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
Find the volume of the figure. A) 288 cm^3 B) 480 cm^3 C) 544 cm^3 D) 640 cm^3
Answers
Answer:
Step-by-step explanation:
7680 i think
Volume of figure1=(4x4)x 10
=160
Volume of figure2= (8x4) x 4
=128
Total volume= 160+ 128=288
What is the volume of this cone?
Answers
Answer:
[tex]V=209\ cm^3[/tex]
Step-by-step explanation:
The height of this cone, h = 8 cm
The radius of this cone, r = 5 cm
We need to find the volume of this cone. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Put all the values,
[tex]V=\dfrac{1}{3}\times 3.14\times 5^2 \times 8\\\\=209.33\approx 209\ cm^3[/tex]
So, the volume of this cone is equal to [tex]209\ cm^3[/tex].
A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate
Answers
Answer:
18.76%
Step-by-step explanation:
effective interest rate = ( 1 + periodic interest rate)^m - 1
m = number of compounding = 365
Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471
(1 + 0.000471) ^365 - 1 = 18.76%
What is the Slope in the equation y= -2x +5
Answers
Answer:
-2
Step-by-step explanation:
y=-2x+5
y=mx+b where m=slope and b=y-intercept
The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:
Answers
Answer:
Step-by-step explanation:
[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]
7+5x+18=50
5x+25 = 50
5x = 25
x = 5
Answer:
25+5x =105
25+5x=505x=50-25x=25/5x=5hope it helps.
plz tell answer for 33 pnts but dont scam
Answers
Answer:
(i)
Given
∠BED = ∠BACAlso we see that
∠ABC = ∠DBE as refer to same angleSince two angles of triangles are congruent, the triangles are similar by AA similarity postulate
ΔABC ~ ΔEBD(ii)
In similar figures corresponding parts have same ratio. Use ratios to find the value of x:
AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cm2a +8= 16
I’ll give brainey for right answer
Answers
Answer:
a=8
Step-by-step explanation:
2a+8=16
-8 on both sides
2a=8
/2 on both sides
a=4
what is the coefficient of 49n+986=-43
Answers
Answer: 49
Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.
Hope this helps ^^
Answer:
49
Step-by-step explanation:
A coefficient is the numerical or constant quantity placed before or multiplied by a variable.
HELP ASAP!!!! 10 points!!
Answers
Answer:
a, b, c are all perfect square trinomials
Step-by-step explanation:
a) (x+3)²
b) (w²-2)²
c) (xy-1)²
Use the GCF to factor: 24x + 12y
Answers
Answer:
36xy
Step-by-step explanation:
Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Answers
Answer:
Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Step-by-step explanation:
Right on edge 2022
The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
How to determine the conclusion?The given parameters are:
Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10By comparison, the p-value is less than the alpha value
i.e. 0.06 <0.10
When the p-value is less than the alpha value, the null hypothesis is rejected.
Hence, the conclusion is (a)
Read more about hypothesis tests at:
https://brainly.com/question/15980493
f(n)=x2+1
g(n)=2x-5
Find f(n)-g(n)
Answers
x^2 - 2x + 6
Explanation:
(x^2 + 1) - (2x - 5)
x^2 + 1 - 2x + 5
x^2 - 2x + 6
Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the time's Dan and David take as a ratio.
Give your answer in its simplest form.
Answers
Answer:
7 : 12
Step-by-step explanation:
35 : 60 cuz 60 mins is an hour
7 : 12
A bag contains 4 blue marbles, 3 white marbles, and 2 pink marbles. What is the probability of NOT drawing a white marble?
Answers
Answer:
2/3
Step-by-step explanation:
Total marbles:
4 + 3 + 2 = 9
Non-white marbles:
4 + 2 = 6
Probability of not drawing a white marble:
6/9
2/3
Answer:
6/9
Step-by-step explanation:
n=numerator
d=denominator
b=blue
p=pink
w=white
m=marbles
What we know:
4 bm
2pm
3 wm
what we need to know:
we need to know the denominator (all the numbers added up) and the numerator (the marbles that aren't white marbles).
work:
n= 4+2=6
d= 4+3+2=9
so it is 6/9
Can I please have Brainliest?
There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?
Answers
Answer:
The probability that I pick a magic elf is 6.66%.
Step-by-step explanation:
Since there are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from, if I randomly choose my character and tool, to determine what is the probability that I'll be a magic elf, the following calculation must be performed:
1/3 x 1/5 = X
0.3333 x 0.2 = X
0.0666 = X
0.0666 = 6.66%
Therefore, the probability that I pick a magic elf is 6.66%.
