8. If the area of Figure A is 216 square yards, find
the area of Figure B.

8. If The Area Of Figure A Is 216 Square Yards, Findthe Area Of Figure B.

Answers

Answer 1

Step-by-step explanation:

the area is

baseline × height.

remember, 2 lengths are multiplied.

since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.

18 × f = 63

f = 63/18 = 7/2

this factor f applies (as mentioned) to the baseline AND to the height.

therefore, the area changes by f×f = f² = 49/4.

that means the area of the larger figure is

216 × 49/4 = 54 × 49 = 2,646 yd²


Related Questions

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of workers walk or bike to work

Answers

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

P=1/2

q=-1/3

r=1/5


30pqr(p+q+r)/(p+q)(p+r)


Answer -22/7

Answers

Answer:

Given:

[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

What is the domain of the function on the graph? 5 01 4. 3 O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 2 1 + 5 4 3 2 1 1 2 3 4 5 X -21 -3+ -4 J​

Answers

Option (4) all real numbers greater than or equal to -3

Step-by-step explanation:

Domain: Domain of function is defined by the x-values (Input values) on the graph.

Range: Range of a function is defined by the y-values (output values) on the graph.

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.

The domain of the function are all real numbers greater than or equal to -3.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a graph, we need to find domain of the function on the graph,

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Hence, the domain of the function are all real numbers greater than or equal to -3.

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Find the surface area of the prism below.

Answers

Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]

What do we do to both sides of this equation to solve?

5x=20

Question 3 options:

Add 5 to both sides


Subtract 5 from both sides


Multiply both sides by 5


Divide both sides by 5

Answers

Hello there! :)

Answer:

Divide both sides by 5

Step-by-step explanation:

we are given an equation 5x=20.

First, Add 20 to both sides

[tex]\boxed{x=\frac{20}{5} }[/tex]

Then, Divide both sides by 5.

[tex]\boxed{x=4}[/tex]

Divide 20 by 5 to get 4.

And there you go Our answer is Divide by sides by 5.

-Hope this helps

-Have an awesome weekend :)

[tex]-Yuri-[/tex]

there are 56 customer in a shop 24 of them are men the rest of the customer are women find the ratio of the number of men to the number of women in the shop

Answers

Answer:

There are 32 women in the shop.

Solve for x
12
(x + 2)/
B
O 14
O 10
12
06

Answers

Answer:

opposite sides of ||gram are equal and parallel therefore

12=x+2

12-2=x

10=x

pls mark as brainliest

Find the missing length. Round to the nearest tenth, if necessary. A right triangle has legs measuring 8 units and x units and a hypotenuse measuring 21 units.

Answers

Answer:

168

Step-by-step explanation:

Will give 30 points to who answers!

Answers

Step-by-step in this answer is square root is 3
sqrt5/3sqrt15 multiply by sqrt15/sqrt15
sqrt(5x15)/(3x15)=sqrt75/45
sqrt75=sqrt25 x sqrt3= 5sqrt3
5sqrt3/45
=sqrt3/9

Translate this phrase into an algebraic expression.
7 increased by twice Gail's height
Use the variable g to represent Gail's height.

Answers

Answer:

7+2g

Step-by-step explanation:

7 increased by means 7 +

twice Gali's height =2g

everything now becomes 7+2g

what is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0

Answers

Answer:

435

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435

Answer:

the answer is: 435

Step-by-step explanation:

please help urgent math photo attached ​

Answers

Answer:

  K = (-5, 14)

Step-by-step explanation:

For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:

  ax +by +c = 0

Rewriting the given equations, we have ...

  y = 1/2x -1

  x -2y -2 = 0 . . . . . line d

  y = -3x +2

  3x +y -2 = 0 . . . . . line d'

__

A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.

Parallel to d' through A(-1, 2):

  3(x -(-1)) +(y -2) = 0

  3x +y +1 = 0 . . . . . . . . simplify

__

A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.

Perpendicular to d through B(3, -2):

  2(x -3) +(y -(-2)) = 0

  2x +y -4 = 0 . . . . . . . . simplify

__

The solution to this system of equations can be found by subtracting the second equation from the first:

  (3x +y +1) -(2x +y -4) = (0) -(0)

  x +5 = 0

  x = -5

Substituting into the second equation gives ...

  2(-5) +y -4 = 0

  y -14 = 0

  y = 14

The coordinates of point K are ...

  K = (-5, 14)

_____

Additional comment

The general line through the origin ...

  ax +by = 0

can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.

  a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)

__

The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.

According to the image below, which season is about to begin in the southern hemisphere?
O Summer
O Autumn
O Winter
O Spring

Answers

Answer:

Step-by-step explanation:

this would be summer. because i took le test puddin -Love harley

How can you determine which part of the triangle is the base and which is the height?

Answers

The base of a triangle can be any side as long as the height is perpendicular to the base because the height and base will always be perpendicular

Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent

Answers

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

URGENTTTTT
Describe the graph of f(x)=-3(x+1)^2 (x-3) (x-5)^3. Include as much information in your description as possible.

(i will not click on links so dont even try-)

Answers

The graph is not symmetric, and it has no vertical or horizontal asymptotes.

What is coordinate geometry ?

Coordinate geometry is a branch of mathematics that combines algebraic and geometric concepts to study the properties of geometric figures using a coordinate system. It involves representing geometric figures such as points, lines, curves, and shapes in a plane or space using numerical values called coordinates.

