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Murljashka [212]
3 years ago
12

A dart hits the board. What is the probability

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer: The probability is 0.5

Step-by-step explanation:

The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)

The total area of the figure is equal to

Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2

Now, the area of region II is:

Region II = 20'*35' = 700

Then the probability is:

P = 700/1400 = 1/2 = 0.5

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Round 15,677 30,944. 87,142. 62,763. to the nearest ten thousand
lisov135 [29]
16,000
31,000
87,000
63,000

if the next digit is 5 or greater round up: if 4 or less leave the same.
8 0
3 years ago
Don tracked the price of gas for several months. In January gas cost $2.65, in February the price had risen $0.56, in March decr
Elan Coil [88]
Starting price is 2.65, increased by .56

2.65+.56=3.21

Price is 3.21, decreased by .23

3.21-.23=2.98

Price is 2.98, increased by 1.02

2.98+1.02= 4

Price is 4, decreased by .48

4-.48=3.52

Now find the difference from the starting price (January) from the end price (May)

3.52-2.65=.87

<u>The difference from gas prices is $.87</u>
8 0
4 years ago
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b
erastova [34]
It representes the original cost
A=P(1+r)^t
P=present amount
t=time
r=rate
A=final amount

afer 5 years
t=5
A=799(1.03)^5
A=926.26 after 5 years



answer is last option:
<span>799 represents the total value of the painting; the painting will be worth $926 after 5 years

</span>
7 0
3 years ago
Read 2 more answers
Help!! <br><br> I think I got these wrong, so please help!! Thank you!
Andrew [12]

Answer:

(x+3)(x+4)(x-4)

x+2 and x-3 are not factors but x-4 is

Step-by-step explanation:

let's factor it :)

x^3 + 3x^2 - 16x -48

first we will factor this:

x^3 + 3x^2

x^2(x + 3)

then factor the second part :

- 16x - 48

-16(x + 3)

so now,

x^2(x + 3) - 16(x + 3)

factor out x+3

(x+3)(x^2 - 16)

factor x^2 - 16

(x+3)(x+4)(x-4)

8 0
3 years ago
What is the measure of minor arc BD?
Vaselesa [24]

Answer:

minor\ arc\ BD=100^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

m\angle BAC=m\angle DAC

Find the measure of angle BAC

In the right triangle ABC

m\angle BAC+m\angle BCA=90^o

substitute given value

m\angle BAC+40^o=90^o

m\angle BAC=90^o-40^o=50^o

Find the measure of angle BAD

m\angle BAD=2m\angle BAC

m\angle BAD=2(50^o)=100^o

Find the measure of minor arc BD

we know that

minor\ arc\ BD=m\angle BAD -----> by central angle

therefore

minor\ arc\ BD=100^o

8 0
3 years ago
Read 2 more answers
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