3 years ago

Find the area of each polygon. 4 ft 14 ft 10ft 18ft

Mathematics

1 answer:

Anna [14]3 years ago

5 0

Answer: 112 square feet

Step-by-step explanation:

(4*10)+(18*4)= 40+72=112

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Linda is planning to build a rectangular deck that is 12 feet longer than it is wide. Find its width if its area is 589 square f

BaLLatris [955]

Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
$x^{2} +12x = 589$
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.

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3 years ago

Which function is represented by the graph?

Virty [35]

The correct answer is C.

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3 years ago

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40

SpyIntel [72]

The mean of the probability distribution is given by the expected value given by

$E(x)=\sum xp(x) \\ \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\ \\ =0.40+0.10+0.06=0.56$

The variance of the probability distribution is given by

$Var(x)=(x-\bar{x})^2p(x) \\ \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\ \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\ \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\ \\ =0.166208+0.07744+0.10368+0.119072=0.4664$

The standard deviation is given by

$\sigma(x)=\sqrt{Var(x)} \\ \\ =\sqrt{0.4664}=0.683$

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3 years ago

The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor?

Ivahew [28]

I hope this helps you...

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3 years ago

Equivalent fractions shaded area

spayn [35]

The hexagon's equivalent fractions are 2/6 = 1/3 = 4/12
The dots equivalent fractions are 8/12 = 4/6 = 2/3
The triangles equivalent fractions are 1/2 = 2/4 = 3/6

Hope this helps :)

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3 years ago