The area of the circle is 201 m².
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.So, the area of the circle:
The perimeter of square: 4aCircumference of the circle: 2πrWe know that 4a = 2πr, now calculate r as follows:
4a = 2πr48 = 2πrr = 48/2πr = 48/2(3.14)r = 48/6.28r = 7.64Rounding off: 8m
Area of circle:
πr²3.14(8)²3.14(64)200.96Rounding off: 201 m²
Therefore, the area of the circle is 201 m².
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Math for Homework
Question Help Challenge You buy 1.09 pounds of apples, 0.99pounds of grapes, and 1.29 pounds of oranges. What is your total bill?
Grocery Store Prices
Item
Cost
Apples
$0.99 per
pound
Grapes
$1.19 per
pound
$1.09 per
Oranges
Savvar Egge Rigid muiago
Your total bill is $
(Round to the nearest cent as needed.)
Clasroom Continks Schoonet: math
Please help!!
I’ll give you the Brainiest
You are shopping for T-shirts. Store A has T-shirts
priced at $25 for 2 shirts. Store B has T-shirts
priced at $42 for 4 shirts. Which store offers the
better deal?
Answer: The answer is the $42 T-Shirts
Step-by-step explanation: 42 divided by 4 is 10.5 dollars per t-shirt.
25 divided by 2 would mean 12.5 dollars per t shirt. There is only a 2 dollar difference, but it is clear that the 4 t-shirt deal is the best.
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points)
Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points)
Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)
From the given sequence, it is found that:
a) It is a geometric sequence, as the ratio between consecutive terms is the same.
b) Station 5 will be completed in 48 minutes.
c) Station 9 will be completed in 768 minutes.
What is a geometric sequence?In a geometric sequence, the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by the following rule:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In the context of this problem, the ratio between consecutive terms is given by:
r = 24/12 = 12/6 = 6/3 = 2.
Hence it is a geometric sequence.
Applying the recursive formula, the time for Station 5 is the time for Station 4 multiplied by the common ratio of 2, hence:
24 x 2 = 48 minutes.
The first term of the sequence is of 3, hence the explicit formula is given by:
[tex]a_n = 3(2)^{n-1}[/tex]
Hence the time for the 9th station, in minutes, is given as follows:
[tex]a_9 = 3(2)^{8} = 768[/tex]
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please help like soon
The distance between the two points is 10 units and the slope of the line is -78/25
Distance Between Two Points
To find the distance between two points, we can simply use the formula of distance between two which is given as
[tex]d=\sqrt{(y_2-y_1)^2 + (x_2 - x_1)^2}[/tex]
Let's substitute the values and solve for the distance.
[tex]d=\sqrt{(y_2-y_1)^2 + (x_2 - x_1)^2}\\d = \sqrt{(1-7)^2 + (-3 - 5)^2} \\d = 10[/tex]
2)
The slope of the line can be found using the two points given.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
let's substitute the values and solve.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = -\frac{78}{25}[/tex]
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The diagram below shows the first four of a series of designs that an artist draws on artwork.
The artist wants to use a design with a maximum of 15 shaded circles. What number of design should the artist use?
Using an arithmetic sequence, the number of design that the artist should use is:
b. Design 6.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
The sequence for the number of circles is:
(4, 6, 8, ...)
Hence the common difference is given by:
d = 8 - 6 = 6 - 4 = 2.
Then the rule for the nth term is:
[tex]a_n = 4 + 2(n - 1)[/tex]
As the first term is of 4.
The maximum number is of 15 shaded circles, hence:
4 + 2(n - 1) ≤ 15
4 + 2n - 2 ≤ 15
2 + 2n ≤ 15
2n ≤ 13
x ≤ 6.5.
Hence the maximum number is of 6, meaning that Design 6 is chosen, given by option b.
Missing informationThe complete problem is given by the image at the end of the answer.
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Find the measure of each acute angle in a right triangle in which the measure of one acute angle is 11 times the measure of the other acute angle.
The measure of the acute angles in the triangle are 7.5 and 82.5
How to determine the measure of the acute angles?From the question, we have the following parameters:
One acute angle is 11 times the measure of the other acute angle.
Let the acute angles be x and y
Such that
y = 11x
The sum of the acute angles in a right triangle is 90
So, we have
x + y = 90
This gives
x + 11x = 90
So, we have
12x = 90
Divide by 12
x = 7.5
Recall that y = 11x
So, we have
y = 11 x 7.5
Evaluate
y = 82.5
Hence, the acute angles are 7.5 and 82.5
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A new club sent out 152 coupons to boost sales for next year's memberships. They provided 3 times as many to potential members than to existing members. How many coupons did they send to existing members?
The club has to send 57 coupons to existing members.
Given,
The number of coupons sent out by a new club to boost sales for next year's membership = 152
They provide 3 times as many to potential members than to existing members
We have to find the number of coupons they send to existing members;
Here,
x be the number of coupons to existing members.
Then,
3x = 152
Now,
x = 152/3 = 50.66 ≈ 57
That is,
The club has to send 57 coupons to existing members.
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There are 20 balloons in Emma's hand. Four-fifths are red
balloons. How many red balloons are in Emma's hand?
Answer:
16
Step-by-step explanation:
4/5=0.8
20*0.8=16
Create a division equation that represents the question: How many \frac{3}{8} are in \frac{5}{4} ?
The division equation that represents number of 3/8 in 5/4 is 10/3 = x.
Given,
Fractions : 3/8 and 5/4
We have to find a division equation for number of 3/8 in 5/4
Number of 3/8 in 5/4 = x
Now,
Number of a in b = b/a
So here,
Number of 3/8 in 5/4, x = 5/4 / 3/8
Number of 3/8 in 5/4, x = 5/ 3/2
Number of 3/8 in 5/4, x = 5 × 2 / 3
Number of 3/8 in 5/4, x = 10/3
That is,
The division equation that represents number of 3/8 in 5/4 is 10/3 = x.
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Which expression is equivalent to 2.5 + 3a
5.5a - 29.5
3a - 32
3a - 27
5.5a - 10.5
Mak
20 9.5?
Answer:d
Step-by-step explanation:
PLEASE HELP I AM GROUNDED AND MY MOTHER IS SO MAD AT ME FOR MY GRADE
Answer: b=116, c=64
Step-by-step explanation:
5/6a-3=5/8
How would you solve this?
Step-by-step explanation:
[tex] \frac{5}{6} (a) - 3 = \frac{5}{8} \\ lcd = 48 \\ \\ \frac{5}{6} (a)(48) - 3(48) = \frac{5}{8} (48) \\ 40a - 144 = 30 \\ 40a = 30 + 144 \\ 40a = 174 \\ \frac{40a}{40} = \frac{174}{40} \\ a = 4\frac{14}{40} \\ a = 4 \frac{7}{20} [/tex]
I FIRST FOUND THE LCD AFTER THAT MULTIPLY EACH AND EVERY TERM IN THE EQUATION BY IT TO HET RID OF THE FRACTIONS AND SOLVE FOR a.
You start with $100 at a casino and can bet any amount of that money to play a game any amount of times where in each game, you have a 40% chance of winning. If you win, you’ll gain the amount you bet, in addition to being returned the amount you bet. If you lose, you lose your bet. What is your strategy to have the highest chance of getting to $200? (100 - 200 words)
Our strategy to win $200 is to use $100 in just one chance. It is the best bet for winning $200.
Given that we start with $100 at a casino and can bet any amount of that particular money to play a game to any amount of times where we have a 40% chance of winning in each game. If we win, we will gain the amount we bet and return the amount that we bet. If we lose, we will lose our bet.
It has been asked that what should be our strategy to win get $200.
We can write from the given information that:
Probability of wining = 40 % = 0.4
Probability of losing = 1 - 0.4 = 0.6
The best bet to win $200 is to bet $100 in one go itself.
For the above bet chance of winning $100 is 0.4
But let us assume that we are betting $50 two times,
Then L-Lose and W-Win
There will be 4 rational possible cases (WW,WL,LW,LL)
Probability of all the 4 above given cases will be as follows:
Probability of (WW) = 0.4 X 0.4 = 0.16
Probaility of (WL) = 0.4 X 0.6 = 0.24
Probability of (LW) = 0.6 X 0.4 = 0.24
Probability of (LL) = 0.6 X 0.6 = 0.36
Now for winning $100 we need to win both the bets of $50.
But the probability of winning both the bets = 0.16 ( very less than 0.4)
Hence the best bet would be to use $100 in one chance itself.
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Our strategy to win $200 is to use $100 in just one chance. It is the best bet for winning $200.
It has been asked that what should be our strategy to win get $200.
We can write from the given information that:
Probability of wining = 40 % = 0.4
Probability of losing = 1 - 0.4 = 0.6
The best bet to win $200 is to bet $100 in one go itself.
For the above bet chance of winning $100 is 0.4
But let us assume that we are betting $50 two times,
Then L-Lose and W-Win
There will be 4 rational possible cases (WW,WL,LW,LL)
Probability of all the 4 above given cases will be as follows:
Probability of (WW) = 0.4 X 0.4 = 0.16
Probability of (WL) = 0.4 X 0.6 = 0.24
Probability of (LW) = 0.6 X 0.4 = 0.24
Probability of (LL) = 0.6 X 0.6 = 0.36
Now for winning $100 we need to win both the bets of $50.
