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Lynna [10]
4 years ago
14

What is the value of x? Round your answer to the nearest tenth if necessary.

Mathematics
2 answers:
Nastasia [14]4 years ago
6 0
X is equal to 1.2, I think.
Rudiy274 years ago
5 0
To solve this we'll use Pythagorean theorem.
Which is a^2+b^2=c^2

C is the hypotenuse, and a or b can be either leg.
Because we start with the hypotenuse we rearrange the equation to be c^2-a^2= b^2

-A and B are universal, so you can plug them into either one-

So
20^2-14^2=b^2
Take note that b is raised to the 2nd power
So in order to undo it we'll square root it

To solve this we'll use Pythagorean theorem.
Which is a^2+b^2=c^2

C is the hypotenuse, and a or b can be either leg.
Because we start with the hypotenuse we rearrange the equation to be c^2-a^2= b^2

-A and B are universal, so you can plug them into either one-

So
20^2-14^2=b^2
Take note that b is raised to the 2nd power
So in order to undo it we'll square root it


√(204=14.282856857
We then go to the tenth place, So the answer is rounded to 14.3

X=14.3
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25x^2+9y^2+72y-81=0. Find the standard form of the equation by completing the square. Then identify and graph each conic.
olasank [31]
          25x² + 9y² + 72y - 81 = 0
                   25x² + 9y² + 72y - 81 + 81 = 0 + 81
                                   25x² + 9y² + 72y = 81
                           25x² + 9(y² + 8y + 16) = 81 + 9(16)
                   25x² + 9(y² + 4y + 4y + 16) = 81 + 144
           25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
                  25x² + 9(y(y + 4) + 4(y + 4)) = 225
                            25x² + 9(y + 4)(y + 4) = 225
                                     <u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
                                     225         225       225
                                         <u> x²</u> + <u>9(y + 4)²</u> = 1
                                         25        25

The conic section is an ellipse.
8 0
3 years ago
the value of a new automobile depreciates 15% during the first year, and 16% during the second year. What is its depreciated val
Flauer [41]
It starts at 100% - 15% = 85% after the first year. $15,000*0.85 = $12,750
The second year is further reduced 100% - 16% = 84%
$12,750*0.84 = $10,710


3 0
3 years ago
The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.
lawyer [7]
Given:Length = 4,450.5 metersWidth = 2,890 meters
1 kilometer = 1,000 meters
Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km
Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km
4.4505 km - 2.89 km = 1.5605 km
The length of the fence is 1.5605 km longer than the width of the fence.

3 0
3 years ago
The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=7.5x. The installation fee i
Lady bird [3.3K]

Answer:

Refer below

Step-by-step explanation:

Installation fee equation will be added onto the original equation

So g = base cost + percent cost + $100

(Cost of carpet) ---> g = $7.5x + ($7.5x * 0.05) + $100

Plug in 150 into the formula that gives you $1281.25

Make sure to study these, questions like these will for sure strengthen your math skills

6 0
3 years ago
Read 2 more answers
PLEASE HURRY!! The graph shows the distance traveled by two cars over several minutes.
tamaranim1 [39]
Im late but i had this test its car A < rate of car B hope it helps
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3 years ago
Read 2 more answers
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