Course challenge
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Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of 4/9
What is the value of X?

Answers

Answer 1

Answer:

x=36

Divide the corresponding side (16) by 4/7

Answer 2

Answer:

x=36

Divide the corresponding side (16) by 4/7

Step-by-step explanation:

x=16×9/4=36


Related Questions

Bill has a farm where he raises pigs and cows. The ratio of cows to total animals on a farm is 5 to 12.
Which number below could be the number of pigs on the farm?
A. 6
B. 20
C. 21
D. 24

Answers

A, because the number has to fit in the ratio, 5+6 is eleven which is below 12,

Faleye Consulting is deciding which of two computer systems to purchase. It can purchase state-of-the-art equipment (System A) for an after-tax cost of $19,000, which will generate after-tax cash flows of $6,000 at the end of each of the next 6 years. Alternatively, the company can purchase equipment with an after-tax cost of $13,000 that can be used for 3 years and will generate after-tax cash flows of $6,000 at the end of each year (System B). If the company’s WACC is 10% and both “projects” can be repeated indefinitely, which system should be chosen, and what is its EAA? Do not round intermediate calculations. Round your answer to the nearest cent.
Choose Project
-Select-
, whose EAA = $

Answers

If Faleye Consulting’s WACC is 10% and both “projects” can be repeated indefinitely, the system that should be chosen is System A, and its EAA is $2,866.91.

What is the EAA of a project?

The EAA of a project is the Equivalent Annual Annuity.  The EAA can be determined using the following formula.

EAA = r x NPV1 - (1 + r)-n

Where the EAA = Equivalent Annual Annuity

r = interest rate per period

n = project duration

NPV = Net present value of project

We can also compute the EAA by using an online finance calculator as follows:

Data and Calculations:

                                                System A        System B

After-tax cost                           $19,000         $13,000

After-tax cash flows                 $6,000           $6,000

Equipment duration                 6 years           3 years

WACC = 10%

Annuity factor                            4.355              2.487

Present value of cash flows $26,130          $14,922 ($6,000 x 2.487)

NPV                                          $7,130           $1,922 ($14,922 - $13,000)

EAA (an online calculator)    $2,866.91        $800.966

Thus, using the EAA rule, the computer system that should be chosen is System A because it has a higher EAA than System B.

Learn more about the equivalent annual annuity at https://brainly.com/question/20566589

What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...

Answers

Answer:

4n-10, Answer is D

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

1) Which two ratios form a proportion?

A) 1: 3 and 6: 3
B) 1: 3 and 3:6
C) 3: 1 and 9: 3
D) 3: 1 and 3:9

Answers

Option C is correct.

Proportion means two ratios are equal to each other.

Option A                                          Option B

1 : 3 and 6 : 3                                              1 : 3 and 3 : 6

1 : 3 and 2 : 1                                               1 : 3 and 1 : 2

not proportional                                       not proportional

Option C                                           Option D

3 : 1 and 9 : 3                                               3 : 1 and 3 : 9

3 : 1 and 3 : 1                                                3 : 1 and 1 : 3

proportional                                               not proportional

Dan and George share 18
is in the ratio 1:2
How many bananas does Dan get?

Answers

Dan gets 6 bananas and George gets 12 bananas

hope it helps...!!!

Dan got 6 bananas and George got 12 bananas

Can you guys please help answer these 2 questions!

Answers

Answer:

3216

hope it can help you

brainliest pls

Maya mailed 3 packages. their weights were 4.5 lbs,2.75 lbs,and 3.4 lbs.
what was the total weight of the 3 packages.
question 2 is explain how u found the answer to the first question (only answer if you know the answer)​

Answers

The total weight was 10.65

Explanation: Since there is only one number in the hundredth place, i didn’t need to add. Instead i put that number as my hundredth place AKA 5. then i added the tenth place which was 5+7+4 which = 16. i carried the one over. then i added the ones place. 4+2+3= 9. the one i carried over got added to the 9. therefore my final answer was 10.65

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

PQ = 15M = (8.5, 8)

Step-by-step explanation:

Given points P(4, 2) and Q(13, 14), you want the length of PQ and its midpoint.

(a) Length

The length of PQ is given by the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = ((13 -4)² +(14 -2)²) = √(9² +12²) = √225

  d = 15

The length of PQ is 15 units.

(b) Midpoint

The midpoint is halfway between the end points. It is conveniently found as the average of the coordinates of the end points.

  M = (P +Q)/2

  M = ((4, 2) +(13, 14))/2 = (4+13, 2+14)/2 = (17, 16)/2

  M = (8.5, 8)

The midpoint of PQ is M(8.5, 8).