But the probability of winning both the bets = 0.16 ( very less than 0.4)
Hence the best bet would be to use $100 in one chance itself.
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(1 × 10¹)(8 × 10^4) help
Answer:
800000
Step-by-step explanation:
(1 x 10^1) = 10
(8 x 10^4) = 80000
10 x 80000 = 800000
Kelsey has an orange ribbon and a blue ribbon. The orange ribbon is 7 11/12 inches long and the blue ribbon is 17 5/12 inches long. How much longer is the blue ribbon than the orange ribbon?
The blue ribbon is 2.2 times longer than the orange ribbon
How to determine the ratioFrom the information given, we have that;
The orange ribbon is 7 11/12 inches long The blue ribbon is 17 5/12 inches longNow, lets convert the mixed fractions to improper fractions;
Length of orange ribbon = 95/12
Length of blue ribbon = 209/12
The ratio is expressed as;
Length of blue ribbon/length of orange ribbon
Substitute the values, we have;
= 209/12 ÷ 95/12
Take the inverse of the divisor and multiply
= 209/ 12 × 12/95
= 2. 2 times
Hence, it is 2.2 times longer.
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How do you write 8.82 x 102 in standard form?
Answer: Multiply 102 by 8.82 = 899.64x
Calculator
What is the area of a rectangle with vertices at
ter your answer in the box.
(0,-4).(-1, -3) (2, 0), and (3, − 1)?
Answer:
The answer to your question is: 6 units
Step-by-step explanation:
Data
A (-4, 0)
B (-3,1)
C (0,-2)
D (-1,-3)
Formula
d = √((x2 - x1)² + (y2 - y1)²)
Process
dAB = √((x2 - x1)² + (y2 - y1)²) dAC = √((0 + 4)² + (-2 + 0)²)
= √((-3 + 4)² + (1 - 0)²) dAC = √((4)² + (-2)²)
= √((1)² + (1)²) dAC = √(16 + 4)
= √1 + 1 dAC = √20
dAB = √2 = dCD
dAD = √((-1 + 4)² + (-3 - 0)²)
dAD = √((3)² + (-3)²)
dAD = √9 + 9
dAD = √18 = dBC
reactangle's area = base x height = √18 x √2 = √18 x 2 = √36
= 6 units
Can someone help me please
The next correct step of the following elimination method is (C) subtract to eliminate 'x'
What is the elimination method?The elimination method involves taking one variable out of the system of linear equations by using addition or subtraction along with multiplication or division of the variable coefficients. The problem is reduced to solving a single variable equation using the elimination method. Finding the values of x and y without changing the equations is fairly challenging. The x s cancel out and the x is removed from the equations when they are added together. As a result, it is known as the "elimination method."So, the next correct step of the elimination method:
We can see that in both equations, '-3x' is the same and this means we will cancel the x variable.Then, option (A) and option (D) is incorrect.
We know that (+ -) is always (-) but (- -) is always (+).And we need to make if -3x and +3x to cancel the 'x' variable.Thus, the correct option will be an option (C).
Therefore, the next correct step of the following elimination method is (C) subtract to eliminate 'x'
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easy 8th grade math
with explanation pls
Answer:
x: (40,0)
y:(0,30)
Step-by-step explanation:
hope this helped
have a good day :)
How many pounds of apples must chris pick before Pam’s orchard is cheaper that david’s
The total pounds of apples that Chris must pick before Pam’s orchard is cheaper that David's is 14.
How many apples should Chris pick?The first step is to determine the total cost of picking apples from both orchards.
Cost of picking apples from David's Orchard : (10 x $2) + [(x - 10) x $1]
$20 + $x - $10
= $10 + $x
Cost of picking apples from Pam's Orchard : $10 + ($10 x $1.5) + [(x - 10) x 0.75]
$10 + $15 + 0.75x - 7.5
= $17.50 + 0.75x
When Pam's Orchard is cheaper, the equation becomes :
$10 + $x > $17.50 + 0.75x
$x - 0.75x > $17.50 - $10
0.25x > $7.50
x > $7.50 / 2.5
x > 3
Total pounds should be greater than 3, so it can be 4.
Total pounds = 10 + 3 = 14
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Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars. A. 3x+2=30B. x+2+3x=30C. 2x+3=30D. x+2x+3=30
We can represent the length in Zach's car model by x
Since we have been given that Ginny's car is 2 more than 3 times the length of Zach's car, then we can get the expression as follow
[tex]\begin{gathered} 3\text{ times the length of Zach's car is} \\ 3\times x=3x \\ \end{gathered}[/tex][tex]\begin{gathered} 2\text{ more than 3 times the length of Zach's car will be} \\ 2+3x \end{gathered}[/tex]Therefore,
Ginny's model will be 2 + 3x
Next, we are told that the sum of the lengths of both cars is 30 inches
Then
[tex]\begin{gathered} Zach\text{+}Ginny=30 \\ x+2+3x=30 \end{gathered}[/tex]Therefore,
The answer is
[tex]x+2+3x=30[/tex]Thus, the answer is Option B
which is a appropriate estimate for 53,320x599
The answer after its estimation will be 3,00,00,000.
