The surface area of the cylinder is [tex]\( 72\pi \)[/tex] or approximately [tex]\( 227.836 \)[/tex] square units when using [tex]\( \pi \approx 3.143 \)[/tex].
The surface area of a cylinder can be calculated using the formula:
[tex]\[ \text{Surface Area} = 2\pi r^2 + 2\pi r h \][/tex]
where [tex]\( r \)[/tex] is the radius of the base and [tex]\( h \)[/tex] is the height of the cylinder.
Given the base radius [tex]\( r = 4 \)[/tex] and the height [tex]\( h = 5 \)[/tex], we can substitute these values into the formula:
[tex]\[ \text{Surface Area} = 2\pi (4)^2 + 2\pi (4)(5) \][/tex]
[tex]\[ \text{Surface Area} = 2\pi (16) + 2\pi (20) \][/tex]
[tex]\[ \text{Surface Area} = 32\pi + 40\pi \][/tex]
[tex]\[ \text{Surface Area} = 72\pi \][/tex]
Now, if we use the approximation[tex]\( \pi \approx 3.143 \)[/tex], the surface area becomes:
[tex]\[ \text{Surface Area} \approx 72 \times 3.143 \][/tex]
[tex]\[ \text{Surface Area} \approx 227.836 \][/tex]
What are the solutions of 2x2 - 6x + 5 = 0 ?
Final answer:
(Option C: (3 + i)/2 and (3 - i)/2
The solutions to the quadratic equation 2x^2 - 6x + 5 = 0 are 1.5 + 0.5i and 1.5 - 0.5i, as the discriminant is negative and indicates there are no real solutions, only complex ones.
Explanation:
The solutions of the quadratic equation 2x2 - 6x + 5 = 0 can be calculated using the quadratic formula, which is:
x = (-b ± √(b2 - 4ac)) / (2a)
For the given equation, a = 2, b = -6, and c = 5. Plugging these values into the quadratic formula, we get:
x = (6 ± √((-6)2 - 4(2)(5))) / (2(2))
x = (6 ± √(36 - 40)) / 4
x = (6 ± √(-4)) / 4
Since the discriminant (b2 - 4ac) is negative, this equation has no real solutions and two complex solutions. The final solutions are:
x = (6 ± 2i) / 4
x = (3 ± i)/ 2
x = 1.5 ± 0.5i
The solutions are 1.5 + 0.5i and 1.5 - 0.5i.
How can you determine the period of a graph
Answer:
You need to find the cycle. It will be easier to show if a graph with it was shown
Step-by-step explanation:
Answer:
You need to find a cycle of the graph. But there is no graph. Download the graph to this page. Have a great day
Step-by-step explanation:
Find the radius of a circle with area equal to 153.86 square feet.
R = ?
Answer:
7 feet
Step-by-step explanation:
The area of a circle can be found using:
a=3.14*r^2
We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.
153.86=3.14*r^2
Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14
153.86/3.14=3.14*r^2/3.14
153.86/3.14=r^2
49=r^2
Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .
√49=√r^2
√49=r
7=r
The radius is 7 feet
The radius of the circle with an area of 153.86 square feet is approximately 7 feet.
How to determine the radius of a circle with area equal to 153.86 square feet.To find the radius of a circle given its area, you can use the formula:
Area = π * r^2
In this case, we are given the area as 153.86 square feet.
153.86 = π * r^2
To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:
153.86 / π = r^2
Now, take the square root of both sides to find r:
r = √(153.86 / π)
Using a calculator or approximating the value of π as 3.14, we can calculate:
r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7
Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.
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$5 PAYPAL + BRAINLIEST TO ANSWER THS
1) Please Rewrite this quadratic equation to
Standard Form: 3x^2=2x +5
2) Using your answer from 1): Assign values of a, b and c based on the
Standard Form of a Quadratic Equation
3) Find the value of the discriminant by substituting a,b and c from 2) and evaluating **Discriminant: ( )^2-4( )( ) = ?? **
4) Based on the discriminant, what type of solutions can we expect for this quadratic equation? Use complete sentences and proper grammar
IF ANSWERED PROPERLY I WILL MESSAGE YOU ASKING FOR YOUR PAYPAL EMAILING ADDRESS THANK YOU!
Answer:
Quadratic Equation:
[tex]3x^2=2x +5[/tex]
[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]
From the standard form of a Quadratic Function, we get:
[tex]a=3,\:b=-2,\:c=-5[/tex]
Discriminant:
[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]
[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]
[tex]\Delta=64[/tex]
From the discriminant, we conclude that the equation will have two real solutions.
State that:
[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]
[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]
[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]
By the way, solving the equation given:
[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]
[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]
[tex]$x=\frac{2\pm8}{6}$[/tex]
[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]
[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]
Which of these is an equation?
A
9x - 7
B
(b + 7) x 3
C
4x + 9 = 45
D
(⅔)x - 3 > c
The equation is 4x + 9 = 45 which is the correct answer would be option (C).
