For each diagram below, work out whether AB is a tangent to the circle, is not a
tangent to the circle, or if it is not possible to tell.
Justify your answers.
13 cm
5 cm
12 cm
10 cm
4 cm
11 cm
18 cm
18 cm
25 cm
Not drawn accurately
Answers
The tangent AB is for circle in figure (a).The correct option is (a).
What is the relation between the tangent and a circle?For a given circle there can only be one tangent at one point.
The tangent and the circle has only one point in common.
The tangent to a circle is always perpendicular to the radius at that point.
The tangent drawn to a circle is always at right angle to the radius at that point.
The given figures are examined one by one as follows,
(a) The sides of the triangle are given as 5, 12 and 13.
And, 13² = 5² + 12²
Which implies it is a right triangle by Pythagoras theorem.
(b) The sides of the triangle are given as 4, 10 and 11.
And, 11² ≠ 10² + 4²
Which implies it is not a right triangle by Pythagoras theorem.
(c) The sides of the triangle are given as 18, 25 and 18.
And, 25² ≠ 18² + 18²
Which implies it is not a right triangle by Pythagoras theorem.
Thus, only for figure (a) the criteria for the tangent satisfies.
Hence, the line segment AB is tangent to the circle given in figure (a).
To know more about circle click on,
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#SPJ1
Related Questions
during a recent period of time compact discs sales have been declining. The sales (billions of dollars) can be modeled by the function (f)t= -9/7t+17.9, where T is the number of years since 2005. Suppose sales decreased at twice the rate. How can you transform F to model the sales?
a. vertically shrink by a factor of 1/2
b. vertically stretch by a factor of 2
c. horizontally shrink by a factor of 1/2
d. horizontally stretch by a factor of 2
Answers
find the probability that a point chosen at random on the segment satisfies the inequality
11 & 13 please!
Answers
Answer:n h hbuy n gb78
Need the answer for x and y
Answers
Answer:
x = 5°
y = 4°
Step-by-step explanation:
21x + 75 = 180
21x = 105
x = 5°
25y + 5 + 75 = 180
25y = 100
y = 4
Please help me I'm really struggling.
Answers
Answer:
eight chairs.
Step-by-step explanation:
five quarts= 40/8 quarts
one chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
eight chairs
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.) A ∪ (B ∩ C) = (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) = Which of these sets are equal? A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) A ∪ (B ∩ C) = (A ∪ B) ∩ C (b) Find A ∩ (B ∪ C), (A ∩ B) ∪ C, and (A ∩ B) ∪ (A ∩ C). (Enter your answer in set-roster notation.) A ∩ (B ∪ C) = (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) = Which of these sets are equal? A ∩ (B ∪ C) = (A ∩ B) ∪ C (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) (c) Find (A − B) − C and A − (B − C). (Enter your answer in set-roster notation.) (A − B) − C = A − (B − C) = Are these sets equal? Yes No
Answers
Answer:
(a)
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]
(b)
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]
(c)
[tex](A - B) - C = \{a\}[/tex]
[tex]A - (B - C) = \{a,b,c\}[/tex]
They are not equal
Step-by-step explanation:
Given
[tex]A= \{a,b,c\}[/tex]
[tex]B =\{b,c,d\}[/tex]
[tex]C = \{b,c,e\}[/tex]
Solving (a):
[tex]A\ u\ (B\ n\ C)[/tex]
[tex](A\ u\ B)\ n\ C[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
[tex]A\ u\ (B\ n\ C)[/tex]
B n C means common elements between B and C;
So:
[tex]B\ n\ C = \{b,c,d\}\ n\ \{b,c,e\}[/tex]
[tex]B\ n\ C = \{b,c\}[/tex]
So:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}\ u\ \{b,c\}[/tex]
u means union (without repetition)
So:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
Using the illustrations of u and n, we have:
[tex](A\ u\ B)\ n\ C[/tex]
[tex](A\ u\ B)\ n\ C = (\{a,b,c\}\ u\ \{b,c,d\})\ n\ C[/tex]
Solve the bracket
[tex](A\ u\ B)\ n\ C = (\{a,b,c,d\})\ n\ C[/tex]
Substitute the value of set C
[tex](A\ u\ B)\ n\ C = \{a,b,c,d\}\ n\ \{b,c,e\}[/tex]
Apply intersection rule
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
In above:
[tex]A\ u\ B = \{a,b,c,d\}[/tex]
Solving A u C, we have:
[tex]A\ u\ C = \{a,b,c\}\ u\ \{b,c,e\}[/tex]
Apply union rule
[tex]A\ u\ C = \{b,c\}[/tex]
So:
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{a,b,c,d\}\ n\ \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
The equal sets
We have:
[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]
[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]
[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]
So, the equal sets are:
[tex](A\ u\ B)\ n\ C[/tex] and [tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]
They both equal to [tex]\{b,c\}[/tex]
So:
[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]
Solving (b):
[tex]A\ n\ (B\ u\ C)[/tex]
[tex](A\ n\ B)\ u\ C[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]
So, we have:
[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d\}\ u\ \{b,c,e\})[/tex]
Solve the bracket
[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d,e\})[/tex]
Apply intersection rule
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ \{b,c,e\}[/tex]
Solve the bracket
[tex](A\ n\ B)\ u\ C = \{b,c\}\ u\ \{b,c,e\}[/tex]
Apply union rule
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ (\{a,b,c\}\ n\ \{b,c,e\})[/tex]
Solve each bracket
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}\ u\ \{b,c\}[/tex]
Apply union rule
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
The equal set
We have:
[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]
[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]
[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]
So, the equal sets are:
[tex]A\ n\ (B\ u\ C)[/tex] and [tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]
They both equal to [tex]\{b,c\}[/tex]
So:
[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]
Solving (c):
[tex](A - B) - C[/tex]
[tex]A - (B - C)[/tex]
This illustrates difference.
