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Maurinko [17]
2 years ago
14

I need help with both of those questions

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
4 0
Im nor sure which 2 you are reffering to, but I believe 5.1 x 10 to the power of 4 would be 51,000 and the shape with 3 unequal angles is a triangle?
zloy xaker [14]2 years ago
3 0
5.1x10 eqals to 51,000
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9 -4n+ 3n = 8n + 3 -3
ArbitrLikvidat [17]

Answer:

Answer:

n = 1

Step-by-step explanation:

This equation is just basic alegebra.  First, combine like terms to get

9 - n = 8n.  (Because 3 - 3 = 0, and -4n + 3n = -n.)  Now the equation is much simpiler;  add n to both sides to get 9 = 9n.  Divide 9 by both sides to get that n = 1.  

You can check your answer by plugging 1 in for n.  

9 - 4(1) + 3(1) = 8(1) + 3 - 3

9 - 4 + 3 = 8 + 3 - 3

5 + 3 = 11 - 3

8 = 8

Therefore, n is proven to equal 1.  

Hope this is helpful kid sorry i went very far yesterday hope you can forgive me but Anyways here it is <3

3 0
3 years ago
On this triangle which is the fifth row and third position.
NARA [144]

Answer:

1331

Step-by-step explanation:

Im not sure, get a second opinion

6 0
2 years ago
What is the smallest value of x, such that
gizmo_the_mogwai [7]

Answer:

Dude, where's the picture?

8 0
2 years ago
Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
2 years ago
Read 2 more answers
What is triangle angel sum theorem
Flauer [41]

The triangle angle sum theorem states that the 3 angles in the triangle must equal 180 degrees.

3 0
2 years ago
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