No squares should be cut. Maximum volume is zero. Dimensions remain 15cm by 40cm by 0cm.
To find the size of the square that should be cut out from each corner to maximize the volume of the bin, we need to follow these steps:
1. Understand the problem : We have a rectangular piece of plastic with dimensions 15 cm by 40 cm. By removing squares from each corner and folding up the flaps, we can form an open-top bin. We want to find the size of the squares to be cut out to maximize the volume of the bin.
2. Define variables : Let's denote the side length of the square to be cut out from each corner as [tex]\( x \)[/tex] cm.
3. Express the volume of the bin : After cutting out squares and folding up the flaps, the dimensions of the resulting bin will be [tex]\( (15 - 2x) \)[/tex] cm by [tex]\( (40 - 2x) \)[/tex] cm by [tex]\( x \)[/tex] cm. So, the volume of the bin can be expressed as: [tex]\[ V = x(15 - 2x)(40 - 2x) \][/tex]
4. Maximize the volume: To find the maximum volume, we need to find the critical points of the function [tex]\( V \)[/tex]. We'll take the derivative of [tex]\( V \)[/tex] with respect to [tex]\( x \)[/tex], set it equal to zero, and solve for [tex]\( x \)[/tex].
[tex]\[ \frac{dV}{dx} = (15 - 2x)(40 - 2x) + x(-4)(40 - 2x) + x(15 - 2x)(-4) \][/tex]
[tex]\[ 0 = (15 - 2x)(40 - 2x) - 8x(40 - 2x) - 4x(15 - 2x) \][/tex]
5. Solve for [tex]\( x \)[/tex] : Solve the equation for [tex]\( x \)[/tex] to find the critical points.
[tex]\[ 0 = 600 - 70x + 4x^2 \][/tex]
[tex]\[ 0 = 4x^2 - 70x + 600 \][/tex]
Solve for [tex]\( x \)[/tex] using the quadratic formula:
[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
where [tex]\( a = 4 \)[/tex], [tex]\( b = -70 \)[/tex], and [tex]\( c = 600 \)[/tex].
[tex]\[ x = \frac{-(-70) \pm \sqrt{(-70)^2 - 4(4)(600)}}{2(4)} \][/tex]
[tex]\[ x = \frac{70 \pm \sqrt{4900 - 9600}}{8} \][/tex]
[tex]\[ x = \frac{70 \pm \sqrt{-4700}}{8} \][/tex]
Since the discriminant is negative, there are no real solutions for [tex]\( x \)[/tex] in this case. Therefore, we need to check the endpoints of our interval.
6. Check endpoints : Since [tex]\( x \)[/tex] must be non-negative and [tex]\( (15 - 2x) \)[/tex] and [tex]\( (40 - 2x) \)[/tex] must also be positive, the possible range for [tex]\( x \)[/tex] is [tex]\( 0 \leq x \leq 7.5 \)[/tex] cm.
When [tex]\( x = 0 \), \( V = 0 \)[/tex] (no bin is formed).
When [tex]\( x = 7.5 \), \( V = 7.5(15 - 2(7.5))(40 - 2(7.5)) = 7.5(0)(25) = 0 \)[/tex] (no bin is formed).
7. Conclusion : The maximum volume of the bin is achieved when no squares are cut out from the corners. Therefore, to maximize the volume, no squares should be cut out from the corners of the plastic, resulting in a rectangular prism with dimensions [tex]\( 15 \times 40 \times 0 \)[/tex] cm³, which does not form a bin.
So, the maximum volume of the bin is [tex]1000cm^3[/tex]
To maximize the volume of the bin, we need to determine the dimensions of the squares that should be cut out from each corner to form the bin. Let's denote the side length of the square to be cut out as
x centimeters.
When the squares are cut out and the flaps are folded up, the dimensions of the resulting bin can be expressed as follows:
Length of the bin: 40−2x centimeters
Width of the bin: 15−2x centimeters
Height of the bin (equal to the side length of the square cut out): x centimeters
The volume V of the bin is given by the product of its length, width, and height:
V=(40−2x)(15−2x)x
To find the maximum volume, we need to find the value of
x that maximizes this function. We can do this by taking the derivative of
V with respect to x, setting it equal to zero, and solving for x.
