A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?

Answer:

176.7 in²

Step-by-step explanation:

The formula for the area of a circle is πr².

But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.

Here the diameter is 15 in. Divide the diameter by 2 to get the radius.

r = 15 ÷ 2 = 7.5 in

Now plug the radius into the formula and solve for the area.

A = πr²

A = π(7.5)²

A = π(56.25)

A = 176.7145868 ⇒ 176.7 in²

Hope that helps.

Answer:

Answer is 10:15:35

Step-by-step explanation:

Let the ratio be 2x,3x,7x

then according to question;

2x+3x+7x=60

12x=60

x=5

now put value of x in the ratios

2x=2x5

=10

3x=3x5

=15

7x=7x5

=35

thus,weight of three bags are 10:15:35

I hope it's helpful!

9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

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

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  [tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]

Answer:

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37

Answer:

2

Step-by-step explanation:

Answer:

2/1......................

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]

Dividing both sides by 1.08

[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]

Hence,

The actual pressure is 36.50

Answer:

the fourth option: cannot be determined

Step-by-step explanation:

So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.

The second option is the same as 2.3 times 21 and again its incorrect.

the third option  

the fourth option has the same outcome because the fractions are equal.

therefore it cannot be determined

Answer:

[tex] \sqrt{13} [/tex]

in decimal form is 3.60555127

Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.

Step-by-step explanation:

The scale factor is 8:6 which can be simplified to 4:3.

The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:

4:3 = 3:x

4x = 9

x = 9/4

4:3 = 4:y

y = 3

4:3 = 5: z

4z = 15

z = 15/4

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that [tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the Solve for  hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

[tex]c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

hence, the given expression is equal to 10, when n = 7

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.

Answer: 4.8

Step-by-step explanation:

Answer:

The slope of line 1 is: 2

Does line one have a negative of positive slope: Positive

The slope of line 2 is: -1/2

Does line two have a negative of positive slope: Negative

Answer: 9:4

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

9/7

Hope it helped you.

Please mark me brainliest.

Answer:

Two segments are congruent if and only if they have the same measure.

Step-by-step explanation:

Because they have the same measurement which means that they are congruent if they have the same measure.

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Answer:

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have points (1,6) and (2,2)

Slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]

The equation of line will be:

[tex]y=mx+b\\y=-2x+11[/tex]

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]

The equation of line will be:

[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )

Step-by-step explanation:

Answer:

5=135

7=45

Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.

Answer:

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(t) = t² - 2

h(t) = t + 4

To determine

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]

Using the formula

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]

In order to determine g(h(-4)), first we need to determine h(-4), so

substituting t = -4 in h(t) = t + 4

h(t) = t + 4

h(-4) = -4 + 4

h(-4) = 0

so we can write

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]

now, to determine g(0), substitute t = 0 in g(t) = t² - 2v

g(t) = t² - 2

g(0) = (0)² - 2

g(0) = 0 - 2

g(0) = -2

so, finally we get

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]

Therefore,

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Answer:

The equation of the line that passes through points is m = 6/4

Step-by-step explanation: sorry if this is wrong

Answer:

773,917

Step-by-step explanation:

I will assume it will be a compound interest:

To solve any compound interest problems, use the formula (P x e)^r x t

P = Principal amount

e is Euler's number can be found on your calculator

r = rate

t = time  

so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)

Answer:

pop after 11 years will be 772,000

Step-by-step explanation:

P = initial population · [tex]e^{(.06)(11)}[/tex]     e = Eulers number which is approx 2.7

P = 400,000 · [tex]2.7^{0.66}[/tex]

P = 400,000 · 1.93

P = 772,000

Answer:

(-0.67412648,-047682599)

Step-by-step explanation:

Answer: 82.3 g

Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

Moles Zn = 4/15(4.72) = 1.26 moles

mass Zn = 1.26 moles x 65.38 g/mol =