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3 years ago

The area of a triangle is equal to half of its base times it's height . write an equation

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer:

$A=\displaystyle\frac{1}{2} bh$

Step-by-step explanation:

Hi there!

Let A be equal to the area of a triangle.

Let b be equal to its base.

Let h be equal to its height.

We're given that the area (A) is equal to 1/2 of its base (b) times its height (h):

$A=\displaystyle\frac{1}{2} bh$

I hope this helps!

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Find the measure of Arc MP

mario62 [17]

Answer:

Arc MP = 118 degrees

Step-by-step explanation:

From what we have;

Arc MP = PN - MN

for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees

So PN is 180

Now, for MN, we are going to use angle-arc relationship

From what we have;

MN = 2 * 31 = 62 degrees

So we have the measure of MP as;

180 -62 = 118 degrees

7 0

3 years ago

Running at the same constant rate, 5 identical machines can produce one lot containing a certain number of toys per hour. At thi

inessss [21]

Answer:

$1.6\cdot{x}$

Step-by-step explanation:

If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:

Here the machines are constant and the rate is x toys per hour:

If 5 machines make x per hour:

Rate is x/1 hour

The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:

Rate for 5 machines is x and for 8 machines is y:

$y=1.6\cdot{x}$

6 0

3 years ago

If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neith

sweet [91]

Answer:

If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue nor brown

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

How tall is the model? It's is #1.

Kazeer [188]

305.5 feet * .01 = 3.055 feet

4 0

3 years ago

Read 2 more answers

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