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blondinia [14]
3 years ago
5

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express t

he product as a decimal rounded to the nearest tenth.
Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

19.2

Step-by-step explanation:

<u>1st Case:</u>

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

<u>2nd Case</u>

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

<u>Final Step</u>

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: <u>19.2</u>

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What is 7 1/12 - 2 3/4 in simplest form
stich3 [128]

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


6 0
3 years ago
Can you help me on this?
Illusion [34]

Answer:

y = 30

Step-by-step explanation:

We can use ratio's to solve this

40        20

-----  = -----------

100       20 + y


Using cross products

40 * (20+y) = 20*100

Distribute

800 + 40y = 2000

Subtract 800 from each side

40y = 2000-800

40y = 1200

Divide by 40

y = 1200/40

y =30

5 0
3 years ago
A file folder box is in the shape of a rectangular prism with a length of 12 inches, a width of 9 inches, and a height of 10 inc
Sonbull [250]
The answer is c 438 in 2
4 0
3 years ago
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Evaluate 9p^2 for p=4 . When p=4,9p^2=?
Licemer1 [7]

Answer:

  144

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  9p^2 = 9·4^2 = 9·16

  9p^2 = 144 . . . . when p=4

6 0
3 years ago
One angle of a right triangle measures 80degrees.what is the measure of the other acute angle
Damm [24]

Answer:

10 degrees

Step-by-step explanation:

1.) every triangle has angles that add up to 180 degrees

2.) a right triangle has a right angle and two acute angles

3.) right=90 degrees; acute=<90 degrees

4.) 90+80=170

5.) 180-170=10

3 0
2 years ago
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