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sesenic [268]
3 years ago
9

Solve for 3.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer:

lesser: x = -3

greater: x = 3

Step-by-step explanation:

2x^{2} =18\\x^{2} =9\\x=-3, x=3

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How would I go about solving this problem???
schepotkina [342]
So.. if you take a peek at the picture below

the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters

what's the volume?   well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both

\bf \textit{volume of a cylinder}\\\\

\begin{array}{llll}
C=\pi r^2 h\\\\
\textit{half that}\\\\
\cfrac{\pi r^2 h}{2}
\end{array}\qquad 
\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}\implies \cfrac{C}{2}=\cfrac{\pi \left(  \frac{1}{2}\right)^2 2}{2}\\\\
-----------------------------\\\\
\textit{volume of a square}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height
----------\\
l=1\\
w=1\\
h=2
\end{cases}\implies V=2



now.. for the surface area... \bf \textit{surface area of a cylinder}\\\\
\begin{array}{llll}
S=2\pi r(h+r)\\\\
\textit{half that}\\\\
\cfrac{2\pi r(h+r)}{2}
\end{array}\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}

now.. for the surface area of the prism... well

is really just 6 rectangles stacked up to each other at the edges

so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then

for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2

then add both surface areas, and that's the surface area of the trunk

5 0
3 years ago
If the area of a triangular garden is 156 sq ft, and the base of this garden is 13 feet wide, what is the height?
Ilia_Sergeevich [38]

Answer:

height is =area  dived by base

Step-by-step explanation:

156 divide 13 is 12

so the answer of height is 12.......hope u understand dear

5 0
3 years ago
Read 2 more answers
Which equation could have been used to create this graph?
Pavlova-9 [17]
C
Y=X+9
9 is called y intercept that's where pt starts
The number is front of X is called slope if no number it's 1 so it's 1/1 one up and one right up positive right positive start from 9
8 0
3 years ago
I need help thank you
Andreyy89

Answer: A

Step-by-step explanation:

For this problem, we need to understand how translations work.

As you can see, the triangles only slide to the right side, along the x axis. Therefore, we can eliminate B and C.

Now, we can see that the triangle has shifted by +8 units. Therefore, A is the correct answer.

7 0
3 years ago
Proportions in Triangles (2)
forsale [732]

Answer:

  x = 6

Step-by-step explanation:

An angle bisector divides the segments on either side of it so they are proportional. That is ...

  x/12 = 5/10

  x = 12(5/10) = 6 . . . . . multiply by 12

6 0
3 years ago
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