Two parallelograms are similar. The base of the first is 12cm, and its height is 8 cm. Find the base of the second parallelogram if its height is 34 cm.

Answers

Answer 1

Answer:

The base of the second parallelogram is 51cm.

Step-by-step explanation:

If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:

[tex]\frac{34}{8}=4.25[/tex]

Apply this same scale factor to the base of the first shape to find the base of the second:

[tex]12 \times 4.25=51[/tex]


Related Questions

Chen bikes 212 miles in 512 hour. What is Chen’s unit rate in miles per hour

Answers

Answer:

Unit rate = 0.414 mph

Step-by-step explanation:

Distance travelled = 212 miles

Time taken = 512 hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{212}{512} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)[/tex]

Answer:

53/128 mph

Step-by-step explanation:

Unit rate is essentially just asking for the number of miles Chen can bike in only 1 hour. That's what "unit" means - 1.

Here, we know that Chen can bike 212 miles in 512 hours, so let's set up a proportion:

[tex]\frac{212mi}{512hr} =\frac{x}{1hr}[/tex] , where x is the number of miles Chen can bike in 1 hour

Cross multiply:

512x = 212

Divide by 512:

x = 212 / 512 = 53/128 miles

So, Chen's unit rate is 53/128 mph.

shop sells pencils in packs and in boxes. There are 4 pencils in a pack and 12 pencils in a box. Lola buys d packs of pencils. (a) Write down an expression, in terms of d, for the number of pencils Lola buys. (1) Rory buys x packs of pencils and y boxes of pencils. (b) Write down an expression, in terms of x and y, for the total number of pencils Rory buys.

Answers

Answer:

(a) 4d

(b) 4x+12y

Step-by-step explanation:

If there are 4 pencils in a pack and she buys d packs, the amount of pencils she gets is 4*d, or 4d. The same principle goes for (b). Hope this helps!

What’s - 46.15 as a mixed number

Answers

Answer: -46 15/100

Explanation: (see pic attached)

Answer:

46 3/20

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

46.15=46.15/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100

46.15/1 x 100/100= 4615/100

Find the Greatest Common Factor (GCF) of 4615 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5

4615/100 divided by 5/5= 923/20

Simplify the improper fraction

46 3/20

In conclusion

46.15= 46 3/20

I hope that helped ;)

plz answer this step by step thank you x^2 + 15x + 56

Answers

Answer:

(x + 7)(x + 8)

Step-by-step explanation:

[tex] {x}^{2} + 15x + 56 \\ = {x}^{2} + 8x + 7x + 56 \\ = {x}(x + 8) + 7(x + 8) \\ = \huge \red{ \boxed{ (x + 8)(x + 7)}}[/tex]

Find the midpoint of a line segment starting from the origin and ending at (–8, 0).
Question 6 options:

A)

(0, 0)

B)

(–16, 0)

C)

(0, –4)

D)

(–4, 0)

Answers

Answer:

Option D

-4, 0

Step-by-step explanation:

We will first of all identify the coordinates we are dealing with here.

The coordinates for this question (x,y)  are: (0,0) and (-8,0)

The next thing we will do is get the formula for finding mid points of line segments.

This is [tex](\frac{x_{1}+x_{2}}{2}, )(\frac{y_{1}+y_{2}}{2}, )[/tex]

Next we will substitute the values of x 1 ,x 2, y 1, and y 2 into the equation.

We will have

[tex](\frac{0+(-8)}{2}, )(\frac{0+0}{2}, )=(-4, 0)[/tex]

Hence the coordinates of the midpoint is (-4,0)

If one person makes 18 dollars in 2 hours and the other makes 36 dollars in 3 hours who makes more money per hour??

Answers

Answer:

the second person because they make 12 an hour and the first person only makes 9 an hour

Step-by-step explanation:

Write down the value of of
(square root of 49)

Work out the value of
5^³

Answers

Square root of 49 is 7
5 to the power of three is 125

Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this?

Answers

Answer:

5%

Step-by-step explanation:

We know that when there are four people, then each person gets 25% of the halwa. However, when the fifth person comes, they have everyone including the guest get 20% of the halwa. In this way, the original four people are losing 5% of their halwa in order for the fifth person to get his piece

Which of the following side lengths would make a right triangle? )there is only ONE answer)
A) 3, 4, 6
B)6, 9, 22
C)8, 34, 36
D)7, 24, 25

PLS HELP WILL GIVE BRANLIEST, EXTRA POINTS!!

