Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

The distance between the boat and the ocean's floor is 19m

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

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Step-by-step explanation:

You will have to use the limit defition of the derivative. Brainly does not have calculus symbols, which is very unfortunate, so I can only use my words. Take the limit as the change in 'x' approaches zero. You will have:

[tex] \frac{sin(x + {x}^{.} ) - sin(x)}{ {x}^{.} } [/tex]

If you let "x dot" equal zero as the limit requires, you will get 0/0 which is indeterminate. Break up the first term using the formula for the sine of a sum. You get:

[tex] \frac{sin(x)cos( {x}^{.} ) + sin( {x}^{.})cos(x) - sin(x) }{ {x}^{.} } [/tex]

Factor a sin(x) from the first and third term to get:

[tex] \frac{sin(x)(cos( {x}^{.}) - 1 ) + sin( {x}^{.})cos(x) }{ {x}^{.} } [/tex]

Use the linearity to break the limit into two parts:

[tex] \frac{sin(x)(cos( {x}^{.}) - 1 )}{ {x}^{.} } + \frac{sin( {x}^{.} )cos(x)}{ {x}^{.} } [/tex]

First term converges to zero, second term converges to cosine. Therefore proving the derivative of sine is cosine

Answer:

74.483

Step-by-step explanation:

to get the mean, or the average. you add up all the numbers and divide them by how many there are.

53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483

1/2 h×b

1/2 (10×14)

1/2 (140)

70m²

hope it helps...!!!

Answer:

The answer is 12/5.

Step-by-step explanation:

5 + 2/5=

10/5 + 2/5=

12/5

Such sentences that convey strong emotion or excitement are called an exclamatory sentence.

The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.

Answer:

1/5

Step-by-step explanation:

You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.

Answer:

A

s+s+s+s

equals to 4s

therefore a+a+a+a

equals to 4a

The amounts of Federal and State taxes that the couple will owe will be $25100 and $7500 respectively.

A tax simply means a compulsory levy that's paid to the government by individuals and businesses.

In this case, the standard deduction for married couples that are filing jointly is $25100. Also, the state tax will be:

= 5% × $150000

= 0.05 × $150000

= $7500

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Linear equations are often organized in slope-intercept form:

[tex]y=mx+b[/tex]

Parallel lines always have the same slopes and different y-intercepts.

We're given:

Firstly, rearrange the given line in slope-intercept form:

[tex]y=-3x+5[/tex]

Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):

[tex]y=-3x+b[/tex]

We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:

[tex]y=-3x+2[/tex]

[tex]y=-3x+2[/tex]

Answer:

Burger: 9.00

18%tip: 2.16

total with tip: 14.16

Salad: 8.00

Tatal: 11.00

Total with tip: 12.00

Water: 1.19

total: 9.19

18% tip: 2.02

Step-by-step explanation:

I am unsure of the salad pretty sure it's 8 dollars but I am unsure

I've attached my written workings :)

The surface area of a right rectangular prism is the amount of space on it.

Muna's claim is incorrect

The surface area of a right rectangular prism is calculated as:

A = 2 * (lw + lh + wh)

So, we have:

A = 2 * (8 * 16 + 8 * 12 + 16 * 12)

The above expression implies that Muna's claim is incorrect

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The standard deviation of the given data is 3.5

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ =  √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

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Answer: B

Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.

Answer:

OPTION A

Step-by-step explanation:

we start by multiplying both roots.

we then get negative 3 times the third root of: 40 × x^9 × y^3

we then simplify to get:

-24 × x^3 × y × third root of 5

[tex]\\ \rm\Rrightarrow -\sqrt[3]{2x^4y^2}\times 3\sqrt[3]{20x^5y}[/tex]

[tex]\\ \rm\Rrightarrow -3\sqrt{40x^9y^3}[/tex]

[tex]\\ \rm\Rrightarrow -3(6x^3y\sqrt[3]{5}[/tex]

[tex]\\ \rm\Rrightarrow -24x^3y\sqrt[3]{5}[/tex]

Answer:

C) 14

Step-by-step explanation:

3x-6=36

3x=36+6

3x=42

x=42/3

x=14

Answer:

40 square centimeters

Step-by-step explanation:

so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):

360/9=40

40 cm squared

Answer:

Options D, E, F

Step-by-step explanation:

Given the following system of linear inequalities in two variables:

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(8) < 2

 ⇒  16 < 2  (False statement).  

y > 7

 ⇒  2 > 7 (False statement).  

