplify each expression
(6+9v)6
(5n+3)12
21(2x+4)

Answers

1. 36+54v
2. 60n+36
3. 42x+84

10 minus 1/3 of a number is 4

Answers

Answer:

10-1/3x=4

Step-by-step explanation:

10 minus is 10-

1/3 of a number is 1/3x

is 4 means =4

10-1/3x=4

PLEASE HELP. I NEED HELP, I NEEEEEEED HELP

Answers

Answer:

1. r is point

2.PQ is ray

3. pr is line

4. p.q,r is collnear points

5. QR is segment

please help I will give brainliest

Answers

Answer:

(rs)(4) = 8

(r/s)(3) = 2

Step-by-step explanation:

it was on my hw.

Solve the inequality:
31(2x + 1) - 12x > 50x

Answers

Answer:

The inequality is true for all x.

[tex](-\infty, \infty) = \mathbb{R}[/tex]

Step-by-step explanation:

[tex]31(2x + 1) - 12x > 50x[/tex]

[tex]62x + 31 - 12x > 50x[/tex]

[tex]50x + 31 > 50x[/tex]

[tex]y+31>y[/tex]

LHS > RHS

Once the LHS will always be greater than RHS for any value of y in the Real Set, the inequality is true for all values of x.

An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number of 8 pound boxes, b, will be taken off the plane and a 600 pound crate will be put on. To keep the plane in balance, no more than 400 pounds may be taken off the plane. Write an inequality that best describes this situation.



b. Write the inequality that describes this situation.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of 8 pounds before boxes to be removed from cargo = b

Weight in pound of crate to be loaded into cargo = 600 pounds

To achieve a balance , no more Than 400 pounds may be taken off the plane

Hence,

Number of pounds removed must not be more than 400 pounds

(8 pounds * b) ≤ 400

8b ≤ 400

Divide both sides by 8

b ≤ 50

Please answer !! Thank you so much !!

Answers

The answer is -12x^4y^4 !

Answer: -12x4y4 (option 3)

Step-by-step explanation:

Molly is 64 inches tall. Mark is 177 centimeters tall. Who is taller?

Answers

Answer:

Mark is taller

Step-by-step explanation:

Some values for two linear equations are shown in the tables. What is the solution to the system of equations?​

Answers

Answer:

  (x, y) = (5, 11)

Step-by-step explanation:

A solution to a set of linear equations is the point that satisfies both equations at the same time.

The point in both tables is (x, y) = (5, 11). This is the solution.

A chemical supply company guarantees the precision weighing of its products. They advertise that a certain product weighs 8 oz +/- 0.03 oz. What is the tolerance interval?

Answers

Answer:

ti like ya cut g

Step-by-step explanation:

The fractions 3/4,6/8 ,9/12 , and 12/16 are examples of _____.

Answers

Answer:

Equivalent fractions

Step-by-step explanation:

Which expression is equivalent to 4(2p+4q)

Answers

Answer:

8p+16q

hope this helps

4x2p=8p

4x4q=16q

Using the digits 0, 3, 4, 5 and 6, and any mathematical signs, can you make an expression equal to 8?

Answers

Answer: 6 + 4 + 3 - 6 - 0

Step-by-step explanation: Add 6, 4, and 3 which gives you 13. Then subtract 5 which gives you 8, then to use all the numbers, subtract 0. There's probably other ways but this is a very simple way.

Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally?


How much would each player receive if there are 8 players on the tennis team?

Answers

Answer:

$518.85/x

Step-by-step explanation:

$582.85 - $64 = $518.85

$518.85/x = How much each player would get

Answer:

1. (582.85-64)/p

2. 64.85

Step-by-step explanation:

i did the assignment and got it correct.

hope this helps!

Find the common ratio of the geometric sequence -20, 140, -980, ...

Answers

Answer:

-7

Step-by-step explanation:

-20  × -7 = 140

140 × -7 = -980

Simplify –3 – 1.
pls help

Answers

Greetings! Hope this helps!

Answer

-3 -1 = -4

Have a good day!

_______________

A brainliest would help tons! :D

Step-by-step explanation:

negative 3 minutes negative 1 would be negative 4

Clayton read 40% of his new book over the weekend. What fraction of the
book did Clayton read?

Answers

Answer:

a simplified fraction would be 4/10 but not simplified would be 40/100

Step-by-step explanation:

He read 40/100 or 2/5 in the simplest form

The sum of two numbers is 10. The difference between the two number is 4. What is the smaller number?
A -1
B 3
C 7
D 9
E 11

Answers

Answer:

B and c

Step-by-step explanation:

3+7 is 10 and it says the sum of 10 so we’re adding

the difference between the two numbers is 4, 7-3 is 4. Difference means subtracting

Answer:

B or 7 doesn’t mater

Step-by-step explanation:

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