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Ede4ka [16]
3 years ago
13

Find area of the shaded region.

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer:

area of shaded portion = 226.09 m²

Step-by-step explanation:

area of circle = πr² = (3.14)(18.6²) = 1086.314 m²

area of 123° segment = (123/360)(1086.314) = 371.157 m²

cos 61.5° = height/18.6 = 8.875

height of triangle = 8.875 m

sin 61.5° = 1/2base/18.6 = 16.346,   base = 32.692 m

base of triangle = 32.692 m

area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²

area of shaded portion = 371.157 - 145.071 = 226.09 m²

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A student raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round you
Leona [35]
Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
                           =   15/70   * 100
                           = 0.2142 * 100
                           = 21.42 rounds to 21.4%  increase
-------------------------
36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
                             = (36.50 - 32.12) / 32.12...* 100
                             = 4.38 / 32.12...* 100
                             = 0.1363...* 100
                             = 13.63 rounds to 13.6% decrease
------------------------------
23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
                            = (23.5 - 21.2) / 23.5....* 100
                            = 2.3 / 23.5....* 100
                            = 0.0979 * 100
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3 0
3 years ago
Read 2 more answers
Find the circumstances of the circle
Mkey [24]
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.

On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.

C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters

The circumference of the given circle is 18.84 meters.</span>
8 0
3 years ago
Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec
slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

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a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The  standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0
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What number is 7 units to the left of -1?
g100num [7]

Answer:

the answer to your question is -8

8 0
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lions [1.4K]

Answer:

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Step-by-step explanation:

P. 366

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-1 -3 -1

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