Answers
Answer:
m∠CAB = 90°
BD = 9
m∠ABC = 90°
arc AEC = 180°
AD = 14.5
Step-by-step explanation:
Question 1
The angle between the radius and a tangent to the circle is always 90°.
Therefore, as AC is the radius and AB is a tangent segment, m∠CAB=90°
As m∠CAB = 90°, we can use Pythagoras' Theorem to find BC (hypotenuse):
AC² + AB² = BC²
⇒ 8² + 15² = BC²
⇒ BC² = 289
⇒ BC = 17
As CD is the radius, CD = 8
Therefore, BD = BC - CD = 17 - 8 = 9
Question 2
If D is the center, then AC is the diameter. Angles at the circumference in a semicircle are always 90°. Therefore, m∠ABC = 90°
As AC is the diameter, arc AEC is half of the circle.
Therefore, arc AEC = 360° ÷ 2 = 180°
As m∠ABC = 90°, we can use Pythagoras' Theorem to find AC (hypotenuse):
BC² + AB² = AC²
⇒ 20² + 21² = AC²
⇒ AC² = 841
⇒ AC = 29
AD is the radius. A radius is half the diameter.
Therefore, AD = AC ÷ 2 = 29 ÷ 2 = 14.5
Related Questions
Assignment
1. The mark up price of a pair of shoes which costs $125.00 is 8.35%. a)What is the final price? If the tax is 6 1/2% How much will be paid for that pair of shoes?
2. A TV set costs $175. How much will the store get if the commission of the sales person is 12 1/2% ?
3. The bag that costs $86.50 was discounted $15.50. How much was paid for the bag? What was the discount rate?
4. The dress that Rhea bought costs $75.00. It was taxed $12.75. How much did she pay? How much was the tax rate?
Answers
Answer:
Look at photo
Step-by-step explanation:
Look at photo
Original scale: 1 inch = 8 feet. A parallelogram with a side length of 24 feet. A larger parallelogram with a side length of 72 feet.
Noah planned a parallelogram-shaped sidewalk to lead from the street to the front door of his house. He realized the walkway was too short and he needs to change the length to 72 feet. He wrote a ratio to find the change in the scale factor.
24 ft
72 ft
=
The change in the scale factor is
.
The change of scale means that 1 inch represented
feet, but now 1 inch represents
feet.
Thank you everypony <3
Answers
Answer:
5
Step-by-step explanation:
5
PLS HELP!! DUE TONIGHT!! 15 POINTS!!
Answers
Answer:
The answer is C
Answer:
the answer for this is c
a school board member surveys parents to learn how they feel about the new school boundaries. Mrs. Donovan shares an example of a random sample and Mr.Giles shares an example of a sampling method that is not random. What could they have shared?
Answers
Answer:
Mrs.Donovan could have taken opinions from the first 50 parents to answer.
Mr.Giles could have taken 10 Parents from each grade in the school and used that as his example.
Step-by-step explanation:
Brainliest please?
HELPPPPPPPP rotate figure jklm 180 degrees around the origin brainly
Answers
Answer:
see attached
Step-by-step explanation:
Turn the given picture upside down and you will see where the rotated figure ends up. Each point is reflected across the origin to a point that is the same distance from the origin.
__
Rotation 180° is the same as any of ...
reflection across the orginreflection across the y-axis, then across the x-axisreflection across the x-axis, then across the y-axisnegating both coordinates (x, y) ⇒ (-x, -y)If you are NOT beinggreat78, DO NOT ANSWER THIS. Beinggreat still answer this fast though bc ppl are mean
Answers
Answer:
[tex]Here~I~am![/tex]
That is true, those ways listed are the three ways to write a ratio.
giving brainliest!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3. Look at picture below ( Will be the red dot )
4. (7, 15)
5. (7, 6)
6. (9, 7)
This... is a complex problem. But here. I even plotted the point "Carter" for you.
4) In relation to the origin, the new point coordinates are (7,15).
