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finlep [7]
3 years ago
5

Please someone help meeeee

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
<MSR = 180-136 (virtue of complementary angles) = 44°
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Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0
3 years ago
The original price of a shirt was $20. It was decreased to $15. What is the percent decrease of the price of this shirt?
KIM [24]

Answer:

25%

Step-by-step explanation:

Price reduction = 20 - 15 = $ 5

Percent decrease of price = (5/20)*100 = 5*5 = 25%

6 0
3 years ago
Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati
Assoli18 [71]

Answer:

\vec l = (-4, 11) + t\cdot (-3,8), x = -4 - 3\cdot t and y = 11 + 8\cdot t

Step-by-step explanation:

The vector equation of the line is:

\vec l = \vec P + t \cdot \vec A

\vec l = (-4, 11) + t\cdot (-3,8)

The parametric equations of the line are:

x = -4 - 3\cdot t and y = 11 + 8\cdot t

4 0
3 years ago
Floor tile costs $11 $11 per square yard. How much will it cost to tile a bathroom that is 90 90 square feet?
ira [324]

Answer: $1980

Step-by-step explanation:

Well, based off of the question being asked, I assume that you will need to pay $11 for 90 square footage of tiling, and then the same for the other square footage of tiling. Therefore your answer will be $1980. If you are looking for the equation, it is (<em>11x90)=990   (990)2 = 1980</em>

you do not need to multiply 11 by 90 again because you already know the answer.

7 0
3 years ago
Read 2 more answers
Suppose a class of 50 students has 20 males and 30 females. The insturctor will pick 1 (different) student to compete in 3 diffe
Pie

Answer:

Step-by-step explanation:

Total = 50

Males = 20

Females = 30

a) P(exactly 1 female) = P(1 female , 2 male)

(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908

b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))

= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3

= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489

4 0
3 years ago
Read 2 more answers
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