13. A sales lady is paid commission at the rate of 3% on all goods she sells. During
one month, she sold 12 television at sh. 15,500 each, 8 D.V.D player at sh. 5,650
and 4 refrigerators at sh. 21,700 each. Calculate the total commission she earned
in that month.
Answers
Answer: Sh. 9540
Step-by-step explanation:
First, we have to calculate the cost of the total things sold. This'll be:
12 television at sh. 15,500 each = sh. 186000
8 D.V.D player at sh. 5,650 = sh. 45200
4 refrigerators at sh. 21,700 each = sh. 86800
Total cost = sh. 186000 + sh. 45200 + sh. 86800 = sh. 318000
Since the sales lady is paid commission at the rate of 3% on all goods she sells, the total commission that she earned
in that month will be:
= 3% × sh. 318000
= 0.03 × sh. 318000
= Sh. 9540
please solve Y Im in desperate need of help..
Answers
Answer:
Y = 10
Explanation:
We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.
If I'm right, I'd appreciate a brainliest as it'd really help me out :D
Please answer question!
Answers
Answer:
23ft
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest!
Answers
Answer:
V = 336 ft3
Step-by-step explanation:
1/2*7*16*6
336
Answer: 336 ft cubed
Step-by-step explanation:
Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336
The answers to any of these would be really helpful
Answers
Answer:
Step-by-step explanation:
Q9) Surface Area of a cylinder
= 2πr(r + h)
Diameter = 12cm , Radius = Diameter/2 = 12 cm/2
r = radius = 6cm
h = height = 10 cm
Surface area = 2 × π × 6(6 + 10)
= 603.18579 cm²
Approximately = 603.2 cm²
Q11) Volume of a rectangular prism
Length × Width × Height
Length = 6.5cm
Width = 8.5 cm
Height = 4 cm
Volume = 6.5 cm × 8.5 cm × 4 cm
Volume = 221 cm³
Q12) Volume of the cylinder = πr²h
r = radius = 1.7m
h = height = 9 m
Volume = π × 1.7 × 9
= 81.71 m³
Approximately = 81.7 m³
Q13) Volume of the cylinder = πr²h
Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2
r = radius = 0.4m
h = height = 1.5 m
Volume = π × 0.4 × 1.5
= 0.75 m²
Approximately = 0.8 m³
free brainlest To first person pls
4 x (9 - 2)
Answers
Answer:
=28x
Step-by-step explanation:
Solve within parenthesis first;
Subtract 9-2=7
=4*7x
Multiply the numbers;
4*7=28
=28x
Solve for x if: y = -6 and -10x + 7y = 18
A) 8
B)-18
C)-6
D)9
Answers
Answer:
Step-by-step explanation:
-10x+7(-6)=18
-10x-42=18
+42 +42
___________
-10x/-10=60/-10
x= -6
Look at this graph :
Is this relation a function?
Answers
Step-by-step explanation:
Yes it is a function dearest
ercise 5d
lve the following
lutions.
13 - 6a = 1
Answers
Answer:
the answer is 17a
Step-by-step explanation:
I took the quiz
Each figure below is a regular polygon and has a radii and apothem shown. Find the measure of each numbered angle
Answers
Ahmed and his family has dinner at a restaurant and the cost of their meal is BD 28.
Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
ents
Select the correct response:
се'
BD 24.600
ts
BD 33.600
BD 40.500
BD 40
Answers
Answer:
Total bill will be BD 33.600
Step-by-step explanation:
28 multiplied by 20% = 5.6
Add 5.60 to the cost
28.00 + 5.60 = 33.600
hope this helps and is right. p.s. i really need brainliest :)
marking brainliest! please help
Answers
Answer:
H.
Step-by-step explanation:
F is incorrect because you don't know how many service calls a person will make. G is incorrect for the same reason, but with texts. J is incorrect because 8 skirts per hour is making the graph unproportioned.
Answer:
H
Step-by-step explanation:
A bakery makes 6 loaves of bread every 1/2 hour or 12 loaves every hour.
Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!
Answers
Answer:
Easy way is completing a square:
x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149Correct choice is J
write the rate and unit rate. 609 kilometers in 7 hours ???
Answers
Answer:
The rate is 609 kilometers per 7 hours.
The unit rate is 609/7 = 87 kilometers per hour.
Step-by-step explanation:
Should be right
Answer:
87 Kilometers per hour and if by unit rate you mean how many miles they are doing a miniute then it is 1.45 kilometers per hour
Step-by-step explanation:
Please help ASAP (NO LINKS)
An import business owner paid $6000 for the goods sold in one month. Her additional expenses are $1600 per month. If she marks up her merchandise 70%, what was her profit for the month?
Answers
Answer:
the answer is $2,600 I belive so