5) He would have started at the coordinates (6,7).
6) He would have started at the coordinates (9,5)
I hope this helps you.
-Toremi
Whoever gets it right can have brainliest, but answer ASAP!
Answers
Since there are parenthesis, you have to do the calculation inside of that
(Also, the negative sign takes over in this part of the question)
-4 - 3 = -7
Now, you have to times the answer you just got to 2^2 which is 4
-7 * 4 = -28
As the final step, you have to add -28 to -1
-28 - 1 = -29
Thus, the answer is -29 Choice D
Answer:
[tex]beinggreat78~here~to~help![/tex]
When doing problems like this, remember the PE part of PEMDAS.
Parentheses
Exponents
You have to do parentheses first. Then exponents.
[tex](-4 + -3) = -7[/tex]
Next, find the value of 2 squared, then multiply the previous sum by 2 squared, also the term for the number times itself.
[tex]2^2[/tex] [tex]= 4[/tex]
[tex]-7 * 4 = -28[/tex]
Now, subtract by -1
[tex]-28 - 1 = -29[/tex]
With that information, the problem is now solved! Your final answer is -29
PLEASE HELP
1# Which graph shows the number of 3-point field goals Aspen could have made in the game
2# Riley read 36 pages of a book before putting it down for a month she wants to resume reading the book that is more than 480 pages long she plans on finishing the book in 12 days reading the same amount each day which inequality can be used to determine P, the number of pages that Riley must read each day to attain her goal
The first Screenshot is for 1# and the second Screenshot is for 2#
Answers
Answer:12p+36>480
Step-by-step explanation: I got the answer somewhere else but I’m not 100% sure if it’s right
Never really understood this stuff. can somebody help me out? Please and thank you. (two different questions)
Answers
What is the distance from (3,5) to (9,13).
A. 9.4 units
B. 13 units
C. 12.6 units
D. 11.9 units
Answers
Answer:
It would be B.13.
Step-by-step explanation:
Please give me brainliest if I'm right
Answer both and explain how you got it then u get 30 points
chart shows how many solid,stripe and polka dot balloons there are
Answers
Answer:
First on 3/4
Step-by-step explanation:
second one 0.0
I don't understand, pls help meeeeeee
Answers
Answer:
Solve for x first.
In order to solve for x, you must set up an equation where the two interior angles (1 and 2) are equal to the exterior angle (3).
Interior angles.
Angle 1 = 3x + 7Angle 2 = 2x + 24Exterior angle:
Angle 3 = 6x + 10Set up the equation:-
(3x + 7) + (2x + 24) = 6x + 10
Group and combine like terms;
(3x + 2x) + (7 + 24) = 6x + 10
5x + 31 = 6x + 10
Get rid of constants;
-10 -10
5x + 21 = 6x
-5x -5x
21 = x, the value of 'x' is 21°.
Now we plug in the value of x into angle 3's equation.
∠3 = 6x + 10
∠3 = 6(21) + 10
∠3 = 126 + 10
∠3 = 136°, ∠3 = 136°.
hi its nice to meet you
Answers
Answer:
19.5
Step-by-step explanation:
165 divided by 8 is 19.5
Draw the solution set for each of the following inequalities.
Answers
Reggie's account is -$215 dollars. How much money does Reggie owe?
Answers
easy points please help
Answers
Answer:
x = 30'
2x = 60'
3x = 90'
Step-by-step explanation:
2x + 3x + x = 180
6x = 180
6x ÷6 = 180 ÷ 6
x = 30'
therefore
2x = 60"
3x = 90'
hope this will helpful....
Shari wants to learn more about tiger sharks. Which of the following is a statistical question Shari can ask?
Answers
Answer:
A
Step-by-step explanation:
That's the only question that is answered by statitistics
What is the area of the figure
Answers
Answer:
5 1/3
Step-by-step explanation:
If you split up this shape into a triangle on top and a rectangle on the bottom you can do
(3 2/3 x 2) / 2
Then you do
5 x 1/3
Then add up the sums and you get the area :)
The solution to -3x + 5x - 7 = -11 is _____.
