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S_A_V [24]
3 years ago
13

In the right triangle shown in the diagram below,

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

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A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
Maslowich

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

4 0
3 years ago
Read 2 more answers
You are assigned 32 math exercises for homework. You complete 87.5 of these before dinner. How many do you have left to do after
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Answer:

4

Step by step:

This is if the question is saying you completed 87.5% of the exercises. Otherwise, I don't know what it is asking.

87.5% of 32=28

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2 years ago
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Oksi-84 [34.3K]

Answer: THE ANSER IS A. No, the domain value 5 corresponds to two range values, -8 and 5.

Find the domain and range.

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{ 6 ,  5  , 1 }

Range:

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Determine if the relation is a function.

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3 years ago
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Answer:

No solution.

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2x + y = 7

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y = 7 - 2x

Plug this into the second equation:

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-2x  + 2x = 6 + 7

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No solution.

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