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Maurinko [17]
3 years ago
12

Plz help I have a time limit

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:

Area 108cm2

Step-by-step explanation:

triangle =<em>1</em><em>/</em><em>2</em><em> </em><em>×</em><em>base</em><em>×</em><em> </em><em>height</em><em> </em>

rectangle =<em>length</em><em> </em><em>×</em><em> </em><em>width</em>

<em>then</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>area</em><em> </em><em>of</em><em> </em><em>each</em><em> </em><em>shape</em>

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I think the answer is B.
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3 years ago
Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?
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Answer:

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Step-by-step explanation:

<u>Use of formula:</u>

  • P(A and B) = P(A)*P(B|A) and
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<u>According to above and based on given:</u>

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  • P(B|A) = P(A|B)*P(B)/P(A)
  • P(B|A) = 0.20*0.40/0.25 = 0.32
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