__

Additional comment

The length of PQ is the hypotenuse of a right triangle with side lengths 9 and 12 units. You recognize this ratio as 3:4, so the triangle is a 3-4-5 right triangle, scaled up by a factor of 3. The length PQ is 3·5 = 15.

{3, 4, 5} is one of several Pythagorean triples commonly seen in textbook problems. Others include {5, 12, 13}, {7, 24, 25}, {8, 15, 17}.

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At a hardware store 5 hammers and 7 packs of nails costs 62.25 and at the same store, 8 hammers and 3 packs of nails costs 82.30 How much is one hammer and one pack of nails ?

Answers

Orange juice math orange

7) Find x- intercepts

Answers

Answer:

See below:

Step-by-step explanation:

At x axis intercepts, the value of y = 0

0 = -3/5 ( x+7)^2   + 6

-6(-5/3) =   (x+7)^2

 10 = (x+7)^2

x =  -7 +- sqrt (10)

   

Answer:

[tex] x = -7 \pm \sqrt{10 [/tex]

Step-by-step explanation:

The x-intercepts occur where y = 0.

-3/5(x + 7)² + 6 = 0

-3(x + 7)² + 30 = 0

-3(x² + 14x + 49) + 30 = 0

-3x² - 42x - 147 + 30 = 0

3x² + 42x + 117 = 0

[tex] x = \dfrac{-42 \pm \sqrt{42^2 - 4(3)(117)}}{2(3)} [/tex]

[tex] x = \dfrac{-42 \pm \sqrt{360}}{6} [/tex]

[tex] x = \dfrac{-42 \pm 6\sqrt{10}}{6} [/tex]

[tex] x = -7 \pm \sqrt{10 [/tex]

What is the length of the indicated side?

Answers

Answer:

Step-by-step explanation:

y varies directly as x. y=96 when x=8. find y when x=10

simplify answers if applicable

Answers

96/8=12
That is the number you multiply x to, to get y.
So multiply 12 by 10 and you get 120 for y.

You also know this because if you do x=0, y=12. Y is [x times 12].

Solve |2x+5| =15

I need to pass this class, if anyone is interested in helping me with 2 math classes please message me. I need to have them done by may 6th in order to graduate high school. Thank y’all so much!

Answers

Answer:

The answer is x=3 and the extraneous is x=-1

Step-by-step explanation:

Paul wants to order flowers for Mother’s Day and can choose any number of roses and lilies for his mother’s flower arrangement. He has a maximum of $50 to spend. Each stem of lilies costs $3.00, and roses cost $3.50 each. Which inequality represents the situation? Let the number of lilies = x and the number of roses = y.

A. 3.50x - 3y ≥ 50
B. 3x + 3.50y ≤ 50
C. 3x + 50y < 50
D. 3x - 3.50y > 50

Answers

Answer:

b

Step-by-step explanation:

it has to add the two cost of the flowers and it has to be less than or equal to 50 dollars

The height of a projectile that is thrown upward from ground level with an initial velocity of 98 meters per second can be modeled by the equation h = −4.9t2 + 98t, where h is the height in meters and t is the elapsed time in seconds. Find the time it takes for the projectile to hit the ground.
10 seconds
20 seconds
15 seconds
5 seconds

Answers

It is found that the time it takes for the projectile to hit the ground would be after 20 seconds.

When does the projectile hit the ground?

The projectile would hit the ground when its height h(t), is equal to zero.

The given function that models its height is given by:

[tex]h(t) = -4.9t^2 + 98t.[/tex]

where h is the height in meters and t is the elapsed time in seconds.

Then,

h(t) = 0

[tex]-4.9t^2 + 98t = 0\\-4.9t(t - 20) = 0\\\\t - 20 = 0[/tex]

t = 20

Thus, The projectile hits the ground after 20 seconds.

Learn more about projectile here;

https://brainly.com/question/11422992

#SPJ1

What is the value of 21

Answers

Answer:

Absolute value is the magnitude of a real number regardless of sign. When you take the absolute value of something, it is the positive value of the number being evaluated

|21| = 21

also...

|−21| = 21

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

What is the formula for the Pythagorean theorem?

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

a^2 + b^2 = c^2

Answer:

[tex]\Longrightarrow: \boxed{\sf{A^2+B^2=C^2}}[/tex]

Step-by-step explanation:

In the Pythagorean theorem, the formula is:

[tex]\underline{\text{PYTHAGOREAN THEOREM FORMULA:}}}[/tex]

[tex]\Longrightarrow: \sf{A^2+B^2=C^2}[/tex]

Thus, the Pythagorean theorem's formula is "a²+b²=c²".

I hope this helps. Let me know if you have any questions.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual
park is 280 yards long. What is the approximate area of the actual park, in square
yards?

Answers

56000 is the actual park in square yards.

