A, B and D are points on the circumference of a circle, centre O.
BOD is a diameter of the circle.
BC and AC are tangents to the circle.
Angle OCB =34.
Work out the size of angle DOA.
Answers
Answer:
Step-by-step explanation:
A tangent makes a 90° angle to the circle.
∠BOC = 180°-90°-34° = 56°
△AOC is congruent to △BOC, so ∠AOC = 56°
∠DOA = 180°-56°-56° = 68°
The size of the angle DOA is 68°
What is the tangent of the circle?"It is the line which intersects the circle exactly at one point."
For given example,
BC and AC are tangents to the circle.
∠OCB = 34°
As, OC is the angle bisector for ∠ACB
⇒ ∠OCB = ∠OCA
⇒ ∠OCA = 34°
⇒ ∠ACB = ∠OCB + ∠OCA
⇒ ∠ACB = 34° + 34°
⇒ ∠ACB = 68°
We know, the tangent to a circle is perpendicular to the radius of the circle.
⇒ CB ⊥ OB
⇒ ∠OBC = 90°
and CA ⊥ OA
⇒ ∠OAC = 90°
We know, the sum of all angles of quadrilateral is 360°.
For quadrilateral ACBO,
⇒ ∠OAC + ∠ACB + ∠OBC + ∠BOA = 360°
⇒ 90° + 68° + 90° + ∠BOA = 360°
⇒ ∠BOA = 112°
We know, the angle subtended by semicircle is 180°.
⇒ ∠AOB + ∠DOA = 180°
⇒ 112° + ∠DOA = 180°
⇒ ∠DOA = 68°
Therefore, the size of the angle DOA is 68°
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Related Questions
What is the missing value of 5x-2y=30 (8,)
Answers
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Y=x(4)/2+3x(3)-2x-12
Answers
Answer:
[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}[/tex]Simplify Exponents: [tex]\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Divide: [tex]\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Multiply: [tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]Infrared, ultraviolet and visible light are
all part of the electromagnetic spectrum.
The basic difference between them is
their
source
speed
wavelength
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Answers
HELP IF I DONT PASS THIS IS STAY IN THe GRADE I AM IN PLZZ
Answers
Answer:
2 1/9
Step-by-step explanation:
decimal 2.111111111111111111111111111
just cut 2 in half then 2/9 in half
Answer:
2 1/9
Step-by-step explanation:
turn the mixed number into an irregular fraction then divide.
38/9 ÷ 2
38/9 * 1/2 = 38/18 because you multiply by the reciprocal
2 1/9 is the answer
Factoriza el siguiente trinomio 6x^2 – 26x – 200
Answers
Answer:
2 (x + 4)(3x - 25)
Step-by-step explanation:
[tex]6 {x}^{2} - 26x - 200[/tex]
[tex]3 {x}^{2} - 13x - 100[/tex]
[tex]2 (x + 4)(3x - 25)[/tex]
help me please how do i do this
Answers
Answer:
41 degrees
Step-by-step explanation:
In a parallelogram, opposite angles are equal, so:
[tex]3x+11=5x-9\\-2x = -20\\x=10\\\\E = 3x + 11\\E = 3 * 10 + 11\\E = 30 + 11\\E = 41[/tex]
HELP DUE IN 10 MINS!
Attached is the Question.
