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vlada-n [284]
3 years ago
10

At a cafe

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

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A right triangle of hypotenuse 13 cm and
wariber [46]

9514 1404 393

Answer:

  • volume: 100π cm³ ≈ 314.2 cm³
  • area: 65π cm² ≈ 204.2 cm²

Step-by-step explanation:

The other leg of the right triangle is found from the Pythagorean theorem:

  r² + 12² = 13²

  r = √(169 -144) = √25 = 5

The solid of revolution is a cone with a radius of 5, a height of 12, and a slant height of 13.

The volume is given by ...

  V = (1/3)πr²h

  V = (1/3)π(5 cm)²(12 cm) = 100π cm³ . . . volume

__

The lateral surface area is given by ...

  LA = πrh . . . where h is the slant height

  LA = π(5 cm)(13 cm) = 65π cm² . . . curved surface area

8 0
3 years ago
A boat race takes place in Detroit every summer. The first boat to travel 3 miles upstream and back will win the race. If the ri
kakasveta [241]

Answer:

The speed of the boat in still water u = 8 \frac{mi}{hr}

Step-by-step explanation:

Let speed of the boat = u \frac{mi}{hr}

Speed of the current = v \frac{mi}{hr} = 4 \frac{mi}{hr}

Given that the first boat to travel 3 miles upstream and back in a total 1 hour.

So

\frac{3}{u - v} + \frac{3}{u + v}  = 1

\frac{6 u}{u^{2} - v^{2}  } = 1

u^{2} - v^{2} - 6 u = 0

Since v = 4

u^{2} - 6 u - 16 = 0

By solving above equation

u^{2} + 2 u - 8 u - 16 = 0

u (u + 2) - 8 (u + 2) = 0

(u - 8)(u +2) = 0

u = 8 , - 2

Since u = -2 is not valid.

⇒ u = 8 \frac{mi}{hr}

This is the speed of the boat in still water.

3 0
3 years ago
Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó
Tasya [4]

Answer:

I'm sorry I just need points

Step-by-step explanation:

8 0
3 years ago
A jar contains 40 pennies, 18 nickels, 20 dimes and 12 quarters. Sophia chooses a coin at random, notes the result, and replaces
inysia [295]
19 times will be the amount of pennies
5 0
3 years ago
If the measure of ACB is 50 degrees, what is the measure of that AOB
Amiraneli [1.4K]

Answer:

100 degrees

Step-by-step explanation:

α=2θ

α=2(50)

α=100

4 0
3 years ago
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