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julsineya [31]
3 years ago
10

Two third of a number is 30. find the number​

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

The number is 45

Step-by-step explanation:

Let number = x

2/3 x = 30

x = 30/2/3

x = 30×3/2

x = 90/2 = 45

The number is 45

2/3 ×45= 90/3 = 30

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Answer:

x = 1/2, y = 17/2

x = -3, y = 12

7 0
4 years ago
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Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2​
Oxana [17]

Answer:

The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Step-by-step explanation:

    sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})

            Multiply and Divide by 2cos(\frac{\pi }{14})

= \frac{2sin(\frac{\pi }{14})cos(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})}{2cos(\frac{\pi }{14})}

⇒ Let \frac{\pi }{14} = Ф  and 7Ф = \frac{\pi }{2}

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ               ∵cos7Ф = 0      

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ                              

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ      ∵sin7Ф = 1  

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

#learnwithBrainly

4 0
4 years ago
Right four decimals with the digit 4 in a different place in each-ones, tenths, hundredths, and thousandths. Then write a statem
Rzqust [24]
In the ones 4.000
tenths is 0.40
hundredths is 0.040
thousandths is 0.004
8 0
3 years ago
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Para hacer una ración de puré de papa se necesita 1/5 de kg. ¿Cuántas raciones se pueden hacer con 7/4 de kg?
Talja [164]

Answer:

Cantidad de raciones=  8.75 raciones

Step-by-step explanation:

Dada la siguiente información:

Para hacer una ración de puré de papa se necesita 1/5 de kg.

<u>Vamos a pasar las cantidades a décimales:</u>

Ración puré= 0.2kg

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<u>Ahora, dividimos la cantidad total por la cantidad unitaria:</u>

Cantidad de raciones= 1.75/0.2

Cantidad de raciones=  8.75 raciones

6 0
3 years ago
A young sumo wrestler goes on a special diet to gain weight. The variable w models the wrestlers weight in km after the wrestler
svetlana [45]

Answer:

10.8kg

Step-by-step explanation:

Before he was on the diet he already weighed 80 kilograms, so it is not important to determining how much weight we gains in two months.  Instead we need to focus on the 5.4t part of the equation.  t represents the number of months so we need to substitute 2 for t and you get

5.4t

5.4(2)

10.8kg

5 0
3 years ago
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