Let's find the derivative of V with respect to x:
[tex]$\frac{d V}{d x}=15(40-2 x)-2(15-2 x)(40-2 x)$[/tex]
Now, let's set the derivative equal to zero and solve for x:
[tex]$15(40-2 x)-2(15-2 x)(40-2 x)=0$[/tex]
After solving for x, we can substitute the value of
x back into the expression for the volume
V to find the maximum volume of the bin. Let's do these calculations.
First, let's simplify the derivative[tex]\frac{dv}{dx}[/tex]
[tex]$\begin{aligned} & \frac{d V}{d x}=15(40-2 x)-2(15-2 x)(40-2 x) \\ & =600-30 x-\left(30 x-4 x^2\right) \\ & =600-30 x-30 x+4 x^2 \\ & =600-60 x+4 x^2\end{aligned}$[/tex]
Now, we set the derivative equal to zero and solve for x:
[tex]$600-60 x+4 x^2=0$[/tex]
Dividing both sides by 4:
[tex]$150-15 x+x^2=0$[/tex]
Rearranging and factoring:
[tex]$$\begin{aligned}& x^2-15 x+150=0 \\& (x-10)(x-15)=0\end{aligned}$$So, $x=10$ or $x=15$.[/tex]
Since x=15 would result in a negative side length for the bin, we discard it.
Thus, the optimal size square to be cut out from each corner is 10 centimeters.We can then find the maximum volume
V by substituting x=10 into the volume formula:
[tex]$V=(40-2 \times 10)(15-2 \times 10) \times 10=(20)(-5) \times 10=1000 \mathrm{~cm}^3$[/tex]
So, the maximum volume of the bin is [tex]1000cm^3[/tex]
In one minute,kayla can read 142 words.if she keeps this same rate, how many words can she read in 1 hour ???show your work
Answer:
8,760
Step-by-step explanation:
If Kaylah is reading 142 words in one minute, there is 60 minutes in an hour.
therefore,
142 x 60 = 8,760
Answer:
8520 minutes
Step-by-step explanation:
To solve, make a proportion
142 words in 1 minute, and x words in 60 minutes (1 hour).
142/1=x/60
Cross multiply
142*60=1*x
8520=x
Another way to solve is to know that each hour has 60 minutes, and she can read 142 words in 1 minute. So, we can just multiply 60 and 142.
60*142=8520
Simplify
(^3)x4
Easy 30 points
Answer:
[tex]=81[/tex]
Step-by-step explanation:
[tex]\left(-3\right)^4[/tex]
Use exponent rule [tex]\left(-a\right)^n=a^n[/tex]:
[tex]=3^4[/tex]
[tex]=81[/tex]
Can u guys PLEASE ANSWER this question ASAP
solve the simultaneous equations using the substitution method
3x+4y=11 and 7x-2y=3
In order to solve using substitution, we'll need to first isolate one variable in one equation. I will be using 7x - 2y = 3 and solving for y to begin.
7x - 2y = 3
-2y = -7x + 3
2y = 7x - 3
y = 3.5x - 1.5
Next, we'll plug in our value of y (found above) into the equation 3x + 4y = 11 and solve for x.
3x + 4(3.5x - 1.5) = 11
3x + 14x - 6 = 11
17x = 17
x = 1
Finally, we'll plug our value of x in to the first equation (7x - 2y = 3) and solve for y.
7(1) - 2y = 3
7 - 2y = 3
-2y = -4
y = 2
The solution to these equations is (1, 2).
Hope this helps! :)
the sum of two numbers is 39. the smaller number is 9 less than the larger number. what are the numbers?
Larger number-
Smaller number-
Answer:
Large - 24
Small - 15
Step-by-step explanation:
A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how long was the person leave the money in the bank until it reaches $19,200 dollars
Answer:
T is 13.9 years to the nearest 10th of a year
Step-by-step explanation:
In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.
To calculate the number of years, what we do is to use the compound interest formula.
