△ABC is inscribed in a circle. Find the angle between the tangents to the circle at points B and C, if m∠CAB=50°.

Answers

Answer 1

Answer:

80°

Step-by-step explanation:

We know the measure of ∠CAB.  This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC.  This means the measure of BC is 100°.

This makes the measure of arc BAC is 360-100 = 260°.

The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs.  This means the measure of this angle will be

1/2(260-100) = 1/2(160) = 80°

Answer 2

Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.

From the given information, we've been given the measure of ∠CAB which is 50°.

Since this is an inscribed angle, it implies that the measure is 1/2 that of the intercepted arc, BC. Therefore, the measure of BC will be: = 50/0.5 = 100°.

Therefore, the measure of arc BAC will be: = 360° - 100° = 260°.

It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:

= 1/2(260-100)

= 1/2(160)

= 80°

In conclusion, the correct option is 80°.

Learn more about circles on:

https://brainly.com/question/26168678


Related Questions

Is it independent or dependent?

Answers

Answer: I would say Independent

Step-by-step explanation:

Independent because picking a blue marble and then putting it back doea not change the outcome of picking another marble. If it had have said "Event A:Picking a blue marble, without replacement. "Event B: Picking a red marble, then it would be Dependent because since the first marble was not replaced the denominator(total amount of marbles) would drop and cause the outcome to change.

using the area model 8,708÷28​

Answers

Answer:

311

Step-by-step explanation:

Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.255

Answers

ANSWER

[tex]0.255 = \frac{51}{200}[/tex]

EXPLANATION

The given decimal is 0.255

To change this fraction to its equivalent fraction form,we multiply by 1000 and divide by 1000.

This gives us,

[tex]0.255 = \frac{0.255 \times 1000}{1000} [/tex]

Multiply out the numerator to obtain;

[tex]0.255 = \frac{255}{1000} [/tex]

This simplifies to

[tex]0.255 = \frac{51}{200} [/tex]

solve y^2+7y+12=0 by completing the square.​

Answers

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x

Answers

Answer:

8 days

Step-by-step explanation:

question

how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day

1 st how long before all her apples Finnish

8 days how

count by twos until u reach 16

so x= 8

Final answer:

Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.

Explanation:

Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.

The function describing the remaining apples after x weeks can be constructed as follows:

Start with the total number of apples Abigail has, which is 16.

Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.

Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.

This equation represents the remaining apples as a function of the number of weeks.

Can somebody help me answer these plz?

Answers

Answer:

At = 27.225 ft2

Step-by-step explanation:

Hello

The triangle area is:

At = (b*h)/2

At = (9.9*5.5)/2

At = 27.225 ft2

Best regards

Help please! 8th grade math! ASAP

Answers

17. 1lb is the better deal

18. about $17

19. 1.5lbs I think

20. 7000lbs

8.....,,,,,,,,,,,,,,,,

Answers

Answer:

option (a)

(a³-b³)^1/4

Step-by-step explanation:

Given in the question an expression

4√a³-b³

To find,

this expression without radicals

There is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. a√x = (x)1/a

Example

√a = a^1/2

∛a = a^1/3

So, similarly the expression 4√a³-b³  =  (a³-b³)^1/4

Complete the equation 1 2/3mi = ? ft

A- 8,800
B- 9,600
C- 10,560
D- 13,200

Answers

Answer:

A. Hope this helps.

Explain the difference between multiplying by powers of 10 when the exponent is a positive number and when the exponent is a negative number

Answers

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Find the output, k, when the input, t, is -7

K = 10t - 19

K= ?

Answers

Answer:

k= -89

Step-by-step explanation:

k = 10t - 19 and t = -7

k=10 (-7) - 19

k= -70 - 19

k= -89

Answer:

-89

Step-by-step explanation:

the poduct of 10 and a number is 3 less than the number

Answers

Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

Which point represents the center of the circle below ?

Answers

D.

If you look at the circle the point O is most is obviously in the center .

Answer:

D) Point O is the center.

Step-by-step explanation:

Given : Circle.

To find : Which point represents the center of the circle below.

Solution : We have given Circle.

The center of a circle is the point which is equidistant from all points on the circle.

Point O is equidistant from point R and S and A.

So, Center of the circle is O.

Therefore, D) Point O is the center.

At a neighborhood park, there are 11 spaces for bicycles on a rack by the basketball court. The bicycle rack by the playground has 3 times as many spaces for bicycles as the one by the basketball court. What equation can be used to find the total number of bicycles spaces on the rack by the playground?

Answers

Answer:

Since they are 11 spaces for bicylces and the playground has as many spaces for bicycles then we use this equation 3 x 11 = 33  to find the total number of bicycles spaces on the rack by the playground.

(06.04 MC)



What is the approximate equation of this line of best fit in slope-intercept form?

Answers

Answer:

The equation of the line of best fit is y = (-9/7)x + 13.

Step-by-step explanation:

The y-intercept of this straight line is (0, 13); we could also say that b = 13.

Two points on the graph are (0, 13) and (7, 4).  As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.  

From this observation, we can easily calculate the slope of this line:

m = rise / run = -9/7.

Then the equation of the line of best fit is y = (-9/7)x + 13.

The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).

1. Calculate the Slope [tex](\(m\))[/tex]:

The slope of a line [tex](\(m\))[/tex] is given by the formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:

[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]

[tex]\[ m = \frac{-15}{10} \][/tex]

[tex]\[ m = -\frac{15}{10} \][/tex]

This can be simplified further by dividing the numerator and denominator by 5:

[tex]\[ m = -\frac{3}{2} \][/tex]

So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]

2. Find the Y-Intercept [tex](\(b\))[/tex]:

The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.

