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puteri [66]
3 years ago
11

consider the figure shown assuming the green and red blocks have the same weight where should a single Green Block be placed to

make the scale balance

Mathematics
1 answer:
prisoha [69]3 years ago
5 0
The amount of torque that a mass is based the distance from the fulcrum. The red blocks will create counter-clockwise motion, and the green will create clockwise motion. We need the red and green to be equal.

6 + 4 + 2(2) = 2(3) + 5 + x

14 = 11 + x

x = 3

So the green block should be placed at 3 on top the other two blocks.






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The rate of discount, R, can be determined using the formula, where P is the regular price of an item and D is the discount or a
astraxan [27]

Answer:

B.0.31

Step-by-step explanation:

% of change = amount of change/original price

R=(P-D)÷P

39-27=12

12÷39=.307

≈.31

8 0
3 years ago
Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
*EASY 7TH GRADE MATH PICTURE INCLUDED*
Strike441 [17]

Answer:

Just switch out the 6 and 4 flip them out I guess

Step-by-step explanation:

4 0
3 years ago
Which expression means three minus the product of two times a and five?​
zloy xaker [14]

Answer:

3-(2a)(5)

Step-by-step explanation:

we know that

The algebraic expression of the phrase "three minus the product of two times a and five" is equal to

3-(2a)(5)

3-10a

4 0
3 years ago
5-year Treasury bonds yield 5%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year bonds is 0.4%.
Eddi Din [679]

Answer:

real risk-free rate = 2.7 %

Step-by-step explanation:

Given data

Treasury bonds yield r  = 5%

time = 5 year

(IP) = 1.9%

MRP = 0.4%

to find out

real risk-free rate r*

solution

we will find real risk-free rate r* by the given formula that is

Treasury bonds yield = real risk-free rate + IP + MRP + default risk premium + liquidity premium

so here default risk premium and liquidity premium both are zero

put all the other value we get real risk-free rate

real risk-free rate = 5% - 1.9 % - 0.4%

real risk-free rate = 2.7 %

3 0
4 years ago
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