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3 years ago

A circle has a circumference of 50.2450.2450, point, 24 units. What is the radius of the circle?

Mathematics

1 answer:

beks73 [17]3 years ago

7 0

Answer:

r = 8 units

Step-by-step explanation:

The circumference is calculated using $C = 2\pi r$ . Substitute C = 50.24 units. Solve for the radius.

$C = 2 \pi r\\50.24 = 2 \pi r\\25.12 = \pi r\\8 = r$

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What is the standard form of function f?

Tomtit [17]

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

4x - y = -29

8 0

3 years ago

Which choice correctly shows rounding to the hundredths place?

Romashka-Z-Leto [24]

Choice A is false because they are rounding to the nearest tenth (one decimal place) and not nearest hundredth (two decimal places)

Choice B is false as well because 3.825 should round to 3.83. The 5 at the end tells you to round up.

Choice C is false too. The value 3.824 should round to 3.82. Not sure how they got 3.81, so it seems like a deliberate trick question or silly answer.

Choice D is true. The three decimal values are rounded properly to the correct number of decimal places.

Therefore choice D is the answer

4 0

3 years ago

Read 2 more answers

A coin is tossed and a single 6 sided number cube is rolled. Find the probability of landing on the heads side of the coin and r

Delicious77 [7]

Answer:

The probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.

Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.

So, probability of event 'H' is given as:

$P(H)=\dfrac{n(H)}{n(S)}\\\\P(H)=\frac{1}{2}=0.5$

Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, $n(S)=6$

Now, probability of rolling a 3 is given as:

$P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}$

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

$P(H\ and\ R3)=P(H)\times P(R3)\\\\P(H\ and\ R3)=\frac{1}{2}\times \frac{1}{6}\\\\P(H\ and\ R3)=\frac{1}{12}=0.083$

Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.

Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

4 0

3 years ago

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y

Crank

Answer:

The answer to your question is a = 16

Step-by-step explanation:

Polynomial

(y - 4) (y² + 4y + 16)

Process

1.- Multiply y by each term of the polynomial

y(y² + 4y + 16) = y³ + 4y² + 16y

2.- Multiply -4 by each term of the polynomial

-4(y² + 4y + 16) = -4y² - 16y - 64

3.- Write both results

y³ + 4y² + 16y - 4y² - 16y - 64

In bold we notice that a = 16

8 0

3 years ago

How to use the numbers 4, 7, 3, and 9 to get the number 25 only using the operations multiplication, division, and addition

bearhunter [10]

Answer:

(9 x 7)/3 + 4

Step-by-step explanation:

9 x 7 = 63

63 divided by 3 is 21.

21 + 4 = 25

5 0

3 years ago

Read 2 more answers