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fomenos
3 years ago
8

Find the missing side of the triangle. Round your answer to the nearest tenth if necessary.

Mathematics
2 answers:
Lemur [1.5K]3 years ago
4 0
X = 5 km

Explanation:

(Since the triangle is a right triangle, we can use the Pythagoras Theorem)

Using the Pythagoras Theorem,
x^2 = 13^2 - 12^2
x^2 = 169 - 144
x^2 = 25
x = 5 km
Natasha_Volkova [10]3 years ago
4 0
<h3>Answer</h3>

Missing side of triangle is 5 km.

<h3 /><h3>step -by -step explanation</h3>

Here we have

Perpendicular = 12 km

missing side = base = x

hypotenuse = 13 km

And since , we have given right triangle in a question . So we can use Pythagoras theorem

Pythagoras theorem

(Perpendicular) ²+(Base) ²= (hypotenuse) ²

substitute the value

( 12 km ) ² + ( x ) ² = ( 13 km ) ²

Multiplying the values

144 km ² + x² = 169 km²

now Solve it

x ² = 169 km² - 144 km²

x ² = 25 km ²

x = √25 km²

x = 5 km.

Hence , missing Side of triangle is 5 km.

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Find f f'(x)=1+3sqrt(x) f(4)=25
wlad13 [49]
It appears that you have a derivative and want to integrate...

dy/dx=1+3√x 

y(x)=x+(2/3)x^(3/2)+C  you are given that f(4)=25 so we can solve for the constant of integration...

y(4)=25=4+16/3+C

21=16/3+C

(63-16)/3=C

47/3=C so

f(x)=x+(2/3)x^(3/2)+47/3

f(x)=(3x+2x^(3/2)+47)/3


6 0
3 years ago
How do You supposed to do this i need many method to do it.
defon
I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)

There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)

Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation. 
4 0
3 years ago
No work needed! pythagorean theorem.
Ulleksa [173]

2) x = 4

4) x = sqrt(106) = 10.3

7 0
3 years ago
A sphere has a volume of V=900 in cubed. What is the surface area?
ycow [4]
First, we must solve for the radius of the sphere:
V=\frac{4}{3}\pir^{3}
r=(3\frac{V}{4 \pi })^{ \frac{1}{3} }
r=(3*\frac{900}{4 \pi })^{ \frac{1}{3} }
r≈5.99

Second, we must solve for surface area:
A=4\pir^{2}
A=4*\pi*5.99^{2}
A≈450.88 in^{2}
4 0
3 years ago
Sofia's poster is 0.75 meter long. Rafael's poster is 0.35 meter less than 1 meter long. Which expression shows the difference i
Nady [450]
0.75 - (1-0.35) or 0.75 - 1 + 0.35
5 0
3 years ago
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