[tex]A - B[/tex] returns the elements in A and not B
Using that illustration, we have:
[tex](A - B) - C = (\{a,b,c\} - \{b,c,d\}) - \{b,c,e\}[/tex]
Solve the bracket
[tex](A - B) - C = \{a\} - \{b,c,e\}[/tex]
[tex](A - B) - C = \{a\}[/tex]
Similarly:
[tex]A - (B - C) = \{a,b,c\} - (\{b,c,d\} - \{b,c,e\})[/tex]
[tex]A - (B - C) = \{a,b,c\} - \{d\}[/tex]
[tex]A - (B - C) = \{a,b,c\}[/tex]
They are not equal
I WILL MARK BRAINLIEST The account balance of each of three children at the end of a month is shown below: Kyle has -52.25 Jason has -52.00 Sue has as much savings in her account as the amount Kyle owes the bank. Part A: On a blank paper, draw a number line from -4 to +4. Plot points on the number line to show the account balances of the three children Label the points using the name of each of each child . describe in detail how you created and labeled this number line,and what it looks like in detail Part B: Determine whether Kyle or Jason owes the bank more Use absolute values and inequalities to write statements that justify your conclusion (5 points)
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Given:
Kyle's balance is -$2.25
Jason's balance is -$2.00
Sue's balance is: $2.25
Required:
A: plot and label the points on a number line from -4 to +4
describe how you did it
B: determine who owes more
Solution:
Part A: For the attached plot, we used the Desmos graphing calculator utility, giving it the points (-2.25, 0), (-2.00, 0), and (2.25, 0) to plot on x-y coordinates. The y-axis and minor grid lines are suppressed in order to better approximate a number line. The "label" facility is utilized to attach labels to the points.
Part B: Balances are owed to the bank when the balance is negative. The more negative it is, the more is owed. Kyle's point is farthest to the left on the number line (and is left of 0), so Kyle owes more. The ordering is ...
-2.25 < -2.00 < 0
where |-2.25| > |-2.00|. The number -2.25 is Kyle's balance, so he owes more.
Hello! The girl above me is correct :)
Ian needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 593 spoons. There are currently 161 spoons. If each set on
sale contains 6 spoons, write and solve an inequality which can be used to determine
X, the number of sets of spoons Ian could buy for the restaurant to have enough
spoons
Answers
Answer:
72 sets
Step-by-step explanation:
(Easy way)
593 -161=432 spoons needed
432/6 =72 sets
(Harder way)
6= 1
432 =x
432 = 6x
x=72
Answer:
Inequality: 6x + 161 ≥ 593
Answer: x ≥ 72
Step-by-step explanation:
Have a good day :)
A biologist observed a curved relationship between the average heart rates and life expectancies of several
mammal species in a large sample. The biologist took the natural logarithm for the values of both variables,
and they noticed a linear relationship in the transformed data.
Here's the least-squares regression equation for the transformed data, where life expectancy (LE) is in
years and heart rate (HR) is in beats per minute.
In(LE
6.33 – 0.78 In(HR)
According to this model, what is the predicted life expectancy of a mammal species whose average heart
rate is 200 beats per minute?
You may round your answer to the nearest whole year.
years
Show Calculator
Answers
Applying the logarithmic function, it is found that the life expectancy of the mammal specie is of 9 years.
The life expectancy(LE) of a specie with heart rate HR is given by the following logarithmic function below:
[tex]\ln{LE} = 6.33 - 0.78\ln{HR}[/tex]
In this problem, heart rate of 200 beats per minute, thus [tex]HR = 200[/tex].
The life expectancy is:
[tex]\ln{LE} = 6.33 - 0.78\ln{HR}[/tex]
[tex]\ln{LE} = 6.33 - 0.78\ln{200}[/tex]
[tex]\ln{LE} = 2.19731245409[/tex]
[tex]e^{\ln{LE}} = e^{2.19731245409}[/tex]
[tex]LE = 9[/tex]
Life expectancy of 9 years.
A similar problem is given at https://brainly.com/question/24286043
Find the value of x. Round to the
nearest tenth.
х
12
4
X =
= [ ? ]
Answers
Use cosine trigonometric relation.
[tex] Cos~x=\frac{Adjacent} {Hypotenuse} \\\\ \to cos~x=\frac{4}{12} \\\\ \to cos~x= \frac{1}{3} \\\\ x=arccos(\frac{1}{3})\\\\ x \approx 70°[/tex]
Answer:
70.5
Step-by-step explanation:
We use cosine (adjacent over the hypotenuse) to calculate this:-)
Can someone help me with these 2 problems pls
Answers
Answer:
53.58°
Step-by-step explanation:
SOHCAHTOA
COS (A)= ADJACENT/ HYPOTENUSE
A= acos(19/32(
A= 53.57642°
Answer:
7) horizontal distance = 105.95 m
Step-by-step explanation:
I can't draw. I don't have much use of my hands. but I'll answer #7 for you.
cos 28° = x/120
0.8829 = x/120
x = 105.95 m
Evaluate the logarithm at the given value of x without using a calculator.
Value
Function
g(x) = log)(x)
х = Vь
Answers
9514 1404 393
Answer:
g(x) = 1/2
Step-by-step explanation:
You want to evaluate ...
[tex]g(x)=\log_b(x)=\log_b(\sqrt{b})\\\\g(x)=\log_b(b^\frac{1}{2})=\dfrac{1}{2}\log_b(b)=\dfrac{1}{2}\cdot 1\\\\\boxed{g(x)=\dfrac{1}{2}}[/tex]
please help me ASAP!!!
Answers
Answer: 8
Because 8 - 11 = -3
Hope it helps.
Answer:
add a positive 8
Step-by-step explanation:
if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8
how much greater is 620,000 than 62?
Answers
Answer:
10,000
Step-by-step explanation:
620,000/62 = 10,000
Please explain how you find the slope of a graph? Please explain with photos.
Answers
☁️ Answer ☁️
Here's what I found:
Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. This gives us (10 - 8)/(-2 - 3).
Subtract the values in parentheses to get 2/(-5).
Simplify the fraction to get the slope of -2/5.
Check your result using the slope calculator.
To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.
Here's the link:
https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.
Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho
(Just remove the space)
Hope it helps.
Have a nice day noona/hyung.
Answer:
Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.
Step-by-step explanation:
Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.
The rise is going up, the run is going right.
So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.
For hard graphs locate 2 points that are exact.
Then you follow the equation for every slope which is
(y2-y1 / x2-x1)
So for example you have the points (1,2) and (3,6)
y1= The first y coordinate given (the first part of the pair)
y2= The second y-coordinate given (the second part of the second pair)
x1= The first x coordinates given
x2= the second x coordinate given
so if we use the previous example stated above (1,2) and (3,6)
y1= 2
y2= 6
x1= 1
x2=3
Now use the formula (y2-y1 / x2-x1)
Subsitute
6-2 / 3-1
4/2
the slope would be 2.
This formula works for every 2 points given.
The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?
Answers
Answer:
Height of computer screen in inches = 8.48 inches (Approx.)
Step-by-step explanation:
Given:
Diagonal of screen of laptop computer = 19 inches
Width of screen of laptop = 17 inches
Find:
Height of computer screen in inches
Computation:
Screen diagonal, width and height makes a right angle triangle
So,
Using Pythagoras theorem;
Perpendicular = √Hypoteneus² - Base²
Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²
Height of computer screen in inches = √(19)² - (17)²
Height of computer screen in inches = √361 - 289
Height of computer screen in inches = 8.48 inches (Approx.)
pls help me and I will mark u as brainliest plsssss plsssss please answer momoo anyone
Answers
From the choices provided, select all the questions that represent statistical questions,
A What was the temperature at 5:00p.m. today in Boston?
B How many pieces of fruit were used to make Shawn's smoothie today?
How many states are there?
D What types of food do students in your school bring for lunch each day?
E How many books did each student check out at the library last year?
Answers
Answer:
all exept c i think
PLEASE HELP QUICK I NEED IT TO PASS TIMES ALMOST UP PLEASE HELP I WILL GIVE BRAINLIEST Write 5-8 sentences telling the story of this play. Use your Imagination, tell the story of the picture
Answers
Answer:
Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.
