Triangle ABC is defined by the points A (3, 2),
B (3, 4), and C (6, 3). Find the perimeter of the
triangle. Round to two decimal places.

The new coordinates of the image of the shape are

The picture of the graph showing the image is attached

The rule for 90 degrees clockwise rotation is

(x, y) becomes (y, -x)

The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign

performing the rotation we have the new coordinates as below

(2, 3) becomes (3, -2)

(2, 2) becomes (2, -2)

(4, 2) becomes (2, -4)

Learn more about rotation at

https://brainly.com/question/26249005

#SPJ1

we have the following:

slope intercept form is:

therefore,

slope (m)= -3

y-intercept (b) = 4

Answer:

Option B, 105 would be correct

Step-by-step explanation:

The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°

Hope this helps!

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

\(\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month\)

\(\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}\)

\(\\ \qquad\quad\sf\longmapsto 1.025\℅\)

The arc cossecant of the given value is of 30º.

The cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:

cos(x) = 1/sin(x)

The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.

In this problem, the arc cossecant that is asked is:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)

Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.

Hence the numeric value of the expression is presented as follows:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)

More can be learned about cossecant and arc cossecant at https://brainly.com/question/13276558

#SPJ1

Answer:

Step-by-step explanation:

15(1/3) + 19

5 + 19 = 24

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

Answer:

23.75

Step-by-step explanation:

95/4

23.75

Answer:

A≈9.75

Step-by-step explanation:

The side length can be found by getting the square root of 95.

Since all sides are the same on a square, this means that 9.75² gives us 95, which it does.

Hope this helps!

-MoCKEry

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

74.843 kilograms....

Answer:

HAHAHAHH

Step-by-step explanation:

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer: 11.99 x b = 11.99b

               3.79 x m = 3.79m

               11.99b + 3.79m = y

Step-by-step explanation:

               11.99 x b = 11.99b

               3.79 x m = 3.79m

               11.99b + 3.79m = y

Answer:

100

Step-by-step explanation:

let the unknown number be y

y= 8850/88.5

y=100

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

Learn more about Curved Surface Area here:

https://brainly.com/question/30816589

#SPJ1

Answer:

83.00 inches

Step-by-step explanation:

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

For more such questions on central angle, click on:

https://brainly.com/question/10945528

#SPJ8

Answer:

25%

Step-by-step explanation:

The fraction of coins which are pennies

= 9/36

= 1/4.

As a percent this is 1/4 * 100

= 25%.

Answer:

x^2-x-3

Step-by-step explanation:

x^2-2-x-1

x^2-x-3

Answer:

\(b)\ 6\frac{1}{4}\)

Step-by-step explanation:

Which is the product of 15 and 5/12

\(15*\frac{5}{12} \\\\\frac{15}{1} *\frac{5}{12}\\\\\frac{5}{1}*\frac{5}{4}\\\\ \frac{25}{4} \\\\6\frac{1}{4}\)

Hope this helps!

Hi!

Your answer is B.

Given:

\(15*\dfrac{5}{12}\)

Change \(15\) into a fraction by putting it over \(1\)

\(\dfrac{15}{1} * \dfrac{5}{12}\)

Multiply the numerators and the denominators by each other:

\(\dfrac{15*5}{12*1} =\dfrac{75}{12}\)

Simplify:

\(\dfrac{75/3}{12/3} = \dfrac{25}{4}\)

Mixed number form = \(6\dfrac{1}{4}\)

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)

Solution

For this case we can do this:

5/7 km

The reason is because we just need to divide the total distance (5km) by the 7 friends

Answer:

P ( snowboard I ski)​ = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that \(P(A) = \frac{28}{120} = 0.2333\)

16 out of 120 do both:

This means that \(P(A \cap B) = \frac{16}{120} = 0.1333\)

P ( snowboard I ski)​

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714\)

So

P ( snowboard I ski)​ = 0.5714

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4