All categories

4 years ago

5. For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.

Mathematics

1 answer:

kolbaska11 [484]4 years ago

8 0

Answer:

a. The distance around a circular track. CIRCUMFERENCE

b. The total number of equally-sized tiles on a circular floor. AREA

c. The amount of oil it takes to cover the bottom of a frying pan. AREA

d. The distance your car will go with one turn of the wheels. CIRCUMFERENCE

Step-by-step explanation:

CIRCUMFERENCE : The circumference of a circle is the total length of its boundary.

AREA : Area of a circle is the total region covered buy that circle.

a. The distance around a circular track.

Here, we are covering the distance ONLY around the track and NOT inside it,

Hence, The CIRCUMFERENCE is calculated.

b. The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, The AREA is calculated.

c. The amount of oil it takes to cover the bottom of a frying pan.

Here, we are covering the region or the total space occupied by all the oil on the bottom of the frying pan.

Hence, The AREA is calculated.

d. The distance your car will go with one turn of the wheels.

Here, the distance covered by wheel in 1 round

= Total length of the boundary of wheel

= The circumference of the wheel

Hence, The CIRCUMFERENCE is calculated.

You might be interested in

ASAP!! Please Help! Show Work!! Thx

zaharov [31]

Answer:

Step-by-step explanation:

To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.

Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.

35*35=1225.

12*12=144.

1225+144=1369

The root of 1369 is 37, so the value of x is 37.

7 0

3 years ago

Find the length of each side of the polygon for the given perimeter. p=54 mi

mote1985 [20]

This all depends upon the number of sides your polygon has. I am assuming it is regular and that all the sides have the same length. If this is true, then the polygon will only be able to have the number of sides that is a factor of 54. If this is a 27-gon, then each side will measure 2 mi; if this is an 18-gon, then each side will measure 3 mi; is this is a triangle, then each side will measure 18 mi; if this is a hexagon, then each side will measure 9 mi; if this is a 9-gon, then each side will measure 6 mi. It all depends upon the number of sides you have. Your answer will be found in the info above, again, assuming this is a regular polygon.

8 0

4 years ago

HELP!!!!!!!

lesantik [10]

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1: Convert g(x) to a function square

We currently have g(x) in this order: $ax^2 + bx + c$

However, we want g(x) to be in this order: $(ax + c)^{2}$

The first thing we have to do is to factor it out:

$g(x)=x^{2}+8x+16$

$g(x) = (x + 4)(x + 4)$

$g(x) = (x+4)^{2}$

Step 2: Now we can see which way we need to move it

The original form is: $f(x) = (ax - b)^{2}$

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.

Answer: Option A, Left by 4 units

Look at the graphs below to make sure:

7 0

3 years ago

Read 2 more answers

Calculate the perimeter of a square whose diagonal measures 29 dm.

mojhsa [17]

Answer:

$4\sqrt{420.5}$ dm

Step-by-step explanation:

A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.

We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)

So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.

$a^2 + a^2 = 29^2$

$2a^2 = 841$

$a^2 = 420.5\\$

$a = \sqrt{420.5}$

Now that we have a side length of $\sqrt{420.5}$ , we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

$4\sqrt{420.5}$

8 0

4 years ago

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

Likurg_2 [28]

It will be a kid getting hit in the leg by the kids in the lunch table so it will be 4

5 0

3 years ago