In the given circle with the centre O,
angle ABC = 100° angleACD = 40° and CT is a tangent to the circle at C. Find Angle ADC and Angle DCT.
Answers
Step-by-step explanation:
As the points A, B, C and D lie on a circle, So, ABCD is a cyclic quadrilateral...
As, Sum of opp. ∠s in a cyclic quadrilateral = 180°
∴ ∠ADC + ∠ABC = 180°
=> ∠ADC + 100° = 180° => ∠ADC = 80°
Now,
Sum, of all angles in a traingle = 180°
In ΔACD, ∠CAD + ∠ADC + ∠ACD = 180°
=> ∠CAD + 80° + 40° = 180°
=> ∠CAD = 180° - 80° - 40° = 60°
As CT is tangent to the circle at the point C and CD is a chord of the circle, So
∠DCT = ∠CAD........(∠s in alternate segments are equal,,So ∠CAD = 60°)
=> ∠DCT = 60°
Hope it helps you!!Answer:
See below ~
Step-by-step explanation:
∠ADC
∠ABC + ∠ADC = 180° (Angles in a cyclic quadrilateral)∠ADC = 180° - 100° = 80°∠DCT
∠DCT = ∠CAD (ANGLES IN ALTERNATE SEGMENTS EQUAL)∠CAD = 180° - 80° - 40° = 60°∠DCT = 60°Related Questions
help me!
[tex]\sqrt{84} +\sqrt{84} =?[/tex]
Answers
Answer:
18.4
Step-by-step explanation:
Well the square root of 84 isn't an exact answer.
But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.
So 9.2 + 9.2 = 18.4.
So the answer is ≈ 18.4
Have a good day or night wherever you are. May GOD Bless You!!
Answer:
=> 18.3303028 or 18.4
Step-by-step explanation:
=> √84 +√84 {√84 = 9.16515139 or 9.2}
=> 18.3303028 or 18.4
help please will mark brainly when can
let a,b,c, and d be integers select yes or no to indicate whether each number is a possible product for a/b • c/d
8.96 [ yes ] [ no ]
[tex]5 \sqrt{6} [/tex]
[ yes ] [ no ]
15 [ yes ] [ no ]
[tex] \binom{\pi}{4} [/tex]
[ yes ] [ no ]
Answers
The expression a/b * c/d is an illustration of number types
The truth value of 8.96 is yesThe truth value of 5√6 is noThe truth value of 15 is yesThe truth value of π/4 is yesHow to determine the true values of the numbers?The expression is given as:
a/b * c/d
Next, we test the given numbers
(a) 8.96
Express 8.96 as a fraction
8.96 = 896/100
Express the numerator and the denominator as products
8.96 = (224 * 4)/(50* 2)
Split the fraction
8.96 = 224/50 * 4/2
The above equation shows that 8.96 can be written in the form a/b * c/d.
Hence, the truth value of 8.96 is yes
(b) 5√6
Express 5√6 as a product expression
5√6 = 5 * √6
Evaluate the product
5√6 = 12.2474.....
The result of 5√6 is a non-terminating decimal
Hence, the truth value of 5√6 is no
(c) 15
Express 15 as a fraction
15 = 90/6
Express the numerator and the denominator as products
15 = (9 * 10)/(3 * 2)
Split the fraction
15 = 9/3 * 10/2
The above equation shows that 15 can be written in the form a/b * c/d.
Hence, the truth value of 15 is yes
(d) π/4
Express π as 22/7
π/4 = 22/7/4
Rewrite the expression as products
π/4 = 22/7 * 1/4
The above equation shows that π/4 can be written in the form a/b * c/d.
Hence, the truth value of π/4 is yes
Read more about numbers at:
https://brainly.com/question/24670740
Find the missing side lengths. ( BC and DE)
Answers
Answer:
BC= 24, DE= 15
Step-by-step explanation:
You can use the Pythagroean theorem which is a^2+b^2=c^2.
So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.
EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.
How many milligrams are equal to 17. 9 grams?
A. 0. 0179 mg
B. 179 mg
C. 17,900 mg
DX. 179,000 mg
Answers
Answer:
17,900 mg
Step-by-step explanation:
I took the k12 test today
please solve this paper
Answers
Answer:
1. the, from, although, won't he, ourselves
2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.
3. was, worked
Step-by-step explanation:
Hope this helps!
