the triangles shown are similar. the side measuring 4 in. corresponds to the side measuring 9 in. what is the ratio ( smaller to larger )

Answers

Answer 1

Answer:

[tex]Ratio = \frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]Small =4in[/tex]

[tex]Large = 9in[/tex]

Required

The scale ratio

From small to big, the scale ratio is:

[tex]Ratio = Big : Small[/tex]

[tex]Ratio = 9in:4in[/tex]

Cancel out the units

[tex]Ratio = 9:4[/tex]

Express as fraction

[tex]Ratio = \frac{9}{4}[/tex]


Related Questions

I'll add a photo of the problem! ​

Answers

Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.

Answers

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry

Answers

Answer:

4 inches taller

Step-by-step explanation:

aaron is 74 inches

Which number does the blue dot represent on the number line?

Answers

it represents C -12
The blue dot represents -12, the line is going forward 3 points and back 3. So each point is worth 3 points. Moving back 4 points equals -12.


Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6

Answers

Answer:

B

Step-by-step explanation:

Have a nice day!

The answer is B since you can add in any order with those numbers

it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?

Answers

Answer:

4 ndays

Step-by-step explanation:

Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1

Answers

Answer:

I KNOW THE ANSWER ITS  5000

Step-by-step explanation:

SUB to sir sir bmgo

a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers

Answers

Answer:

I'm pretty sure this is the answer....

The speakers are $56.

Sorry if i'm wrong. :')

Step-by-step explanation:

Answer:

You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:

0.350 x $160 = $56.00.

So for this sale, you'll save $56.00 on this item.

This means, the cost of the item to you is

$160 - $56.00 = $104.00.

Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).

Now what's 65.000% of the total cost?

0.650 x $160 = $104.00.

Just like the result above, the sale price on the item is $104.00

When eleven is reduced by one-third of a​ number, the result is 5
. Find the number.

Answers

Answer:

18

Step-by-step explanation:

11 - 1/3x = 5

Subtract 11 from both sides

-1/3x = -6

Multiply both sides by -3

x = 18

Use the distributive property to write an expression that is equivalent to 9(c+5

Answers

Answer:

9c+45

Step-by-step explanation:

A competitive cliff diver jumps into
water 81 feet below. The distance d that the diver falls
in t seconds is given by the equation d = 16t^2. How
long does it take the diver to hit the water?

Answers

Answer:

2.25 seconds

Step-by-step explanation

[tex]d=16t^{2}[/tex]

[tex]d=81 feet\\t=?[/tex]

Because you know what distance equals you can plug it into the equation

[tex]81=16t^{2}[/tex]

From there you can solve by dividing the 16 over and then square rooting.

[tex]\frac{81}{16}=t^{2}[/tex]

[tex]5.0625=t^{2}[/tex]

You take the square-root to get rid of [tex]t^{2}[/tex]

[tex]\sqrt{5.0625} =\sqrt{t}^{2}[/tex]

[tex]t=2.25[/tex]

find the missing side.

Answers

no sides are missing !

What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m

Answers

The answer is C for this question

What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

Answers

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

find the volume of the cone. make sure to round

Answers

Answer: 333.29

V= ⅓Bh is how you would do it

25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km

Answers

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?

Answers

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

What is the answer to 1+1 ?​

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Thank you for coming to my TED Talk

Answer:

22

Step-by-step explanation:

Which of the following statements is true about the number [tex]\frac{30}{2}[/tex]?

- It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
- It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
- It is contained in the set of natural numbers, whole numbers, integers , and rational numbers, but it is not contained in the set of irrational numbers.
- It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.

Answers

9514 1404 393

Answer:

  (c)  - It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

Step-by-step explanation:

The improper fraction (a rational number) reduces to 15, a whole number, natural number, and integer. A ratio of integers is never an irrational number.

The best description is the third one:

- It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.

Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =

Answers

Answer:

b

Step-by-step explanation:

Need HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The similarity statement tells you ...

  TR/TP = XZ/XP

  TR = x = TP(XZ/XP) = 12(18/36)

  x = 6

1) A line passes through the points (7,4) and (-5, - 2). Which of the
following equations BEST defines this line?

Answers

Answer:

.5x = y

Step-by-step explanation:

You can find mx by comparing two points on a graph

Someone please help

Answers

Answer:

m= -1

Step-by-step explanation:

PLEASE HELP ASAP
Find the missing side of this right
triangle,
Х
8
16
x = [?]

Answers

Answer:

its is 192 I just took this assignment

Find the measure of angle B.​

Answers

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°

Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?

Answers

Answer:

10 hours

Step-by-step explanation:

290 divided by 29 = 10

check to see if its correct 29 multiple by 10 is 290

How many times can 60 go in 119

Answers

Answer:

answer is 1

Step-by-step explanation:

bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))

A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.

Answers

Answer:

$44104

Step-by-step explanation:

Given data

Cost = $29800

Rate= 4%

Time= 10years

Applying the formula below, we can find the cost after 10 years as

A=P(1+r)^t

A= 29800(1+0.04)^10

A=29800(1.04)^10

A=29800*1.480

A=$44104

Hence the new cost is $44104

evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2​

Answers

Answer:

5. is the answer

Step-by-step explanation:

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Answers

Answer:

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Step-by-step explanation:

Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

This means that the null hypothesis is:

[tex]H_0: p = 0.11[/tex]

And the alternate hypothesis is:

[tex]H_a: p > 0.11[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.11 is tested at the null hypothesis:

This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]

Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.

This means that:

[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]

[tex]z = 3.54[/tex]

Pvalue of the test and decision:

This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.

[tex]z = 3.54[/tex] has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

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