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serious [3.7K]
3 years ago
5

2. Find the missing side length of the right triangle below?

Mathematics
2 answers:
Rudik [331]3 years ago
6 0

Answer:

x=16

Step-by-step explanation:

Use Pythagoras's Therom.

a^2+b^2=c^2

Insert the values.

12^2+x^2=20^2

Now simplify.

144 + x^2 = 400

Isolate x by subtracting 144 from both sides.

x^2= 400-144= 256

Take the square root of both sides.

x=16

Hope this helps!

strojnjashka [21]3 years ago
3 0

Answer:

The answer for the missing side length is 16

Step-by-step explanation:

You have to use Pythagorean's Theorem a^2 + b^2 = c^2

c^2 is the hypotenuse, which is 20 in this case

a^2 is the bottom, which is 12

and you have to solve for b^2

So

a^2 + b^2 = c^2

12^2 + b^2 = 20^2

b^2 = 20^2 - 12^2

b^2 = 400 -144

\sqrt{b^2} = \sqrt{256}       This cancels out the exponent

b = 16

That's the missing side length

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Graph the system of equations on graph paper.
masha68 [24]
<span>4. The x-coordinate of the solution is 9.
</span><span>5. The y-coordinate of the solution is −8 .
</span><span>6.The ordered pair that is the solution to the system lies in Quadrant IV .</span><span>

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)

Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)

Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)

Collect results:

Answer:  {x = 9 , y = -8
</span>

5 0
3 years ago
Read 2 more answers
A company rents out 15 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $3 per day. The
mash [69]

Answer:

2,750+170d

Step-by-step explanation:

Calculation to Enter and simplify an expression for the amount in dollars that the company is paid

First step

Let d represent numbers of day

15(100+3d)

Second step is the Expression for the food booths

25(50+5d)

Third step is Expression for the game booths

15(100+3d)+25(50+5d)

Fourth step is the Expression for both game and food booths

15*100+15*3d+25*50+25*5d

=1,500+45d+1,250+125d

Fifth step is to make use of distributive Property

1,500+1,250+45d+125d

Last step is to make use of cumulative property

(1,500+1,250)+(45d+125d)

=2,750+170d (combine like terms)

Therefore expression for the amount in dollars that the company is paid is 2,750+170d

6 0
3 years ago
Please show your work
Allushta [10]

Answer:

x = 56

Step-by-step explanation:

Use tangent function.

\tan(x)  =  \frac{18}{12}

Take the arctan

\tan {}^{ - 1} ( \frac{18}{12} )

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

8 0
3 years ago
Read 2 more answers
Easy math question Help this is due today
garri49 [273]

Answer:

6. 4.8m

7. a. 48 b. 31.4 c. 170

Step-by-step explanation:

6. 4.5^2 x 1.6^2 = c^2

   22.81 = c^2

   square root of 22.81 = 4.8

7.

a. 12^2 x 16^2 = c^2

   400 = c^2

   square root of 400 is 20, 20 + 12 + 16 = 48

b. 9^2 x b^2 = 13^2

   88 = b^2

   square root of 88 is 9.4, 9.4 + 9 + 13 = 31.4

c. 25^2 x b^2 = 65^2

   3600 = c^2

   square root of 3600 is 60, 60 + 60 + 25 + 25 = 170

4 0
3 years ago
Read 2 more answers
Can someone please help me on this question? This question has 2 answer choices. Thank you.
grin007 [14]
Hello!

To solve this you have to find the ratio between the two cylinders

Cylinder 1 height is 30
Cylinder 2 height is 20

this is a 30:20 ratio

This can be reduced to a 3:2 ratio

Now you look for one that are also equal to 3:2

3 * 7 = 21
2 * 7 = 14

The answers are 3:2 and 21:14

Hope this helps!
4 0
3 years ago
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