Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.
Answers
Answer:
[tex] m\angle BCA= 33\degree[/tex]
Step-by-step explanation:
[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
[tex] \therefore AB\perp BC[/tex]
[tex] \therefore \angle ABC = 90\degree [/tex]
[tex] In\: \triangle ABC, [/tex]
[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]
[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]
[tex] 147\degree +m\angle BCA= 180\degree [/tex]
[tex] m\angle BCA= 180\degree - 147\degree[/tex]
[tex] m\angle BCA= 33\degree[/tex]
Related Questions
Sam kicks a ball from the ground with a starting velocity of 32 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using h(t)=-16t^2+vt+s. PLS HELP!!!!!!
Answers
Answer:
The function that describes the height of the ball in time is [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].
Step-by-step explanation:
Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.
Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:
[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]s[/tex] - Initial height with respect to the ground, in feet.
[tex]v[/tex] - Initial velocity, in feet per second.
[tex]t[/tex] - Time, in seconds.
[tex]g[/tex] - Gravitational acceleration, in feet per square second.
If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:
[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)
What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.
A) 8.1 m^2
B) 4.0 m^2
C) 46.0 m^2
D) 11.7 m^2
Answers
Answer:
[tex]A=11.7\ m^2[/tex]
Step-by-step explanation:
Given that,
Central angle, [tex]\theta=160^{\circ}[/tex]
Diameter,d = 5.8 m
Radius, r = 2.9 m
We need to find the area of sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2[/tex]
So, the area of a sector is equal to [tex]11.7\ m^2[/tex].
URGENT PLEASE HELPPPP!!! THANK YOU
Answers
Answer:
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values.
20 POINTS!!!!!! SOLVE FOR X
Answers
Answer:
All you have to do is equal the equations to each other to find x for each problem!
Step-by-step explanation:
Hope this helps bestieee!
HELP PLEASEEEE! whats the answer
Answers
Answer:
sum: 45
count: 15
mean: 3
Step-by-step explanation:
sum the number of times students ate fast food
count the amount of students that took the survey
the average amount of times students went out to eat
Answer:45
Step-by-step explanation: just add 1+1,2+2,3+3+3+3,+4,+5,+6+6+6
Help! I will give me the brainiest!
Answers
Answer:
48 Ounces of red
Step-by-step explanation:
4+3=7
112/7= 16
you will need to add 3 ounces of red and 4 ounces of blue 16 times
16 x 3 (ounces of red)= 48
Find the area. Simplify your answer.
Answers
Answer:
10x + 9
Step-by-step explanation:
I need help : (((((((
Answers
the answer is x=-1/3
can someone pls help me
Answers
Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?
Answers
Answer:
728 km / lit
Step-by-step explanation:
kilometers per liter = kilometers / liters
k/l = 484848 / 666
kilometers per liter = 728
Answer: The answer is 8 kilometers
Step-by-step explanation:
khanacademy
120 students of a hostel food enough for 60 days. if 30 more students joined after 15 days. how long will the remaining food last.
Answers
Answer:
24 days
Step-by-step explanation:
120 students =30 days
120+30 =150 students
MORE/LESS METHOD
120 students (a) : 30 days(y)
150 students (b) : x
Find the value of x using the formula: a/b × y
If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.
I predict that x will be less than y
THEREFORE... 120/150 ×30
= 24 days
Step-by-step explanation:
ans is simple so plz tell me that it is right or wrong and also it is helpful to u or not
Walter scored a 1,285 on a national test in January. He
decided to take the test in March again and scored 1,230.
What is the percent decrease in Walter's test scores?
ROUND TO THE NEAREST HUNDREDTH.
Answers
Answer:
4.28%
Step-by-step explanation:
1285 - 1230=55
(55/1285) ×100%=4.28%
300$ at 6% for 2 yrs what is the simple interest
Answers
Answer:
Simple interest after 2 year = $36
Step-by-step explanation:
Given:
Amount invested = $300
Number of year amount invested = 2 year
Rate of interest per year = 6% = 6/100 = 0.06
Find:
Simple interest after 2 year
Computation:
Simple interest formula;
Simple interest = [Amount invested][Rate of interest][Number of year]
Simple interest after 2 year = [300][0.06][2]
Simple interest after 2 year = [18][2]
Simple interest after 2 year = $36
The midpoint of AB is M(-6, 1). If the coordinates of A are (-7, -3) what are the coordinates of B?
