Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²A - sin²B = cos(A + B) . cos(A - B)

Here A = [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] , B = [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex]

Consider the left side

cos²([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] ) - sin²( [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] )

= cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] + [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] ) × cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] - [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] )

= cos ([tex]\frac{\pi }{4}[/tex] ) × cos ( A)

= [tex]\frac{1}{\sqrt{2} }[/tex] cosA

=  right side , thus proven

Answer: B is 44 degrees.

Step-by-step explanation:

(6x+22)=(7x+16)=90.

x=4

(7(4)+16)=44

Answer:

C.

Step-by-step explanation:

It follows the rule

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

Therefore that is the reason why it is called "a squared + b squared equals c squared"

Answer:

The Oort Cloud

Step-by-step explanation:

The Oort Cloud is a predicted collection of icy objects farther away than everything else in the solar system.

Hope this helped!!!

Answer:

Step-by-step explanation:

we know that the angle is less than 90,  so there is only one choice for that , the 75° choice.   that also seems about right.  

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

5/8 = 10/16

The missing value is: 10

Answer: The probability is 5/6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

Answer:

[tex]∠ACB=40°[/tex]

Step-by-step explanation:

[tex]∠APB=80°[/tex]

[tex]=>∠APB= 2×∠ACB[/tex]

[In Circle, the angle subtend at the centre is double angle subtend at the circumference.]

[tex]=>80° = 2× ∠ACB[/tex]

[tex]=>∠ACB=\frac{80°}{2}[/tex]

Answer:

the probability of rolling a number greater than 2 is 2/3

Step-by-step explanation:

because 3 4 5 and 6 are greater than two we have 4 numbers greater than 2 so 4/6 is 2/3 when simplified

Answer:

Step-by-step explanation:

exponent on 1 is 9

Answer:

two expressions that are equivalent to 7x10^-4

=7/10000or 7/10^4

Answer:

x= -3

Step-by-step explanation:

7+[tex]\frac{2x}{3}[/tex] = 5

21+2x=15

2x=-6

x= -3

Answer:

x=-3

Step-by-step explanation:

Use PEMDAS to solve. Balance both sides by subtracting 7 from both sides. Then, multiply both sides by 3. Finally, divide the result by 2 to isolate x and you end up with x=-3

Answer:

Pretty sure it’s D

Step-by-step explanation:

Answer:

We have a triangle rectangle here.

We know that:

AC =  15

BC = 8

AB = 17

We know that in a triangle rectangle the longest side is the hypotenuse.

In the image we can see that the shorter side is the base, then BC is the base.

AC is the height.

AB is the hypotenuse.

Such that:

A is the top vertex.

B is the bottom right vertex

C is the bottom left vertex.

Now you need to remember the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

then:

Sin (A) = (AC)/(AB) = 15/17 = 0.88

Cos(B) = (AC)/(AB) = 15/17 = 0.88

Tan(B) = (AC)/(CB) = 15/8 = 1.875

Now we want to find the measure of angle A.

We know that:

Sin(A) = 0.88

Then if we apply the Asin( ) function in both sides, we get:

Asin( Sin(A)) = Asin(0.88)

A = Asin(0.88) = 61.6°

(the Asin() function is the inverse of the sin() function)

Now we have:

sin(x) = 0.906

We do the same thing as before.

Asin(sin(x)) = Asin(0.906)

x = Asin(0.906) = 65°

And:

Sin(87°) = 0.999

Answer:

C. x = 1 3/4

Step-by-step explanation:

7/12 * 9 = 3x/9 * 9

63/12 = 3x -->

(63/12) / 3 = 3x / 3

63/36 = x

x = 7/4 --> 1 3/4

Answer:

A it skews the data to the right

Step-by-step explanation:

A

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

-----------------

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Answer:

The square root of 192

Step-by-step explanation:

It's just the Pythagoras theorem p much

Answer:

is there supposed to be a picture connected to this?

Answer:

what is the question?

Step-by-step explanation:

please let me know.

thanks

Answer:

B one

They only cross once on the graph

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

Answer:

110 minutes or 1 hour 50 minutes

Step-by-step explanation:

44 divided into 4 since we want to find out how much time it takes to run 1 mile, so 44 divided into 4 is 11

then simply multiply 11 with 10 and the answer is 110

: )

Answer:

yo did anyone have the answer

Step-by-step explanation: