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2 years ago

What is the total surface area of the following cylinder?

Mathematics

1 answer:

lilavasa [31]2 years ago

6 0

Answer: $791.28cm^2$

Step-by-step explanation:

$A=2\pi rh+2\pi r^2$

We have the diameter, to calculate the radius, divide by 2.

12/2=6cm

height: 15cm

Plug in the formula.

$A=2(3.14)(6cm)(15cm)+2(3.14)(6cm)^2\\A=565.20cm^2+226.08cm^2\\A=791.28cm^2$

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Distributive property of 1/2(8x+2)

sdas [7]

Answer:

4x+1

Step-by-step explanation:

1/2 *(8x+2)=1/2*8x+1/2*2=4x+1

5 0

2 years ago

Ten times the sum of negative four and a number. Write as an Algebraic expression then simplify

Tju [1.3M]

Answer:

10x(-4+a)

explanation

4 0

2 years ago

The student council is selling cupcakes at the school play. The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcak

dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

2x - (75 + 0.17x) > 0

x ≥ 41

Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is

R - C > 0

2x - (75 + 0.17x) > 0 ......... (3)

Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

⇒ x ≥ 41 {Since, x can not be a fraction}

(Answer)

3 0

3 years ago

1. Use the graph of the rational function

Mrrafil [7]

Answer:

As $x \to -3^{+}, f(x) \to -\infty$

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at $x=-3\ and\ x=2$

The function has horizontal asymptote at $f(x)=0$

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as $x \to -3^{+}$ means the right hand limit of the function at $x=-3$

From the graph, the right hand limit is the right side of the asymptote of the function at $x = -3$ . The right side shows that the function is tending towards negative infinity.

Therefore, As $x \to -3^{+}, f(x) \to -\infty$

4 0

3 years ago

Solve for x 49 = 2592/x

adoni [48]

ok so basically x=1/2 which is the exact form. and the decimal form is x=0.5 Step-by-step explanation:

6 0

2 years ago