Given:
Diameter of circle = 10 cm
Side length of square = 6 cm.
To show:
That the square will fit inside the circle without touching the edge of the circle.
Solution:
A square will fit inside the circle without touching the edge of the circle if the diagonal of the square is less than the diameter of the circle.
We have,
Side length of square = 6 cm.
Using Pythagoras theorem, the diagonal of the square is
[tex]Hypotenuse^2=perpendicular^2+base^2[/tex]
[tex]d^2=a^2+a^2[/tex]
[tex]d^2=2a^2[/tex]
Taking square root on both sides.
[tex]d=\sqrt{2a^2}[/tex]
[tex]d=a\sqrt{2}[/tex]
Putting a=6, we get
[tex]d=6\sqrt{2}[/tex]
[tex]d=6(1.414)[/tex]
[tex]d=8.484<10[/tex]
Since, the diagonal of the square is less than the diameter of the circle, therefore the square will fit inside the circle without touching the edge of the circle.
Hence proved.
What is the measure , in degrees of the angle marked B?
Answer:
B = 142
Step-by-step explanation:
First, you need to find the angle of the third angle of the triangle. The three angles of a triangle always add up to 180, so it will be:
n + 77 + 65 = 180
= n + 142 = 180
= n = 38
Now, you need to find the angle supplementary to 38, as 38 and B are linear angles. Two supplementary angles add up to 180, so:
B + 38 = 180
= B = 142
The measure of the angle marked as B that is ABD in the given figure is equal to 142°.
Let us consider the vertices of the triangle are A, B , C
Where
measure of angle A = 77 degree
measure of angle C = 65 degree
Ray CB extends to Point D such that C-B - D.
Sum of all the interior angles in a triangle is equal to 180 degree.
Let measure of angle ABC be x degree.
m∠ABC + m∠BAC + m∠BCA = 180°
⇒ x° + 77° + 65° = 180°
⇒ x° + 142°= 180°
⇒ x° = 38°
Now angle ABC and angle ABD are linear pair.
m∠ABC + m∠ABD = 180°
⇒ 38° + m∠ABD = 180°
⇒ m∠ABD = 180° - 38°
⇒ m∠ABD = 142°
Therefore, measure of the angle marked as B is equal to 142°.
learn more about angle here
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PLEASE HELP!
WILL GIVE 20 PTS!!!
Answer:
Stay with the B point you can move the other A and C points and for the second question is B) the answer
Step-by-step explanation:
Life is just one have fun
Atoms have Negatively charged particles called electrons and positively charged particle calls called protons if an atom loses an electron it has a positive electric charge if it gains an electron it has a negative electric charge which integer would represent the electric charge of an atom that has an equal number of electrons and protons?
Answer:
0
Step-by-step explanation:
This is because since the charge on the electron is negative while that on the proton is positive, also, the number of electrons equals the number of protons, this implies that the number of charges of electrons is equal and opposite to the number of charges of protons. This implies that their numbers are the inverse of each other. We know that the sum of a number and its inverse is zero, therefore, the electric charge on an atom with equal number of electrons and protons is thus zero.
So the integer that would represent this charge is zero, "0".
In 2012, Grossfeld Company has net credit sales of $1,600,000 for the year.It had a beginning accounts receivable (net) balance of $108,000 and an ending accountsreceivable (net) balance of $120,000. Compute Grossfeld Company's (a) receivablesturnover and (b) average collection period in days.
Answer: a. 14.04; b. 26 days
Step-by-step explanation:
Net credit sales = $1,600,000
Beginning account receivable = $108,000.
Ending account receivable = $120,000
The Amaverage accounts receivables will be:
= ($108000 + $120000)/2
= $228000/2
= $114,000
Accounts Receivable turnover will then be calculated as:
= Net sales/Average accounts receivables
= $1600000/$114000
= 14.04
b) Average collection period will be calculated as:
= Number of days in a year/Accounts receivable turnover
= 365/14.04
= 25.997
= 26 days approximately
Find the value of r un the equation: r - 8 = 2
Answer:
10
Step-by-step explanation:
r - 8 = 2
r = 2 + 8
r = 10
hope you understood!
What inequality represents this graph?
Answer:
x ≥ -8
General Formulas and Concepts:
If it is a closed dot, we use the inequality and equal sign: ≥ or ≤
If it is a open dot, we use the inequality only: > or <
Step-by-step explanation:
We can label the solutions as x.
We see starting from -8 that are solutions get larger.
Since the dot is closed, we use the greater than or equal to sign: ≥
Therefore, x has to be greater than -8 and increasing towards ∞.
x ≥ -8
A car dealership manager has determined that the prot, in thousands of dollars, of the dealership can be determined by the expression , where is the number of cars sold. A dierent manager states that the prot of the dealership can be determined by the function . What number of cars sold makes the equation true? Select all that apply
A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the expression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.
Answer:
x = 0 ; x = 9
Step-by-step explanation:
Given that:
Manager 1 's profit function:
x² - 4x ; x = number of cars sold
Manager 2's profit function:
5x ; x = number of cars sold
Nunbers That makes the equation:
x² - 4x = 5x true
x² - 4x = 5x
Subtract 5x from both sides to make right hand side =. 0
X² - 4x - 5x = 5x - 5x
x² - 9x = 0
Using factorization to equate separate the x values.
x(x - 9) = 0
x = 0 or (x - 9) = 0
Hence,
x = 0 ; or
x - 9 = 0 ; x = 9
x = 0 OR x = 9
Number of cars sold which makes both managers have the same profit from the functions are either 0 or 9
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar sign, 7. Buffalo Mild Wings has 121212 wings for \$10$10dollar sign, 10. Wingers has 202020 wings for \$17$17dollar sign, 17.
Complete question :
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar sign, 7. Buffalo Mild Wings has 121212 wings for \$10$10dollar sign, 10. Wingers has 202020 wings for \$17$17dollar sign, 17. Which restaurant offers the lowest price per wing?
Answer:
Wingers ($0.85 per wing)
Step-by-step explanation:
Given the following :
Buffalo:
Price of 8 wings = $7
Price per wing :
Price sold / Number of wings :
$7/8 = $0.875
Buffalo Mild wings :
Price of 12 wings =$12
Price sold / Number of wings :
$12/12 = $1 per wing
Wingers :
Price of 20 wings = $17
Price sold / Number of wings :
$17/ 20 = $0.85
The lowest price per wing is offered by:
Wingers : $0.85 per wing
Miss Owens plans to join golds gym there is a one time registration fee of $75 and a monthly charges $15 write an equation to represent the situation. Be sure to identify the slope and the Y intercept remember your equation must be in slope intercept form
Answer:
y=15x+75
hope this helps!
What is the slope of the following table?
Answer:
The slope is 2.5
Step-by-step explanation:
7-2=5. 4-2=2
5/2=2.5
graph y = 5/3x - 9 please
Answer:
hope this helps :)
Step-by-step explanation:
brainliest if correcto
please help me answer asap
Answer:
yes
Step-by-step explanation:
When is it best to find the average of the entire population? Select all that apply.
A)when there is a small amount of data in the population
B)when there is a large amount of data in the population
C)when it is easy to access the data set of the population
D)when it is hard to access the data set of the population
E)when there is no time to perform the calculations
Answer:
Step-by-step explanation:
im guessing probably E
I hope im right
Answer: when there is a small amount of data in the population.
Jasmine surveyed the people at a local playground. She found that 2 out of 3 people have applied sunscreen that day. On Wednesday, Jasmine returns to the park and finds that 12 people have applied sunscreen. About how many people do you expect were at the park on Wednesday
Answer:
8
Step-by-step explanation:
2/3 is also 8/12
8 out of 12 people is 2/3
What is the image of P(-8,4)?
4−23x=−23x+10
what is the value of x?
Answer: look at the picture
Step-by-step explanation: hope this help :)
There are 272 students in a school and there are 7 classrooms in total. If one classroom has 8 students and the rest of the classrooms have the same number of students, how many students are there in each of the remaining 6 classrooms? Write and solve a two-step equation to answer the question.
