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Temka [501]
3 years ago
8

Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder

Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

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Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?
kykrilka [37]

Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

7 0
3 years ago
The four swimmers listed in the table are trying out for the swim team. Two will make the team. How many different combinations
ratelena [41]
Number of possible combinations = (4x3) ÷ 2 = 6

Answer: There are 6 possible combinations.
8 0
3 years ago
Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
bagirrra123 [75]

Answer:

1.25.

Step-by-step explanation:

The common ratio r  is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity =  a1 / (1 - r)

=  1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

8 0
3 years ago
Read 2 more answers
. Micro Office Products has issued 5,000 shares of cumulative preferred stock that will earn dividends at $2.38 per share; it ha
quester [9]
110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock

First find the total dividends of preferred stock
5,000×2.38=11,900


Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100

Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer

Hope it helps!
5 0
3 years ago
Solve for x.
denis-greek [22]

Answer:

\frac{3\±\sqrt{3}}{3}

Step-by-step explanation:

Whe have the function 3x^2-6x+2=0

To solve this equation we must factor.

To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

\frac{-b\±\sqrt{b^2-4ac}}{2a}

Where:

a = 3

b = -6

c = 2

Then

\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}

finally the correct answer is  \frac{3\±\sqrt{3}}{3}

5 0
2 years ago
Read 2 more answers
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