A Boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet away from the base of the dock. The rope connects to the boat at the level of the water. What is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water?

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]=\frac{4^2}{9^2}[/tex]

[tex]4^2=16[/tex]

[tex]=\frac{16}{9^2}[/tex]

[tex]9^2=81[/tex]

[tex]=\frac{16}{81}[/tex]

Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].

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Answer:

[tex]y=\frac{-2}{3} x+1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]. Here's what the variables mean:

y = the y-coordinate

m = the slope

x = the x=coordinate

b = the y-intercept (what y is equal to when the line crosses the y-axis)

First, we need to calculate the slope of the line (m). The slope is the [tex]\frac{rise}{run}[/tex] of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is [tex]\frac{-2}{3}[/tex].

We can also calculate this using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] by using two points that fall on the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Here, we can use the points (-3,3) and (0,1).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}[/tex]

Two negatives make a positive

[tex]=\frac{1-3}{0+3}\\=\frac{-2}{3}[/tex]

Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.

Now, we plug our calculated values back into the original equation:

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

I hope this helps!

Answer:

The surface area is 143m

Step-by-step explanation:

(at least I think)

Answer:

3:20

Step-by-step explanation:

Answer:

4:18

hope it helps.....

Answer:

s=16

Step-by-step explanation:

P=4s

Put P=64

64=4s

s=16

Answer:

25y-3z-8

Step-by-step explanation:

happy to help

Answer:

-z-2z-10y+15y+2

-3z+5y+2

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.

Hope I helped!! :)

Brainliest?

Have a good night/day/afternoon!!!

The greatest common factor of 14 and 49 is 7.

To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.

The factors of 14 are 1, 2, 7, and 14.

The factors of 49 are 1, 7, and 49.

The common factors of 14 and 49 are 1 and 7.

Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.

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Answer:-13/3

Step-by-step explanation:

Answer:

half of 30

Step-by-step explanation:

19 - 4 = 15

24 - 9 = 15

Answer:

No solution.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

If the lines are parallel, they will have no solutions.

If the lines are the same, they will have infinite solutions.

If the lines are anything else, they will usually have 1 solution.

If we graph the systems of equations, we see that the lines are parallel.

∴ the systems has no solution.

Answer:

The correct answer is Option C:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Step-by-step explanation:

Dot plots are one of the tools that are used to represent data in statistics and mathematics.

As the dot plot is given, we can make the data set from the plot.

As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.

Similarly, 165 occurs 5 times, 170 two times and 180 four times.

So the dataset will be:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Answer:

Given that he length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. The measurement that is more precise among the choices given is:

2 inches.

This is because it is the closest approximation of the length compared to the rest of the approximations.

Step-by-step explanation: can i have brainliest pls

Answer:

I'm note sure but I think it's the first one

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

1 solution

Step-by-step explanation:

4x + 5 = 6(x+3) - 20 - 2x

4x + 5 = 6x + 18 - 20 - 2x

4x + 5 = 4x -2

X = 3 therefore, there is only one solution

Answer:

Use the equation 500x0.04x20 and then 500x20 and add the sums up and get 10,400 i believe is im wrong sorry :/

$900 is the total amount of money she has after 20 years.

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

From the formula of simple interest A = P(1 + rt)

Where A = amount earned

P = principal amount

r = rate of interest

t = time

In our case

P = 500

r = 4%

t = 20

Thus,

Amount earned after 20 years = 500(1 + 4*20/100)

Amount earned after 20 years = 500(1 + 4/5)

Amount earned after 20 years = 900

therefore, the total amount of money she has after 20 years is $900.

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Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

Answer:

7 times

Step-by-step explanation:

There is one number greater than 5 on a dice - that is the number 6.

So probability of throwing a six = 1/6.

So it is 42 * 1/6.

Answer:

31 days

Step-by-step explanation:

Hope this helps!

Brainiest?

Answer:

31 days

Step-by-step explanation:

you have a set number already 19 if every day the watch goes back 1 day 31+19=50

Answer:

5*-2 = 1/25

5*3 = 125

2*-4 = 1/16

2*5 = 32

Answer:

SOH CAH TOA

Step-by-step explanation:

/hyp/2=/ opp/ 2 +/Adj/2

x2=(1/21)2 + 1/28)2

Answer:

Linear

Step-by-step explanation:

5y=7x+6 is linear equation in two variables.

Answer:

64

Step-by-step explanation: