The points A, B, C and D lie on a circle centre O.
Angle AOB = 90° angle COD= 50° and angle BCD= 1239
The line DT is a tangent to the circle at D.
Find
(a) angle OCD
Answers
The measure of angle OCD from the given figure is 58°.
Given that, the points A, B, C and D lie on a circle Centre O.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Here, OC and OB are radius of a circle, then BOC is isosceles triangle
Now, ∠BOC+∠OBC+∠OCB=180°
50°+∠OBC+∠OBC=180°
⇒ 2∠OBC=130°
⇒ ∠OBC=65°
Here, ∠OCD=∠BCD-65°
⇒ x=123-65=58°
Hence, the measure of angle OCD from the given figure is 58°.
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Related Questions
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answers
Answer:
401.24m
Step-by-step explanation:
the length is,
97x2 + 66x3.14
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
Answers
Answer:
$600.00
Step-by-step explanation:
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
We solve using Compound Interest formula which is given as:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 per year,
Then, solve the equation for P
P = I / ((1 + r/n)^nt - 1)
P = 30 / ((1 + 0.05/1)^(1×1) - 1)
P = 30 / ((1 + 0.05)^(1) - 1)
P = $600.00
Use log 3 = .477 and log 6 =.778 to approximate the expression. log 2
Answers
Answer:
0.301
Step-by-step explanation:
Given that log 3 = .477 and log 6 =.778
Log 2
= log(6/3)
= log 6 - log 3
= 0.778 - 0.477
= 0.301
Hence the value of log 2 is 0.301
which of the following is the result of the equation below after completing the square and factoring x^2+3x+8=6
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]
[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]
[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]
[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]
[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]
[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]
[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]
[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]
[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
0.16 which number is in the hundreds place
Answers
Answer:
A decimal is always placed in this order :
thousands, hundreds, tens, separator, tenths, hundredths, thousandths.
In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.
Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?
Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210
Answers
Answer:
the answer is the third option
Step-by-step explanation:
(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR
Answers
Answer:
write these time in words 3:45
Help please I’ll give you the brainliest I really got to get this done
Answers
Answer:
56
Step-by-step explanation:
PLEASEEE I nEEED THE ANSWER TnT
NOTE: pls ignore another language just read the english one... ASAP
Answers
Answer:
x -1 1 3
y -2 -4 2
Step-by-step explanation:
y=x^2-x-4
when x=-1
y=(-1)^2-(-1)-4
y=1+1-4
y=-2
when x=1
y=(1)^2-(1)-4
y=1-1-4
y=-4
when x=3
y=(3)2-(3)-4
y=9-3-4
y=9-7
y=2
The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?
Answers
Answer:
It b
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
I did the test
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answers
Answer: easy
Step-by-step explanation: 0.25 there
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0
Answers
Answer:
b = -a
Step-by-step explanation:
We know that:
On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).
And we know that, for example, when:
b = 2, a = -2
Remember that the distance between two values is given by:
|n - m|
Then the distance between 0 and b is:
|0 - b|
and the distance between 0 and a is:
|0 - a|
we have:
|-b| = |-a|
|b| = |a|
But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:
b = -a
or
-b = a
(these are equivalent)
Then the correct option is the first option:
b = -a
Need help rn please
Geometry
Answers
Answer:
Step-by-step explanation:
9). Dimensions of the logo = 4 inch by 6 inch
∵ 12 inches = 1 feet
∴ 1 inch = [tex]\frac{1}{12}[/tex] feet
Therefore, dimensions of the logo (in feet) will be,
[tex]\frac{4}{12}[/tex] feet by [tex]\frac{6}{12}[/tex] feet Or [tex]\frac{1}{3}[/tex] feet by [tex]\frac{1}{2}[/tex] feet
Dimensions of the logo which are 6 times larger than the original one.