Answers
Answer:
∠N ≅ ∠J - givenLN ≅ LJ - given∠L ≅ ∠L - reflexive propertyPostulate: ASA
Congruency Statement: ΔJML ≅ ΔNKL
can you help me please
Answers
Answer:
0.07
Step-by-step explanation:
its gonna be sin 7/10 which is approx. 0.06569 rounded to the nearest tenth is 0.07
Answer:
So judging by the fact that this is a right triangle clearly we know that we have 90 degrees. X is less than this and doesn't seem equal to the top angle area which looks to be 50 or so degrees I believe side x is 30 or 35 degrees. Sorry if I'm wrong! -Your friend, Bill Cipher
Step-by-step explanation: Have a great V-day <3
26
24
10
HELP PLSSsSs
Answers
Answer:
what is the question? all I see is a drawing w labels
Area semicircle = 1/2 * pi * r^2
= 1/2 * 3.14 * 13^2
= 1.57 * 169
= 265.33
Area of triangle = 1/2 * base * height
= 1/2 * 24 * 10
= 12 * 10
= 120
265.33 + 120 = 385.33
I’m confused on my math someone help
Okay so we’re trying to find out if they are true or false I guess so the first question is HELP MEEE
Answers
Answer:
False, True, True are thr answers
2/3*9 is 6 which is not greater than 8
True
-3-1 equals -4 so -4 is less than or equal to -4
True 6*4 is 24 so 48-24 is 24 and 24 is greater than 20
Explain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept
Substitute the slope for
and the y-intercept for
in the slope-intercept form
Answers
Answer:
Step-by-step explanation:
example
we are given: slope = 5, y-intercept = 9
y=mx+b
we just plug it in
y=5x+9
I bought 500 pieces of candy. If 42% of the candy was eaten. How many pieces
were ate?
Answers
Answer: 210
Step-by-step explanation:
42% is equal to the fraction 42/100.
We can multiply 42/100 by 500 to find how much candy was eaten.
42/100 x 500 = 210.
Therefore, 210 pieces of candy were eaten. Hope this helps and good luck!
Answer:
210
Step-by-step explanation:
500 - 42%= 290
500 - 290 = 210
210 = Answer
What is the area on this?
Answers
Area of the rectangle is length x width = 5 x 10 = 50 sq. cm
Area of the triangle is 1/2 x base x height, base = 17-10 = 7, height = 5
Area = 1/2 x 7 x 5 = 17.5 sq.cm
Total area = 50 + 17.5 = 67.5 sq. cm.
Mrs. Cho is bringing cans and bottles to a recycling center. For a type A can, she gets 5 cents. For type B can, she gets 10 cents. She knows that she has redeemed at least 11 cans but has no more than 95cents. What are the possible combinations?
Answers
Answer:
One possible solution be -
Mrs. Cho is brings type A cans = 10
Mrs. Cho is brings type B cans = 3
Step-by-step explanation:
Let us assume
Mrs. Cho is brings type A cans = x
Mrs. Cho is brings type B cans = y
As given,
For a type A can, she gets 5 cents and For type B can, she gets 10 cents
As we have x Type A cans and y Type B cans
And she has redeemed no more than 95 cents
⇒5x + 10y ≤ 95 .......(1)
Also given,
She has redeemed at least 11 cans
⇒ x + y ≥ 11 ........(2)
∴ we get
x + y ≥ 11
5x + 10y ≤ 95
By applying graphical method , we get
The equations become
5x + 10y = 95 .......(1)
x + y = 11 ........(2)
Table for equation (1) -
x y
0 9.5
19 0
Table for equation (2) -
x y
0 11
11 0
The two lines intersect at point (3, 8)
So the possible combinations are in the shaded portion which is covered by both the lines.
One possible combination is ( 10, 3) which lies in the shaded region.
So,
Mrs. Cho is brings type A cans = x = 10
Mrs. Cho is brings type B cans = y = 3
Three houses are sold for:
£187000, £253000 and £141000
The company earns 2% commission on
each house.
What is the total commission earned?
Answers
Answer:
11,620$
p-by-step explanation:
Evaluate (4-^2)^2. Help me now now
Answers
Answer:
aksksjjsjsjjsjsjejjssnehjejeejejkejjs
Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1
Answers
Answer:
[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]
Step-by-step explanation:
[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]
Lets take the L.C.M of 7 & 9.
L.C.M of 7 & 9 = 63
[tex] = > \frac{9x - 7x}{63} = - 1[/tex]
[tex] = > \frac{2x}{ 63} = - 1[/tex]
Now lets multiply 63 on both the sides.
