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konstantin123 [22]
3 years ago
8

Lin is planting a circular garden of tulips. She plans to plant four different colors in equal amounts. The garden will have a d

iameter of 24 feet.
Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

113 square feet

Step-by-step explanation:

Given

d = 24 --- diameter

See attachment for complete question

Required

Determine the area of each color

First, we calculate the area of all colors

Area = \frac{\pi d^2}{4}

This gives:

Area = \frac{22 * 24^2}{7*4}

Area = \frac{12672}{28}

Area = 452.57

Since all 4 colors have equal areas, the area of 1 of them is:

A = \frac{1}{4}Area

A = \frac{1}{4} * 452.57

A = 113.14ft^2

A = 113ft^2 --- approximated

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A triangle has an area of 9m2 and a base of 6m. how do I find the height of this triangle?
KonstantinChe [14]
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8 0
4 years ago
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
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aalyn [17]

Answer:

2/24

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rule is y=12x (Flavoring = x, Water = y)

Ex: y=12x

24=2x

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3 0
4 years ago
If cosA+sinA=√2, then prove A=45°.
Lyrx [107]

Answer:

1/2 now substitute 45 degrees

Step-by-step explanation:

6 0
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