-1/2
-9
-2 1/4
-2
Answers
I hope that I helped ;D
help asap pls
pls !!!!!!!!!!!!
Answers
295-250. 45
————— = ———— = 18%
250. 250
WILL CHOOSE BRAINLIEST!!! The midpoint of line segment AB is (-6,0). If endpoint A=(-3,1), find endpoint B
Answers
in order to find the next point, you would do this again.
this means point B will be (-9, -1)
Kira has to carry 170 apples from a farm to the market. How many baskets will she need, given that each basket can hold 46 apples?
Answers
Answer:
4 baskets
Step-by-step explanation:
Since 170 divided by 46 equals 3 with a remainder of 32, you use the remainder,32, and change it to one more basket so 3+1=4 so Kira needs 4 baskets.
Answer:
Kira will require exactly four baskets.
Step-by-step explanation:
The given information we know is..
- Kira is responsible for transporting 170 apples from a farm to the market.
- Each basket has a capacity of 46 apples.
We must divide 170 apples by 46 apples in order to solve this problem.
170/46 ( When I use the / symbol, it indicates to divide.)
170/46 = 3.69565217391
We'll have to round it up because we can't actually accept 3.69 bags. So the answer is 4 baskets.
Kira will need approximately 4 baskets.
Hope this helps! :D
Whoever gets it right can have brainliest but answer ASAP!
Answers
Answer:
3 1/3
Step-by-step explanation:
Multiply
2 1/2 * 1 1/3 = 20/6
Simplify
20/6 = 10/3 = 3 1/3
Answer:
20/6=10/3= 3 1/3
Step-by-step explanation:
3 1/3 =10/3 just simplifed
Perform the following calculations. Express your answers in scientific notation.
Answers
Answer:
it is E hope you find this helpful
Answer:
A) 8 x 10^5
B) 8.2 x 10^7
C) 4.5 x 10^11
D) 9 x 10^6
E) 2.7 x 10^13
Explaination: The 10^ this means 10 to the power of any number that is meant to be there. Like 10^3 means 10 to the power of 3. just wanted you to know so you dont get confused
please help for brainliest
Answers
11. 6×pi= 18.8
12. 9×2×pi= 56.5
13. 13×pi= 40.8
14. 2.5×2×pi=15.7
so:
11a
12d
13b
14c
Pls help! Show all work. Will reward the brainiest for da best answer.
The tires on a compact car are 18 inches in diameter.
a. How far does the car travel after the tires turn once? Use 3.14 as pi
b. How far does the car travel after 12 rotations of the tires? Use 3.14 as pi.
Answers
Answer:
1. 56.52 inches
2. 141,300 inches
Step-by-step explanation:
One turn of the tire is the circumference. Therefore, we have to find the circumference first. C = πd = 18π = 18 × 3.14 = 56.52 in
2500 rotations would be 2500 ⋅ 56.52 in = 141,300 in
I hope this helps and please mark me as brainliest!
Please help will give brainiest!!! The pathway of a quarter being thrown off a bridge can be modeled by the equation h=-16t^2+72t+120. At what time does the quarter reach a height of 50 feet?
Answers
Answer:
3.1 secs
Step-by-step explanat y+ -16x2+48X+5
Someone pls help, I will choose brainliest. Solve for C.
Solve for C. 5²+5²=C²
Answers
Step-by-step explanation:
First step: square both 5s.
(1).........5^2 = 5 × 5 = 25
(2)........5^2 = 5 × 5 = 25
2nd step: add them.
C^2 = 25 + 25
3rd: put both sides under square root to find c by cancelling the square root sign [√] with square [ ( )^2 ].
√(C^2) = √(50)
C = 7.07
Answer:
C = 7.07
Step-by-step explanation:
If the other person doesn't mind, then can I have brainliest?
Yvette spins the following spinner 35 times. How many times should she expect it to land on 4?
