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Anuta_ua [19.1K]
3 years ago
15

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

ow high up the tree does the top of the ladder reach? 2.4 feet 6.0 feet 9.2 feet 10.8 feet
Mathematics
2 answers:
strojnjashka [21]3 years ago
7 0

Answer:

C

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = \sqrt{10^2-4^2} =\sqrt{84} ≈ 9.2 feet

The answer is C.

scZoUnD [109]3 years ago
7 0

Answer:

9.2 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the ground and the tree

10² = 4² + h²

h² = 100 - 16

h² = 84

h = 9.16515139

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If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=5\\
V=2200\pi 
\end{cases}\implies 2200\pi =\pi (5)^2h
\\\\\\
\cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies  88=h
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2 years ago
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A triangle ABC has its vertices at A(-2, -3), B(2, 1), and C(5,-1).
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B(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{( 5- 2)^2 + ( -1- 1)^2} \\\\\\ BC=\sqrt{3^2+(-2)^2}\implies BC=\sqrt{9+4}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) ~\hfill CA=\sqrt{( -2- 5)^2 + ( -3- (-1))^2} \\\\\\ CA=\sqrt{(-7)^2+(-3+1)^2}\implies CA=\sqrt{49+(-2)^2}\implies \boxed{CA=\sqrt{53}}

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Nonamiya [84]

Answer:

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Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

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            Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= length\times width\times height

Volume of prism= 6\times 3\times 4= 72

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ivanzaharov [21]

Answer:

Step-by-step explanation:

let y=ab^x

x=0,y=18

18=ab^0=a

a=18

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1152=18b^{2}\\b^{2}=\frac{1152}{18}=64=8^2\\b=8\\so~y=18(8)^x

7 0
2 years ago
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Answer: 1, 3, 4, and 5 but stick with 1, 3, and 4

Step-by-step explanation:

just use a calculator to find 3, 4 is easy because red normally has more, and one is just an estimate

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