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lesya692 [45]
3 years ago
11

Can a triangle have sides with the given lengths? Explain. 3 ft, 6 ft, 16 ft

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

no

Step-by-step explanation:

The givens lengths are too steep for the triangle to be closed, therefore it cannot be a triangle

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Find the volume of the cone whose base is shown and whose altitude is 8 meters.
Aloiza [94]
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\stackrel{base~area}{\pi r^2}\cdot \cfrac{1}{3}\stackrel{height}{h}\\\\
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\textit{base of this cone}\\\\
B=\stackrel{a~square}{5\cdot 5}+\stackrel{semi-circle}{\frac{\pi r^2}{2}}\implies B=25+\frac{\pi 3^2}{2}\\\\\\ B=\stackrel{square}{25}+\stackrel{semi-circle}{\frac{9\pi }{2}}
\\\\\\
\textit{height of this cone is just 8}\\\\
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\bf \textit{volume of this cone}\\\\
V=B\cdot \cfrac{1}{3}h\implies V=\left( 25+\cfrac{9\pi }{2} \right)\left( \cfrac{8}{3} \right)
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V=\cfrac{200}{3}+\cfrac{3\pi\cdot 4 }{1}\implies V=\cfrac{200}{3}+12\pi
7 0
4 years ago
Check all that apply.<br> x2 + 4x - 9 = 5x + 3
kakasveta [241]

Answer:

The solution set is (-3, 4).

Step-by-step explanation:

x2 + 4x - 9 = 5x + 3

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x = -3, 4.

8 0
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Zigmanuir [339]

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

4 0
3 years ago
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boyakko [2]
In order for you to get the answer you must divide. Find a number the goes into both 9 and 81. You're lucky 81 is a multiple of 9. So we can use 9. So 9/81 divided by 9.
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4 years ago
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Lionel is planning a one-day outing.
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For this case, the first thing we must do is define variables.

We have then:

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y = 5x + 40

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y = 3x + 60

Answer:

A system of equations that could be used to determine the solution where the cost per ride of the two amusement parks, and, is the same is:

y = 5x + 40

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