Which of these graphs represents a function
Answers
Answer: Answer X
Step-by-step explanation:
In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.
what is the area of the triangle
Answers
Answer:
390
[tex]\frac{26x30}{2} =390[/tex]
Hope This Helps! :)
How many 1/20 are there in 1/4?
Answers
Answer:
there are 5
Step-by-step explanation:
A rock was thrown from a cliff. Its path can be modelled by the relation h=-0.5d^2 + d + 12, where h is the height of the rock above the ground and d is the horizontal distance, both in metres. a) How high is the cliff? b) Write the relation in intercept form. c) Determine the zeros of the relation. d) At what horizontal distance did the
rock hit the ground? e) Graph the relation.
Answers
a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.
How to analyze a second order polynomial related to the trajectory of the rock under parabolical motion
An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).
a) The height of the cliff is found by evaluating the function at d = 0:
h = - 0.5 · 0² + 0 + 12
h = 12 ft
The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]
b) The intercept form of the quadratic function is found by algebraic procedures:
h = - 0.5 · d² + d + 12
h = - 0.5 · (d² - 2 · d - 24)
h = - 0.5 · (d - 6) · (d + 4)
The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]
c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]
d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]
e) The relation is graphed below. [tex]\blacksquare[/tex]
To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/5975436
13. A triangle has angle measurements of
36°, 36° and 108°. Is the triangle acute, obtuse
or right? How do you know?
Answers
108 > 90
Indira drew 3 animals: an eagle, a snake, and a shark. She drew each animal twice, once with green eyes and once with red eyes. Ten students chose their favorite drawing. Three of them chose the shark with red eyes.
How many possible outcomes are there in the sample space of her experiment? Based on the results, what is the experimental probability that a shark with red eyes is not picked, written as a percent?
(PLEASE HELP!!)
Answers
Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.
Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:
p = 7/10 = 0.7 = 70%.
Hence, there is a 70% experimental probability that a shark with red eyes is not picked.
For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.
More can be learned about probabilities at https://brainly.com/question/14398287
You inherit $5000 from your long lost Uncle Harold. The bad news is that the money must sit in a bank account for the next ten years until you can use it. The account earns 7. 2% interest, compounded annually. This means that you will need to multiply the amount of money by 1. 072 to determine how much money remains at the end of the next year
Answers
Answer:
5360
Step-by-step explanation:
5000*1.072=5360
To avoid a storm, airline
pilots flew the path shown
at the right from Houston to
Cleveland. How many
miles farther did they travel
than if they had gone directly?
Graph is in the picture.
Answers
Answer:
add them to get the answer then times 2 to it
Step-by-step explanation:
2,037 + 366 = 2,403
Answer---2,403
PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.
Q.1. The potter at a pottery store makes two sizes of vases. The larger size takes six hours to make, and the smaller size takes 1.5 hours to make. The potter works 30 hours a week. She needs to make at least six total vases a week, including at least two of each size. Give one example of how many of each type of vase the potter can make.
Answers
Answer:
Step-by-step explanation:
Let x and y be the large (x) and small (y) vases the potter makes in one week.
We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase. The combination of large and small vases made in one week thus requires a total time of:
6x + 1.5y = total hours/week
We are told that the potter works 30 hours per week, so:
6x + 1.5y = 30 hours
We also learn that she needs to make at least 6 vases in a week, so:
x + y => 6
Plot the two equations:
6x + 1.5y = 30, and
x + y => 6
This will produce the attached grap, Vases1. The inequality appears as the shaded area in the upper area. Any point in the shaded area satisfies the inequality of x + y => 6. The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).
The lines intersect at (4.67,1.33). This represents a fictional combination of 4.67 large and 1.33 small vases. This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours. If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0). (x,y or large,small). All combinations result in 6 vases, but eould require less than the 30 hours of time available. Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4). This area is shown in Vases2. The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.
Trina is making quilts for sewing class. She will use 21 yards of yellow fabric, 10.1 yards of green fabric, and 24.8 yards of blue fabric. This amount makes 26 quilts. How many yards are used for each quilt?
Answers
Answer:
6.7 per unit
Step-by-step explanation:
Can someone help me with this problem?
Answers
Explanation:
22 = 2*11
18 = 2*9
We see that 2 is the GCF of 22 and 18. It's the largest shared factor.
Now use the distributive property to say the following
22 + 18
2*11 + 2*9
2(11+9)
To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.
