Verify that sin 2x = 2 cot x sin2 x is an identity

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:

The area of the shaded area is 27 [tex]\pi[/tex]

Step-by-step explanation:

The formula for the area of a circle is :[tex]\pi *radius^2[/tex]

To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.

To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.

To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.

The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.

1) Multiply  [tex]\pi[/tex]  by 6 squared.

[tex]\pi *6^2=36\pi[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 36 [tex]\pi[/tex] by 4.

[tex]36\pi/4=9\pi[/tex]

4) Multiply 9 [tex]\pi[/tex]  by 3.

[tex]9\pi*3=27\pi[/tex]

Answer:

27 pi

Step-by-step explanation:

Answer:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

up there

Answer:

Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:

SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)

SA = 2(84) + 2(48) + 2(112)

SA = 168 + 96 + 224

SA = 488 square inches of paper to wrap the box.

Step-by-step explanation:

Answer:

1)x=21.33

2)Height of tree is 20 m

Step-by-step explanation:

Question 1

ΔABC ≈ΔADE

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,[tex]\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x[/tex]

Question 2: Find the height of tree

ΔDEF ≈ΔDHI

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,[tex]\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20[/tex]

Hence The height of tree is 30 m

Answer:

Step-by-step explanation:

We are given a 30-60-90 triangle, where the length of the hypotenuse is 10 units. We are to find the length of sides s and q. Therefore, s = 5 units and q = 5√3 units. In the given 30-60-90 triangle, side s has a length of 5 units and side q has a length of 5√3 units.

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

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

First, we need to collect like terms:

[tex]4x+2=-2\\4x=-4[/tex]

Then we divide both sides by 4:

[tex]\frac{4x}{4}=\frac{-4}{4}\\x=-1[/tex]

The answer is x = -1.

To solve this equation, you must collect like-terms by adding together x terms and numbers, and then rearrange to get x on one side and numbers on the other:

x + x + 2 + 2x = -2

4x + 2 = -2

- 2

4x = -4

÷ 4

x = -1

I hope this helps! Let me know if you have any questions :)

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

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Answer: 0.4

Step-by-step explanation:

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

Answer:

9x

Step-by-step explanation:

2(2x-1)+10x+2-3x

2x-2+10x+2-3x

9x+2-2

9x

Answer:

The answer is 9x.

Step-by-step explanation:

I got this answer from the best.......aka the lil boy who already answered it.

< Sarah >

Answer:

scalene

Step-by-step explanation:

Its a scalene triangle

Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

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.

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

Answer:

greater than 7

Step-by-step explanation:

the answer is A

Your Welcome.

Answer:

a

Step-by-step explanation:

I had the same question on my homework.

Answers:

a) -13

b) -12.9

Answer:

answer = about 9

Step-by-step explanation:

1 1/2= 3/2. 3/2 divided by 1/6= 8.99999999999999999 or about 9.

Answer:

A

Step-by-step explanation:

Whenever you square a real number, the result will always be positive, because even if you are squaring a negative number a negative times a negative is a positive. However, when you cube a negative number, the result CAN be negative, because you are multiplying a negative number by itself three times. Therefore, the answer is only A. Hope this helps!

Factor the expression completely.

10 × 5 + 18

50 + 18

68

Answer:

[tex]68[/tex]

Step-by-step explanation:

[tex]10 \times 5 + 18 \\ 50 + 18 \\ = 68[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(-8, -5)

hope this helps you

..........

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

Answer:

The answer is 36 squared centimeters

Answer:

Triangle HBN ~ triangle LYR

=> HN/LR = HB/LY

=> (3x - 7)/(x + 11) = 28/21

=> 21(3x - 7) = 28(x + 11)

=> 63x -147 = 28x + 308

=> 35x = 455

=> x = 455/35 = 13

There is no answer to select. But I still believe there is no mistake in my calculation.

Hope this helps!

:)

the answer is, no.. she is not correct.

she solved the equation/question incorrectly.

why? Shauna subtracted 9 - 12/3 = 5

she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

12/3 x 2= 8

add 8 and 3, which equals 11.

the correct answer is 11!

Answer: If the train moves a constant speed of 8 miles for every 6 minutes then if the time where to be 3 minutes you would have to divided 2 and 8 because the time was split in half you would also have to split the 8 as well. Now if the time was 15 minutes you would have to add more since 6 got 9 more you will have to add 9 more to 8.

6 minutes = 8 miles

3 minutes = 4 miles

15 minutes = 17 miles

Hope this helps you :3.

The train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, a train moves at a constant speed of 8 miles every 6 minutes.

That means in one minute,

= total number of miles / total time taken

= 8 /6

= 4/3 miles

Now, for 3 minutes means 3 times 4/3

= 3 x 4/3

= 4 miles

For 15 minutes,

= 15 x 4/3

= 20 miles

For 60 minute

= 60 x 4/3

= 80 miles.

Therefore, the train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

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