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amid [387]
3 years ago
9

1)The average height of 4 boys is 1.65m. One boy is 1.68m tall. Find the average height of the other 3 boys.

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0
1)
If the average height of the 4 boys is 1.65m that means the total of their heights is 6.6m

To get the average height of the other 3 boys you have to take away the one boys height from the total and divide that number by 3

6.6-1.68 = 4.92
4.92/3 = 1.64

Therefore the average height of the other three boys is 1.64m

2)
To do this you first find the total of the parts of the ratio so
4+7+9 = 20

Next you find what percentage each part is worth so
100/20 = 5
This means that each part of the ratio is worth 5% of the total sum

Because John received the 7 in the 4:7:9 ratio you times 7 by 5
7x5 = 35

Therefore John got 35% of the total sum of the money

3)
The formula for finding the discounted price using the percentage discount is
Discounted Sale price = (100% - %Discount) x Regular Sale Price

Using this formula to find the discounted sale price you do

(100% - 15%) x 800
= 85% x 800
= 680
Therefore the selling price of the refrigerator is $680

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4 0
3 years ago
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

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Multiply this expression :: -2/7 • (-3 5/8)​
Helen [10]

Answer: 29/28

Step-by-step explanation:

-2/7 x (-3 5/8)

= -2/7 x -29/8

= 2/7 x 29/8 = 1/7 x 29/4

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7 0
3 years ago
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