3. Write the Equation of the Line:

The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

This equation represents the line that best fits the given data points.

Question

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure

Answers

Answer:

The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=12\ cm[/tex]

[tex]y=9\ cm[/tex]

substitute

[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=\frac{4}{3}[/tex]

[tex]y=390\ cm^{2}[/tex]

substitute and solve for x

[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]

[tex](\frac{16}{9})=\frac{x}{390}[/tex]

[tex]x=390*16/9=693.33\ cm^{2}[/tex]

Assuming a 90% confidence level, the margin of error is approximately?

Answers

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

standard deviation = 2.7√(sample size) = √225 = 15z*-score for 90% confidence level = 1.645

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

Answer:

0.3.

between 20.3 and 20.9

Step-by-step explanation:

Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7

Answers

x equals 7,-1 :)))))))))))

Answer:

D

Step-by-step explanation:

given x² - 6x - 7 = 0 ← in standard form

To factor the quadratic

Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

The solution to the equation is D

Helping my son with math homework. How do you do these types of questions?

7a/10 = 77/60

Answers

a = 11 / 6

You want to find out what a is.

7a / 10 = 77 / 60

Put your equation into the form Ax = B, where x = a

You can multiply both sides by 10 to get rid of the denominator.

7a / 10 * 10 = 77 / 60 * 10

7a = 77 / 6

Put your equation into the form x = B, where x = a

You can get a on it's own by dividing both sides by 7.

7a ÷ 7 = 77 / 6 ÷ 7

a = 77 / 6 ÷ 7

When dividing fractions:

Convert 7 to a fraction: [tex]\frac{7}{1}[/tex]

Flip the second fraction and multiply.

[tex]\frac{77}{6}[/tex]*[tex]\frac{1}{7}[/tex]=[tex]\frac{77}{42}[/tex]

a = 77 / 42

Simplify the fraction by dividing be a common factor - 7.

77 ÷ 7 = 11

42 ÷ 7 = 6

a = 11 / 6
Answer:

The value of a is 11/6

Step-by-step explanation:

see the image

what is the lateral and surface area of a cone with a radius of 3 and height of 3​

Answers

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]

Plz help Needed for graduation!!

Answers

Answer:

[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]

Step-by-step explanation:

[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]

PLEASE HELP ME! Thanks! Brett is making a fruit salad. The recipe calls for 1 1/2 cups of apple, 3/4 cup of

oranges, and 2/3 cup of grapes. How many cups of fruit salad will Brett’s recipe make?

Answers

Answer:

2 11/12

Step-by-step explanation:

first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.

9/12 + 8/12 = 17/12

1/2 = 6/12

17/12 + 6/12 = 23/12

23/12 = 1 11/12

But we still have 1 from the 1 1/2 so add that

1 + 1 11/12 = 2 11/12

2 11/12

Hope this helps! Please mark as brainliest! Thanks!

Camille collects stickers. Her sticker book holds 5 stickers in each row. When a page is full, it holds 65 stickers. How many rows of stickers are on a full page?

Answers

There are 13 rows because 65 divided by 5 is equal to 13.

118,437 stickers. Trust me. I am REALLY good at math.

I need help solving for this

Answers

I believe each teacher gets half a doughnut and mrs. Davis will have 5 doughnuts left

Answer: 12/15 = 0.8

Step-by-step explanation: There are 12 donuts and 15 teachers, just divide the amount of donuts by the amount of teachers. Hope that helps.

Find the distance between (-3,2) and (5, -6) using the distant formula.

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]

The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.

The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:

[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]

Simplify the expression inside the square root:

[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]

The width of a rectangle is 8 inches and the length is 5 inches. What is the perimeter of the rectangle? 13 in. 26 in. 40 in. 21 in.

Answers

The perimeter is the total outside dimensions.

There are 2 sides that are 8 inches and 2 sides that are 5 inches.

Perimeter = 8+8+5+5 = 26 inches.

The required perimeter of the rectangle is 26 inches

What is a rectangle?

A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal and parallel.

What is perimeter?

A perimeter of a figure is the sum of all the sides that bounds the figure.

How to find the perimeter of a rectangle?The perimeter of a rectangle can be found by the formula :  2(length + breadth)

In the given problem,

Length of the rectangle is 5 inchesBreadth of the rectangle is 5 inches.

Perimeter of the rectangle = 2(8 + 5) inches

                                               =  26 inches

Find out more details about "Rectangle" here: https://brainly.com/question/25292087

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the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram ​asap

Answers

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

(12 × 6) × 10 Which of the following is equal to the expression listed above? A. (12 × 6) + 10 B. (12 × 6) × (6 × 10) C. 12 × (6 × 10) D. 10 × 12 + 10 × 6

Answers

C. 12 x (6 x10) = 720

the function h(x)=x^2+3 and g(c)=x^2-6. if g(x)=h(x)+k, what is the value of k?
i am so confused and i really need this answer soon someone please help

Answers

ANSWER

k=-9

EXPLANATION

The given function is

[tex]h(x) = {x}^{2} + 3[/tex]

and

[tex]g(x) = {x}^{2} - 6[/tex]

We want to rewrite g(x) in terms of f(x).

[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]

This implies that,

[tex]g(x) = h(x) + - 9[/tex]

When we compare, we realize that

[tex]k = - 9[/tex]

Write an equation in point-slope form of the line through point (4, -4) with slope, m=4

Answers

Answer:

y + 4 = 4(x-4)

Step-by-step explanation:

Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).

[tex]y - y_1 = m(x-x_1)\\y --4=4(x-4)\\y + 4 = 4(x-4)[/tex]

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