The chart below shows the distribution of the number of books in a library.

Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total

Paladinen [302]

The function can be described as

b(p)= player receives 10 bonus points
b(p)= p+10

s(p)= increases 5% of the player’s current points
s(p)= p*(100%+5%)= p*1.05

then (s ∘ b)(p) would be
s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
(s ∘ b)(p)= 1.05p+10.5

4 0

3 years ago

What the correct answer do not want the wrong answer please

Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

5 0

3 years ago

Find the mean and median of these data: 2, 5, 9, 11, 17, 19.

Harrizon [31]

data: 2, 5, 9, 11, 17, 19

median is the middle number
median = (9+11)/2 = 10

mean = average
mean = (2 + 5 + 9 + 11+ 17 + 19)/6
mean = 63/6
mean = 10.5

6 0

3 years ago

A rhombus has a base of 5.2 meters and a height of 4.5 meters. The rhombus is divided into two identical triangles. What is the

Lisa [10]

Answer:

11.7 m²

Step-by-step explanation:

What is the area of each triangle ?

A = b×h/2

= 5.2m×4.5m/2

= 23.4m²/2

= 11.7 m²

3 0

3 years ago

If a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

Anvisha [2.4K]

Answer:

The area of the living room and hallway together = 437ft²

Question:

The complete question related to the one above found at 'Geometry in class' is stated below:

Abbey is getting new carpet in her living room and hallway.

The following diagram shows the two together.

If = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

Find attached the diagram of the question.

Step-by-step explanation:

To determine the area of the living room and hallway together, we would break the diagram into two rectangles.

Calculate the area of each and sum the two outcomes together.

Find attached the diagrams of the solution.

Given: a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft,

Area of rectangle = length × breadth

Area of rectangle 1 = a × (d-b)

= 38 × (19-15) = 38× 4

Area of rectangle 1 = 152ft²

Area of rectangle 2 = c × b

= 19 × 15 = 285

Area of rectangle 2 = 285ft²

The area of the living room and hallway together = Area of rectangle 1 + Area of rectangle 2

= 152ft² + 285ft²

The area of the living room and hallway together = 437ft²

5 0

3 years ago