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Sever21 [200]
2 years ago
7

What is the area of a circle with a diameter of 8 centimeters? Use 3.14 for π.

Mathematics
1 answer:
Volgvan2 years ago
4 0

Answer:

50.24 cm^2

Step-by-step explanation:

The formula for the area of a circle is A = πr^2

The radius is half of the diameter so r = 4

So now you can solve:

A = 3.14(4)^2

= 50.24 cm^2

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Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4
attashe74 [19]
If it is, then f(4) would be equal 0.

f(4)=4^3+11\cdot4^2+24\cdot4-36\\&#10;f(4)=64+11\cdot16+96-36\\&#10;f(4)=124+176\\&#10;f(4)=300\not =0 \Rightarrow \text{ it isn't}
8 0
3 years ago
Joann has a jug containing 128 ounces of milk. She drinks 14 ounces of milk each day. Enter the function f(x) that represents th
Tatiana [17]

Answer:

f(x)=128-14x

Step-by-step explanation:

So, we started out with 128 ounces of milk.

Each day, Joann drinks 14 ounces of milk.

Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.

Therefore, our function is:

f(x)=128-14x

And we're done!

6 0
3 years ago
Eric was attempting to construct a perpendicular bisector to the segment AB with a
matrenka [14]

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

<h3>Steps in constructing a perpendicular bisector</h3>

The steps involved in constructing a perpendicular bisector are:

  • Draw a line segment XY of any appropriate length.
  • Take a compass, and with X as the center and with more than half of the line segment XY as width
  • Draw arcs above and below the line segment.
  • Repeat the same step with Y as the center.
  • Label the points of intersection as 'P' and 'Q'

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Learn more about perpendicular bisectors here:

brainly.com/question/11006922

#SPJ1

4 0
2 years ago
Mooooooooo 4/9-4/10 =
Anon25 [30]

Answer:

0.04444444444

Step-by-step explanation:

7 0
3 years ago
Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles
Elza [17]

Answer:

The speed of the current is 3 miles per hour

Step-by-step explanation:

The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r

Let x = speed in still water

Let c = speed of the current

The main difference with these problems is rate needs to be expressed using two variables  because moving upstream the current is against you and downstream it moves with you.

Distance Rate Time

Upstream x − c

Downstream x + c

The distance column with the numbers from the problem and the value for speed in  still water for x.

Distance Rate Time

Upstream 4 5 − c

Downstream 16 5 + c

The column for time using the other two columns knowing that  rate,  distance  ⇒ time =  Distance Rate Time

Upstream 4 5 − c

5 − c

4

Downstream 16 5 + c

5 + c

16

“It takes as long …” from the problem means that the two times are equal to each other.  So, the equation can be written as:

4/5− c = 16/5 + c  ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3

7 0
3 years ago
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