A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

Answer:

18 months

Step-by-step explanation:

12 + 6 months

Step-by-step explanation:

There are two trapezium(s), area of 2:

= 2 [½ x (sum of || sides) x height]

= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]

= 55.2 yd²

Area of vertically tilted rectangles

1): area = 5 x 4 = 20 yd²

2): area = 5 x 4 = 20 yd²

Total area = 20 + 20 = 40 yd²

Area of horizontal rectangles:

1): area = 4 x 8 = 32 yd² [upper]

2): area = 4 x 4 = 16 yd² [lower]

Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²

Answer:

Step-by-step explanation:

9 (10 - 3)

you use this to get rid of the number outside of the () in this case it'd be a 9

90 - 27

Answer:

[tex]Probability = 84\%[/tex]

Step-by-step explanation:

First, calculate both areas

[tex]Area = Length * Width[/tex]

The area of the outer rectangle is:

[tex]Big\ Area = 20 * 25[/tex]

[tex]Big\ Area = 500cm^2[/tex]

The area of the small rectangle is:

[tex]Small\ Area = 10 * 8[/tex]

[tex]Small\ Area = 80cm^2[/tex]

The area outside the small rectangle is:

[tex]Outside = Big - Small[/tex]

[tex]Outside = 500cm^2 - 80cm^2[/tex]

[tex]Outside = 420cm^2[/tex]

So, the probability that it falls outside the paper inside is:

[tex]Probability = \frac{Outside}{Big\ Area}[/tex]

[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]

[tex]Probability = \frac{420}{500}[/tex]

[tex]Probability = 0.84[/tex]

Express as percentage:

[tex]Probability = 0.84*100\%[/tex]

[tex]Probability = 84\%[/tex]

See attachment for rectangle

Answer:

Step-by-step explanation:

All the factors of 12

So 1, 2, 3, 4, 6 and 12 are factors of 12.

Answer:

answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day

Step-by-step explanation:

12,10| 2

6,5| 2

3,5| 3

1,5| 5

1,1

Answer: In  algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Answer:

Choice D, the cube

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

86 = 2x - 20

+20       +20

106 = 2x

2       2

53 = x

Answer:

x = 53

Step-by-step explanation:

Those 2 are alternate interior angles. So that means they're the same

2x - 20 = 86     <-- Add 20 to the right side

2x = 106     <-- Divide by 2

x = 53

Answer:

You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

5 days times 3 miles per day.

the saturdat/Sunday skateboarding stuff is irrelevant to the question asked

Answer:

Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81

Step-by-step explanation:

Then the Area of the rectangular = 12 x 18 = 216

So the  total Area of the figure is = 81 + 216 = 297

I hope it help.. give me brainiest

Answer:

35.6

Step-by-step explanation:

Answer:

i. a = -6 ii. b = 12 iii. 100 iv. 26.6°

Step-by-step explanation:

Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j

So, since AP = ai + 8j and BP = 6i + bj,

AP + BP = -20j

ai + 8j  + 6i + bj = -20j

ai + 6i + 8j + bj = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

equating the components on both sids,

a + 6 = 0 and 8 + b = 20

a = -6 and b = 20 - 8 = 12

i. The value of a is -6

ii. The value of b is 12

iii. The magnitude of the tension in string AP is?

since AP = ai + 8j  = -6i + 8j

magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10

iv. The angle that string BP makes with the vertical is?

Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f

1) The values of a and b of the given vectors are respectively; -6 and 12

2) The magnitude of the tension in string AP is; 10

3) The angle that string BP makes with the vertical is; 26.6°

We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.

By equilibrium;

AP + BP = -20j

1) We are given the tension vectors;

AP = ai + 8j and BP = 6i + bj,

Thus;

ai + 8j  + 6i + bj = -20j

(ai + 6i) + (8j + bj) = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

Equating the components of both sides gives;

a + 6 = 0 and 8 + b = 20

Solving gives;

a = -6 and b = 20 - 8 = 12

Thus, the values of a and b are -6 and 12

2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;

AP = ai + 8j  = -6i + 8j

Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10

3) The angle that string BP makes with the vertical is gotten from;

BP = 6i + bj = 6i + 12j

Thus, the angle it makes with the horizontal;

θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°

Read more about Magnitude of Tension at; https://brainly.com/question/13370981

Add the ratios together:

5 + 2 + 1 = 8

Divide the length of NQ by that:

24/8 = 3

Multiply the ratio of NO by that/l

The ratio of NO is 5, 5 x 3 = 15

NO = 15

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=√A

√64

=8

The length in centimeters of the side of the square is 8 cm.

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To solve more questions on areas, visit the link below -

brainly.com/question/30066987

#SPJ2

Answer:

P(t)= 9000(0.4)^t

Step-by-step explanation:

Generally, we have an exponential function as follows;

P(t)= I(1 - r)^t

This case represents a decay ( decrease in value)

from what we have;

I represents the initial value, whereas r is the rate of change

From the question, we have that the change rate is the fraction 3/5

Writing this as a decimal, it is 0.6

substituting this back into the equation, we have;

P(t)= I(1-0.6)^t

P(t)= I(0.4)^t

I in this case is 9,000

So we have it that;

P(t) = 9000(0.4)^t

Answer:

c. no real solutions

Step-by-step explanation:

because:

1. 10+6x=15+9x-3x

6x+10=15+9x-3x

2. 6x+10=15+9x-3x

6x+10=15+6x

3. 6x+10=15+6x

6x+10=6x+15

4. 6x+10=6x+15

6x+10-10=6x+15-10

5. 6x=6x+5

6. 6x=6x+5

6x-6x=6x+5-6x

Then you get:

0=5

remember, If you want to know if an equation has no equation:

the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

I hope this helps      :)

Answer:

f(x) is translated 1 units left to give g(x)

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x - 1)^2[/tex]

Required

How does f(x) transform to g(x)

[tex]f(x) = x^2[/tex]

When translated by b units left, it gives:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 1[/tex]

So:

[tex]g(x) = f(x - 1)[/tex]

If [tex]f(x) = x^2[/tex], then

[tex]f(x - 1) = (x - 1)^2[/tex]

Hence:

[tex]g(x) = (x - 1)^2[/tex]

This implies that; f(x) is translated 1 units left to give g(x)

Answer:

10.4 miles

Step-by-step explanation:

c(m) = trip cost

c(m) = 6.75 + 3.2m

40.03 = 6.75 = 3.2m

33.28 = 3.2m

m = 10.4

Answer:  Question 1 is x=9

Question 2 is y=-3

Step-by-step explanation:

Answer:

57.475 ft2

Step-by-step explanation:

12.1x9.5= 114.95

114.95/2= 57.475

Answer:

[tex]\Huge\boxed{57.475 ft^2}[/tex]

Step-by-step explanation:

Hello there!

The following figure shown is a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base and h =height

The height of the triangle is 12.1 ft and the base length is 9.5ft

Knowing this information all we have to do is plug in the values into the formula

[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]

So we can conclude that the area of the triangle is 57.475 square feet

Answer:

liiiaaaarrrrrr

Step-by-step explanation:

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation: