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san4es73 [151]
3 years ago
7

PLEASE HELP REALLY URGENT!!

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Part A

F = 50 N is the force applied along the purple vector

r = 1.5 is the radius (half the diameter 3)

theta = 110 is the angle in which the force vector is applied

Use this formula to plug in the values to find the torque T

T = F*r*sin(theta)

T = 50*1.5*sin(110)

T = 70.4769

<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>

=========================================

Part B

Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.

<h3>Answer: 90 degrees</h3>

=========================================

Part C

Use the values from part A, but make theta = 90 so that the torque T is maxed out. So we would get the following

T = F*r*sin(theta)

T = 50*1.5*sin(90)

T = 50*1.5*1

T = 75

<h3>Answer: The max torque possible is 75 Newton-meters</h3>
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What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


5a(a+3)+1(a+3)=0


We factor further to get,


(a+3)(5a+1)=0



This implies that,


(a+3)=0,(5a+1)=0


This gives


a=-3,a=-\frac{1}{5}


These are the restrictions.





8 0
3 years ago
Kenneth Drew a scale drawing of an apartment the scale of the drawing was 2 meters:1 meter the living room is 6 m long in real l
atroni [7]

Answer:

3 meters

Step-by-step explanation:

Given the scale drawing :

2m : 1m

Length of living room in real life = 6 m long

2 meter = 1 meter

Real life = scale drawing

If length = 6 meter long ;

using cross multiplication :

2 meter = 1 meter

6 meter = x

2x = 6

x = 6/2

x = 3 meter

Length of living room in drawing = 3 meters

3 0
3 years ago
5000-5000×0+500+600-1100+10+10-20=
djverab [1.8K]

Answer:

5000-5000×0+500+600-1100+10+10-20=5000

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2 years ago
Martha has widow's peak and attached earlobes. Martha's dad had a straight hairline and unattached earlobes. If Martha marries a
krok68 [10]

Answer:

the probability of having a widow peak and attached earlobe = 0.6667*0.66667 = 0.4445 = 44.5%

Step-by-step explanation:

Martha = widow's peak + attached earlobes.

Martha's dad = straight hairline + unattached earlobes.

Martha husband =straight hairline+ widow's peak + attached earlobes

what is the probability that Martha child will have a widow's peak + attached earlobes?

since,

Martha + Martha husband =straight hairline+ widow's peak + attached earlobes

the probability of the child having widow peak is 2/3 = 0.6667

the probability of the child having attached earlobes is 2/3 = 0.66667

the probability of having both = 0.6667*0.66667 = 0.4445

6 0
3 years ago
I multiply a number by four and then I add one the answer is 33. what number did I start with
Digiron [165]
Let that number be x.
"I multiply a number by four" Can be represented by 4x.
"Then I add one" means that to 4x, you added 1. So it's 4x + 1
"The answer is 33" So 4x + 1 = 33.
We need to solve for x.
4x + 1 = 33
First, subtract 1 from each side to have the variable on a side and the number on the other:
4x + 1 - 1 = 33 - 2
4x = 32
Divide both sides by 4 to get the variable x alone on a side and its value on the other side:
(4x)/4 = 32/4
x = 8

You can recheck your answer (very important):
4x = 8*4 = 32
4x + 1 = 32 + 1 = 33
The answer has been approved.

Hope this Helps! :)
3 0
3 years ago
Read 2 more answers
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