Which undefined term is needed to define an angle?Plane

Point

Ray

Line

Answers

Answer 1

Answer: The correct answer is point.

Explanation:
The definition of angle is "a figure formed by two rays that share a common endpoint." There are three "undefined terms" in geometry: point, line and plane. The only of these 3 needed for the definition of angle is point.

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Probability theory predicts that there is a 9% chance of a water polo team winning any particular match. If the water polo team playing two matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match?A. 8281
B. 1638
C. 81
D. 819

Answers

The result is B. 1638.

To calculate this, we will use both an addition and a multiplication rule. The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. The multiplication rule calculates the probability that both of two events will occur.
First, there are two possibilities for winning exactly one match:
1. To win the first match and lose the second one.
2. To lose the first match and win the second one.

9% = 0.09 is the probability of winning. The probability of losing is 1-0.09 = 0.91. To calculate the probability of winning the first match and losing the second one and vice versa, we will use the multiplication rule:
1. 0.09 × 0.91 = 0.0819
2. 0.91 × 0.09 = 0.0819

We want to either one of these events to happen, so using the addition rule, we have:
0.0819 + 0.0819 = 0.1638

In 10,000 matches:
0.1638 × 10,000 = 1,638

Part I: Triangle ABC is called a special right triangle. What kind of special right triangleis it (2 points)

Answers

Answer:

30-60-90 triangle

Angle BCD = 60

Hypotenuse is 2 times the length of short leg

The long leg is $√(3)$ times the short leg

BC = 20

Step-by-step explanation:

I think the explanations are in the questions.

You need to memorize the relationships

I need help. Please 30 points if you know no links, or I will report you.

Answers

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 yearsA. $40,000.00

B. $41,600.00

C. $2,924.65

D. $2,931.45

Answers

Answer:

The balance in the account is $2931.45 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Amount = P(1 +(r)/(4))^(4t)$

Where P is the principle , r s the rate of interest in the decimal form and t is the time in years .

As given

The account. $2,500 principal earning 4%, compounded quarterly, after 4 years.

P = $2500

4% is written in the decimal form

$= (4)/(100)$

= 0.04

r = 0.04

t = 4 yeas

Put all the values in the formula

$Amount = 2500(1 +(0.04)/(4))^(4* 4)$

$Amount = 2500(1 +(0.04)/(4))^(16)$

$Amount = 2500(1 +0.01)^(16)$

$Amount = 2500(1.01)^(16)$

$Amount = 2500* 1.17258$

Amount = $2931.45

Therefore the balance in the account is $2931.45 .

Option (D) is correct.

Hello there,

A(4) = 2500(1.01)^16
----
A(4) = 2500*1.1726
----
A(4) = $2931.45

Hope this helps!

each can of paint will cover 450 tiles. Augustin is painting 300 tiles in his bathroom, 675 in his kitchen, and 100 in his hallway. How many cans of paint does he need to buy?

Answers

Answer:

He will need to buy 3 cans.

Step-by-step explanation:

First we need to know how many tiles he will paint.

The total amount of tiles he will paint is 300 + 675 + 100 = 1075 tiles.

We know that a can of paint will cover 450 tiles, therefore, we need to divide the total amount of tiles between the number of tiles covered by can:

1075/450 = 2.38.

He will need 2.38 cans of paint. But he cannot buy this number of cans, therefore he will have to buy 3 cans and will have some paint left.

You have to add all of the tiles that he needs painting. 675+300+100=1075. Then to figure out how many paint cans you need, divide 1075 by 450. It equals 2.388... so, you need to round up or else you will be missing some tiles. The final answer is 3 paint cans. Hope this helps

Find the maximum value of x for which inequality 8.5x-24.7less than or equal to 3x+32.5 is true.