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drek231 [11]
3 years ago
10

Find the lateral area of this cone. Leave your answer in terms of pi. 3cm 4cm

Mathematics
2 answers:
viva [34]3 years ago
7 0

Answer:

20

Step-by-step explanation:

lora16 [44]3 years ago
5 0
3cm because if you multiple each one you could divide to
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4m exponent 2 + 5m<br><br> help please
Gnesinka [82]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • 4m exponent 2 + 5m.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

By.. 4m exponent 2, I'm going to assume that you meant this ⇨ 4m². If so, then here's how you should solve your question. I've included 2 ways of solving the question. You can choose your method. I'd suggest the 2nd one since it's a whole lot easier than the first method.

<h3><u>Method </u><u>1</u><u> </u><u>:</u><u>-</u></h3>

\tt \: 4m  ^ { 2  }  +5m \\

Quadratic polynomial can be factored using the transformation \tt\: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), where \tt\:x_{1} and x_{2} are the solutions of the quadratic equation ax²+bx+c=0.

\tt \: 4m^{2}+5m=0

All equations of the form ax²+bx+c=0 can be solved using the quadratic formula: \tt\frac{-b±\sqrt{b^{2}-4ac}}{2a}\\. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

\tt \: m=\frac{-5±\sqrt{5^{2}}}{2\times 4}  \\

Take the square root of 5².

\tt \: m=\frac{-5±5}{2\times 4}  \\

Multiply 2 times 4.

\tt \: m=\frac{-5±5}{8}  \\

Now solve the equation m=\tt\frac{-5±5}{8} when ± is plus. Add -5 to 5.

\tt \: m=\frac{0}{8}  \\  \\  \tt \: m = 0

Now solve the equation m=\tt\frac{-5±5}{8} when ± is minus. Subtract 5 from -5.

\tt \: m=\frac{-10}{8}  \\

Reduce the fraction -10/8 to its lowest terms by extracting and cancelling out 2.

Factor the original expression using \tt\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Substitute 0 for \tt\:x_{1} \:and \:-\frac{5}{4} \:for\: x_{2}.

\tt \: 4m^{2}+5m=4m\left(m-\left(-\frac{5}{4}\right)\right)  \\

Simplify all of the expressions of the form \tt\:p-\left(-q\right) to p+q.

\tt \: 4m^{2}+5m=4m\left(m+\frac{5}{4}\right)  \\

Add 5/4 to m by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

\tt \: 4m^{2}+5m=4m\times \left(\frac{4m+5}{4}\right)  \\

Cancel out 4, the greatest common factor in 4 and 4.

\tt \: 4m^{2}+5m=   \boxed{\boxed{\bf \: m\left(4m+5\right) }}

<em><u>Don't</u></em><em><u> </u></em><em><u>worry.</u></em><em><u> </u></em><em><u>If </u></em><em><u>this </u></em><em><u>process</u></em><em><u> </u></em><em><u>seems </u></em><em><u>long </u></em><em><u>&</u></em><em><u> </u></em><em><u>wears </u></em><em><u>you</u></em><em><u> </u></em><em><u>out </u></em><em><u>or </u></em><em><u>if </u></em><em><u>you </u></em><em><u>haven't</u></em><em><u> </u></em><em><u>learned</u></em><em><u> </u></em><em><u>the </u></em><em><u>biquadratic</u></em><em><u> formula</u></em><em><u> </u></em><em><u>yet,</u></em><em><u> </u></em><em><u>you </u></em><em><u>can </u></em><em><u>just </u></em><em><u>use </u></em><em><u>the </u></em><em><u>simple </u></em><em><u>method</u></em><em><u> of</u></em><em><u> </u></em><em><u>factoring </u></em><em><u>out </u></em><em><u>the </u></em><em><u>common</u></em><em><u> </u></em><em><u>term </u></em><em><u>(</u></em><em><u>m)</u></em><em><u>.</u></em><em><u> </u></em><em><u>Here's</u></em><em><u> how</u></em><em><u> you</u></em><em><u> </u></em><em><u>do </u></em><em><u>that </u></em>\downarrow

<h3><u>Method</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u></h3>

\tt \: 4m  ^ { 2  }  +5m

Factor out m.

=  \boxed{ \boxed{ \bf \: m\left(4m+5\right) }}

See, the second method is easier. But, if your question comes for a lot of marks then you might prefer using the first method.

8 0
3 years ago
You pick two marbles from a bag containing 30 marbles: 3 green, 6 white, 4 red, 7 yellow, and 10 blue. Find the given probabilit
VARVARA [1.3K]
Total balls in bag(sample space)=30
Red balls=4
Green=3
White=6
Yellow=7
Blue=10
event P(E) = (Number of favorable outcomes) ÷ (Sample space).
So p(red)=no red balls/total balls in the marble
P(red)=4/30=2/15
P(blue)=10/30=1/3
P(white)=6/30=1/5
P(yellow)=7/30
P(green)=3/30=1/10
4 0
2 years ago
Please help, I’ll mark who’s ever right the Brainiest
sukhopar [10]

Answer:

0; 1/4; 1/2; 1.5; 1.75 and 1 and 3/4 are the same.

Step-by-step explanation:

6 0
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