O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answers.

O Is The Centre Of The Circle And ABC And EDC Are Tangents To The Circle. Find The Size Of Angle BCD.

Answers

Answer 1

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°


Related Questions

Caylee caylee build a rectangular prism using 18 cubes that are each measure 1 cm on each side. What could be the dimensions of her rectangular prism

Answers

Answer:

2cm by 3cm by 3cm.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;

=> We have a built rectangular prism.

=> The rectangular prism was built by using 18 cubes.

=> Each of the 18 cubes measure 1 cm on each side.

So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.

That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.

A pump empties the pool at the rate of 1,000 gal every 4 hours. how long does it take to pump out 20,000 gallons?​

Answers

Answer:

80 hours

Step-by-step explanation:

We can use ratios to solve

1000 gal        20000

-------------- = ------------------

4 hours          x hours

Using cross products

1000x = 4*20000

1000x = 80000

Divide each side by 1000

x = 80000/1000

x = 80

80 hours

what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal

Answers

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

a plane flies 1640 miles in 4 hours. what is the average speed of the plane?

Answers

The answer to that question would be 410 miles per hour

Answer:

Speed = 410 miles/hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 1640 miles, Time = 4 hours

Speed = 1640/4

Speed = 410 miles/hour

What’s the square root of 500

Answers

Answer:

22.360679775

Step-by-step explanation:

i used a calulator on the web

Answer:

±10 sqrt(5)

Step-by-step explanation:

sqrt(500)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100*5)

sqrt(100) sqrt(5)

±10 * sqrt(5)

A mother duck lines her 5 ducklings up behind her. In how many ways can the ducklings line up?
Answer

Answers

Answer:

120

Step-by-step explanation:

There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.

Use the equation e^x+e^-x/e^x-e^-x=t tosolve for x

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable  

x = ln ( t − √ t ^2 + 4  )/2x = ln ( t +√ t ^2 + 4  )/2

Answer:

Step-by-step explanation:

I assume that the equation is

[tex]e^x+\frac{e^{-x}}{e^x} -e^{-x}=t \\[/tex]

[tex]e^x+\frac{1}{e^{2x}}-\frac{1}{e^x} = t[/tex]

[tex]e^{3x}+1-e^x=e^{2x}t[/tex]

[tex]e^{3x}-te^{2x}-e^x=-1[/tex]

Let u = e^x

[tex]u^3-tu^2-u=-1[/tex]

[tex]u(u^2-tu-1) = -1[/tex]

if u=1, then [tex]u^2-tu-1 =-1 \longleftrightarrow u^2-tu=0[/tex]

then u = 0 (reject) or u = t

So far, we have u = 1 and u = t

if u =1, e^x =1 , then x = 0

if u = t, then e^x = t or x = lnt

C. 0.045
What is the length of line DE in the figure
bellow?
20cm
cm
13cm
D
21cm
9cm
racing car Covered
B. 16cm
D. 11cm
d:​

Answers

Answer:

can you please give a correct question next time or please make the question clear for the answerer.

thank you

help..................

Answers

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

Please help me with this and explain

Answers

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

Find the greatest common factor of 26 and 14.

Answers

Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D

Answers

Answer:

Option C is the correct answer

[tex] {x}^{2} + 2x - 4[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]

Answer:

Step-by-step explanation:

Find the speed of a car on km/hr that is moving
at speed 144mls​

Answers

Answer:

Speed in km/hr = 518.4 km/hr

Step-by-step explanation:

Speed = 144 m/s

To convert m/s to km/her, you just need to multiply it by 3.6

Speed in km/hr = 144 × 3.6

Speed in km/hr = 518.4 km/hr

Answer:

518.40km/h

Step-by-step explanation:

144m/s

it means that in 1 sec it does 144m

we are searching how many km it does in 1 hour

1 hour = 60*60=3600 sec

so in 3600 sec (= 1 hour) it does 144*3600 m

and 1 km = 1 000m

so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40

the speed of the car is 518.40km/hr

hope this helps

Is 1.273 15688 natural number an integer a whole number a rational number

Answers

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

solve for x.
12x - 8 = 8x - 20

Answers

Answer:

x= -3

Step-by-step explanation:

12x-8x = -20+8

4x = -12

x= -12/4

x = -3

Steps:

Step 1: Subtract 8x from both sides.

12x−8−8x=8x−20−8x

4x−8=−20

Step 2: Add 8 to both sides.

