Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.

Answer:

[tex]471\:\mathrm{ft}[/tex]

Step-by-step explanation:

In one full rotation around the roundabout, the car is travelling a distance equal to the circumference, or the perimeter, of the circle. The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2r\pi[/tex]. In the diagram, the diameter is labelled 150 feet. By definition, the radius of a circle is exactly half of the diameter of the circle. Therefore, the radius must be [tex]\frac{150}{2}=75[/tex] feet. Thus, the car would travel [tex]2\cdot 75\cdot \pi=471.238898038=\boxed{471\:\mathrm{ft}}[/tex]

Hey buddy I am here to help!

Area of flower bed = 3 x 2 = 6ft

1 ft = 30.48cm

6 x 30.48 = 182.88cm2

Answer:

answer is --10 pls make me brainlest

Answer:

9x + 5= 32

9x=27

x=3

Answer: 70 mph

Step-by-step explanation:

Given

A man leaves the town of Elmsville at 8:00 am and reach oak city at 3 Pm

Rate of driving is 50 miles per hour

time taken by man [tex]t=7\ hr[/tex]

Woman leaves 2 hour later and reach by 3 Pm, so time taken is [tex]5\ hr[/tex]

Distance traveled by both the person is same

[tex]\therefore 50\times 7=v\times 5\quad[v=\text{rate of woman}]\\\\\Rightarrow v=\dfrac{50\times 7}{5}\\\\\Rightarrow v=70\ mph[/tex]

Thus , the rate of woman is 70 miles per hour.

Answer:

(x+1)^3=x^3+3x^2+3x+1

Answer:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

Step-by-step explanation:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]

Given:

The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

To find:

The distance between given points.

Solution:

Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

[tex]\text{Perpendicular}=y_2-y_1[/tex]

[tex]\text{Base}=x_2-x_1[/tex]

Using Pythagoras theorem,

[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Taking square root on both sides, we get

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]        [Distance is always positive]

Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.

Answer:

188.5)

Step-by-step explanation:

2 x 3.14 x 4 x 3.5 + 2 x 3.14 x 4 x 2

=2πrh+2πr2

Note:

Pls notify me if my answer is correct for the other users that will see this response.

-kiniwih426

Answer:

10

Step-by-step explanation:

Given the following

<X = 60°

I = 90°

IX = 5(Adjacent)

Required

SX (HYPOTENUSE

According to SOH CAH TOA

Cos theta = adj/hyp

Cos 60 = 5/SX

SX = 5/cos 60

SX = 5/(1/2).

SX =5×2

SX = 10

Answer:

Y = -0.3587+0.09118X

92 %

Step-by-step explanation:

Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :

Ŷ = -0.3587+0.09118X

Where, x = test score ; y = hours of sleep

To obtain the test score of a student who sleep foe 8 hours using the model :

Y = 8

Ŷ = -0.3587+0.09118X

8 = -0.3587+0.09118X

8 + 0.3587 =0.09118X

8.3587 = 0.09118X

X = 8.3587 / 0.09118

X = 91.672515

X = 92 ( approximately)

Answer:

33

Step-by-step explanation:

Answer:

kjhgfdcxcfvghj

Step-by-step explanation:

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

QUESTION:- WHICH FRACTION IS THE RECIPROCAL OF [tex] \frac{4}{3}[/tex]

[tex]RECIPROCAL = \frac{3}{4} [/tex]

Answer:

C

Step-by-step explanation:

The graph of the absolute value function y = | x | has its vertex at the origin and has the shape V

The graph here is the absolute value translated vertically 3 units down, so

y = | x | - 3 → C

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]c) |x| - 3[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Option C should be the correct answer.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

6

Step-by-step explanation:

KL = 26-(11+9) = 26-20 =6

Answer:

KL is 6

Step-by-step explanation:

IL is 26, IJ = 9 JK= 11

IL= IJ + JK + KL

26= 9 + 11 + KL

Rearrange

KL= 9 + 11 - 26

    = 6

Answer:

we got 10 digits to choose from for the first digit, 9 for the second and so on

[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]

scenarios that got no repeated digits.

the total number of possible PINs with 6 digits is

[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]

or just 10⁶

so the fraction we are looking for is the number of valid states decided by all possible states.

[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]

=0.1512

rounded to the nearest thousandth it's

0.151

(actually, I didn't expect the probability to be around 15 percent)

hope it helps. asked question whenever you like

kind regards

Alex

Answer:

Step-by-step explanation:

There is no " square shown below"

pregunta:x2+40=100

resultado:x=30

Step-by-step explanation:

the anwer is x=30......

Answer:

450g coffee or 21.95$ coffee

Step-by-step explanation:

again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

[tex]A \to Amount[/tex]

[tex]t \to time[/tex]

Given

[tex]A(0) = 200[/tex] --- initial

[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes

Required

[tex]A(10)[/tex] --- amount left after 5 minutes

To do this, we make use of:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(5) = 160[/tex] implies that:

[tex]160 = 200 * e^{k*5}[/tex]

Divide both sides by 200

[tex]0.80 = e^{k*5}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.80) = \ln(e^{k*5})[/tex]

[tex]\ln(0.80) = \ln(e^{5k})[/tex]

[tex]\ln(0.80) = 5k\ln(e)[/tex]

So, we have:

[tex]-0.223 = 5k[/tex]

Divide by 5

[tex]k = -0.045[/tex]

So, the function is:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(t) = 200 * e^{-0.045t}[/tex]

The amount after 10 minutes is:

[tex]A(10) = 200 * e^{-0.045*10}[/tex]

[tex]A(10) = 200 * e^{-0.45}[/tex]

[tex]A(10) = 127.53[/tex]

Answer:

A: 686π≈2,156

Step-by-step explanation:

First, you need to find the area of the circle then times that by 14.

π[tex]r^{2}[/tex]         Formula for the area of a circle

π[tex]7^{2}[/tex]          r stands for radius, so you divide the diameter by 2 and get 7.

π49        This is the area of the circle

π49×14    Now multiply by 14

=686π      This is your answer.

=2155.13256     When you times it by pi this is what you get

=2156               This is your answer if you want it rounded up

Answer:

The slope is 2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1)

Given:

y2 = -10

y1 = -6

x2 = 2

x1 = 4

Work:

m=(y2-y1)/(x2-x1)

m=(-10 + 6)/(2 - 4)

m= (-4)/(-2)

m = 2

Answer:

D. 464 ft²

Step-by-step explanation:

Area of trapezoidal prism = h(b + d) + l(a + b + c + d)

Where,

h = 4 ft

a = 5 ft

b = 6 ft

c = 5 ft

d = 12 ft

l = 14 ft

Plug in the values into the formula

Area of trapezoidal prism = 4(6 + 12) + 14(5 + 6 + 5 + 12)

= 4(18) + 14(28)

= 72 + 392

= 464 ft²

Answer:

B. 489.8 ft²

Step-by-step explanation:

Lateral surface of the cylinder = 2πrh

Where,

radius (r) = 6 ft

height (h) = 13 ft

Let π = 3.14

Plug in the values into the formula

Lateral surface of the cylinder = 2*3.14*6*13

Lateral surface of the cylinder = 489.8 ft²

Answer:

I think I would be option C. for your question

Thank you......

Have a good day......

Answer:

k = -3

Hope this helps!

Answer:

Step-by-step explanation:

f(x+k) is a horizontal shift of -k units.

Since the vertex went from 1 to -2, k = 3.

Answer:

[tex]21.9 * 10^{10}[/tex]  Population of the Country Now .

Step-by-step explanation:

According to the Question,