Answers

Answer:

D) 7, 24, 25

Step-by-step explanation:

It's a Pythagorean triple.

which function has a greater y-intercept? f(x)=2x^2-6x+4

a. f has a greater y-intercept than g.

b. g has a greater y-intercept than f.

c. f and g share the same y-intercept.

Answers

Answer:a. f has a greater y- intercept than g

Step-by-step explanation:

another one hhh i must know

Answers

Answer:

35 degrees.

Step-by-step explanation:

Angle DGC and AGB are vertical angles. Therefore AGB is 90 degrees.

180 - (90 + 55) = 35 degrees.

What is the volume of a cylinder with base radius 2 22 and height 9 99? Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer: 44[tex]\pi[/tex]

Step-by-step explanation:

khan academy

The volume of a given cylinder is 113.04 cubic units.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a cylinder with base radius 2 units and height units.

We know that, the volume of a cylinder is πr²h.

Now, volume = 3.14×2²×9

= 113.04 cubic units

Therefore, the volume of a given cylinder is 113.04 cubic units.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

what is the length of a hypotenuse triangle with two 45 degree angles, one 90 degree angle, and two side lengths of 3 times the square root of 2?​

Answers

Answer:

4.24

Step-by-step explanation:

remember a² + b² = c²

(3*(sqrt(2))² + (3*(sqrt(2))² = 18

this would be c²

square root of this is c = 4.2426...

Jerry is making trail mix for his camping trip. He has 400 grams of peanuts, 350 grams of raisins, and 785 grams of pretzels. He wants to make 2 kilograms of trail mix.

How many more grams of ingredients does he need to add to the mix?

Answers

Jerry needs 465 grams more of ingredients to add to the mix.

How to do it ? plz answer it..​

Answers

I hope you understand....

You placed each of these cards in a brown paper bag and randomly select one and then record your results. After each selection, you place it back in the bag and select another. You do this for a total of 50 times and your results are: 6 times you picked the ace, 14 times you picked the 2, 13 times you picked the 3, 4 times you picked the 4, and 13 times you picked the 5. After looking at your results, what is the experimental probability of selecting the 4? Hint: You may have to reduce. *

Answers

Answer:

The experimenta probability of picking a 4 is [tex]\frac{4}{50}[/tex]

Step-by-step explanation:

To determine the experimental probability, we just need to divide the number of observations of the specific event by the total number of trials. In this case, we are interested in the event "picking a 4 card". This event happened 4 times. We have a total number of trials of 50. So , the experimental probability is

[tex]\frac{4}{50}[/tex]

A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: 5.22kg

Step-by-step explanation:

From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:

Total kilograms sold = 8.7kg

Fraction of pears weight = 2/5

Pears kilograms sold = 2/5 × 8.7

= 0.4 × 8.7

= 3.48kg

Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:

= 8.7kg - 3.48kg

= 5.22kg

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.

Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.

Jose also has to state that


please help!!!!!!

Answers

Answer:

A on Edg.

Step-by-step explanation:

Took the Test

Answer:

<A is congruent to <A

Step-by-step explanation:

<A is in both triangle and it can be equal to itself because of the reflexive property.

70 = -7 k solve the equations

Answers

Answer:

-10

Step-by-step explanation:

70= -7k

70 -7k

-- --

-7 -7

-10=k

Have a great day

Answer:

k= -10

Step-by-step explanation:

70= -7k

Divide both sides by -7

-7k/-7 = 70/7

Simplify

k=-10

A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?

Answers

Answer:

Each biker gets 3 19/32 of the mix.

Step-by-step explanation:

In the questions, we are told that a trail mix consist

7 3/4 oz of sunflower seeds,

9 1/4 oz of raisins

4 1/4 oz of walnuts

7 1/2 oz of soybeans

Step 1

Add up every element in the trail mix

We have are given mixed numbers which is made up of whole number and a proper fraction

7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz

So we add up the whole numbers first

27 + ( 3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)

Next, We find the lowest common multiple of the denominators of the proper fractions which is 4

= 27 + ((3×1) + (1×1) + (1×1) +(1×2)/4)

27 + (3+1+1+2) / 4

27 + 7/4

27 + 1 3/4

27 + 1 + 3/4

Total mix = 28 3/4

Step 2

If the mix is split equally between eight hikers, how much would each one get?