4x−8+8=−20+8

4x=−12

Step 3: Divide both sides by 4.

4x/4   =    −12/4

Answer: x=−3

Please mark Brainliest

Hope this helps.

5 times a number is 14 less than the square of that number. find the negative solution.​

Answers

Answer: The negative solution is -2

Step-by-step explanation:

[tex]5x+14=x^2\\x^2-5x-14=0\\\\(x-7)(x+2)=0\\x_1=7\\x_2=-2[/tex]

Help please: (n^4)^-3(n^4)^-1

Answers

Answer:

1/n^16

Step-by-step explanation:

Brainliest? Answer ASAP plz Which of the following values are in the range of the function graphed below? Check all that apply.

Answers

Answer: D.6

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The on;y possible value for y is Y=6, so the answer is D

Answer:

6

Step-by-step explanation:

The range is the output values, or in this case the y values

The only y value is 6

The range is 6

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

Which of the following represents a function?

Answers

Answer: C, a set of coords is only a function if it passes the vertical line test

Step-by-step explanation:

This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test

B easily fails the test just by visually looking at it. It fails the line test

C has different x values so this looks promising. It passes the line test

D has the number 5 correlating with multiple y values. It fails the line test

Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answers

Answer:

The logo has an area of 5.7 cm².

Step-by-step explanation:

The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.

[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]

[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]

The total area of the figura is:

[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]

The logo has an area of 5.7 cm².

Sari wrote the equivalent ratio below to convert cups to fluid ounces

Answers

The answer will be B. 72

Answer:The answer to this problem is 72 fluid ounces

Step-by-step explanation:

[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.​

Answers

Step-by-step explanation:

[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]

Answer:

[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Step-by-step explanation:

[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]

[tex]\mathrm{Square\:both\:sides}[/tex]

[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]

[tex]R^2=\frac{ax-P}{Q+bx}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]

[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]

[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]

[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]

[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]

[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]

[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]

[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]

[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]

[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]

[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]



PLEASE I NEED IT ASAP (5 MIN) 24 POINTSSS


A 2-column table with 4 rows. Column 1 is labeled Bag Size with entries 2 pound, 6 pound, 8 pound, 12 pound. Column 2 is labeled Price with entries 4 dollars and 50 cents, 12 dollars and 30 cents, 16 dollars and 80 cents, 25 dollars and 20 cents. Darryl needs 84 pounds of coffee for his deli. Use the prices for the different-size bags shown in the table to identify which size bag he should buy, the number of bags he will need, and the total price for that number of bags. Which size bag should Darryl buy? How many of those bags will he need? What will be the total cost of the coffee?

Answers

Answer:

6 pound - first one

14 - second one

$172.20 - third one

Answer:

94.88

Step-by-step explanation:

this is the right answer

Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC

Answers

Answer:

-3, -3

Step-by-step explanation:

The coordinates of point B on line AC is (6/7, -30/7).

Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.

What is the section formula?

The section formula is P(x, y)[tex]=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )[/tex].

Now, AB= 3/4 AC⇒AB:AC=3:4

P(x,y)[tex]=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )[/tex]

=(6/7, -30/7)

Therefore, the coordinates of point B on line AC is (6/7, -30/7).

To learn more about the coordinates visit:

https://brainly.com/question/7869125.

#SPJ5

CAn someone please help

Answers

I cant see I have bad eye sight sorry

no. of squares=90

no. of toothpicks=(89*3)+4

=271

rule of patern = 4+3+3...

no. of toothpicks=1000

no. of squares= (996÷3)+1

= 333

Please help me with my question!!

Answers

Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10

What is 1c, (look at photo) I will make you brainliest!!!!

Answers

Answer:

p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).

Step-by-step explanation:

For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.

yo pleaseee help me w these!! marking brainiest!!!

Answers

The answer to the solution of x^2+4=8x+5
D. x=4+/- √17

HELP QUICKLY Christina and Youssef work in office buildings that are 80 feet away from each other. From the top of her office building, Christina notices that the angle of elevation to the top of Youssef’s building is 45°. The angle of depression from Christina to the base of Youssef’s building is 56°. Find the height of Youssef’s office building, rounded to the nearest tenth of a foot.

Answers

Answer:

About 198.6 feet

Step-by-step explanation:

This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.

Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:

[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]

Now, let's do it for the upper part, which we'll call y:

[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]

Adding these together, you get a height of approximately 198.6 feet. Hope this helps!

Answer:

answer is 198.6

Step-by-step explanation:

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