All categories

2 years ago

Im not so good at math ;-;

Mathematics

2 answers:

Harrizon [31]2 years ago

7 0

Answer:

1. A = 660.52 square units. C = 91.11 units.

2. A = 572.56 square units. C = 84.82 units.

3. A = 283.53 square units. C = 59.69 units.

4. A = 254.47 square units. C = 56.55 units.

5. A = 63.62 square units. C = 28.27 units.

6. A = 380.13 square units. C = 69.12 units.

Step-by-step explanation:

The equations for Area and Circumference of a circle are as follows:

A = πr², where r is the radius.
C = 2πr, where r is the radius.

You are given the radius (or diameter) of each circle which can be substituted into the above equations for r. Diameter is the entire length across the circle through the center, which is equal to 2(r).

1. A = π(14.5)² = 660.5198. The area is approx. 660.52 square units.

C = 2π(14.5) = 91.106. The circumference is approx. 91.11 units.

2. A = π(13.5)² = 572.555. The area is approx. 572.56 square units.

C = 2π(13.5) = 84.823. The circumference is approx. 84.82 units.

3. A = π(9.5)² = 283.528. The area is approx. 283.53 square units.

C = 2π(9.5) = 59.690. The circumference is approx. 59.69 units.

4. Diameter = 18; 18/2 = 9 = r. So, A = π(9)² = 254.469. The area is approx. 254.47 square units.

C = 2π(9) = 56.548. The circumference is approx. 56.55 units.

5. r = 9/2 = 4.5. So, A = π(4.5)² = 63.617. The area is approx. 63.62 square units.

C = 2π(4.5) = 28.274. The circumference is approx. 28.27 units.

6. A = π(11)² = 380.132. The area is approx. 380.13 square units.

C = 2π(11) = 69.115. The circumference is approx. 69.12 units.

Pie2 years ago

3 0

Answer:

1. 660.52

2. 572.56

3. 283.53

4.254.47

5. 63.62

6. 380.13

Step-by-step explanation:

do πr²

r = radius

if you have a diameter like question 4 divide by 2 and you get radius

You might be interested in

What property says that -12+12+0

natali 33 [55]

Answer:

Looks like inverse property of addition to me

4 0

3 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$

The first value ( $w=0$ ) will leave us with a 'height-only box', so the answer must be $w=58 in$

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = $195112 in^{2}$

8 0

3 years ago

Which ordered pair is a solution to the equation?

Mama L [17]

Answer:

y=4/5x-3 - (-5, -7)

Step-by-step explanation:

So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.

So we have (-10, 5)

Well plug in -10 for 4/5x we get:

-40/5=-8

Next we take that value and solve:

y=-8-3

y=-11

The answer for this was 5, not -11.

Ill skip a few steps:

(10, -11):

Plug in 10 we get:

y=8-3 which is y=5. This is not right, for it needed to be -11.

Next we have (5, -1)

This gets us y=4-3 this is y=1 which is not -1. So thats not right.

Finally we have (-5, -7):

This gets us y=-4-3 this is y=-7. What was our y value? -7!

So the answer is (-5, -7)

I hope this helps! :)

6 0

3 years ago

How can you compare -1 and 0?

Solnce55 [7]

Answer:

-1 < 0

Step-by-step explanation:

0 is nothing and -1 is less than nothing

5 0

3 years ago

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places

cricket20 [7]

Answer:

The probability is 0.1944

Step-by-step explanation:

Since we are rolling two dice, the number of possible results is 36

for us to get a sum of seven, these are the possible results;

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

The probability of rolling a sum of 7 is 6/36

For a sum of 12, we only have one possible result and that is 6,6

So the probability here is 1/36

If we have or in probability, we add up the individual probabilities

So, our probability here will be;

1/36 + 6/36

= 7/36 = 0.1944

3 0

3 years ago