The second side of a triangle is 2 times the first side. The third side of a triangle is 6 times the first side. If the perimeter of the triangle is 72 feet, find the length of each side.

Answer:

f(5) = 22

Step-by-step explanation:

Plug in 5 as x into the function:

f(x) = 5x - 3

f(5) = 5(5) - 3

f(5) = 25 - 3

f(5) = 22

Answer:

b. g(x)=|x+3|-1

Step-by-step explanation:

Answer:

Pair of terms

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr^2·h . . . radius r, height h

The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...

  V = π(4 ft)^2·(19 ft) = 304π ft^3

Each cubic foot of gasoline has a mass of ...

  (1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3

Then the total mass in the driver's full tank is ...

  (304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb

__

The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.

The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.

The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.

Answer:

can you please take a picture so i can try to solve it

Step-by-step explanation:

if you do thank you

Answer:

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

look on the attachment i sent

Answer:

how far a line goes up

Step-by-step explanation:

rise/run gives the slope of the line

Answer:

The other 3 vertices would be (10,5) , (5,0) , and (0,5)

Step-by-step explanation:

length (l) =54

breath (b) =72

l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)

(54)²+(72)²=diagonal²

2916+5184=diagonal²

8100=diagonal²

90= diagonal.............(taking square root)

length of diagonal is 90ft

i hope it helps

have a nice day and thanks for asking this question

Answer:

-7π/3 or -420 degrees

Step-by-step explanation:

So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.

The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.

π/2 - π/6

3π/6 - π/6 = 2π/6

π/3

Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3

Answer:

3

Step-by-step explanation:

You have to equate them so...

5v+2=8v-7

I hope this helps you!

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

Answer:

Option C

Step-by-step explanation:

please mark me brainliest and 5 star

Answer:

The 5 is in the tenths place.

Step-by-step explanation:

:)

Answer:

131.6

Step-by-step explanation:

Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.

If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.

Thus, the rounded number would be: 131.6

Answer:

0.834 hours

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = 1/1/5 = 5 hours

For 1/6 mile = 1/6 *5 = 0.834 hours

It will take 0.834 hours to walk 1/6 mile.

Answer: Manuel is flying two kites. He has

102

feet of string out to one kite and

111

feet out to the other kite. The angle between the strings is

36°

as shown in the figure below. Find the distance between the kites

Answer:

-10/2 or -5 for the slope

Step-by-step explanation:

rise over run: it's going down 10 and over 2 or

for every 5 down it goes 1 over

Answer:

The independent variable is the people listed

The dependent variable is three facts each person wrote down.

Answer: after eliminating B due to Hare Method, A will have a total of 67 VOTES

Step-by-step explanation:

Given that;

The results are

ABC : 41

BAC : 26

CAB : 42

NOW

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

C>A>B = 42 ⇒ C has 42 votes

According to Hare method, least votes gainers will be eliminated and once eliminated, his/her/its votes will be transferred to the next choice of person/thing.

based on the question; B will be eliminated

so we have;

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

we eliminate B, the votes are transferred to the next (A)

A>C = 26 ⇒ A has 26 votes

C>A>B = 42 ⇒ C has 42 votes

SO in total

A votes = 41 + 26 = 67 VOTES

Therefore after eliminating B due to Hare Method, A will have a total of 67 VOTES

After eliminating B due to Hare Method, A will have a total of 67 votes

We have given that,the results are

ABC : 41

BAC : 26

CAB : 42

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

C>A>B = 42 ⇒ C has 42 votes

The Hare method is least votes gainers will be eliminated and once eliminated,The  votes will be transferred to the next choice of person/thing.

From the given question we have B will be eliminated

Therefore  we have

A>B>C = 41 ⇒ A has 41 votes

B>A>C = 26 ⇒ B has 26 votes

We eliminate B, the votes are transferred to the next (A)

A>C = 26 ⇒ A has 26 votes

C>A>B = 42 ⇒ C has 42 votes

Therefore the total votes are

A votes = 41 + 26 = 67 votes

Therefore after eliminating B due to Hare Method, A will have a total of 67 votes.

To learn more about the votes visit:

https://brainly.com/question/3710029

Answer:

4

Step-by-step explanation:

Answer:

1) $14,  2) please see explanation below  3) please see explanation below

Step-by-step explanation:

1.

a) about $15-$1

b) Higher, because the estimate lowered the price that is being subtracted.

c) 15-1=14

Pedro has about $14 left over.

2.

a) 3 is the closes because to solve this question you divide 100.8 by 35. The product is 2.88, thus supporting that 3 is the closes answer.

b) 8 is the closes because to solve this question you divide 49.2oz by 6. The product is 8.2.

c) 0.04 is the closes because to solve this question you divide 20 by 0.78, resulting in 0.039.

3.

a) 2.49 times 6 = 14.88

His parents spent $14.88 on goodie bags

b) 150 divided by 8 = 18.75

His parents spent $18.75 per hour for the bounce house.

c) 14.88 + 18.75 = 33.63 and 182.53 - 33.63 = 148.90

His parents spent $148.90 on his birthday party excluding the goodie bags and bounce house

HOPE THIS HELPS <33333

-Silver

Answer:

11/12

Step-by-step explanation:

15/12-4/12= 11/12

Answer:

11/12

Step-by-step explanation:

5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4

15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well

11/12 subtract

Answer:

x(3 – 4)

Step-by-step explanation:

x^3y

/x^4y

get rid of y

x^3/x^4

subtract exponents

x(3 – 4)

Brainliest please ask me if you have more questions.

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

just makes sence I think

Answer:

2.5198421

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

its hard to tell but i think it dilated 5 units

We want to find the scale factor at which QRST is dilated to form Q'R'S'T'

We will find that the scale factor is 2.

In a general dilation, we will see that all the measures change in the same way, by the scale factor.

This means that:

QR*k = Q'R'

RS*k = R'S'

And so on, where k is the scale factor.

Then we can just find one of the equivalent measures in both trapezoids and find the value of k.

For example, we have:

Q'R' = 8

QR = 4

Replacing these on the above equation we get:

4*k = 8

k = 8/4 = 2

k = 2

The scale factor of dilation is 2.

If you want to learn more, you can read:

https://brainly.com/question/14793702