We would convert 28 3/4 into an improper fraction and divide it by 8 bikers

115/4 ÷ 8

115/ 4 × 1/8

= 115/32

Turning it into a mixed fraction, we have:

3 19/32

Therefore, each biker gets 3 19/32 of the mix.

write an expression that shows 7 times the quantity of 52 more than 6

Answers

Answer:

7·52≥6          dont do the line under the more than sign i couldnt find the symbol without the line and the dot means multiplying PLEASE MARK THE BRAINLIEST

Expressions can be represented as equations or inequalities or neither.

The required expression is: 7 * 52 - 6

7 times the quantity of 52 means 7 * 52

More than 6 means we subtract 6 from 7 * 52

So, we have:

7 * 52 - 6

Hence, the expression that shows 7 times the quantity of 52 more than 6 is: 7 * 52 - 6

Read more about expressions at:

https://brainly.com/question/8846535

The function y=-16x^2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret the x - and y -intercepts.

Answers

Answer:

292

Step-by-step explanation:

I don't know if it's correct but You need to learn pemdas

Btw I did this menatlly

Ali and Felicia analyzed the patterns of equivalent ratios for StartFraction 3 Over 8 EndFraction in the table below.

A multiplication table. In the column labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27 are highlighted. In the column labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.

The table below summarizes the method that each person used to write equivalent ratios for StartFraction 3 Over 8 EndFraction.

Step 1: Step 2: First ratio Step 3: Second ratio
Ali Extend the table to column 16. Pick a row. Write a ratio comparing a number in column 6 to a number in column 16. Pick a different row. Write a ratio comparing a number in column 6 to a number in column 16.
Felicia Extend the table to column 24. Pick a row. Write a ratio comparing a number in column 9 to a number in column 24. Pick a different row. Write a ratio comparing a number in column 9 to a number in column 24.

Which person has a pattern of equivalent ratios for StartFraction 3 Over 8 EndFraction?
Ali only
Felicia only
both Ali and Felicia
neither Ali nor Felicia

Answers

Answer:

Your answer would be c! Have a WONDERFUL DAY!! <3

Step-by-step explanation:

Answer:IT'S C LISTEN TO HER/HIM FOR CHRIST SAKES

Step-by-step explanation:Pls mark me brainliest

what do you add to 2/9 to make it a whole

Answers

Answer:

7/9

Step-by-step explanation:

9/9 = 1 whole

2+7 = 9

Answer:

7/9

Step-by-step explanation:

1 Whole = 1/1

2/9 + 7/9 = 1/1

or

1/1 - 2/9 = 7/9

Which is the graph of x^2/9 + y^2/4 = 1

Answers

Answer:

Step-by-step explanation:

it is an ellipse.

The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.

What is an ellipse?

An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.

The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:

(x²/3²) + (y²/2²) = 1

The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.

The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.

Therefore, the characteristic of the given ellipse is:

a²- b² = 9 - 4 = 5

So the characteristic of the ellipse is 5.

To learn more about the ellipse;

https://brainly.com/question/19507943

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please help me find this equation :)

Answers

It's -16 just use the app socratic
The answer would be x=-16
2/3 x+1 = 1/6 x-7
4x+6=x-42
Multiply both sides by six to get whole numbers it makes it easier to work with.
3x=-48
Then move the x to the left of the equation away from the other numbered
X=-16
Finally divide both sides by 3 to get x alone and the answer

15 POINTS!!
A scale drawing of a living room is shown below. The scale used to create this drawing is 1 in. = 2 ft. What is the actual area of the living room?

Answers

The correct answer is 12

what are 2 binomials that are factors of this trinomial? x^2-x-20

Answers

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2 -x -20

What two terms multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

Answer:

[tex](x + 4)(x - 5)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - x - 20 \\ {x}^{2} - 5x + 4x - 20 \\ x(x - 5) + 4(x - 5) \\ (x + 4)(x - 5)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry

Answers

Answer:153.9 cm

Step-by-step explanation:

The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9

153.9
U multiply the radius times pi times radius

A new car has a sticker price of $25,550, while the invoice price paid on it was
$19,990. What is the percent amount of markup?

Answers

Answer: 27.81%

Step-by-step explanation:

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