Here, the 53,320 will be estimated to 50,000 and 599 will be estimated to 600.
So, on multiplying, we get;
50,000×600 = 3,00,00,000
To offer an estimated, projected result rather than an exact result, we employ approximations in our calculations. Calculations are easier to handle when they are estimated using round numbers.
The result of rounding 109 to the closest ten is 110. and 100 is the nearest hundred. 2) Round the number downward if it is followed by the digits 0, 1, 2, 3, or 4. 102, for instance, is 100 when rounded to the closest ten.
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Jason bought four tickets to a basket ball game. He paid a total of $42.10 for the tickets and his parking was $6.50. What is the cost of each ticket
The cost of each ticket is 8.9 dollars.
What is cost price?
In mathematics, the term cost price can be explained with the help of profit which states, as the amount which is on the commodity and in the form of standard price called cost price. For the profit, the amount of the commodity can be designed by the shopkeeper which is bigger amount as per the cost price.
According to the question, the Jason bought 4 tickets for basket ball game. He paid a total cost of $42.10 for the tickets and for parking as $6.50
The paid amount for the 4 tickets is: $42.10.
And the parking cost is: $6.50
Total cost price without parking is: $42.10 - $6.50 = $35.60
Therefore, to calculate the cost of each ticket is: 35.60/4 = 8.9 dollars
Hence, the cost of each ticket is 8.9 dollars.
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Measure of angle 1 = 110 degrees. You only need to type 110.
The unknown angles are as follows:
∠1 = 110°∠2 = 70°∠3 = 110°∠4 = 70°∠5 = 110°∠6 = 70°∠7 = 110°∠8 = 70°How to find angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, linear angles, alternate angles etc.
Therefore,
∠1 = 110 degrees
∠2 = 180 - 110 (sum of angles on a straight line)
∠2 = 70°
∠3 = ∠1 (vertically opposite angles)
Vertically opposite angles are congruent. vertically opposite angles share the same vertex
Therefore,
∠3 = 110°
∠2 = ∠4 (vertically opposite angles)
∠4 = 70°
∠1 = ∠5 (corresponding angles)
Corresponding angles are congruent
∠5 = 110°
∠6 = ∠4(alternate angles)
Alternate angles are congruent.
∠6 = 70°
∠1 = ∠7 (alternate exterior angles)
∠7 = 110°
∠2 = ∠8(alternate exterior angles)
∠8 = 70°
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When 4a-a is simplified it’s equivalent to
Answer: 3a
Step-by-step explanation: 4a - 1a = 3a
The mass of a textbook is approximately 0.0165 metric tons. If this number were written in scientific notation, what would the
exponent be?
If the number were written in scientific notation, the exponent will be -2.
What is scientific notation?Scientific notation is a method of expressing numbers that are either too large or too little to be represented in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.
The number of times a number is multiplied by itself is referred to as its exponent.
In this case, the mass of a textbook is approximately 0.0165 metric tons. It should be noted that this will be 1.65 × 10^-2. The exponent is -2.
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PLEASE HELP ME!!! due tonight *will make brainlist , if answer is correct*
NEED HELP ASAP WILL MARK BRAINLIEST
Answer:
b -3
Step-by-step explanation:
t-3(4-t)=-24 multiply
t-12+3t=-24 simplify
4t-12=-24 plus 12 on both side
4t=-12 divide 4 on both side
t=-3
What is the equation of the line that is perpendicular to y = 2x + 3 and passes through the point (−4, 8). pls show work
Answer:
y = -1/2x + 6.
Step-by-step explanation:
The line perpendicular to y = 2x + 3 has slope of - 1/2 so we can write it as
y = -1/2x + c
When x = -4, y = 8 so we substitute:
8 = -1/2 (-4) + c
8 = 2 + c
c = 8-2 = 6
So, the answer is
y = -1/2x + 6.
Answer:
y = -1/2x + 6.
Step-by-step explanation:
Find the length of the missing side.
Answer:
13 cm
Step-by-step explanation:
You can use the pythagorean theorem to solve this problem. The pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where and b are the legs of a right triangle and c is the hypotenuse.
In the problem, we are given two legs, 12 and 5, so we can substitute them in for a and b and solve from there:
[tex]5^2+12^2=c^2[/tex]
[tex]25+144=c^2[/tex]
[tex]c^2=169[/tex]
[tex]c=13[/tex]
The missing side is 13 cm long