Taylor kept track of the number of hours that he spent at the media center each week for several weeks. He spent 8, 2, 5, 10, and 5 hours.

Answer:

Step-by-step explanation:

Trigonometric identities are used to show the equality of expressions involving trigonometric functions. These trigonometric functions are the sine, the cosine, and the tangent as well as their respective reciprocals which are cosecant, the secant, and the cotangent,

Some trigonometric identities are:

tanθ = sinθ / cosθ; secθ = 1 / cosθ; cosecθ = 1 / sinθ; cotθ = 1 / tanθ = cosθ / sinθ

The angle addition formula for cos is given as:

cos(α + β) = cosαcosβ - sinαsinβ

Therefore:

cos(a + b) = cosacosb - sinasinb

Answer:

The answer is (7,3)

Step-by-step explanation:

the answer is the point where the two lines intersect.

Answer:

Step-by-step explanation:

Answer:

$1,053.50

Step-by-step explanation:

First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.

Answer:

Rectangle

Step-by-step explanation:

Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.

hope this helped, have a great day :)

Answer:

Rectangle

Step-by-step explanation:

Answer:

w = 13

Step-by-step explanation:

Right angle: 90°

Write an equation:

(4w + 5)° + 33° = 90°

Solve for w.

(4w + 5)° = 90° - 33°

(4w + 5)° = 57°

You can take away the brackets.

4w + 5 = 57

Isolate w.

4w = 57 - 5

4w = 52

w = 52 ÷ 4

w = 13

I hope this helps!

Step-by-step explanation:

Case 1 :

[tex]3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x = \frac{6 - 2y}{3} = \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) + y = 2 \\ 8 - \frac{8y}{3} + y = 2 \\ - 1.67y = - 6 \\ [/tex]

[tex]y = 3.59 \\ x = 2 - \frac{2y}{3} \\x = 2 - \frac{2 \times 3.59}{3} \\ \\ x = - 0.39[/tex]

Case 2 :

[tex]3x + 2y = 6 \\ 4x - y = 2 \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) - y = 2 \\ 8 - \frac{8y}{3} - y = 2 \\ - 3.67y= - 6 \\ y = 1.63[/tex]

[tex]x = 2 - \frac{2y}{3} \\ x = 2 - \frac{2 \times 1.63}{3} \\ x = 2 - 1.087 \\ x = 0.913[/tex]

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

1

Step-by-step explanation:

74/2 = 37/x so u have to cross multipy these two so 74*x = 2*37

then 74x =74 so x=74/74 which is 1 :)

Answer:

i will respect the points

Step-by-step explanation:

Answer:

x≥2

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

10x+5−5≥25−5

10x≥20

Step 2: Divide both sides by 10.

10x /10 ≥ 20 /10

HOPE IT HELPS

I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

Answer:

Given: 3x+5+ 7x +2

Step-by-step explanation:

= 3x + 5 + 7x + 2

= 10x + 7

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Answer:

The answer to the first one is y=3/2x-27/2

The answer to the second one is y=-3/5x+6/5

Step-by-step explanation:

1. 2y-3x=-27

first, you want to add '3x' to both sides.

2y=3x-27

then you want to divide '2' from both sides. you do not want to use the 'y' because you want to keep the 'y' on its own side.

y=3/2x-27/2

2. 5y+3x=6

First, you want to subtract '3x' from both sides.

5y=-3x+6

Now, you want to divide '5' from both sides.

y=-3/5x+6/5

Answer:

x = 4

y = 10

Step-by-step explanation:

7x - 3 = 25

7x = 28

x = 4

12y + 35 = 155

12y = 120

y = 10

Hey there!

There are actually a few possible equations, but I will choose these:

FOR X:

7x - 3 = 25

7x = 28

x = 4

FOR Y:

12y + 35 = 155

12y = 120

y = 10

Hope it helps and have a great day!!

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d

The formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a[tex]_{n}[/tex] = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S[tex]_{n}[/tex] = 185

→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above

∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

Answer:

x = 21

Step-by-step explanation:

2x and 42 are alternate angles and are congruent, so

2x = 42 ( divide both sides by 2 )

x = 21

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Answer:

40 people

Step-by-step explanation:

Step one:

given data

let the total number of persons be x

There are 28 women

The number of men = 30% of x

Step two:

So the total person is given as

30/100*x+28= x

solve for x

0.3x+28= x

collect like terms

x-0.3x= 28

0.7x= 28

divide both sides by 0.7

x= 28/0.7

x= 40 people

Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

11w+21

I hope this helps with your question :)

Answer:

[tex]11w + 21[/tex]

Step-by-step explanation:

First, expand the brackets

Then, add the same variables

That's the answer!

Hope this is correct and helpful

If there's any questions please don't hesitate to ask

HAVE A GOOD DAY!

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

Answer:

i think it is 23