The circle below has centre O.
BC and DE are tangents to this circle.
Work out the size of angle 0.
Give reasons for your answer.
A
56°
B
O
D
21°
0
C

The Circle Below Has Centre O.BC And DE Are Tangents To This Circle.Work Out The Size Of Angle 0.Give

Answers

Answer 1

Answer:

Step-by-step explanation:

Tangent is perpendicular to radius at point of contact.

So, ∠ABO=∠ACO=90

In a quadrilateral, the sum of the angles is 360

​.

∠BAC+∠BOC+∠ABO+∠ACO=360

∴∠BAC+∠BOC=18​0

                     ∠BOC=180

−40

                     ∠BOC=140

So, option C is the answer


Related Questions

What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?

Answers

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

Answer:

367.6 m³

Step-by-step explanation:

h=13       r=3                              identify variables

V= πr² h                                  use volume of a cylinder formula

V=π(3)²(13)                            substitute variables into formula

V= 367.56634047                   multiply

V=367.6 m³                            round to the nearest tenths place

Translate the sentence into an equation.

Seven more than the product of a number and 3 equals 5.

Use the variable w for the unknown number.

Answers

7+(w+3)=5
This is the answer to your question

The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Product of w and 3 = 3w

7 more then 3w = 3w + 7

It is equal to 5 so,

3w + 7 = 5

3w = 5 - 7

w = -2/3

Hence "The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

i need help with these questions

Answers

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

What does x equal?
5x + 4 = 1

Answers

Answer:

x= -5

Step-by-step explanation:

What is the perimeter of the triangle?

Answers

The perimeter of the triangle is 34.2 units

How to determine the value

To determine the value of the perimeter, we need to know the following;

A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygon

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

Learn more about triangles at: https://brainly.com/question/14285697

#SPJ1

Building a has 7,500 ft of an office space for 320 employees building b has 9,500 square feet of office space for 370 employees which building has more square feet of space per employee explain

Answers

Answer:

I believe the correct answer is Building B

Step-by-step explanation:

Building A is 23.45 per employee and Building B is 25.67 per employee

I NEED HELP ON THIS ASAP!!!!!

Answers

Answer:

1. 3.48 i think but 2. is 115

Step-by-step explanation:

HELP HELP ASAP ASAP WILL MARK BRAINLIEST

PLEASE EASY POINTS

Answers

Answer: yes

Step-by-step explanation: it’s a right triangle

Answer:

No

Step-by-step explanation: all ik its know because the length is not  the same as the other side so no

Order these numbers from least to greatest. 8.009, 8.7, 8.09, 8.7082

Answers

8.009
8.09
8.7
8.7082
Good Luck!

Answer:

8.009 , 8.09 , 8.7 , 8.7082

Step-by-step explanation:

Convert all numbers to decimals.

8.009 = 8.009

8.7 = 8.7

8.09 = 8.09

8.7082 = 8.7082

Arrange the numbers in ascending order.

8.009 , 8.09 , 8.7 , 8.7082

HELP ASAP!!!!
thank you so much if you helped!!

Answers

Answer:

H. 22 hours

Step-by-step explanation:

He earns $8 per hour.

176 ÷ 8

22

yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!

Answers

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent side. To get the adjacent side, use the Pythagorean Theorem:

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 16

√b² = √16

b = 4

tan(O) = opposite/adjacent side

tan(O) = 3/4

how do you give someone brainliest on a computer?

Answers

brown flag click that

I'm a little confused so I have no need for an explanation just answer honestly

Answers

Y=105 and X=25
Hope this helps

Please help me NO LINKS PLEASE ✌︎('ω'✌︎ )

Answers

Answer:

substitution method

x = 7

y = 2

Step-by-step explanation:

2x - 2y = 10

x = 7

substitute for x:

2(7) - 2y = 10

14 - 2y = 10

subtract 14 from each side of the equation:

-2y = -4

divide both sides by -2:

y = 2

A quadratic function is defined by \small f\left(x\right)=x^2-8x-4. Which expression also defines \small f and best reveals the maximum or minimum of the function?

