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Mazyrski [523]
2 years ago
9

Solve for x in the triangle,round your answer to the nearest tenth

Mathematics
1 answer:
Nuetrik [128]2 years ago
5 0
Cosine = adjacent / hypotenuse

cos (49)= x/27
27 * cos(49) = x
27 * 0.656 = x
x = 17.7
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Use the definition of the derivative to differentiate v=4/2 pie r^3
nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0
2 years ago
30 POINTS,NEED HELP ASAP !!!
zaharov [31]

Answer: OPTION A.

Step-by-step explanation:

You can observe that in the figure CDEF the vertices are:

C(-2,-1),\ D(-2,0),\ E(2,2)\ and\ F(2,1)

And in the figure C'D'E'F'  the vertices are:

C'(-8,-4),\ D'(-8,0),\ E'(8,8)\ and\ F'(8,4)

For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:

For C'(-8,-4) and C(-2,-1):

\frac{-8}{-2}=4\\\\\frac{-4}{-1}=4

Let's choose another vertex. For E'(8,8) and E(2,2):

\frac{8}{2}=4\\\\\frac{8}{2}=4

You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.

Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:

(x, y)→(4x, 4y)

7 0
3 years ago
Read 2 more answers
The sum of a number and twice its reciprocal is 3. What are the numbers?
qwelly [4]

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

X= 2 or x =1

If this answer was helpful then please mark it as the brianliest

3 0
2 years ago
What is <br><br><br> x+2/4 = 5/3
tamaranim1 [39]

Answer:

x=7/6

Step-by-step explanation:

x+2/4=5/3

  -2/4  -2/4

x=5/3-2/4=7/6

3 0
3 years ago
Read 2 more answers
How many solutions are there to this equation 3(x-4)+5-x=2x-7
Svetlanka [38]
3x-12+5-x=2x-7
2x-7 =2x-7

Means there are infinite solutions.
8 0
3 years ago
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