What is the equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, separated by an equal sign (=). The left side and the right side of the equation can contain variables, constants, and mathematical operations.
Option A: 9x - 7 is not an equation because it does not have an equal sign.
Option B: (b + 7) x 3 is not an equation because it does not have an equal sign.
Option C: 4x + 9 = 45 is an equation because it has an equal sign and shows that the left side and the right side are equal.
Option D: (⅔)x - 3 > c is not an equation because it does not have an equal sign. Instead, it is an inequality, which shows that one expression is greater than or less than another expression.
Hence, the correct answer would be an option (C).
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In art class, the students were asked to draw a circle inside the square shown in the figure such that each of the sides of the
square is tangent to the circle at its midpoint. A student determined the center of the circle to be C(-2,0) and the radius to be
= 4. Evaluate the student's answer.
A. The student completed the assignment correctly.
B. The student did not complete the assignment correctly. The center is the origin.
C. The student did not complete the assignment correctly. The radius is n = 5.
D. The student did not complete the assignment correctly. The center is located at CC-2,4).
Answer:
a is the correct answer
Which events are mutually exclusive ? Choose all that apply
The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.
Mutually exclusive means that a combination of occurrences can never occur.
a) landing on a number greater than three while in a shaded area:
This is possible; for example, you could land in the 4.
b) landing in an even number on a dark sector.
Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.
c) uncolored and odd number
This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.
d) Landing on a shaded sector and landing on the number three
Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.
e) Landing on an unshaded sector with a number less than two.
Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.
What is the length of the hypotenuse of the triangle below
Answer:
E (10)
Step-by-step explanation:
In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:
so 5√2 * √2 = 10
ANSWER: 10 or E
What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.
Answer:
60
Step-by-step explanation:
sin(theta) = sqrt(3)/2
On the calculator:
Press shift
Press sin
(It will show sin^-1)
Then enter sqrt(3)/2
Press =
It will give you an output of 60
Step-by-step explanation:
Step 1: Find the answer
To find sine, that means we need to find the y-value where it equals √3/2.
If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2. So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle. The angle that will fit this will be 60 degrees.
On you calculator, you should have a sin and you just type in something like this: sin(60) and it should give you √3/2.
Answer: Option A, 60
Identify the equation of the function. y=sqrt x-1+3
Answer: A
Step-by-step explanation:
Edg
The rule is applied to ΔFGH to produce ΔF"G"H". What are the
coordinates of vertex F" of ΔF"G"H"?
(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)
Answer:
A - (4, –1.5)
Step-by-step explanation: Hope it helps :D
Answer:
Its A
Step-by-step explanation:
Took the quiz on Edgenunity
what is 6x-6 degrees
The expression '6x - 6 degrees' is a linear algebraic function possibly related to geometry, where degrees might denote the measure of an angle.
Explanation:The expression 6x - 6 degrees represents a linear function where x is typically a variable that stands for an unknown value to be determined, or it can represent an input into the function. The term degrees suggests that it may be related to angles in a geometric context. This expression simplifies to 6 times x minus 6 degrees, where the degrees could represent the measurement of an angle in geometry, or possibly a temperature dependent on the context, which is not provided here. When dealing with geometric problems, one often converts these expressions to a standard measurement, such as converting to radians or using decimal degrees for precision.
Can you please help me
Answer:
B 6/13 times 5/12 equals 5/26
Step-by-step explanation:
if the total marbles are 13, then 13 has to be the denominator
they said that 2 orange marbles are selected
then it is 6/13 times 5/13
Hopes this helps
Answer:
I think it is C
Step-by-step explanation:
I am right
30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the volume of a rectangular prism with the following dimensions?
h = 2 ft, w = 5 ft, I = 7 ft
ANWSERS
o 28 ft3
o 70 ft3
o 90 ft3
o 118 ft3
plssssss help
Answer:
2 x 5 x 7= 70. Answer is B. o 70ft3. Have a great day
Step-by-step explanation:
Answer:
70 ft3
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used.
Calculate the interest earned on each simple interest account given the original principal, annual interest rate, and length of time the account
was held. Match each amount to the corresponding account description.
$124.74
$99.66
$105.60
$126.72
$143.50
$106.60
$1,100 at 3.2% for 3 years
$990 at 3.15% for 4 years
$1,025 at 2.8% for 5 years
Answer:
$1,100 at 3.2% for 3 years -> $105.60
$990 at 3.15% for 4 years -> $124.74
$1,025 at 2.8% for 5 years -> $143.5
Step-by-step explanation:
Simple interest formula is:
A = P*(1 + r*t)
where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years
Interest earned is A - P, then:
I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t
If P = $1100, r = 0.032 and t = 3, then:
I = 1100*0.032*3 = $105.6
If P = $990, r = 0.0315 and t = 4, then:
I = 990*0.0315*4 = $124.74
If P = $1025, r = 0.028 and t = 5, then:
I = 1025*0.028*5 = $143.5
Answer:
Picture below
Step-by-step explanation:
Number five Please I really need it
Which of these strategies would eliminate a variable in the system of equations?
