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victus00 [196]
3 years ago
11

Help me!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer:

area of rectangle =(8+3)×4

=44 ft^2

area of one tringle =

\frac{1}{2} 3 \times 3

=4.5 ft^2

area of next tranlge=

\frac{1}{2} 2 \times 3

=3ft^2

area of fig=44+4.5+3

=51.5 ft^2

=

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Answer:

Therefore the angle of intersection is \theta =79.48^\circ

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

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r'_1(t)=(2,2t,4t^3)

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

r'_1(0)=(2,0,0)      [ putting t= 0]

|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2

Again,

r'_2(t)=(cos t ,5 cos5t, 2)

The tangent at (0,0,0) is    

r'_2(0)=(1 ,5, 2)        [ putting t= 0]

|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}

If θ is angle between tangent, then

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\Rightarrow cos \theta =\frac{1}{\sqrt{30} }

\Rightarrow  \theta =cos^{-1}\frac{1}{\sqrt{30} }

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3 years ago
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Which ordered pair is a solution to the inequality?<br><br> Help please!!
Murrr4er [49]

Choice A is the answer which is the point (1,-1)

=========================================

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

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checking choice A

plug in (x,y) = (1,-1)

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This is true because -3 is equal to itself. So this is the answer.

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checking choice B

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checking choice C

plug in (x,y) = (-2,3)

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This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

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checking choice D

plug in (x,y) = (3,4)

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