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​Triangle A′B′C′​ is a dilation of ​triangle ABC​ .


What is the scale factor?

Enter your answer in the box.

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

Answer:

a = 72

Step-by-step explanation:

the sum of a four-sided polygon's angles equal 360°

so you can add all four angles together and set them equal to 360

a + a + a + 2a = 360

5a + 360

a = 360/5

a = 72

There are four angles in a kite.

The value of a to make the shape a kite is [tex]72^o[/tex].

The sum of angles in a kite is [tex]360^o[/tex]

So, we have:

[tex]a + a + a + 2a = 360^o[/tex]

Add like terms

[tex]5a = 360^o[/tex]

Divide both sides by 5

[tex]a = 72^o[/tex]

Hence, the value of a is [tex]72^o[/tex]

Read more about kites at:

https://brainly.com/question/4350272

Answer:

A-219.75

Step-by-step explanation:

Answer:

$219.75

Step-by-step explanation:

The profit is the difference between the income and costs, which in this example would be $345.25 - $125.50 = $219.75

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8

Answer:

its c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

hope this helps!

Answer:

46

Step-by-step explanation:

AC = 2FD

CE = 2BF

AE = 2BD

2FD + 2BF + 2BD = 2(FD + BF + BD) = AC + CE + AE

2[tex]P_{FBD}[/tex] = [tex]P_{ACE}[/tex] ⇒ [tex]P_{FBD}[/tex] = [tex]\frac{1}{2}[/tex] [tex]P_{ACE}[/tex]

[tex]P_{FBD}[/tex] = 92 ÷ 2 = 46 units

Answer:

Although no list of cars was given, you find the top five that I can recommend

Step-by-step explanation:

Kindly note that no sufficient data/information was provided, however, as a way forward to answer this question you can look up the list of  five cars with great miles per gallons

1. Honda Civic

   Engine Type: Gas, Hybrid

   MPG: Up to 35 MPG mixed city/highway for gasoline, 40-50% higher in    

   hybrid engine

   Body Styles: Coupe, Sedan, Hatchback

2. Hyundai Elantra

  Engine Type: Gas, Hybrid

  MPG: Up to 36 MPG mixed city/highway

  Body Styles: Sedan

3. Nissan Altima

   Engine Type: Gas

   MPG: Up to 34 MPG mixed city/highway

   Body Styles: Sedan

4. Toyota Corolla

    Engine Type: Gas

     MPG: Up to 34 MPG mixed city/highway

    Body Styles: Sedan

5. Honda Accord

    Engine Type: Gas, Hybrid

    MPG: Up to 31 MPG mixed city/highway for gasoline, up to 48 MPG for    

     hybrid

    Body Styles: Sedan, Coupe

Answer:

9 miles

Step-by-step explanation:

Given that :

Given that:

On map:

5cm = 2 miles

If a map trail = 22.5cm

Length of trail in real life :

(22.5 cm / 5cm) * 2miles

4.5 * 2 miles = 9 miles

The trail is 9 miles in real life

Can you please show the triangle?

Answer:

The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.

Step-by-step explanation:

i hope this helps :))

Answer :

Radio = 2000

Bike = 5000

Hope this helps u

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

Answer:

c

Step-by-step explanation:

Answer:

The answer is C. She saves $150 every month

Step-by-step explanation:

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

Answer:   A≈47791.31

Step-by-step explanation:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

​

)

nt

Compound interest formula

P

=

25000

r

=

0.036

t

=

18

n

=

365

P=25000r=0.036t=18n=365

Given values

A

=

25000

(

1

+

0.036

365

)

365

(

18

)

A=25000(1+

365

0.036

​

)

365(18)

Plug in values

A

=

25000

(

1.0000986301

)

6570

A=25000(1.0000986301)

6570

Simplify

A

=

47791.3122461

A=47791.3122461

Use calculator

A

≈

47791.31

A≈47791.31

The amount after 18 years will be $47,791

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.

A = P(1+r/365)^n*365

A = 25000(1+0.00009863)^6570

A = 25000(1.00009863)^6570

A = 47,791

Hence, The amount after 18 years will be $47,791

For more references on compound interest, click;

https://brainly.com/question/14295570

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Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

Answer:

Step-by-step explanation:

ans is -35/4.

Answer:

[A]first manufacturing plant produce =5x+14 items

se

[B]second manufacturing plant produce=3x-5

now

difference=A-B=5x+14-{3x-5}=5x+14-3x+5=2x+19

The first plant produces 2x+19 more items daily than the second plant.

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

Answer:

132 degrees

Step-by-step explanation:

its asking for angle r, right? the degrees they give you is across from the needed angle. in class alone that would give you the answer, but since a line is 180 degrees, 180 minus 132 is 48 degrees, 48 plus a unknown angle(r) is 180. hence 132

Answer:

My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c

Step-by-step explanation:

Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.

So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]

= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]

= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.

So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]

= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]

= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4

So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

your welcome

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

Credit to the guy above.

Answer:

C. 2x^3 - 7x^2 + 6x - 9

Step-by-step explanation:

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

Answer:

a. y = x/6 b. 3 heads of lettuce

Step-by-step explanation:

a. Write an algebraic expression Gio could use to determine how much lettuce he needs

Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x

= x/6

b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Since 18 guest come to the party, x = 6. So, y = x/6

= 18/6

= 3 heads of lettuce.