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2 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

2 answers:

Andrej [43]2 years ago

5 0

Answer:

13.7 ft^2

Step-by-step explanation:

1. Find the radius of the semicircle by dividing the diameter by 2 to get 1.8

2. Find the area of the semicircle. Do this by substituting the equation to find the area of a semicircle with the numbers given and solving. 3.14(1.8^2)/2 = 5.0868

3. Find the area of the triangle. Do this by substituting the equation to find the area of a semicircle with the numbers given and solving. 1/2(3.6*4.8) = 8.64

4. Add both your numbers together to get 13.7268

5. Round to the nearest 10th to get 13.7 ft^2

Tju [1.3M]2 years ago

3 0

Answer:

13 feet squared

Step-by-step explanation:

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Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)

lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

$(y-k)=a(x-h)^{2}$

we have

the vertex is the point (5,-4)

substitute

$(y+4)=a(x-5)^{2}$

The y-intercept is the point (0,96)

substitute and solve for a

$(96+4)=a(0-5)^{2}$

$100=a(25)$

$a=100/25=4$

The equation of the vertical parabola is equal to

$(y+4)=4(x-5)^{2}$

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$4=4(x-5)^{2}$

Simplify

$1=(x-5)^{2}$

Rewrite

$(x-5)^{2}=1$

square root both sides

$(x-5)=(+/-)1$

$x=(+/-)1+5$

$x=(+)1+5=6$

$x=(-)1+5=4$

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

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3 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

svetoff [14.1K]

Answer:

if angles shown are right angle then from corner to midpoint line if this is symettrical angles are 45 and 45. if area is asked of you need to

Step-by-step explanation:

To find the area of any right triangle, you simply multiply the lengths of the two sides that are perpendicular to each other, and then take half of that. if you could flip one of them and move it on top of the other, they would match exactly. The rectangle has an area of 2 × 4 = 8 square units.

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2 years ago

30 POINTS URGENT! When solving the following system of equations, which variable would be the easiest to solve for?

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Answer:

Step-by-step explanation:

8 0

2 years ago

I need the answer for number 6 please:)

Goshia [24]

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

5 0

3 years ago

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

Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

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2 years ago