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lora16 [44]
3 years ago
6

Find the work W done by a force of 7pounds acting in the direction 30 degreesto the horizontal in moving an object 7feet from (0

comma 0 )to (7 comma 0 ).
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

<em>The work done by the force is 42.4 Joules</em>

Step-by-step explanation:

The force F = 7 pounds

angle to the horizontal that the force acts ∅ = 30°

The object is moved a distance d = 7 feet

The coordinate  (0 comma 0 )to (7 comma 0 ), indicates that the movement started from the origin, and is along the x-axis.

The work done by this force = F cos ∅ x d

==> 7 cos 30° x 7

==> 7 x 0.866 x 7 =<em> 42.4 Joules</em>

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On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
wariber [46]

Answer/Step-by-step explanation:

Each square would be about 0.78 by 0.78

7 0
3 years ago
Stock in Daenerys Industries has a beta of 1.2. The market risk premium is 5 percent, and T-bills are currently yielding 4.2 per
sasho [114]

Answer:

The best estimate of the company's cost of equity is 10.05%.

Step-by-step explanation:

Using growth rate model formula, the cost of equity can be calculated as follows:

Cost of equity as per growth rate model = (D1 / P) + g ................ (1)

D1 = Most recent dividend * (1 + g) = $1.40 * (1 + 0.05) = $1.47

P = Current price per share = $30

g = Growth rate of dividend = 5%, or 0.05

Substituting the values into equation (1), we have:

Cost of equity as per growth rate model = ($1.47 / $30 ) + 0.05

Cost of equity as per growth rate model = 0.099. or 9.90%

Using Capital Asset Pricing Model (CAPM) formula, the cost of equity can be calculated as follows:

Cost of equity as per CAPM = Risk free rate + (Beta * Market risk premium) = 4.2 + (1.2 * 5) = 10.20%

Therefore, we have:

Best estimate of Cost of equity = (Cost of equity as per growth rate model + Cost of equity as per CAPM) / 2 = (9.90% + 10.20%) / 2 = 10.05%

Therefore, the best estimate of the company's cost of equity is 10.05%.

6 0
3 years ago
Help me !!
weeeeeb [17]
Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees. 
Here's why.

α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180  Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90

Now all you have to do is put in the x values for alpha and beta and equate them to 90

5x/3 + 20 + 2x/3 + 14 = 90  Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
7x/3 + 34 = 90                     Subtract 24 from both sides.
7x/3 = 90 - 34                           
7x/3 = 56                             Multiply by sides by 3
7x = 3*56
7x = 168                              Divide by 7
x = 168/7
x = 24

That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
α = 60

Answer C <<<<<<



4 0
3 years ago
ZABD and ZDBC are supplementary angles.
podryga [215]

Answer:

The angle x is 32 degrees.

Step-by-step explanation:

As the angles make supplementary angle then

148+x=180

x=180-148

=32 degrees

Hence Prooved!

6 0
3 years ago
Read 2 more answers
Simplify.
erma4kov [3.2K]
(5b^2 - 3b + 2) + (2b - 4) 
Just expand out all the brackets
5b^2 - b - 2
7 0
3 years ago
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