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3 years ago

11

A ___________ is a line segment that has end points on a circle and passes through the center of the circle. radius regular poly

gon obtuse angle diameter

1 answer:

Kobotan [32]3 years ago

7 0

A diameter is a line segment that has end points on a circle and passes through the centre of the circle.

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Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

3 shirts from a set of 17.

Then, 3 shirts from a set of 20.

They are independent, hence, to find the total, we multiply both combinations.

$T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200$

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0

2 years ago

How many Senators are there in the Florida Senate?

alisha [4.7K]

Answer:

2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source

Bezzdna [24]

Answer:

<em>The voltage at the middle source is</em> $(2-4\mathbf{i})\ V$

Step-by-step explanation:

<u>Voltage Sources in Series</u>

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

$2 + 6\mathbf{i}$

$a + b\mathbf{i}$

$2 - 5\mathbf{i}$

The sum of these voltages is:

$V_t=4+a+(6+b-5)\mathbf{i}$

Operating:

$V_t=4+a+(1+b)\mathbf{i}$

We know the total voltage is $6-3\mathbf{i}$ , thus:

$4+a+(1+b)\mathbf{i}=6-3\mathbf{i}$

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is $(2-4\mathbf{i})\ V$

5 0

2 years ago

The following quadrilateral is a parallelogram.

Natali5045456 [20]

Answer:

70

Step-by-step explanation:

Angle Q and angle P are supplementary angles, so they add up to 180 degrees.

6x + 4 + 10x = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

Put x in angle Q as 11 and solve.

6(11) + 4

66 + 4

= 70

Angle Q measures 70 degrees.

7 0

3 years ago

According to a survey of college students, the use of social media varies widely according to age. Based on the survey, what is

Yanka [14]

Answer:

C. 65

Step-by-step explanation:

The table which shows the results of the survey are attached below.

From the table:

Total Number of non-social media users = 71
Number of non-social media user aged 28 and up = 46

Therefore, the probability that a non-social media user is an older student aged 28 and up

$=\dfrac{\text{ Number of non-social media user aged 28 and up}}{\text{ Total Number of non-social media users}}\\\\=\dfrac{46}{71} \times 100\\\\=64.7\\\\\approx 65\%$

The probability that a non-social media user is an older student aged 28 and up is 65%.

<u>The correct option is C. </u>

4 0

3 years ago