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3 years ago

What happens to the circumference of a circle when the radius is quadrupled?

2 answers:

6 0

He circumference of a circle is equal to the diameter times pi. So, let's look at what happens if you double the radius of a circle -- say from 2 to 4. The area will go from 12.56 to 50.24. This means that it has quadrupled.

Zolol [24]3 years ago

5 0

Circumference = 2 * PI * radius
The circumference would also be quadrupled.
There is a direct relationship between circumference and radius.

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Nathan has a collection of 220 baseball cards. He lets his brother 1/4 of his collection and sells 20% of his collection to the

tatyana61 [14]

Answer:

The baseball cards remain in Nathan’s collection is 106 cards

Explanation:

Total number of cards Nathan has= 220

Number of cards he let his brother have = 1/4 of his collection

= $\frac{1}{4} \times 220$ = 55 cards

Number of cards he sells = 20% of his collection

= $\frac{20}{100} \times 220$

=44 cards

No of cards he gives to his friends=15 cards

Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)

= 220 – ( 55+44+15)

=220-114

=106 cards

baseball cards remain in Nathan’s collection is 106 cards

4 0

3 years ago

Find f( -7) if f(x) = 3 - 2x. Which relation describes a function?

Dahasolnce [82]

Answer:

The answer is 17

A function is a relation in which each possible input value leads to exactly one output value. For example, we say “the output is a function of the input.”

Step-by-step explanation:

f(-7)=3-2x

3-2(-7)

3 - -14= 17

4 0

3 years ago

Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 3.0 km/h due east. Runner B is initia

ArbitrLikvidat [17]

Answer:

The distance of the two runners from the flagpole is 0.0882 km

Step-by-step explanation:

We are going to use the minus sign when the runner is on the west and the plus sign when the runner is on the east.

Then, Taking into account the runner A is 6 km west and is running with a constant velocity of 3 Km/h east, the distance of the runner A from the flagpole is given by the following equation:

Xa = -6 Km + (3 Km/h)* t

Where Xa is the position of the runner A from the flagpole and t is the time in hours.

At the same way the distance of the runner B, Xb, from the flagpole is given by the following equation:

Xb = 7.4 Km - (3.8 Km/h)*t

Then, the two runners cross their path when Xa is equal to Xb, so if we solve this equation for t, we get:

Xa = Xb

-6 + (3*t) = 7.4 - (3.8*t)

(3.8*t) + (3*t) = 7.4 + 6

(6.8*t) = 13.4

t = 13.4/6.8

t = 1.9706

Therefore, at time t equal to 1.9706 hours, both runners cross their path. The distance of the two runners from the flagpole can be calculated replacing the value of t in equation for Xa or in equation for Xb as:

Xa = -6 Km + (3 Km/h)* t

Xa = -6 Km + (3 Km/h)*(1.9706 h)

Xa = -0.0882 Km

That means that both runners are 0.0882 Km west of a flagpole.

4 0

3 years ago

(05.05)Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon.

ella [17]

The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2

5 0

3 years ago

Which number is the smallest? A) 1.28 x 10-4 Eliminate B) 2.85 x 10-6 C) 3.24 x 10-5 D) 5.48 x 10-8

vfiekz [6]

The answer is D 5.48*10-8

hope this helps

6 0

3 years ago

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