A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the grass he can cover? Use 3.14 for π.

Answer:

17/3 = 5 2/3

Step-by-step explanation:

3 goes into 17 5 times, the remaining numbers are 2.

Answer:

B. All non zero real numbers

Step-by-step explanation:

I calculated it logically

Answer:

2.191 · [tex]10^{-3}[/tex]

Step-by-step explanation:

0.002191

2.191 · [tex]10^{-3}[/tex]

Literally have the same question on my test and i dont know if i got it right or wrong. I know it has nothing to do with this :/ im sorry.

Answer: [tex]66.42^{\circ}[/tex]

Step-by-step explanation:

Given

Length of the ladder is [tex]L=15\ ft[/tex]

Bottom of the ladder is [tex]6\ ft[/tex] away from the side of the house.

Suppose, ladder is leaning against the wall with angle of elevation [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}[/tex]

Thus, the angle of elevation is [tex]66.42^{\circ}[/tex]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that [tex]\mu = 20, \sigma = 6[/tex]

Sample of 150:

This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]

[tex]Z = 2.04[/tex]

[tex]Z = 2.04[/tex] has a p-value of 0.9793

X = 19.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]

[tex]Z = -1.02[/tex]

[tex]Z = -1.02[/tex] has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Answer:

c. golden mean

Let's solve your inequality step-by-step.

n/ 5 + 7 < 5

Step 1: Simplify both sides of the inequality.

1/5n + 7 < 5

Step 2: Subtract 7 from both sides.

1/5n + 7 −7 < 5 − 7

1/5n < − 2

Step 3: Multiply both sides by 5.

5*(1/5n) < (5)*(−2)

n < − 10

Answer:

n < − 10

Answer:

H

Step-by-step explanation:

given y = -x² + 3x.

let f(x) be y.

f(-2) = -(-2)² + 3(-2) = -10

f(-1) = -(-1)² + 3(-1) = -4

f(0) = -(0)² + 3(0) = 0

f(1) = -(1)² + 3(1) = 2

f(2) = -(2)² + 3(2) = 2

Answer:

The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:

140-80=60

60 miles/2 hours=30 mph as the rate of the second car.

Step-by-step explanation:

Answer:

D) - 8

Step-by-step explanation:

If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.

Answer:

Yo, the answer would be 37 which is A. Cheers

Step-by-step explanation:

The sides are equal to one another

This means   4x+2=180

4x+2=180      

    -2     -2

4x=148

/4

x=37

Answer:

Hello! answer: x = 37

These are vertical angles so they will both equal the same so we just have to figure out what multiplied by 4 + 2 = 150 and 4 × 37 = 148 and 148 + 2 = 150 so x = 37 Hope that helps!

Answer:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

So as we see here, they all look the same. But I can see that it says only ONE of the PAIRS of triangles is congruent.

What I can tell is that

Number 1 and 3 are probably congruent since they both have the same shape, and size.

Answer:

1106

Step-by-step explanation:

PEMDAS [the order of operations]

M[ultiplication] comes before S[ubtraction], so we should multiply first:

26 × 43 = 1118

Now, we can subtract:

1118 - 12 = 1106

you can write this equation as:

(26 × 43) - 12

if that makes more sense to you

hope this helps!! :)

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20 feets

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer: y=41−11x.

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer:

24

Step-by-step explanation:

To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512

Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.

The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64

Now convert 3/64 to have a denominator of 512

3/64*8/8= 24/512

24/512 divided by 1/512 is 24

You can fit 24 cubes in the rectangle.

Answer:

Step-by-step explanation:

x+a=c

x=c-a

Given :

A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall.

To Find :

How far out from the base of the wall should the ladder be placed.

Solution :

We know, the angle between floor and height is 90° .

Now, length of ladder, l = 2.8 m .

Height of wall, h = 2 m .

Let, distance between base of the wall and ladder is b .

[tex]l^2 = h^2 + b^2\\\\b = \sqrt{l^2 - h^2}\\\\b = \sqrt{2.8^2 - 2^2}\ m\\\\b = 1.96 \ m[/tex]

Hence, this is the required solution.

Answer:

b.

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

order pair of real number is (2,3) is given by the first number 2 and the second number 3 Example (a,b).

Answer:

D. Line

Step-by-step explanation:

If there are equals -pi/6 and nothing else then it’s going to be a line.

The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).

According to the question

The name of the shape graphed by the function

Ф = [tex]\frac{-\pi }{6}[/tex]

As we can see that Ф is a constant function

and per definition of constant function :

A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).

i.e

graphed by the function

Ф = [tex]\frac{-\pi }{6}[/tex]

will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )

Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .

To know more about graph of a function here:

https://brainly.com/question/27757761

#SPJ2

Answer:

y=10x

Step-by-step explanation:

10 is the slope or the rate of change.

Answer:

y = 10x

Step-by-step explanation:

y is your total, 10 is your amount per hour, you multiply the hourly rate by the number of hours.

Answer:16:20

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

From the question, we can deduce the following points;

- 12 less than x which simply means 12 subtracted from x.

- the value of the above expression is equal to 51.

Translating the word problem into an algebraic expression, we have;

x - 12 = 51

Rearranging the equation (collecting like terms), we have;

x = 51 + 12

x = 63

Answer:

A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points