I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”
It’s probably a little bit more than 8 sentences and is not the greatest but is something
Find the volume of the cylinder to the nearest tenth
Answers
Answer:
1131 m^3
Step-by-step explanation:
Formula is π r^2h
then substitute the values r=6,h=10
1130.97
then round the number by nearest tenth.
which is 1131.
Find the value of x
Please help
Answers
Therefore
x+16=7
And then
x= 7-16
x=-9
Answer:
b
Step-by-step explanation:
subtract 9 from 16
I'm unsure how to solve for w, can someone please help?
Answers
Answer:
w = 1/2
Step-by-step explanation:
One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.
log b (a) = c
b^c = a
By plugging in the numbers we get this:
log 16 (4) = w
16^w = 4
w = 1/2
PLEASE HELP ASAP!!!! GOING TO GIVE 30 POINTS
Answers
Answer:
The second answer option
Step-by-step explanation:
Lmk if you need explanation
Solve the system of equations.
15x + 31y = -3
X = -y + 3
Answers
Answer:
its (6,-3)
Step-by-step explanation:
Look at steps below
Dr. Lopez gives students 90 minutes to complete the final exam for her course. Most students use almost all the
time allowed, and relatively few students finish early, so the distribution of times that it takes students to finish
the exam is strongly skewed to the left. The mean and standard deviation of the finishing times are 85 and 10
minutes, respectively.
Suppose we took random samples of 40 students and calculated as the sample mean finishing time. We can
assume that the students in each sample are independent.
What would be the shape of the sampling distribution of ??
Choose 1 answer:
Skewed to the left
Skewed to the right
No
Answers
Answer:
Approximatly normal
Step-by-step explanation:
Answer:
approximately normal
Step-by-step explanation:
check conditions for constructing a confidence interval about a proportion:
- random sample or randomized experiment?
- 10 % when sampling without replacement, check n≤1/10N (40 students is enough to assume 10%)
- large count
all conditions are met so it is safe to assume distribution will be approximately normal
write a statment about what you think of harry potter
Answers
Answer:
DRACO MALFOY- i don't think this needs a further explanation. :)
Step-by-step explanation:
- Malfoy...DRACO Malfoy..
-Scared, Pottah?
-Honestly, Goyle, if you were any slower, you'd be going backwards.
-ItS kiLleD mE
-You and your bLOody ChiCKen
mk im done:)
The chemical element einsteinium -253 naturally loses its mass over time . A sample of einsteinium-253 had an initial mass of 320 grams when we measured it. The relationship between the elapsed t, in days, and the mass,m(t), in grams left in the sample is modeled by the following function: M(t)=320•(0.125)^t/61.4 complete the sentence: the sample loses 87.5% of its mass every ___ days.
Answers
Answer: 61.4
Step-by-step explanation:
Put the verbs in brackets into
the to-infinitive or -ing form.
How do they differ in
meaning? Check in the
Grammar Reference section.
1
a Diane has stopped eating
(eat) in between meals.
(she no longer does it)
b The runner stopped to have
(have) a rest after training
for many hours. (stopped to
do sth and then continued
what he was doing)
2 a Aaron forgot
(take) his vitamins.
b Forget about
(go)
to the gym. I need you.
3 a Daniel remembers
(meet) his sports idol
when he was younger.
b Andy didn't remember
.... (buy) tickets
for the match.
4 a I will try
(think) more positively
from now on.
b Ellen tried .............. (diet)
and lost several kilos.
5 a She used
(play) volleyball when she
was in high school.
b He is used
(exercise) at the weekends.
.
Answers
Answer:
i hope u have a good day
Step-by-step explanation:
3
An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to
each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on W
Pat found a record showing that there were a total of 22 cats and dogs at the she
Wednesday. How many cats were at the shelter on Wednesday?
22.
I’m
Answers
Answer:
10 cats were at the shelter on wednesday
Step-by-step explanation:
Please someone help me with this!!!
Find the indicated term of the given geometric sequence.
a1 = –5, r = 5, n = 5
Answers
Answer:
a₅ = -3125
Step-by-step explanation:
Given that,
a₁ = -5, r = 5 and n = 5
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_5=-5\times 5^{5-1}\\\\=-5\times 5^4\\\\=-3125[/tex]
So, the fifth term is equal to -3125.
Will give brainliest
Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.
Answers
Answer:
18Step-by-step explanation:
Given,
Radius of the cylinder = 3cm
Height of the cylinder = 3cm
Therefore,
Lateral surface area of the cylinder
[tex] = 2\pi rh[/tex]
[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]
[tex] = 2\pi \times 9 {cm}^{2} [/tex]
[tex] = 18\pi {cm}^{2} [/tex]
Hence,
The required value in the green box will be 18 (Ans)
Answer:
18 pi
Step-by-step explanation:
hop this helps