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3 years ago

The radius of a cylinder is 5 cm and the height is 7 cm.

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

Step-by-step explanation:

Lateral Area of a Cylinder is A = 2πrh

Substitue the values in the above equation to get:

A = 2(π) * 5 * 7

A = 70 π

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On a test, Shoshana got 65% or 23.4 of the items correct? How many items were on the test?

Marizza181 [45]

65 % ------------------ 23.4 items
100 % ----------------- x items
65 : 100 = 23.4 : x
65 x = 100 * 23.4
65 x = 2340
x = 2340 : 65
x = 36
Answer: there were 36 items on the test.

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2 years ago

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I need help with #11

Troyanec [42]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template in mind, let's take a peek at this function

$\bf \begin{array}{lllcclll}
y=&2(&1x&-2)^2&-4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
A\cdot B=2\impliedby \textit{shrunk by a factor of 2, of half-size}\\\\
\cfrac{C}{B}= \cfrac{-2}{1}\implies -2\impliedby \textit{horizontal right shift of 2 units}\\\\
D=-4\impliedby \textit{vertical down shift of 4 units}$

so, the graph of y=2(x-2)²-4, is really the same graph of y=x², BUT, narrower, and moved about horizontally and vertically

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3 years ago

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Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t

Vanyuwa [196]

An infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
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3 years ago

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Given: AB ≈ DC ; AC ≈ DB

Anit [1.1K]

Answer:

Step-by-step explanation:

Given:

AB ≅ DC and AC ≅ DB

To Prove:

ΔABC ≅ ΔDCB

Statements Reasons

1). AB ≅ DC and AC ≅ DB 1). Given

2). BC ≅ CB 2). Reflexive property

3). ΔABC ≅ ΔDCB 3). SSS property of congruence

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Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about po

Gemiola [76]

Answer:

Step-by-step explanation:

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3 years ago

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