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mestny [16]
2 years ago
8

Find the length of the third side of the right triangle.

Mathematics
1 answer:
lara31 [8.8K]2 years ago
8 0

Answer: you can use Pythagorean theorem , which formula is a^{2} + b^{2} =c^{2}, "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

4^2 + 6^2 = c^{2}

2) solve the exponents of the numbers given (not the letter, in this case "c")

16 + 36 = c^2

3) combine like terms (in this case 16 +36)

52 = c^2

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

\sqrt{52}  = \sqrt{c}

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

<h3><u><em>So  7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>
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An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck
kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300

\text{Weight of tires of the fully loaded semi-truck}=59,400

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

\text{Weight of 26 pallets of cargo}=59,400-30,000

\text{Weight of 26 pallets of cargo}=29,400

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

\text{Average weight of one pallet of cargo}=\frac{29,400}{26}

\text{Average weight of one pallet of cargo}=1130.769230769

\text{Average weight of one pallet of cargo}\approx 1131

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0
2 years ago
How can properties of operations be used to solve problems involving integers and rational numbers ​
Alika [10]

Answer: The properties of operations can be used to solve problems involving integers because it shows different way to find the answer.

Step-by-step explanation:

7 0
2 years ago
Which of the following options have the same value as 60\%60%60, percent of 949494?
garri49 [273]
<h2>Answer:</h2>

The correct options are:

        Choice A

       Choice C

and  Choice E

<h2>Step-by-step explanation:</h2>

We are asked to find the value of:

                   60% of 94

We know that: it is represented as:

  60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94

Choice A)

           0.06\cdot 940

We know that:

    0.6\times 94 could also be written as:

0.06\times 940

Since we multiplied and divide by 10 such that:

=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940

Hence, option: A is correct.

Choice B)

                  0.6\cdot 940

This option is incorrect.

Since by choice A we get that the correct expression is:   0.06\cdot 940

Choice C)

             We get:

        \dfrac{3}{5}\cdot 94

This option is correct.

Since,

60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94

Choice D)

                             60\cdot 94

This option is incorrect because the actual expression is:

         0.6\cdot 94

Choice E)

               [/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

5 0
2 years ago
Read 2 more answers
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4 = -1 and a6 = -1
adoni [48]

Answer:

Step-by-step explanation:

to find the arithmetic sequence with a4=-1 and a6=-13

first: find the difference: an=a+(n-1)d

a4=-1

that means a1+d(4-1)=-1 ( since a4 given and need to find a1)

a1+3d=-1 first equation

a1+d(6-1)=-13 ( a6 is given)

a1+5d=-13 second equation

a1+3d=-1

a1+5d=-13 ( find a and d by subtraction)

a1+3d-a1-5d=-1-(-13)

2d=12

d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)

difference =-6

a1=17

a1,a2,a3,a4,a5,a6,....

the sequence is : 17,11,5,-1,-7,-13,.....

hope it works

5 0
2 years ago
a pool is in the shape of a rectangular prism holds 1800 cubic feet of water. the pool is 6 feet deep and 10 feet wide. what is
nadya68 [22]

Answer:

Step-by-step explanation:

length = 1800 / 6/10 = 30 ft long = 10 yard

7 0
2 years ago
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