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slava [35]
2 years ago
8

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of

the cocktail is apple juice?
Give your answer as a fraction in its simplest form.
Mathematics
1 answer:
Romashka [77]2 years ago
5 0

Answer:

5/9

Step-by-step explanation:

First, find the total number of mL in the drink:

20 + 10 + 15

= 45

There are 10 mL of apple juice, so the proportion will be 10/45

Simplify this by dividing the numerator and denominator by 5:

10/45

= 5/9

So, 5/9 is the proportion of the cocktail that is apple juice

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In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer
laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

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What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?
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10/2.5= 4 the answer is 4 meters because you just divide them. 

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Read 2 more answers
CAN SOMEONE HELP ME WITH THESE QUESTIONS PLEASE!?
sukhopar [10]

Answer:

Step-by-step explanation:

1.

(c+9)^2=64=8^2\\

c+9=±8

either c=8-9=-1

c=-8-9=-17

so c=-1,-17

D

2.

8x^2-3=2

8x^2=5

x^2=\frac{5}{8}=\frac{10}{16}

x=±\frac{\sqrt{10}}{4}

so A

3.

x^2+4x+4=18\\(x+2)^2=9*2\\x+2=3\sqrt{2} \\x=-2  ±3\sqrt{2}

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