Answers
Answer:
Step-by-step explanation:
Apples cost $1.99 per pound. How much do 314 pounds of apples cost? $ How much do x pounds of apples cost? $ Clare spent $5.17 on apples. How many pounds of apples did Clare buy? pounds
Answers
Answer:
1. $624.86
2. 1.99x
3. 2.6 pounds
Step-by-step explanation:
1. Multiply 1.99 by 314 to get 624.86
2. With the equation 1.99x, you can substitute any variable into it and it will hold true.
3. Divide 5.17 by 1.99, the price, and you get 2.597 pounds, which rounds to 2.6
use distributive property to rewrite 5(9+x)
Answers
Answer:
45+5x
Step-by-step explanation:
please help ASAP will give brainleast to correct answer plus thank you!
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 0.8(9+w)
Step-by-step explanation:
By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.
Write 1/b9 in standard exponential form
Answers
Answer:
Step-by-step explanation:
exponent on 1 is 9
What is the area of rhombus ABCD? 98.28 cm 2 78.00 cm 2 24.57 cm 2 39.00 cm
Hurry
Answers
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
just some easy 5th grade math please help and don’t give me any link.
Answers
Answer:
6 x 3 x 1 = 18
4 x 8 x 3 = 96
18 + 96 = 114 ft cube
A motorist takes 80 minutes to travel 120km. find his speed
Answers
Answer: 90km/hour
Step-by-step explanation:
The formula for speed is given as:
= Distance / Time
where,
Distance = 120km
Time = 80 minutes = 80/60 = 1 1/3 hours
Speed = Distance / Time
= 120 / 1 1/3
= 120 / 4/3
= 120 × 3/4
= 90km/hour
The speed is 90km/hour.
b) Here are the first four terms of another sequence.
6 11 16 21
Write an expression for the nth term of this sequence.
Answers
Answer:
aₙ = 5n + 1Step-by-step explanation:
11 - 6 = 5 , 16 - 11 = 5 , 21 - 16 = 5
So, it's atithmetic formula with common difference os 5
[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]
AREA OF A TRAPEZOID PLEASE HELP
Answers
18 + 8 = 26
26 divide by 2 = 13
13 x 6 = 78
area is 78
When should you use the 3 different quadratic forms (vertex, standard and factoring) When would it be convenient to use each form
Answers
Answer:
The answer is attached. Somehow the platform does not allow me to enter the same answer here.
Which statement is false? A. (−2)×5<(−20) B. (−2)×(−5)>(−25) C. 2×5>(−25) D. 2×(−5)<20
Answers
Answer:
(−2)×5<(−20)
Step-by-step explanation:
Evaluating the options given :
(−2)×5<(−20)
Open the bracket
- 10 < - 20 (false) ` This expression isn't true
(−2)×(−5)>(−25)
Open the bracket
10 > - 25 (true)
2×5>(−25)
Open the bracket
10 > - 25 (true)
2×(−5)<20
Open the bracket
- 10 < 20
If 50% of a number is 100 and 20% of the same number is 40, find 70% of that number.
Answers
Steps:
The number is 200 as 50% of this would be 100 so in order to work out 70% you will do:
10%=20
20 x 7=(70%)140
“which of the equations below could be the equation of this parabola?”
Answers
Answer: C) y=1/2x^2
Step-by-step explanation:
By using a graphing calculator, we can conclude that the equation y = 1/2x^2 could be the equation of the parabola shown on the graph. (I used Desmos, please see the screenshot below if you have any doubts! :) )
Answer:
c
Step-by-step explanation:
Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2
Answers
Answer:
A 21/4
Step-by-step explanation:
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
ASAP please :))) will greatly appreciate
Answers
PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH
What 2-dimensional shapes do you see when you look at the Hexagonal Prism? Choose ALL that you see.
Squares
Rectangles
Triangles
Hexagons
Pentagons
Trapezoids
Answers
Answer:
All of the above EXCEPT pentagonsStep-by-step explanation:
Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)
Good day!