[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]
[tex] = > 2x = - 63[/tex]
Now lets divide both the sides by 2.
[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]
[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]
Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his bank. If he wants to finance only $2,800, what percent of the total cost should his down payment be?
Answers
Answer:
62.22% I think.
Step-by-step explanation:
Have a good day.
Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?
Answers
Answer: 19.2 cm
Step-by-step explanation:
A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:
= 4.08 * 100
= 408 cm
She cuts this into 10 equal pieces:
= 408 / 10
= 40.8 cm
Martha cuts her 540 cm wire into 9 pieces. Each piece is:
= 540 / 9
= 60 cm each
The difference is:
= 60 - 40.8
= 19.2 cm
On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?
Answers
Answer:
2/35
Step-by-step explanation:
total of 15 books
P(Adv,Hist) = 3/15 · 4/14 = 1/5 · 2/7 = 2/35
What is the slope of the line l ? (-2,9) (6,1)
Answers
explanation: -2-9/6-1 =-11/5
PLZ HELP MEEEEEEEEEEEEEEEEEE
Answers
The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?
Answers
Answer:
1 pound of sunflower seeds will cover about 187 square feet of land
Step-by-step explanation:
To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.
Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:
if 1.5 pounds covers 280 square feet
1 pound will cover x square feet.
by cross multiplying, we have that
x = (280 X 1) / 1.5 = 186.66 square feet.
Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land
In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?
Answers
[tex]tan \: j \: = \frac{opp}{adj} [/tex]
[tex]tan \: j \: = \frac{11}{60} [/tex]
[tex]sin \: f = \frac{opp}{hyp} [/tex]
[tex]sin \: f = \frac{12}{37} [/tex]
i need someone thats good at math pls help me i dont have the dot plot but i need the mena answer the median sentence and median answer pls
Answers
Answer:
to work out the median you put the numbers in ascending order and then cross one number from the left and right side one at a time until you reach the middle, if you have lots of numbers then add one to the number of items in the data and divide by two.The triangle shown below are similar. Solve for x. 
Answers
Answer:
x=16
Step-by-step explanation:
27/45=(2x+7)/(4x+1)
cross multiply
27(4x+1)=45(2x+7)
108x+27=90x+315
108x-90x=315-27
18x=288
x=288/18
x=16
Looking at the image, The triangle shown below are similar. The value for x is 16.
What is the triangle about?Note that in the triangle given, the shapes are similar. Therefore:
27/45 = 2x + 7/ 4x + 1
3/5 = 2x + 7/ 4x + 1
So:
3 (4x + 1) = 5 (2x + 7)
12x + 3 = 10x + 35
12x - 10x = 35-3
2x = 32
x = 32/ 2
x = 16
Therefore, the value of x is 16.
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45 points fellas cmon
Answers
Answer:
4x + 4y
Step-by-step explanation:
Hopefully this is the correct answer and hope this helps
Answer:
YES YOU ARE CORRECT!!!
Because....
4x+2y=20
2x+y=10
4x2=8 2x y(1)=2
8+2=10
Step-by-step explanation:
hope that helped you! :)
1.3, 0.9, 1.1, 0.7, 0.5, 1.0 The mode is
Answers
Answer:
The mode is when a specific number occurs more than the others
There is no mode my guy
the numbers that are in the bunch are only occurring once.
Step-by-step explanation:
Solve the equation by substitution y=x+1 and 2y=3x
Answers
Step-by-step explanation:
suby=x+1 in 2y=3x
2(x+1)=3x
2x+2=3x
2=3x-2x
2=x
Mikayla caught a value pack of crackers for $6.72. The value pack had 24 individually wrapped crackers packages. Solve 24x = $6.72 to find the cost per package in dollars.
Answers
Answer:
0.28$
Step-by-step explanation:
divide