Marvin says that all rhombuses are squares. Aretha says that all squares are rhombuses. who is correct?

1 answer:

8 0

To be a rhombus the quadrilateral must have all equal sides.
To be a square it must have all equal sides AND angles.

Squares are rhombi, but rhombi are not squares. Thus, <u />Aretha is correct.

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The heights of 4 students are 5 1/2 feet, 5.35 feet, 5 4/10 feet and 5.5 feet. What is the height in feet of the shortest studen

tester [92]

So 5 1/2ft is 5.50ft u have 5.35ft so 5 4/10 is 5.40ft and u have 5.5ft so the shortest one is 5.35ft
-1/5 is -.2 and -2/3 is -.66 repeated and u have 2 and u have .4 so it would be
-2/3,-1/5,0.4,2 is ure answer

4 0

3 years ago

What is the sum of all positive integers less than 300 which are divisible by 3

drek231 [11]

Answer:

14,850

Step-by-step explanation:

You need the sum of

3 + 6 + 9 + 12 + ... + 294 + 297

Factor out a 3 from the sum

3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)

You need to add all integers from 1 to 99 and multiply by 3.

The sum of all consecutive integers from 1 to n is:

[n(n + 1)]/2

The sum of all consecutive integers from 1 to 99 is

[99(99 + 1)]/2

The sum you need is 3 * [99(99 + 1)]/2

3 + 6 + 9 + 12 + ... + 294 + 297 =

= 3 * [99(99 + 1)]/2

= 3 * [99(100)]/2

= 3 * 9900/2

= 14,850

4 0

3 years ago

Can't figure it out!!

Zanzabum

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x} \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
\\\\\\
$

$\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}$

8 0

3 years ago

The recycling center collected 48,000 ounces of

Leona [35]

Answer: 1.5 tons

Step-by-step explanation:

Given

The recycling center collected 48,000 ounces of aluminum can

An ounce is the unit of weight and it can be expressed in tons as

$1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}$