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sammy [17]
3 years ago
11

Help with math hw please

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer:

27.2

Step-by-step explanation:

x is the hypotenuse.

For the 54-deg angle, 22 is the opposite leg.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

In general:

sin A = opp/hyp

We have:

sin 54 = 22/x

x sin 54 = 22

x = 22/sin 54

x = 27.193

Answer: 27.2

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A bottle contains 255 coins. 1/3 of the coins are ?1.00. 110 of the coins are 50p coins. the rest are 20p coins. work out the to
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Answer:

£152.

Step-by-step explanation:

We have been given that a bottle contains 255 coins. 1/3 of the coins are  £1.00.

Let us find 1/3 of 255 to find the number of £1 coins.

\£1\text{ coins}=\frac{1}{3}\times 255

\£1\text{ coins}=85

This means we have £85.

We are also told that 110 of the coins are 50 p coins.

\text{Value of 50 p coins}=\£0.50\times 110

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Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.

\text{Number of 20 p coins}=255-(85+110)

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\text{Number of 20 p coins}=60

\text{Value of 20 p coins}=\£0.20\times 60

\text{Value of 20 p coins}=\£12

Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.

\text{The total value of the coins}=\£85+\£55+\£12

\text{The total value of the coins}=\£152

Therefore, the total value of the coins contained in the bottle is £152.

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Answer: <em>x = 1.25</em>

Step-by-step explanation:

<em>HF - is the middle line of the triangle ABC.</em>

HF=\dfrac{1}{2} AB\\\\HF=4x+1\\AB=12x-3\\\\4x+1=\dfrac{1}{2}  \cdot (12x-3)\\\\4x+1=\dfrac{12x-3}{2} \\\\(4x+1) \cdot 2 =12x-3\\8x+2=12x-3\\8x+2-12x=12x-3-12x\\-4x+2=-3\\-4x+2-2=-3-2\\-4x=-5\\-4x \cdot (-1)=-5 \cdot (-1)\\4x=5\\4x \div 4=5 \div 4\\x=1.25

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