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Masteriza [31]
3 years ago
11

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If neces

sary, round to the nearest tenth.
Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

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3√12•√6<br><br>please show a step by step explanation ​
Oduvanchick [21]

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

Therefore, 3\sqrt{12}*\sqrt{6} = 18\sqrt{2}

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

5 0
3 years ago
In 1985, the cost of clothing for a certain familiy was $620. In 1995, 10 years later, the cost of clothing for this famility wa
Sholpan [36]

Answer:

$848

Step-by-step explanation:

Calculation for the cost of this familiy's clothing in 1991

First step is to calculate the amount that is increase per year

Increase per year= ($1000-$620)/(1995-1985)

Increase per year= 380/10

Increase per year= $38

Now let y be :38*x + $620 and let x be 6 years (1991-1985)

Second step is to calculate the cost of the clothing in 1991

y = 38*6 + 620

y=228+620

y = $848

Therefore the cost of this familiy's clothing in 1991 will be $848

6 0
3 years ago
The sum of a number and twenty-six, divided by twelve is equal to seven! <br><br> Please!!
Travka [436]

Answer:

58

Step-by-step explanation:

1. let x be the unknown number

2. make an expression

x + 26/12 = 7/1

3. cross multiply

x +26 × 1 = x + 26

12 × 7  = 84

 x + 26 = 84

4. move variables on one side and numbers on other side of the equal sign

x + 26 = 84

   - 26    -26

x = 58

4 0
3 years ago
2) 9 lbs. of mixed nuts containing 55% peanuts were
Sonbull [250]

Answer:

<em>The new mixture is 49% peanuts.</em>

Step-by-step explanation:

The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:

9*55/100=4.95 lb

The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:

6*40/100=2.4 lb

The total quantity of peanut in the mix is

4.95 lb + 2.4 lb =7.35 lb

There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:

7.35 / 15 * 100 = 49%

The new mixture is 49% peanuts.

6 0
3 years ago
HELP PLEASE
viktelen [127]
The answer is 3/9 or 1/3 chance of selecting a pair of white socks
4 0
3 years ago
Read 2 more answers
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