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3 years ago

The sum of the four angles in a rectangle is always 180 degrees true or false?

2 answers:

7 0

A rectangle has 4 sides
each side is a right angle
a right angle by definition is 90 degrees
$90 + 90 + 90 + 90 = 360\\ or\\ 90 * 4 = 360$
False

Valentin [98]3 years ago

3 0

False because each side is 90° making it a total of 360° therefore it’s false

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The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det

tatiyna

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base}
\\\\\\
\cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\
-------------------------------\\\\$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}}
\\\\\\
\left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume}
\implies 
\cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v$

7 0

3 years ago

Does 4( − 11) = 15 − 4 have a solution , infinite or none?

QveST [7]

Answer:

The equation given has no solution.

Step-by-step explanation:

The equation given is:

$4( -11) = 15 -4$

$-44 = 11$

Therefore, this is false.

5 0

3 years ago

Which means the sum of w and 3.4 is greater than or equal to 10.5

zhuklara [117]

$w+3.4 \geq 10.5$

3 0

3 years ago

She serves the drinks at the interval. She serves 40 drinks in 20 minutes. What is the mean time she takes to serve 1 drink?

Alex Ar [27]

It takes her 2 minutes to serve 1 drink.

5 0

3 years ago

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Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f

Illusion [34]

Answer:

$8\%$

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping $\frac{6}{75}=0.08$ of the total. To convert this to a percentage, multiply by 100: $0.08\implies 0.08\cdot 100=\boxed{8\%}$

7 0

3 years ago

Read 2 more answers