The area of the indoor sports exhibition is shown below. What is its perimeter? m What is its area? m2

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

4 0

Answer:

Area = 3097.96 $m^{2}$

Perimeter = 270.96m

Step-by-step explanation:

Step 1: State the shapes making up the indoor sports exhibiti $\pi$ on

2 rectangles

1 semi circle

Step 2: Find the area and perimeter of the shapes

ARectangle1 = lw = (10)(40) = 400m^2

PRectangel1 = 2l + w = 2(10) + 40 = 60m

ARectangle2 = lw = (33)(68) = 2244m^2

PRectangel2 = l + w = 33 + 68 = 101m

ASemiCicle = $\frac{\pi r^{2}}{2} =\frac{\pi 17^{2} }{2} =\frac{289\pi }{2}=144.5\pi=453.96m^{2}$

PSemiCircle = $2\pi r=2\pi(17)=35\pi =109.96m$

Step 3: Add up the areas and perimeters

Area = 400 + 2244 + 453.96

Area = 3097.96 $m^{2}$

Perimeter = 60 + 101 + 109.96

Perimeter = 270.96m

Therefore the area of the indoor sports exhibition is 3097.96 $m^{2}$ and the perimeter is 270.96 m

You might be interested in

LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def

Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

$f(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

$f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782$