What is the common difference in the arithmetic sequence -4x,-x,2x,5x,8x,... ?
The area of a square is greater than the area of the circle by 12 cm². find the length of the side of a square if the area of the circle is 36 cm².
Final answer:
To find the length of a side of the square, calculate the square root of the sum of the areas of the circle (36 cm²) and the additional 12 cm². This results in a square side length of approximately 6.93 cm.
Explanation:
We are given that the area of the circle is 36 cm², and we know that the area of a square is greater than the area of the circle by 12 cm², which means the area of the square is 36 cm² + 12 cm² = 48 cm².
The area of a square is given by A = a², where a is the length of the side of the square. So, we need to find the value of a that satisfies the equation a² = 48 cm².
By taking the square root of both sides of the equation, we get a = √(48 cm²). Simplifying the square root of 48 gives us a ≈ 6.93 cm. Therefore, the length of a side of the square is approximately 6.93 cm.
What is the value of n? Enter your answer in the box.
Answer:
n=6
Step-by-step explanation:
Since, we know that when two chords intersect each other inside a circle, the products of their segments are equal. Thus, using this property, we have
[tex](n+8)5=(n+4)7[/tex]
⇒[tex]5n+40=7n+28[/tex]
⇒[tex]40-28=7n-5n[/tex]
⇒[tex]12=2n[/tex]
⇒[tex]n=6[/tex]
Thus, the value of n is 6.
Answer:
[tex]n=6[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the value of n.
We can see that two chords of our given circle are intersecting inside it, so we will use intersecting chords theorem to solve for n.
Intersecting chords theorem states that when two chords of a circle intersect inside the circle, then product of the segments of both chords is equal.
Using intersecting chords theorem we can set an equation as:
[tex]5(n+8)=7(n+4)[/tex]
Using distributive property [tex]a(b+c)=a*b+a*c[/tex] we will get,
[tex]5*n+5*8=7*n+7*4[/tex]
[tex]5n+40=7n+28[/tex]
Subtracting 40 and 7n from both sides we will get,
[tex]5n-7n+40-40=7n-7n+28-40[/tex]
[tex]-2n=-12[/tex]
Dividing both sides by -2 we will get,
[tex]\frac{-2n}{-2}=\frac{-12}{-2}[/tex]
[tex]n=6[/tex]
Therefore, the value of n is 6.
$1200.00 is deposited into an account that earns 6.5% interest, which is compounded four times per year. How much money will be in the account after 6 years?
The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h more than the car. determine the average speeds of the cyclist and the car.
To determine the speeds, we set up relative speed equations and solve for 'x'. The cyclist's average speed is 15 km/h and the car's average speed is 45 km/h.
Explanation:Let's denote the cyclist's speed as 'x' km/h and the car's speed as '3x' km/h (since it's three times the cyclist's speed).
Given that speed is distance over time, we can set up the following equations:
For the cyclist: 225km / x = time, and for the car: 225km / 3x = time - 5.
By equating these two expressions, we get: 225/x = 225/3x + 5.
Solving this equation for 'x', we get x = 15. Thus, the average speed of the cyclist is 15 km/h and the car (3x) is 45 km/h.
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The feel better spa has two specials for new members. They can receive 3 facials and 5 manicures for $114 or 3 facials and 2 manicures for $78
Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donuts Dan will have delivered after a given number of hours to the corresponding recursive function. Tiles number of donuts delivered 2 hours from now number of donuts delivered 7 hours from now number of donuts delivered n hours from now number of donuts delivered 6 hours from now Pairs next = now + 6 × 60, starting at 48 arrowBoth next = now + 60 + 60, starting at 48 arrowBoth next = now + 420, starting at 48 arrowBoth next = now + 60n, starting at 48 arrowBoth
Answer:
A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60
B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn
C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)
so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
°
Answer:
The measure of the ∠A is 59°.
Step-by-step explanation:
It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.
Therefore, ∠A+∠C=180°
⇒[tex]A+121^{\circ}=180^{\circ}[/tex]
⇒[tex]A=180-121[/tex]
⇒[tex]A=59^{\circ}[/tex]
Therefore, the measure of the ∠A is 59°.
Apologies on this being 4 years late, but to anyone else who stumbles across this; answer is 59°
I had taken the test and got it correct
Good luck, and i hope this helps!! :]
Clark left for school at 7:43 am he git to school 36 minutes later.what time. Did clark get to school???
PLS PLS PLS HELP I rly need help in geometry
if x-15=7-5(x-4) then x=?
0
5
4
2
7
-22+0.3z=3-0.5z-0.8z
Expand the logarithmic expression. I will award brainliest.
Math help!!!!!!!!!!!!!!
Answer:
The answer is E
Step-by-step explanation:
Jason can paint a room in 6 hours. Lorissa can paint a room in only 3 hours. Which of the following can be used to determine the amount of time it would take for Jason and Lorissa to paint a room together?
a-1 over 6 plus 1 over 3 equals 1 over x
b-1 over x plus 1 over 3 equals 1 over 6
c-1 over 6 plus 1 over x equals 1 over 3
d-1 over 3 plus 1 over 6 equals x over 9
Natalie picked 135 berries in 15 minutes if she continues picking at that rate how long will it take her to pick 486 berries? @skullpatrol,
Match the reasons with the statements in the proof.
