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Elis [28]
2 years ago
8

Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.​

Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

Answer:

⇒  Draw a line segment AB=5.5cm

⇒  Take A as a center and draw an angle of 45

o

.

⇒  Cut off AD=5cm

⇒  Take D as a center with radius 4.5cm and draw an arc.

⇒  Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.

⇒  Join BC and CD.

∴  ABCD is a required quadrilateral.

Step-by-step explanation:

hope this helps!

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
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1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

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dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

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36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

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Which face has an area of 28 cm
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Step-by-step explanation:

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction
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Answer:

y=\frac{11}{20}x+6

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

(x_{1},y_{1} ) ⇒ (0, 6)

(x_{2},y_{2} ) ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute (x_{1},y_{1} ) = (0, 6) and (x_{2},y_{2} ) = (20, 17) in above equation.

m=\frac{17-6}{20-0}\\m=\frac{11}{20}

So, slope of the line m = \frac{11}{20}

Using point slope formula.

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(y-6)=\frac{11}{20} (x-0)

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Add 6 both side of the equation.

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y=\frac{11}{20}x+6

Therefore, the equation that represents the relationship between x and y is written as:

y=\frac{11}{20}x+6

6 0
3 years ago
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