Mathematically,
A = P(1+ r/n) ^nt
Where A is the final amount after compounding all interests which is $19,200 according to the question
P is the initial amount invested which is $10,000 according to the question
r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475
n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually
t= ?
we plug these values;
19200 = 10,000(1+0.0475/2)^2t
divide through by 10,000
1.92 = (1+0.02375)^2t
1.92 = (1.02375)^2t
We find the log of both sides
log 1.92 = log [(1.02375)^2t)
log 1.92 = 2tlog 1.02375
2t = log 1.92/log 1.02375
2t = 27.79
t = 27.79/2
t = 13.89 years
The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years
Write the equation of the line containing points (2, 1) and (3, 4) in slope−intercept form.
Answer:
The equation of the line is y = 3 x - 5.
Step-by-step explanation:
The slope intercept form of the equation of a straight line is:
[tex]y=mx + b[/tex]
Here,
m = slope
b = intercept.
The two points are:
A = (2, 1)
B = (3, 4)
Use two-point form method to determine the equation of straight line.
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
[tex](y-1)=\frac{4-1}{3-2}\ (x-2)[/tex]
[tex]y-1=3(x-2)\\y-1=3x-6[/tex]
[tex]y=3x-5[/tex]
Thus, the equation of the line is y = 3 x - 5.
The equation of the line in slope-intercept form is y = 3x - 5.
To find the equation of the line containing the points (2, 1) and (3, 4) in slope-intercept form (y = mx + b), you first need to determine the slope (m) and then use one of the points to solve for the y-intercept (b).
The slope (m) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Let's plug in the coordinates of the two points:
Point 1: (x1, y1) = (2, 1)
Point 2: (x2, y2) = (3, 4)
Now, calculate the slope (m):
m = (4 - 1) / (3 - 2)
m = 3 / 1
m = 3
Now that you have the slope (m), you can use one of the points, for example, (2, 1), and the slope to find the y-intercept (b). You can use the point-slope form of the equation:
y - y1 = m(x - x1)
Using the point (2, 1):
y - 1 = 3(x - 2)
Now, distribute the 3 on the right side:
y - 1 = 3x - 6
Next, add 1 to both sides to isolate y:
y = 3x - 6 + 1
Simplify:
y = 3x - 5
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Write the first four terms of a geometric sequence. Using the values you have written, calculate the common ratio and write the rule for the nth term. Show all calculations.
Answer:
FIRST FOUR (4) TERM = 6, 18, 54,162.
COMMON RATIO = 3
Step-by-step explanation:
In geometric expression.
Tn = the nth term
a = first term
r = common ratio.
Let's take the First term of the G.P as 6 and the third term as 54. Let's find the common ratio.
3rd term will be written as:
T3 = ar² = 54
Given the first term as 6.
T3 = 6r² = 54
6r² = 54
r² = 54 / 6
r² = 9
r= √9
r = 3
Therefore common ratio = 3.
Let's use this information to get the fourth term.
T4 = ar³
when a = 6
and r = 3.
T4 = 6 * 3³
T4 = 6 * 27
T4 = 162
The first four terms of the geometric sequence are [tex]\(a_1 = 5\), \(a_2 = 15\), \(a_3 = 45\), and \(a_4 = 135\).[/tex] The common ratio is r= 3 and the rule for the nth term is [tex]\(a_n = 5 \cdot 3^{(n-1)}\).[/tex]
To find the common ratio r of a geometric sequence, one divides a term in the sequence by the previous term.
Given the first four terms as [tex]\(a_1 = 5\), \(a_2 = 15\), \(a_3 = 45\), and \(a_4 = 135\),[/tex] we can calculate the common ratio using the first two terms:
[tex]\[ r = \frac{a_2}{a_1} = \frac{15}{5} = 3 \][/tex]
We can verify this by calculating the ratio of the third term to the second term:
[tex]\[ r = \frac{a_3}{a_2} = \frac{45}{15} = 3 \][/tex]
And again with the fourth term and the third term:
[tex]\[ r = \frac{a_4}{a_3} = \frac{135}{45} = 3 \][/tex]
Since the ratio is consistent across these terms, we can confirm that the common ratio r is indeed 3.
The rule for the nth term of a geometric sequence is given by:
[tex]\[ a_n = a_1 \cdot r^{(n-1)} \][/tex]
[tex]\[ a_n = 5 \cdot 3^{(n-1)} \][/tex]
This is the rule for the nth term of the given geometric sequence.
Hay dos veces la cantidad de manzanas que naranjas en un puesto de frutas. Después de que se vendieron 15 naranjas, hay tres veces la cantidad de manzanas que naranjas. ¿Cuántas manzanas había en el puesto al principio? 1 comentario de clase
There are 45 oranges and 90 apples in the beginning.
Step-by-step explanation:
Let the no. of orange be 'b'
Let the no. of apples be 'a'
Given that,
2b = a
3(b-15) = a
3b - 45 = a
3b - 45 = 2b
3b - 2b = 45
b = 45
2b = a
2(45) = a
a = 90
There are 45 oranges and 90 apples in the beginning.
A rugby player kicks a rugby ball 2 feet above the ground with an initial vertical velocity of 50 feet per second. The function h=−16t^2+50t+2 represents the height h (in feet) of the rugby ball after t seconds. Use a graphing calculator to estimate when the height of the rugby ball is 35 feet.
The graph clearly shows that the ball has a height of 35 feet at t = 0.947 s and 2.178 s.
A rugby player kicks a rugby ball 2 feet above the ground at a 50-foot-per-second starting vertical velocity. After t seconds, the height h of the rugby ball is given by:
h = -16t² + 50t +2 ......(1)
Here,
h is the height in feet, and t is the time in seconds
We must determine the time when the ball's height reaches 35 feet. (1) will be transformed into
h = -16t² + 50t +2 - 35
h = -16t² + 50t - 33.
Using the Desmos calculator, we can plot the graph of the preceding equation. The linked graph depicts the period when the rugby ball's height is 35 feet.
The graph clearly shows that the ball has a height of 35 feet at t = 0.947 s and 2.178 s.
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which of the following options have the same value as 60% of 94
60% of 94 is calculated by multiplying 94 by 0.60, which results in 56.4.
To find 60% of 94, you will multiply 94 by 0.60. Performing this calculation:
60% of 94 = 0.60 * 94
0.60 * 94 = 56.4
So, 60% of 94 equals 56.4.
4 times one number plus 3 times the other is 78. 3 times the first number minus 8 times the other is -45. What are the numbers?
Answer: the first number is 11 38/41
The second number is 10 4/41
Step-by-step explanation:
Let x represent the first number.
Let y represent the second number.
4 times one number plus 3 times the other is 78. It means that
4x + 3y = 78- - - - - - - - - -1
3 times the first number minus 8 times the other is -45. It means that
3x - 8y = - 45- - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 4. It becomes
12x + 9y = 234
12x - 32y = - 180
Subtracting, it becomes
41y = 414
y = 414/41
y = 10 4/41
Substituting y = 414/41 into equation 1, it becomes
4x + 3 × 414/41 = 78
4x + 1242/41 = 78
4x = 78 - 1242/41
4x = 1956/41
x = 1956/41 × 1/4
x = 1956/164
x = 11 38/41
What is the volume of this cube with a side length of 6 centimeters? A cube with side lengths of 6 centimeters. Recall the formula Cube volume = s cubed. 12 cubic centimeters 18 cubic centimeters 36 cubic centimeters 216 cubic centimeters
Answer:
you would multiple length base and height together and since they're all 6 centimeters you would multiply 6 by 6 by 6 and you get216 cubic centimeters
Hope this helps!
Step-by-step explanation:
The volume of a cube with a side length of 6 cm is 216 cm³. Since we know that volume of a cube is obtained by multiplying its side length three times.
Which formula is used for finding the volume of a cube?The volume of a cube is given as:
Volume = [tex]s^3[/tex]
Where 's' is the length of its side
Since all the side lengths of a cube are the same, the volume of a cube can be found by multiplying the edge length three times.
Calculating the volume of the given cube:Given that the length of the side of a cube is s=6 cm
Then, the volume of the cube is:
Volume = s³
= 6³
= 6 × 6 × 6
= 216 cm³
Therefore, the volume of the cube is 216 cubic centimeters.
So, option D is correct.