In factored form please help

Answers

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{3x^2-3}{x^2-5x+4}[/tex] ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

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

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

[tex]\frac{3x^2-3}{x^2-5x+4}[/tex] = [tex]\frac{3(x-1)(x+1)}{(x-1)(x-4)}[/tex] ← in factored form

What is the value of w?

Answers

Answer:

29.3 degrees

Step-by-step explanation:

90 - 60.7 = 29.3 degrees

How many years will it take an account to double in value, assuming a 5.2% interest rate compounded quarterly? Round your answer to the nearest tenth.​

Answers

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years.

How to determine the doubling time of money account

The compound interest takes into account the change of money deposited in time in contrast with the simple interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.

The compound interest formula is described below:

C = C' · (1 + r/100)ⁿ     (1)

Where:

r - Interest raten - Number of periodsC' - Initial money amountC - Current money amount

If we know that C = 2 · C' and r = 5.2, then the doubling time is:

n = /㏒ C/C'/㏒ (1 + r/100)

n = ㏒ 2/㏒ 1.052

n ≈ 13.674

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years. [tex]\blacksquare[/tex]

To learn more on compound interests, we kindly invite to check this verified question: https://brainly.com/question/14295570

F is the velocity field of a fluid flowing through a region in space. Find the flow along the given curve in the direction of increasing t. F = (z-x)i + xk r(t) = (sin t)i + (Cost) k, 0 <= t <= 2π​

Answers

Answer: 177.65

Step-by-step explanation:

its the only accurate  answer.........

Pls help WILL GIVE BRAINLIST
A person looking out a window, 40 feet above street level can sight the top and

bottom of the building. The angle of elevation to the top of the building is 61 degrees and the angle

f depression to the bottom of the building is 37 degrees. How tall is the building that the person is looking at

Answers

Answer:

135.94 feet

Step-by-step explanation:

Split the problem into two parts :

Distance between viewer and buildingHeight of the top part of the building

Distance between viewer and building

The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street levelLet the distance be called 'd'Therefore, tan37° = 40/dtan37° = 3/4 = 0.75⇒ 40/d = 0.75⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

Height of the top part of the building

Let the height of the top part be 'h'Therefore, tan61° = h/d = h/53.3tan61° = 1.8⇒ h/53.3 = 1.8⇒ h = 53.3 x 1.8 = 95.94 feet

Total height of building

Lower part + Top part40 + 95.94135.94 feet

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

sinA = 9/41ratio = 9:41

Step-by-step explanation:

sin theta = opposite/ hypotenuse

ac = adjacent

ab = hypotenuse

cb = opposite

= cb/ab

= 9/41

ratio = 9:41

HAVE A NICE DAY

STAY SAFE

if this is the answer then pls give BRAINLIST

Answer:

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs "combining dot above" and "combining dot below" which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

I NEED HELP PLEASE MATH
MATH MATH

Answers

Answer:

write a number for t and f

Step-by-step explanation:

Answer:

Cant See

Step-by-step explanation:

Please take a clearer version of this image.

Find the missing dimension of the triangle.
1.5 in. base
Area = 2 in. squared
h = ? in.

Answers

Answer:

Fraction form:

h = 4/1.5 in

Decimal form:

2.667 in

Step-by-step explanation:

I've attached my work

The formula use is usually use to find the area of a triangle but allowed us to work backward after inputing given values

Hope it helps, Let me know if yoy have any more questions/concerns !

Have a nice rest of your day :)

What is the equation of the line that is parallel to the graph of y = 2x - 5 and passes through the point (4,2)?

Answers

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A line parallel to another will have the same gradientSo the equation will be [tex]y=2x+c[/tex]We need to find out what c is, so substitute in the values for x and y[tex]2=2\times 4 + c[/tex][tex]2=8+c[/tex][tex]c=2-8=-6[/tex]So your equation is [tex]y=2x-6[/tex]!

Answer:

2x-6

Step-by-step explanation:

Have a good day!

find the value of W

Answers

Answer:

answer is equal to 73 degrees

If you get 1620 products every 30 seconds, how much would you get in 60 minutes?

Also,

If you get 450 products every 7 seconds, how many would you get in 60 minutes?

Answers

Answer:

Step-by-step explanation:

Here,

→We get 1620 products every 30 seconds

→We get 1620/30=54 products in every 1 second

→We get 54×60=3240 products in every 60 seconds(1 minute)

As we have

60seconds=1min

60 minutes=60 seconds ×60

Now,

→We get 3240×60=194400 products in every 60 minutes

Also,

→We get 450 products every 7 seconds

→We get 450/7=64.28 products in every 1 second

→We get 64.28×60 products in every 60 seconds

→We get 3856.8×60=231408 products in 60 minutes

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