Answer:44
Step-by-step explanation:You know where 8 of the 272 students are, they’re in that 7th classroom. Since the 7th classroom’s students shouldn’t be in your final answer, take 8 from 272. Now you’ve got 264. Now there’s 6 classrooms left, and each has an equal amount. Divide 264 (the student body from all 6 classrooms) by 6 (the number of classrooms) and you get 44 (the amount of kids in each class in order for all classrooms to have an equal amount of kids).
What is the value of 2 x 2 x 2 x 2? (6th grade math)
Answer:
16
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Which situation results in a final value of zero?
А. The temperature after a decrease of 5°F from a temperature of -5°F.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a
$20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters
below sea level.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
THE ANSWER IS A.
Step-by-step explanation:
3.) Which of the following accurately describes the graph below?*
10 points
n Л
A. The graph DOES represent a function because it passes the vertical line test.
B. The graph does NOT represent a function because it fails the horizontal line test.
O
C. The graph DOES represent a function because it passes the horizontal line test.
O
D. The graph does NOT represent a function because it fails the vertical line test.
Answer:
C.
Step-by-step explanation:
Answer:
Which graph passes the vertical line test?
A.
B.
C.
D.
Its c
Step-by-step explanation:
Solve for x.
8x+36 degrees
5x + 60degrees
How Many Miles Is A Race That Is 12 Laps Around A 1/2- Mile Track?
Answer:
12 Miles is the answer! Hope you do Great!
Step-by-step explanation:
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich is they are all the same price?
Choose two answers: One for inequality that models this situation and one for the correct answer.
A. Inequality: 6x+2 > ( greater than or equal too ) 32
B. Inequality: 6x+2 < ( less than or equal too ) 32
C. Answer: $13 or less
D. Answer: $5 or less
E. Inequality: 2x+6 < 32
F. Inequality: 2x+6 < ( less than or equal too ) 32
Answer: B. Inequality: 6x+2 < ( less than or equal too ) 32
F. Inequality: 2x+6 < ( less than or equal too ) 32
Step-by-step explanation: he's left with 26$ after the overall meal
A cow's mass is 401 kg and a truck's mass is 832 kg. What is the difference between their weights?
Answer:431
Step-by-step explanation:
Answer:
the difference is 431
Step-by-step explanation:
hope this helps :)
There are two numbers whose sum is 73. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?
Answer:
23 and 50
Step-by-step explanation:
3x=19+y
y=3x-19
x+3x-19=73
4x=92
x=92/4=23
73-23=50
i truly need help with this
Triangle angles review (khan academy)
Find the value of x in the triangle shown below
X = ?
Answer:
The correct answer is 49°
The box below is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the length of the diagonal s of the bottom side to the nearest tenth if necessary?
Answer:
The diagonal of the bottom side is 17.5 cm.
Step-by-step explanation:
The diagonal of a rectangle is a straight line that joins any two of its edges.
Given that: length = 15 cm, width = 4 cm, and h = 3 cm.
The bottom side is the flat rectangular surface (base) of length 15 cm and width 4 cm which excludes the height.
So that the diagonal, s, can be determined by Pythagoras theorem.
[tex]s^{2}[/tex] = [tex]17^{2}[/tex] + [tex]4^{2}[/tex]
= 289 + 16
= 305
s = [tex]\sqrt{305}[/tex]
= 17.46425
The diagonal of the bottom side is 17.5 cm.
A consumer spends all of his money on two goods: apples and oranges. The consumer will pay $10 for apples, but only $1 for oranges. Why does the consumer pay more for apples?
Answer:
Step-by-step explanation:
Since no further information is given in this question the only reason a consumer would spend more on one item than the other is purely because of preference. The consumer in this scenario seems to enjoy eating or needs apples much more than he enjoys eating or needs Oranges. Therefore, he is ok with spending more money and getting a larger quantity of Apples than Oranges. This all depends on the demand that the individual has for a specific item over another item.
To attend the concert, it costs $25 for parking plus $45
per ticket. If Nick paid $250, how many tickets did he
purchase?
Answer:
5 tickets
Step-by-step explanation:
250-25=45x
225=45x
5=x
5 tickets