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Greeley [361]
2 years ago
14

Jamal will slice a right circular cylinder into two congruent pieces. Which two dimensional plane sections could result from the

slice Jamal makes?
Mathematics
1 answer:
GarryVolchara [31]2 years ago
5 0

Answer:

An ellipse and a rectangle.

Step-by-step explanation:

If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.  

If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.

If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.

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A pet store contains 35 light green parakeets (14 females and 21 males) and 44 sky blue parakeets (28 females and 16 males). You
Mamont248 [21]
You can use this formula <span>P(AorB) = P(A) + P(B) - P(AandB) 

Given:
35 LG (14 F & 21 M)
44 SB (28 F & 16 M)

Req:
- the probability that it is a female (F) or a sky blue (SB)

Sol:
</span>P(F or SB) = P(F) + P(SB) - P(F and SB) 
                 = [(14 F + 28 F)/(35 + 44)] + [(44 SB)/(35 + 44)] - [(28 F)/(35 + 44)]
                 = 53.16 + 55.70 - 35.44
                 = 73.42%

You have to deduct 28 female parakeets from 44 sky blue parakeets because the 28 parakeets are already accounted for in the female parakeets. You can also think of how many ways you can choose a female parakeet and a sky blue parakeet. Add all female parakeets (14 + 28) = 42. Sky blue parakeet equaled to 44. Minus the 28 female parakeets included in the sky blue parakeet to avoid double counting. 42 + 44 - 28 = 58 divided by 79 (35 + 44) total parakeets = 73.42%


7 0
2 years ago
The equation r(t)= (2t)i + (2t-16t^2)j is the position of a particle in space at time t. Find the angle between the velocity and
ankoles [38]

Answer:

The answer is 135 degrees.

Step-by-step explanation:

As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.

r(t)=(2t)i+(2t-16t^{2})j

V(t)=2i+(2-32t)j

a(t)=-32j

At time t=0;

v(t)=2i+2j

a(t)=-32j

As i attach in the picture the angle between the velocity and acceleration vector is (45+90)=135 degrees

4 0
2 years ago
A girl had 20 coins in nickels and dimes whose sum was $1.40. She spent 65cents , using 8 coins. She now has ? nickels.
abruzzese [7]

Answer:

$0.75 nickels

Step-by-step explanation:

$1.40-$0.65=$0.75

$0.75 nickels

6 0
2 years ago
Read 2 more answers
After working satisfactorily for 6 months, Dave received a 7% raise. His original gross monthly salary was $1083.34. What is Dav
Dmitriy789 [7]

Answer:

Step-by-step explanation:

His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be

6 × 1083.34 = $6500.4

After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be

7/100 × 6500.4 = $455.00

His salary for the next 6 months would be

6500.4 + 455.00 = $6955.40

Dave's gross annual salary would be

6955.40 + 6500.4

= $13455.8

7 0
1 year ago
Read 2 more answers
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha
Anit [1.1K]

Standard deviations of the four activities of the critical path are 1,2,4,2.

Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path

Standard deviation of critical path =\sqrt{1^2+2^2+4^2+2^2}

=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

z=\frac{38-40}{5}= \frac{-2}{5}=-0.4

P(X

Probability =0.5-0.16=0.34

Thus the probability that the project will be completed in 38 weeks is 0.34.

8 0
2 years ago
Read 2 more answers
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