1. m∠6=m∠8, b||c
Substitution
2. m∠7=m∠8
If alternate interior angles equal, then lines ||.
3. m∠6=m∠7
Given
4. a||b
If lines ||, corresponding angles =.
The statements and reasons are m∠6 = m∠7 | Given, m∠7 = m∠8 | If alternate interior angles equal, then lines are parallel, m∠6 = m∠8, b||c | Substitution and a||b | If lines are parallel, corresponding angles are equal.
The reason for statement 1 is "Given" because it is given in the problem.
The reason for statement 2 is "If alternate interior angles equal, then lines are parallel." This is a theorem in geometry.
The reason for statement 3 is "Substitution" because we are substituting m∠7 for m∠8.
The reason for statement 4 is "If lines are parallel, corresponding angles are equal." This is also a theorem in geometry.
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WILL GIVE BRAINLIEST FOR CORRECT ANSWER!
How is energy transferred during the water cycle
A. water gains energy during evaporation and condensation
B. water gains energy in condensation and releases it in evaporation
C. water releases energy during evaporation and condensation
D. water gains energy during evaporation and releases it during condensation
natalie guessed on the last four true or false questions on her math quiz. what is the probability that she got all four quiz questions correct?
The probability that Natalie got all four quiz questions correct after guessing would be 6. 25 %.
How to find the probability ?If Natalie guessed on the last four true or false questions, there are two possible outcomes for each question (correct or incorrect), and she has a 50% chance of guessing correctly for each question since there are only two options.
To find the probability that she got all four quiz questions correct, you can multiply the probabilities for each question:
Probability of guessing a question correctly = 0.5 (since there are 2 options, and she has a 50% chance of guessing correctly)
Probability of getting all four questions correct = (0.5) * (0.5) * (0.5) * (0.5)
= 0.0625
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PLEASE HELP NOW 1 QUESTION FOR 25 POINTS
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.
Which of the following is an example of independent events?
A) Selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back.
B) Spinning a 3 on a spinner and getting a head from a coin toss.
C) Drawing a king from a standard deck of cards and then drawing an 8 without replacing the king.
D )Four people are drawn successively without replacement from a group of 30 to represent the group.
Please find the domain and range of this equation: y=3 (x-2)^2+5
Using the definition of even and odd functions explain why y= sin x+ 1 is neither even or odd ?
Can you show how you worked it out cause I'm not sure on how to plug it in exactly
a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately normally distributed for the 1208 graduating seniors. This mean score on the test was a 74 and the standard deviation was 11. what percent of the graduating seniors had a test above 85? Express your answers to the nearest percent.
Based on the mean score of the test, the percentage of students who scored above 85% in the test was 16%.
Which students scored above 85 in the test?Based on the fact that this distribution is normally distributed, the percentage of students that scored higher or lower than 85% within 1 standard deviation is:
= 100% - 68%
= 32%
The number of students who scored above 85% would therefore be:
= 32% / 2
= 16%
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The measurement of one angle of a right triangle is 34°.
What is the measurement of the third angle?
Enter your answer in the box.
Final answer:
The third angle of the right triangle is calculated by subtracting the sum of the known right angle (90°) and the given angle (34°) from the total sum of angles in a triangle (180°), which equals 56°.
Explanation:
To find the measurement of the third angle in a right triangle where one of the angles is 34°, we use the fact that the sum of the angles in any triangle is 180°. Since one angle is 34° and another is by definition 90° in a right triangle, we can subtract these two angles from 180° to find the third angle:
Sum of angles in a triangle = 180°
Two known angles: 90° (right angle) + 34° = 124°
Third angle = 180° - 124° = 56°
Therefore, the measurement of the third angle is 56°.
The fish population in a lake decreases by 20% each year. What is the common ratio?
What are the estimated annual wages for a person who earns 10.25 an hour
y = x – 6
x = –4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
the answer is (-4 -8)
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Choose the correct product of (6x − 2)(6x + 2). (1 point)
If you can't see the images here
36x2 − 4
Which of the following is true regarding the solution to the logarithmic equation below?
Answer:
Option C. is the correct option.
Step-by-step explanation:
The given expression is [tex]log_{2}(x+11)=4[/tex]
We further solve this
[tex](x+11)=2^{4}=16[/tex]
[tex]x = 16-11=5[/tex]
Now we evaluate the options
A). [tex]log_{5}16\neq 2[/tex]
But the expression is given as [tex]log_{2}(x+11)=4[/tex]
Wrong expression so not correct.
B). [tex]log_{5}16\neq 4[/tex]
Wrong expression again so not correct
C). By putting x = 5 in the expression
[tex]log_{2}(x+11)=4[/tex]
[tex]log_{2}(5+11)=log_{2}(16)=log_{2}(2^{4})=4[/tex]
Therefore this option is the correct option.
D). By putting x = 5 in the expression
[tex]log_{4}(5+11)=log_{4}(16)=log_{4}(4^{2})=2[/tex]
But the expression is [tex]log_{2}(x+11)=4[/tex]
So this option is also not correct.
Answer:
c
Step-by-step explanation: