Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.

By using the Pythagorean Theorem, we will see that the length of the missing side is 4 units.

We need to remember the Pythagorean Theorem, the sum of the squares of the cathetus is equal to the square of the hypotenuse.

In this case, the cathetus are x and 3, and the hypotenuse is 5, then we have:

x^2 + 3^2 = 5^2

x^2 = 25 - 9 = 16

x = √16 = 4

So the length of the missing side is 4 units.

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

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Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

[tex]v_f=v_i+at[/tex]

[tex]58.8=0+(9.8)t[/tex]

[tex]58.8=9.8t[/tex]

[tex]t=5.7s[/tex]

Answer:

The graph is shown below

Step-by-step explanation:

So, we can see that it is a linear equation, and the slope is 1/3x. Simply graph a line that has a slope of 1/3. Then, Becuase it shows y is greater than, we would shade above becuase y is greater than. But becuase it is not or equal to, we would create the line with dashes.

Answer:

A. 18.94

Step-by-step explanation:

57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)

Answer:

The area of figure = 260 cm²

Step-by-step explanation:

Area of figure = area of rectangle+ area of triangle

=> l×b + 1/2 ×b×h

=> 10×20 + 1/2 × 20 × 6

=> 200 + 60

=> 260 cm²

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle
= l × w
= 20 × 10
= 200 cm²

Area of the triangle
= ½bh
= ½ × 20 × 6
= ½ × 120
= 60 cm²

Area of the total figure
= Area of the rectangle + Area of the triangle
= 200 cm² + 60 cm²
= 260 cm²

________
Hope it helps ⚜

The function h(t)=6+3ln(t+1) is a logarithmic function

The height of the tree will exceed 18 feet after 53.6 years

The function is given as:

h(t)=6+3ln(t+1)

When the height is 18 feet, we have:

6+3ln(t+1) = 18

Subtract 6 from both sides

3ln(t+1) = 12

Divide both sides by 3

ln(t+1) = 4

Take the exponent of both sides

t + 1 = e^4

Evaluate the exponent

t + 1 = 54.6

Subtract 1 from both sides

t = 53.6

This means that the height of the tree will exceed 18 feet after 53.6 years

Read more about logarithmic functions at:

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Two people, Anne and Charlie.

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in https://brainly.com/question/8058700

let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.

Answer:

hope this helps

Answer:

Formula of Mean= Efx/n

Formula of Median=n+1/2

I think it will help you

         ⇒ Perimeter = 10 + 10 + 10 + 10 = 40 ft

        To understand the slant height, look at the diagram I attached

       Slant height: 13 ft

         ⇒ Lateral Area = 4 * (Area of Triangle)

                                    = [tex]4*(\frac{1}{2} *10 * 13) = 4 * 5* 13 = 260ft^2[/tex]

                                    = 260 ft^2

       Area of Base = 10 * 10 = 100ft^2

        Surface Area = Area of Base + Lateral Area

                               = 100 + 260 = 360 ft^2

Hope that helps!

Answer:

p(8) = 11,327

Step-by-step explanation:

Hey there!

In order to find the answer, all we need to do is subtitute the x values for 8

After substituting, the equation will look like this:

[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]

Now we simplify

8 to the power of four is 4096 and when you multiply that by 4, you get 16384

8 to the power of 3 is 512 and when you multiply that by -10, you get -5120

8 times 8 is 64

And then there is -1

Now all we have to do is combine all the answers together for one final answer

16384-5120+64-1 is equal to 11327

So the output of this function when you input 8 is 11,327

[tex]y = |x + 2| [/tex]

____________________________________________

As you know all kind of vertical transfers are along the y-axis thus :

[tex]y = |x + 2| + 1[/tex]

____________________________________________

[tex]y = | x + 2| - 1[/tex]

_____________________________________________

Working with the operation along the x-axis are all opposite so when the question say transfer the graph on unit to left it means to decrease all x values by one unit and we have to do the inverse work with mean to increase all the x values by one unit :

[tex]y = |(x +1 ) + 2| [/tex]

[tex]y = |x + 3| [/tex]

_____________________________________________

[tex]y = |(x - 1) + 2| [/tex]

[tex]y = |x + 1| [/tex]

And we're done...

In order to solve this inequality, we should divide both sides by 9:-

[tex]\sf{9x < 72}[/tex]

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

[tex]\sf{x < 8}[/tex]

Hence, that's the solution to the inequality.

It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)

(Option C is correct :) )

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

x < 8

solving steps:

Answer:

14.424375 cubed feet (can round)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.

Next, find the volume of the cylinder, and use this formula:

πrr (area of one circle) x the height

The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)

Now, we can plug all of the numbers in the previous formula:

π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet

For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.

So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)

Answer:

I think it is 3,478 if you need it to be Simplifyed

Step-by-step explanation:

hope this helps if not please let me know

Answer:

0.00892857....

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Answer:

D = .30 Q = 0.24

Step-by-step explanation:

12 + 15 + 23 = 35 + 15 = 50

15/50 = 3/10

12/50 = 6/25

ok well

6/25 = 0.24

3/10 = .30

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

Answer:

(4,8)

Step-by-step explanation:

(x,y) on the X line it is at 4 and on the Y it is on 8 so that would be (4,8)

Answer:

Part A: 4           Part B: every day the amount of people that know are multiplied by 4.

Step-by-step explanation:

Answer:

There are five terms.

Terms in an expression contains variables and numbers. They are separated by any operators like addition and subtraction.

In this expression the terms are:

a^3,  3a^2b , -4ab, -11b and 7

As you can see, there are five terms in the expression

Answer:

O.9504 is the coreect answer bro

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.

given

After 1 year, the amount Linda will have is:

200 * 1.05 = $210

After 2 years, the amount Linda will have is:

210 * 1.05 = $220.50

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

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Answer: 4.1

Step-by-step explanation:

Answer:

you would be measuring the volume

Step-by-step explanation:

because of the cubic feet keyword.

plus the question states that there is no height , length.