Dimensions of the advertisement = [tex]\frac{6}{3}[/tex] feet by [tex]\frac{6}{2}[/tex] feet
= 2 feet by 3 feet
Area of the advertisement = 2 × 3
= 6 feet²
10). By the property of similar polygons,
"Corresponding sides of two similar polygons are proportional"
If the dimensions of two similar polygons are 'x' and 'kx'
Ratio of the perimeter of two polygons = [tex]\frac{\text{Perimeter of the image polygon}}{\text{Perimeter of the original polygon}}[/tex] = k
Ratio of area of two similar polygons = [tex]\frac{\text{Area of the image polygon}}{\text{Area of the original polygon}}[/tex] = k²
Ratio of volumes of two similar polygons = [tex]\frac{\text{Volume of the image polygon}}{\text{Volume of the original polygon}}[/tex] = k³
What is the area of the figure shown below, in terms of π ?
(?+?π)square units
Answers
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
Answers
B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n
[a is the first term, d is the common difference]
Which of the following rational functions is graphed below?
100
- 10
10
O A. Ax) = 3x=1
X-1
O B. F(x) =
(x - 3)(x + 1)
O C. F(X) =
(x − 3)(x + 1)
O D. F(x) = (x=3**
(+ 1)
Answers
Answer:
D
Step-by-step explanation:
D
The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function is shown.
Here, The graph is not defined at x = 3, and x = - 1.
Hence, By option;
The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
Thus, The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
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what is f(0) for the function f(x) =2x+3
Answers
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
I don't get how to do this.
Answers
Answer:
426 chickens
Step-by-step explanation:
let the pigs = x
the ducks = 2×x = 2x
the chickens = 3×(2x) = 6x
x +2x +6x = 639
9x=639
x = 639/9 = 71
the chickens = 6x = 6×71 = 426
Answer:
[tex]426\:\mathrm{chickens}[/tex]
Step-by-step explanation:
Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:
[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.
Substituting, we get:
[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]
Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:
[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]
Using the graph, determine the coordinates of the vertex of the parabola.
Answers
Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
how to prove sinA+sin2A/1+cosA+cos2A=tanA
Answers
Answer:
my answer is in this picture. sorry about my handwriting.
What type of transformation does shape A undergo to form shape B?
Answers
the answer is a 90° clockwise rotation
Help ASAP please!!!!!!!!!
Answers
Answer:
1/4
Step-by-step explanation:
pitches >3
pitches=4,5
P=(15+10)/(15+20+40+15+10)=1/4
Which expression is equivalent to f+f+8ff+f+8f?
Answers
Answer:
8f² + 11f
Step-by-step explanation:
there are no expressions listed
This is the expression simplified
8f² + 11f
there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime
Answers
Answer:
the difference is 39? for the answer
Step-by-step explanation:
The question is not exactly worded in such a way that one can tell how it should be answered.
If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are
17 + 23
37 + 3
11+ 29
So the difference between 37 and 29 = 8
There are no guarantees about this answer. I'm just doing it the way the question reads.
Please answer quickly, simple geometry
Answers
OPTION C IS THE CORRECT ANSWER.
pls help my computers about to die lol
Answers
Answer:
Elapsed 10 hours and 50 minutes
Step-by-step explanation:
So it's 5:25 pm to 4:15 am.
It goes by 50 mins to get from 5:25 to 6:15.
Now the hours.
It has passed 10 hours to get 6:15 pm to 4;15 am.
Convert r=5/3sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answers
Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
Solve for x.
3x + 10
3x +
x = [?]
Answers
Answer: x = 28
Step-by-step explanation:
3x+10+3x+2=180
6x+12=180
6x=168
x = 28
Answer:
x=28
Step-by-step explanation:
Since both lines going up are parallel, we can label the angle to the left of the angle with the measure of 3x+10 3x+2. These angles are supplementary as they are on different sides of the same line. This means that:
(3x+10)+(3x+2)=180
6x+12=180
6x=168
x=28
-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please-4(7j+2=10 please help, please!
Answers
Answer:
x=12 . x=-12
Step-by-step explanation:
ONce you do the quadratic equasion than you move on to the solving part and from ther it is easy
Name three deficiency diseases associated with diet and state their causes
Answers
Answer:
Iron deficiency, hypoglycemia, and scurvy.
Step-by-step explanation:
Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.
Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia. People would have to consume more glucose or take insulin shots to get the amount back to normal.
Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.