According to given information :

The graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a cubic polynomial function with several important characteristics:

Degree: The degree of the function is 7, which means that the graph has 7 x-intercepts.

Symmetry: The function is not symmetric with respect to the y-axis or the origin.

End Behavior: As x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches negative infinity.

Zeros: The function has x-intercepts at x = -1, x = 3, and x = 5. The intercept at x = -1 has a multiplicity of 2, while the intercepts at x = 3 and x = 5 have a multiplicity of 3. This means that the graph touches the x-axis at x = -1 and bounces off at x = 3 and x = 5.

Turning Points: The function has two turning points, one at x = -1 and one at x = 3. The turning point at x = -1 is a local maximum, while the turning point at x = 3 is a local minimum.

Behavior near Zeros: Near each of the x-intercepts, the function changes direction. At x = -1, the function changes from decreasing to increasing. At x = 3 and x = 5, the function changes from increasing to decreasing.

Vertical Asymptotes: The function has no vertical asymptotes.

Horizontal Asymptotes: The function has no horizontal asymptotes.

Intercepts: The y-intercept of the function is at y = 0.

Overall, the graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a complicated cubic polynomial with multiple x-intercepts, turning points, and changing directions near the intercepts.

Therefore, the graph is not symmetric, and it has no vertical or horizontal asymptotes.

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Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?

Answers

Answer: 90

Step-by-step explanation:

add all numbers up:

82+85+89+94+100=450

divide by amount of numbers

450/5=90

Bob is selling raffle tickets. For every 3 tickets, he charges $27 complete the table below showing the number of tickets and the amount Bob charges. (Number of tickets 3 ? 6 ? 9) (charge ($) 27 36 ? 72 ?)​

Answers

3-27 4-36 6-54 8-72 9-81
Those are the number and their corresponding charges. Hope that helps!

Tommy ran 15.4 miles in 7 days. How many miles did Tommy run per day

Answers

Tommy ran 2.2 miles a day.

15.4/7 = 2.2

PLEASE HELP ASAP WILL MARK AS BRAINLIST

93. In 1939 a hamburger sold for 5¢, but a worker would only earn 30¢/h.
If in a later year, a hamburger sells for 85¢, how much would the
worker earn if earnings went up at the same rate?

Answers

Answer:

$5.10/h

Step-by-step explanation:

85/5 = 17

it increased 17 times, so did the worker

.30x17= $5.10

Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error

Answers

Answer:

Step-by-step explanation:

If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8.  Carter misplaced his decimal point.

Remove the largest possible common factor. Check your answer by multiplication. 9x^(4)+15x^(3)-12x
Factor out the greatest common factor.

Answers

Check 9,15,12 we can see the largest possible common factor is 3
Check x^4 , x^3 , x we can see the largest possible common factor is x
Therefore : the answer is
3x( 3x^3+ 5x^2 - 4)

Answer:

[tex]\bold{3x\left(3x^3+5x^2-4\right)}[/tex]

Factor the following

[tex]\hookrightarrow \sf 9x^4+15x^3-12x[/tex]

rewrite the following

[tex]\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x[/tex]

factor out the common term 3(x)

[tex]\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

check for answer through multiplication

[tex]\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

[tex]\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)[/tex]

[tex]\sf \dashrightarrow 9x^4+15x^3-12x[/tex]

Writing Expressions and Equations the product of 6 and 11

Answers

Answer:

The product of 6 and 11 is 66

But what is the reason for this?

The product of two or more numbers is the same as multiplying those numbers together. The product will always be the result.

[tex]6 * 11 = 66~or~66 / 11 = 6[/tex]

Notice how the division problem is just the multiplication problem backwards, for the purpose of better understanding.

Hence, the correct answer is 66

y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points

Answers

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

PLEASE HELP!! 50 POINTS!!

Answers

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

2310

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.

Determine the volume of a rectangular prism if
length = 5 inches
width = 4 inches
height = 4 inches

Answers

Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

You are considering the two different car loans.

Using the payment table, which loan has the lowest monthly payment?

Answers

Answer: Choice A

Loan A has the lower monthly payment

=========================================================

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

------------------

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

--------------------

To summarize, we have these monthly payments

loan A monthly payment =  $348.50loan B monthly payment =  $518.02

Loan A has the lower monthly payment

In the diagram, BD is a diameter of circle A. If the slope of BE is 3/2, what is the slope of BD

Answers

Answer:

Step-by-step explanation:

the slopes are perpendicular

find a slope perpendicular to 3/2

how to find:

change the sign of the slope and flip the fraction

-2/3 is the slope

The slope of BD is -2/3.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

BD is a diameter of circle A. If the slope of BE is 3/2.

We have to find the slope of BD.

According to given question we have

We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have

[tex]m_{2} = -1/m_{1}[/tex]

So, the slope of BD is -2/3.

Therefore, the slope of BD is -2/3.

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Linda deposited $200 in an account earning 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?

Answers

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

what is amount ?

The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.

given

After 1 year, the amount Linda will have is:

200 * 1.05 = $210

After 2 years, the amount Linda will have is:

210 * 1.05 = $220.50

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

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If I gallon = 4 quarts, how many gallons are equal to 108 quarts? Explain Your Answer.​

Answers

Answer:

27

Step-by-step explanation:

108 ÷ 4 = 27

proportion

if 1/x = 4/108

4x = 108

x = 108/4

x = 27

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