Identify the unit rate in the graph.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the unit rate (r) ~
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]
Take two points
(1,50)(2,100)Slope:-
m=y_2-y_1/x_2-x_1m=100-50/2-1m=50please help im stuck on this
Answers
Answer:
7m
Step-by-step explanation:
The length is 3.5 cm
Since teh scale is 1 cm = 2m
3.5 cm = 2(3.5) m
3.5 cm = 7 m
Therefore our answer is 7m
Answer:
7m
Step-by-step explanation:
i multiplied both sides by 2
because
1cm = 2m so 2 divided by 1 is 2
2.5 times 2 is 5m
3.5 times 2 is 7m
actual area is
5 times 7 which is =
35m^2
HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?
Answers
Answer:
C
Step-by-step explanation:
If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
Answers
Answer:
48 by 10 because
[tex]480\div 10 = 48[/tex]
therefore the wall dimensions are 48 by 10
What is the factored form of x^3-1? A. (x^3-1) (x^2 + x + 1) B. (x - 1) (x^2 - x + 1) C. (x - 1) (x^2 + x +1 ) D. (x^3 - 1) (x^2 + 2x + 1)
Answers
Answer:
C. (x - 1) (x^2 + x +1 )
Step-by-step explanation:
x^2 +x +1
x x^3 x^2 x
-1 -x^2 -x -1
If you multiply it out it equals the answer
Can someone help with this?
Answers
8(2y+y)
hope it helps!!!
Maggie sells homemade cookies. on a dozen cookies she spend 0.50 on flour, 0.70 on sugar, 0.40 on eggs,and 0.40 on packaging if she sells a dozen cookies for six dollars how much profitting does she make
Answers
Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.
What is a profit?
The profit is given by the subtraction of the revenue by the total costs.
In this problem:
For the dozen cookies, she earned a revenue of 6 dollars.In all, the total cost of the 12 cookies was of 0.5 + 0.7 + 0.4 + 0.4 = 2 dollars.6 - 2 = 4, hence she makes a profit of $4.
More can be learned about the profit concept at https://brainly.com/question/4001746
what is the circumference of a circle with radius 1 ?
Answers
Answer: 6.28
Step-by-step explanation: Using the formula 2×pie×radius
Circumference=2×3.14×1
=6.28
Answer:
Step-by-step explanation:
C = circumference
r = radius
d = diameter
C = 2[tex]\pi[/tex]r or C = [tex]\pi[/tex]d
I will be using the second formula since it is what I prefer but please note that when using the first the only thing being multiplied by two is the radius, not pi.
d = 2r
d = 2 * 1
d = 2
C = 2[tex]\pi[/tex]
In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.
Answers
The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units
How to find the area of a sector?The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2
where:
r is the radius
Ф is the subtended angle
Given the following
r = 6 units
Ф = 42degres
SubstituteArea of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units
Hence the area of the sector rounded to the nearest hundredth is 13.19 square units
Learn more on area of sector here: https://brainly.com/question/22972014
I need help answering this question
Answers
Answer:
x -2 y + 2
Step-by-step explanation:
David draws one card from a deck of cards. What is the probability that he selects a 7?
Answers
4/52 = 1/13
hope it helps...!!!
A crate of apples that usually costs
$40 is on sale for 20% off. What is
the sale price for the crate of
apples?
Answers
Answer:
$32
Step-by-step explanation:
Step-by-step explanation:
We are trying to find $40 on sale for 20$ off.
40*20/100
40*0.2
You save=$8
40-8
Final Price=$32
NEED HELP QUIK!!! 20PTS
For his phone service, Ryan pays a monthly fee of $10, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $92.74. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.
Answers
Answer:
$92.74 = 0.06m + $10
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
Step-by-step explanation:
m represents the number of minutes, which we have been told are charged at $0.06 per minute.
$10 is the constant because he is charged this every month.
Set up the equation with these numbers:
92.74 = 0.06m + 10
Now solve the equation
Subtract 10 from both sides to get m by itself:
92.74 - 10 = 0.06m + 10 - 10
82.74 = 0.06m
Divide each side by 0.06 to get m as a whole number
92.74/0.06 = 1545.67
0.06m/0.06 = m
Therefore
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
a , b , c , d ???????????????????
Answers
Answer:
First, add the two mixed numbers together.
[tex]1 + 2 = 3[/tex]
[tex]4/7 + 3/14 = 11/14[/tex]
Combine the equation and number.
[tex]3 + 11/14 = 3 \frac{11}{14}[/tex]
[tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7
Therefore, the answer is 1/2