Answers

Answer:

f(x) = [x – (4 + √20)][x – (4 – √20]

Step-by-step explanation:

In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.

x² – 8x – 4 = 0

Using completing the square method

x² – 8x = 4

x² – 8x + 4² = 4 + 4²

(x – 4)² = 20

x = 4 ±√20

Therefore

f(x) = [x – (4 + √20)][x – (4 – √20]

Will make brain list

Answers

For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]

We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].

So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:

h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]

                          = [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]

                          = [tex](-2)-(\frac{16 }{-4} )[/tex]

                          = [tex](-2)-(-4)[/tex]

                          = [tex]2[/tex]

For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.

Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)

. Out of 40 pupils only 30 pupils submitted their project on time
What percent of the pupils submitted their project on time?
Asked:
Given:
Operation:
Number Sentence:
Solution:
Answer:​

Answers

Answer:

75 %

Step-by-step explanation:

To solve for the above question,

The percentage of pupils that submitted their project on time

= Number of pupils that submitted their project on time/Number of pupils × 100

Number of pupils that submitted their project on time = 30 pupils

Number of pupils = 40 pupils

= 30/40 × 100

= 75 %

The percent of the pupils that submitted their project on time is 75%

In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.

Answers

Answer:

518

Step-by-step explanation:

Evaluate the function.

f(x)=-x^2-14

Find f(9)

Answers

f(9)= -95 hope that helps!!!

help pls i gotta get everything done by today

Answers

Answer:

its in my comments thingy

Step-by-step explanation:

YOUR WELCOME :3

Please help me on this!!
Find the area of a parallelogram with base b and height h.
B=74 cm
H=14.8 cm
answer from me: 1,095.2 cm
Use 3.14 the diameter is 28.2, find the area of a circle.
answer from me: 624.26 m
identify the sets to which the number belongs.
answer from me: integer, rational number
thank you so much, plz help if you can

Answers

Answer:

1095.2 cm² is correct (don't forget to say it's cm squared)

624.26 m² is correct                 (ditto)

I'm not 100% sure what the identity of the sets means, you're probably correct though

Step-by-step explanation:

area = 74 x 14.8 = 1095.2 cm²

radius = 28.2/2 = 14.1

area = 3.14(14.1²) = 624.26 m²

If m< BOE = 130 degrees and m< cob = 80 degrees

Answers

Answer:

then what?

Step-by-step explanation:

do we have to find the angle?

all I know is every right triangle is equal to 90°

Please I need this will mark brainliest

Answers

im editing it i pressed send by accident

Answer:

8) x - intercept: (-7, 0)

y - intercept: (0, -7)

9) x- intercept: (4,0)

y- intercepts: ( 0, 8)

10) x- intercepts: (9,0)

y- intercepts: (0,3)

Step-by-step explanation:

Please help! Will give brainlist if correct! :(

Answers

Answer:

Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.

Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.

To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)

Step-by-step explanation:

1) Find the total surface area of the following figure. Round your answer to the
nearest whole number.

.471 in2
.432 in2
.498 in2
.456 in2

Answers

Answer:

.471 in2

Step-by-step explanation:

Use the formula for total surface area of a cylinder: 2*pi*r^2(top and bottom circle) + 2*pi*r*h (the surface around)

Can someone please explain how to solve these questions.

Answers

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

Are there proportional

Answers

Yes because each y is +3 of x

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)

Answers

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]

What value of x makes this equation true? 12 x - 15 = 6 - 3 x

Answers

Answer:

[tex]x = 1\frac{2}{5}[/tex][tex]x = 1\frac{2}{5}[/tex]

Factoriza la diferencia de cubos

1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³

Answers

Answer:

The first one will be equal 2

Because

[tex] \frac{ - 64}{8} = - 8[/tex]

[tex]x ^{3} = 8 \\ [/tex]

[tex] \sqrt[3]{ - 8} = - 2[/tex]

Oh sorry i read the question wrongly i thought you wanted the value of x

Step-by-step explanation:

main formula used

a³-b³=(a-b)(a²+ab+b²)

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