 ⇒  (8, 2) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(0) < 2

 ⇒  0 < 2  (True statement).  

y > 7

 ⇒  0 > 7 (False statement).  

 ⇒  (0, 0) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(5) < 5

 ⇒  10 < 2  (False statement).  

y > 7

 ⇒  5 > 7 (False statement).  

 ⇒  (5, 5) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(1) < 9

 ⇒  2 < 9  (True statement).  

y > 7

 ⇒  9 > 7 (True statement).  

 ⇒  (1, 9) is a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(17) < 50

 ⇒  34 < 50  (True statement).  

y > 7

 ⇒  50 > 7 (True statement).  

 ⇒  (17, 50) is also a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(-1) < 10

 ⇒ -2 < 10  (True statement).  

y > 7

 ⇒  10 > 7 (True statement).  

 ⇒  (-1, 10) is also a solution to the system.  

Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.  

Linear Inequalities in two variables

System of linear inequalities  

________________________________

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Answer:

Step-by-step explanation:

Given

We are asked to find F(-1).

This can be done by substituting -1 in place of x in the function.

A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".

A frequency table is used to display the frequencies of different outcomes in a sample.

Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.

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54x+16÷2−33(5+5)

54x+16÷2-33×10

54x+8-33×10

54x+8-330

54x-322

54x=322

x=322/54

x=5.96

x=6(round fig)

hope it helps...!!!

[tex] \huge \mathbb \green{HEY \: THERE}[/tex]

[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]

[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]

Answer:

Add '-2b' to each side of the equation.

a + 2b + -2b = 12 + -2b

Combine like terms: 2b + -2b = 0

a + 0 = 12 + -2b

a = 12 + -2b

Simplifying

a = 12 + -2b

Answer: b= 6-a/2

Step-by-step explanation:

Always try to isolate what you are looking for.

a+ 2b=12 (subtract a)

2b= 12-a (divide by 2 to isolate b)

b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)

b= 6-a/2 [b is now isolated :) ]

Answer:

59

Step-by-step explanation:

I answered got it wrong and found the answer

The height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

"It is the ratio of the sum of all given observations to the total number of observations. "

For given question,

We have been given the average heights of four samples taken from a population of students.

The mean(average) of the average height of the population would be,

[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]

Therefore, the height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

Learn more about the average here:

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Answer: 49.2 or 49[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The formula for surface area of a rectangular prism is [tex]2(wl+hl+hw)[/tex]

Where

w is width (5 for this)

l is length ([tex]1\frac{1}{5}[/tex] for this)

h is height (3 for this)

Now lets sub in the values and solve

[tex]2(wl+hl+hw)\\2[(5)(1\frac{1}{5}) +(3)(1\frac{1}{5})+(3)(5)]\\2[6+3.6+15]\\2[9.6+15]\\2[24.6]\\49.2[/tex]

answer: 49.2

step-by-step :

the width is 5

the length is 1  1/5

the height is 3

Answer:

15

Step-by-step explanation:

Joyce reserved number 1 for herself

Of all  the possible combinations,

1 and  15 is a perfect match for a perfect square

So,Joyce dinner partner was number 15.

Answer:

0.44 is the correct answer

Answer:

.44

Step-by-step explanation:

11/25

Multiply the top and bottom by 4

11*4

-------

25*4

44

-----

100

The decimal is .44

It yields a straight line almost

Slope:-

But it's not accurate and somehow wrong as it's exponential and our slope must be in log form

But thing we get that slope is positive so association is positive

Answer:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.

Step-by-step explanation:

In a scatter plot:

Correlation measures how closely two variables are linked.

The given scatter plot shows the y-variable increasing as the x-variable increases.  Therefore, this shows a positive correlation.

Therefore, the solution is:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.

Answer:

13 train cars.

Step-by-step explanation:

Let x = number of trains

[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]

But we can't have 0.5 of a train...

x ≈ 13cars

Answer:

$310.04

Step-by-step explanation:

you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)