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3 years ago

Look at the question

Mathematics

1 answer:

ziro4ka [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The better buy is the one where you get more area of pizza per dollar (area/price).

Since the problem gives diameter, we assume the pizzas are circle-shaped.

Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.

*************************************************************************************

Pizza 1: d = 8 and price is $10

r = 1/2 x d = 4

Area of Pizza 1 = πr² = π(4)² = 16π

*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar

**********************************************************************************

Pizza 2: d = 14 and price is $16

r = 1/2 x d = 7

Area of Pizza 2 = πr² = π(7)² = 49π

*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar

***********************************************************************************

Pizza 2 is the better buy, with more pizza per dollar.

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Question 1................

rewona [7]

I think it is 9 that it ok

5 0

4 years ago

Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

See image for question.

kotegsom [21]

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

6 0

3 years ago

Write an expression that has three terms and simplifies to 4x-7.

nikklg [1K]

You get 3x + 4x, +4- -3,and +3 + 4

4 0

4 years ago

Can someone help me? It's urgent and thank you!

Flura [38]

Answer:

d = 6

Step-by-step explanation:

Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.

d = | - 3 - 3 | = | - 6 | = | 6 | = 6

5 0

3 years ago

Read 2 more answers