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Diano4ka-milaya [45]
3 years ago
7

What number is 70% of 120?

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

The number is 84

Step-by-step explanation:

Is means equals and of means multiply

What number is 70% of 120?

W = 70% * 120

W = .70 *120

W = 84

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vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

brainly.com/question/14746686

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5 0
1 year ago
PLease tell me the inequalities and the answers also label which problems you d. I was out sick and I have no idea what to do lo
tatuchka [14]

Answer:

1) Amy can invite 17 people.

2) x > 76

3) 40 - 6 is greater than or equal to 3x

4) x is greater than or equal to 98

Step-by-step explanation:

1) 50 + 8x = 200

2) 200 < 3x - 28

3) 40 = 6 +3x

4) (95 + 78 + 89 + x)/4 is greater than or equal to 90

3 0
3 years ago
What is 1 4/9 multiplied by 2
AnnZ [28]

Answer:

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Step-by-step explanation:


5 0
4 years ago
Read 2 more answers
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Ivahew [28]

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

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3 years ago
Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in
Nat2105 [25]

Step-by-step explanation:

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\frac{x}{4}  =  \alpha  \\  \frac{x}{2}  = 2 \alpha

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

{3}^{ \alpha }  \times 12 \: and \:  {4}^{ \alpha }  \times 12 \:  \\ where \:  \alpha  \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers

8 0
3 years ago
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