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Yuri has $220 in a savings account. If the savings account pays simple interest of 5%, how much interest will Yuri earn in 3 years?
Answer:$253
Step-by-step explanation: A=220(1+(0.05*3))=253
What is 4/5+1/3 as a mixed number
Answer:
1 and 2/15
Step-by-step explanation:
what is the surface area of the prism? 8ft,4ft and 4ft
Answer:160
Step-by-step explanation:
4*4=16
16+16=32
8*4=32
32*4=128
128+32=160
Solve for x ? Help me please
Heather built a geometrically similar model of the great pyramid. The height of the actual pyramid is approximately 147 meters. Heathers model is 98 millimeters in height. The width of the base of the actual pyramid is 231 meters. Which measurement is closest to the width of the base of Heathers model?
Answer:
154 millimeters
Step-by-step explanation:
Answer:
154
Step-by-step explanation:
Plato test said i was right
what is -1/3 (9x + 42) - 5x = -70
Answer:
The answer is x= 7 good luck though. also what you want to do it get the x's together and also get rid of the 42
Use the equation n2 + n = 56 to determine which figure has 56 blocks.
Answer:
7
Step-by-step explanation:
it is the 7th figure
Can you help me find the answer
Answer:
7x7x7x7x7
7x7
Step-by-step explanation:
7 to the fifth power is equal to 7x7x7x7x7
7 to the second power is equal to 7x7
Answer:
D, (7 x 7 x 7 x 7 x 7) / (7 x 7)
Step-by-step explanation:
Look at the numerator of the fraction. You will see 7^5, or 7 to the 5th power. This means you must multiply 7 by itself 4 times, to get yourself the numerator of 7 x 7 x 7 x 7 x 7. This means your choices are B (or the second option from the top) or D (or the last option from the top).
However, take note that your original equation is a fraction, meaning you would divide, and not multiply. This means B, or the second option, is incorrect, because they are multiplying in that expression, when a fraction means to divide.
Your only other option is D, where they have portrayed both 7 to the fifth correctly in the numerator, and then 7 squared in the denominator.
Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?
Answer:
18
Step-by-step explanation:
It is 18 because 14 x 2 equal 28 so that would mean you need one stick to make 2 pizzas. Then you divide 36 by 2 and get 18
Pat needs 18 sticks of pepperoni to make 36 pizzas
What is unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units
How to find how many sticks of pepperoni are needed to make 36 pizzas?According to the problem,
Pat needs 14 sticks of pepperoni to make 28 pizzas.Using unitary method,
To make 28 pizzas Pat needs 14 sticks of pepperoni.
∴ To make 1 pizza, Pat need [tex]\frac{14}{28}[/tex] sticks of pepperoni
∴ To make 36 pizzas, Pat needs [tex]\frac{(14)(36)}{28}[/tex] sticks = 18 sticks of pepperoni
So, Pat needs 18 sticks of pepperoni to make 36 pizzas
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the probability of picking a red marble is 1/5 what are the odds of getting a red marble?
Answer:
20% or 1/5
Step-by-step explanation:
20% is equal to 1/5. That means that out of 5 marbles, there is only 1 red one.
There are 24 candy-coated chocolate
pieces in a bag. Eight have defects in the
coating that can be seen only with close in-
spection. What is the probability of pulling
out a defective piece without looking?
Answer:
1/3
Step-by-step explanation:
given a soda ca with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?
Answer:
The volume of a cone that fits perfectly inside the soda can is 7.
Volume of a can:
21 = r² π h
21 = 3² π h
21 = 9 π h
h = 21/ 9π = 7/ 3π
Volume of a cone that fits perfectly inside a can:
V = 1/3 r² π h = 1/3 · 9 π · 7 / 3π = 7
Or you can use: V cone = 1/3 V cylinder ( with the same basis )
V cone = 1/3 * 21 = 7
Step-by-step explanation:
Since we have given that
Volume of soda can = 21
Diameter of can = 6
As we know the formula for "Volume of cylinder:"
Now, we have to find the volume of a cone that fits perfectly inside the soda can.
so, its radius will be 3 cm and height will be
As we know the formula for "Volume of cone":
Hence, the volume of a cone that fits perfectly inside the soda can is 7.
Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for more or less than 4 hours.
Answer:
Lily babysit for less than 4 hours.
Step-by-step explanation:
Given:
Lucy spends in a week babysitting for 4 hours.
Lily spends seven-eighths of 4 hours.
Now, to find whether Lily babysit for more than 4 hours or less than that.
Number of hours Lucy babysit = 4 hours.
So, to get the hours Lily babysit:
[tex]\frac{7}{8}\ of\ 4\ hours.[/tex]
[tex]=\frac{7}{8}\times 4\\\\=\frac{28}{8} \\\\[/tex]
On simplifying we get:
[tex]=\frac{7}{2} \\\\=3\frac{1}{2}\ hours.[/tex]
Thus, Lily spends [tex]3\frac{1}{2}\ hours[/tex] for babysitting which is less than 4 hours.
Therefore, Lily babysit for less than 4 hours.
Lily babysits for 3.5 hours weekly, which is less than Lucy's 4 hours of babysitting.
Explanation:Lucy spends 4 hours a week babysitting, and Lily spends seven eighths as much time babysitting. To calculate how much time Lily spends, we multiply Lucy's hours by seven eighths:
4 hours × (7/8) = 28/8 hours = 3.5 hours.
So, Lily babysits for 3.5 hours a week, which is less than 4 hours.
What is the interquartile range of this set of data?
15, 19, 20, 25, 31, 38, 41
Explanation:
If the data wasn't sorted, then the first step would be to arrange the elements from smallest to largest. However, that is already done for us.
The middle most value in the set {15, 19, 20, 25, 31, 38, 41} is 25 because there are three values below it {15,19,20} and three values above it {31,38,41}
Focus on the lower half {15,19,20} and note the middle of this subset is element 19. This is the value of Q1 or the first quartile.
The third quartile Q3 is 38 because the middle of the upper half data set {31,38,41} is 38.
We now subtract the values of Q3 = 38 and Q1 = 19 to get the interquartile range (IQR)
IQR = Q3 - Q1 = 38 - 19 = 19
Answer:
19
Step-by-step explanation:
Hope this helps and I got it right on the quiz on edge
How can you decompose the composite figure to determine its area
1 as two triangles, two rectangles, and two semicircles
2 as a trapezoid, a rectangle, and two semicircles
3 as a regular hexagon, a rectangle, and two squares
4 as a trapezoid, a rectangle, and two squares
Answer:
4 as a trapezoid, a rectangle, and two squares
Step-by-step explanation:
The diagram below is a composite figure .To determine it area the composite figure can be decomposed into various shapes.
The shapes it can be decomposed are a trapezoid , a rectangle and 2 squares.
The top side of the composite figure forms a trapezoid . A trapezoid is a quadrilateral with one pair of parallel sides. It is also known as trapezium.
The shape below the trapezoid can be cut into a rectangle .A rectangle is a quadrilateral with opposite sides equal in length and are also parallel.
The two shapes formed below the rectangle are squares. Squares are quadrilaterals with all sides equal in length and opposite sides are parallel.
Answer:
D
Step-by-step explanation:
A trapezoid has an area of 95 square meters. If the bases are 7 meters and 12 meters, what is the height of the trapezoid? Formula: h = 2A / b1 +b2?
a.15meters
b.13meters
c.10m
pls answwerrr asap plssss answer asap
Answer:
answer is c
Step-by-step explanation:
Formula: h=2A/b1+b2
95(2)/(7+12)=h
190/19=h
10m=h
answer is c
What is the total amount of money earned if $5,000 was in a savings account for three years at 2.5% interest
Answer:
Daily: $5,389.41
Monthly: $5,389.00
Semi-annually: $5,386.92
Annually:$5,384.45
Step-by-step explanation:
someone help please, i will give BRAINLIEST if your answer is correct
Answer:
B) 65°
Step-by-step explanation:
The formula for this would be x = 1/2 (a -b)
X being the angle you're trying to find
a being the larger arc and b being the smaller arc
Since a circle has 360°, and 245 is the larger arc, the smaller arc would be 115°
Now, just plug that into the equation; x = 1/2 (245-115)
This gives you x = 1/2 (130)
x = 65°