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Alex73 [517]
3 years ago
10

In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of

the cocktail is coconut milk? Give your answer as a fraction in its simplest form.
Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

9 / 20

Step-by-step explanation:

We can form a ratio with the information "for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk"

25 : 30 : 45

Total = 100

Coconut milk = 45 ml

45 / 100 = 9 / 20

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andreyandreev [35.5K]

Answer:

5 6

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6 0
3 years ago
Answer with proper units too!
EastWind [94]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

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3 0
3 years ago
How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
ziro4ka [17]

Answer:

\displaystyle x = \frac{\pi}{3} +k\, \pi or \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi, where k is an integer.

There are three such angles between 0 and 2\pi: \displaystyle \frac{\pi}{3}, \displaystyle \frac{2\, \pi}{3}, and \displaystyle \frac{4\,\pi}{3}.

Step-by-step explanation:

By the double angle identity of sines:

\sin(2\, x) = 2\, \sin x \cdot \cos x.

Rewrite the original equation with this identity:

2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0.

Note, that 2\, (2\, \sin x \cdot \cos x) and (-2\, \sin x) share the common factor (2\, \sin x). On the other hand, 2\sqrt{3}\, \cos x and (-\sqrt{3}) share the common factor \sqrt[3}. Combine these terms pairwise using the two common factors:

(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0.

Note the new common factor (2\, \cos x - 1). Therefore:

\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0.

This equation holds as long as either \left(2\, \sin x + \sqrt{3}\right) or (2\, \cos x - 1) is zero. Let k be an integer. Accordingly:

  • \displaystyle \sin x = -\frac{\sqrt{3}}{2}, which corresponds to \displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi and \displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi.
  • \displaystyle \cos x = \frac{1}{2}, which corresponds to \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi and \displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi.

Any x that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

  • \displaystyle x = \frac{\pi}{3} + k \, \pi (from \displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi and \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi, combined,) as well as
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7 0
3 years ago
Question 11-(3 marks available)
klasskru [66]

Answer: 1080 cm^{2}

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 cm^{2}

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 cm^{2}

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 cm^{2}

to know more about prism,

brainly.com/question/16128664

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1 year ago
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Olin [163]

Answer:

D

Step-by-step explanation:

we first dilate it, making it the same size, then translate it to the right. I hope I have helped :)

8 0
3 years ago
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