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lianna [129]
3 years ago
11

Mason made 19 more shots during

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

52

Step-by-step explanation:

Let the number of shots Mason made be x.

No. of shots (Mason) = x

No. of shots (Noah) = x-19

No. of shots (Peter) = x-19-10

                                = x-29

x-29 = 23

x = 23 + 29

x = 52

Thus, Mason made 52 shots.

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Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta
frutty [35]

Answer:

x^2+(y-1)^2=1

Step-by-step explanation:

The given cylindrical equation is

r=2\sin \theta

Multiply both sides by r.

r^2=2r\sin \theta           .... (1)

The required formulas are

x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2

Substitute r\sin \theta =y,r^2=x^2+y^2 in equation (1).

x^2+y^2=2y

x^2+y^2-2y=0

Add 1 on both sides.

x^2+(y^2-2y+1)=1

(x-0)^2+(y-1)^2=1^2                    [\because (a-b)^2=a^2-2ab+b^2]

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is x^2+(y-1)^2=1.

3 0
4 years ago
Can a triangle be formed with the sides lengths of 7 cm, 5 cm and 12 cm?
laiz [17]

Answer:

NO because 7+5=12

The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.

5 0
3 years ago
Please Answer.
Andrews [41]

Answer:72.6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
60% of what number is equal to 30?<br> A) 0.5 B) 2 C) 18 D) 50
Arada [10]

Answer:

D. 50

Step-by-step explanation:

50/1 (60/100) =

3000/100 =

30/1 =

30

7 0
3 years ago
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The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
3 years ago
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