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3 years ago

Simplify the surd 3√ 20 +√ 45

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

4 0

9/- 7dndusjjsjddkkdkdksksjdid

melisa1 [442]3 years ago

3 0

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

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Pls help me with geometry

vodomira [7]

Answer:

x=2

z=80

Step-by-step explanation:

Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.

7x+66+11x+78=180

18x+144=180

18x=36

x=2

z=7x+66=7(2)+66=14+66=80

Hope this helps!

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3 years ago

Find the sum of 29 and the product of 2 and 9 and the difference between 2and9

jekas [21]

Answer:

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3 years ago

PLZ HELP/...... :) :?

alexdok [17]

Answer:

3 gallons of diesel weight = 22.2 pounds

The constant of variation = 7.4

The quantities vary directly

Step-by-step explanation:

Given:

5 gallons of gas weights = 37 pounds

To find

a) the weight of 3 gallons of gas.

b) if the quantities vary directly or inversely.

c) the constant of variation.

Solution:

Applying unitary method to find weight of 3 gallons of gas.

If 5 gallons weight = 37 pounds

Then, 1 gallon will weight = $\frac{37}{5}$ =7.4 pounds

Thus, 3 gallons will weight = $3\times 7.4$ = 22.2 pounds

Listing out the data we have:

1 gallon = 7.4 pounds

3 gallons = 22.2 pounds

5 gallons = 37 pounds

From the data, we find out that as the number of gallons of gas increases the weight of gas also increases. This shows that these quantities are directly proportional to each other.

The unit rate of the quantities is called the constant of variation.

Unit rate: 7.4 pounds per gallon

Thus, the constant of variation = 7.4

8 0

3 years ago

What is 2 1/3 multiplied by 5?

Mariana [72]

You first need to change 2 1/3 into a mixed fraction, which would be 7/3 and multiply by 5/1, which would be 35/3, and then divide 35 and 3 to get and answer of 11 2/3, which is the answer.

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3 years ago

What percent of 67 is 33? Round to the nearest tenth of a percent

julia-pushkina [17]

We will make a proportion:
67 : 33 = 100 : x
67 x = 33*100
67 x= 3300
x= 3300/97= 49.2537
Round to the nearest tenth:
Answer: 49.3%.

3 0

3 years ago

Simplify the surd 3√ 20 +√ 45 ​

Simplify the surd 3√ 20 +√ 45