All categories

3 years ago

How do you solve for area and perimeter

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Find the measure of the third angle

Use your trig functions the get the sides

Then calculate area and perimeter

You might be interested in

If an event of probability p is observed repeatedly during independent repetitions, the ratio of the observed frequency of that

Arlecino [84]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

Jill has a 25% off coupon for some computer software. If the coupon saved her $35, how much would the software cost without the

zysi [14]

Answer:

$140

Step-by-step explanation:

35 times 4

6 0

3 years ago

The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr

kumpel [21]

Answer:

The answer is " $\bold{- \frac{19}{13} \ / hour}$ "

Step-by-step explanation:

Please find the complete question in the attached file.

Calculating the difference of $9 \frac{1}{4}\ and \ 4 \frac{1}{2}$ dividing the value by $3 \frac{1}{4}$

$\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\$

3 0

3 years ago

Please answer right away

fenix001 [56]

The coefficient of determination is the first one. I'm pretty sure.

6 0

3 years ago