( 6x + 5y = 1
16x - 5y = 7
Choose all answers that apply:
Answer:
B) Subtract the bottom equation from the top equation.
C) Add the equations.
Step-by-step explanation:
Let us analyze each of the options to see which one of them work.
A) Multiply the top equation by 7, then subtract the bottom equation from the top equation.
Multiplying the top equation by 7 gives:
7 * (16x + 5y) = (1 * 7)
112x + 35y = 7
Then, subtracting the bottom equation from this:
112x + 35y = 7
- (16x - 5y = 7)
=> 112x + 35y - 16x + 5y = 7 - 7
112x - 16x + 35y + 5y = 0
96x + 40y = 0
This method didn't eliminate any variable, so it didn't work for us.
B) Subtract the bottom equation from the top equation
This will yield:
16x + 5y = 1
- (16x - 5y = 7)
=> 16x + 5y - 16x + 5y = 1 - 7
16x - 16x + 5y + 5y = -6
0x + 10y = -6
10y = -6
y = -6 / 10
Hence, one variable has been eliminated. It works.
C) Add the equations
This yields:
16x + 5y = 1
+ 16x - 5y = 7
32x + 0y = 8
32x = 8
=>x = 8 / 32 = 1 / 4
This method works since one variable has been eliminated.
Please answer for a chance to be entered in the iphone 11 pro giveaway!!!
Sponsered by Beyonce Carter !!!!!!!!!!!!!!!!!!!!!
Answer:
5.8<x<6.0 I think
Step-by-step explanation:
why?
Evaluate the expression. −3/(−3)^2
Answer:
0.33....(1/3
Step-by-step explanation:
-3/-3*-3
-3/9
-0.33..
What should be true about the divisor (the number you are dividing by) in order for synthetic division to be
pretty straightforward?
Answer:
In order for synthetic division to be pretty straightforward, the divisor must be of the first degree (that is, the power of x must be exactly one.) and must have the binomial form x - a.
Unlike Long Division which makes use of the polynomials given directly, Synthetic Division makes use of the coefficients of this polynomials.
find the distance bewtween the points (3,3) and (-1,-2)
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]\sqrt{(3-(-1))^2+(3-(-2))^2}=\sqrt{16+25}=\sqrt{41}[/tex]
Hope this helps!
What is the area of a circle that has a circumference of 37.7?
A. 113.1 yd ^2
B. 95.yd ^2
c.315.8 yd ^2
Brainliest to the best explanation.
Answer:
A. 113.1 yd^2
Step-by-step explanation:
2 × 22/7 × radius = 37.7 yd
radius = 37.7 × 7/44
= 5.9977 yd
Area = 22/7 × radius × radius
= 22/7 × 5.9977^2
= 113.056 yd^2
DAY 27, MAY 7, 2020
If 5x + 6 = 10, what is the value of 10x + 3 ?
А) 4
В) 9
C) 11
D) 20
ОА
Ов
Answer:
The answer is C.
Step-by-step explanation:
In order to find the value of expression, you first have to solve x by substracting 6 to both sides then divide it by 5 :
[tex]5x + 6 = 10[/tex]
[tex]5x + 6 - 6 = 10 - 6[/tex]
[tex]5x = 4[/tex]
[tex]5x \div 5 = 4 \div 5[/tex]
[tex]x = \frac{4}{5} [/tex]
Next, you have to substitute the value of x into the expression :
[tex]let \: x = \frac{4}{5} [/tex]
[tex]10x + 3[/tex]
[tex] = 10( \frac{4}{5} ) + 3[/tex]
[tex] = 8 + 3[/tex]
[tex] = 11[/tex]
YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?
Answer:
5/6 of an hour is 50 minutes.
2/3 of an hour is 40 minutes.
0.25 of an hour is 15 minutes.
Find the area of the regular polygon with the given radius or apothem. Why is the area?
Answer:56.52
Step-by-step explanation:2x3.14=6.28
6.28x3=18.84
18.84x3=56.52
The area of the given polygon is 11.7 cm².
Given is an equilateral triangle with radius of 3 cm, we need to find the area of the polygon,
The radius of a circumcircle of an equilateral triangle is equal to a/√3, where a is the side length of the equilateral triangle.
So,
a/√3 = 3
a = 3√3
Now the side length is 3√3 cm.
Now, the area of an equilateral triangle is:
A = √3 / 4 × side²
= √3 / 4 × (3√3)²
= √3 / 4 × 27
= 11.7 cm²
Hence the area of the given polygon is 11.7 cm².
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Calculate the value of x.
~ There is a hint but.... I stil don’t understand so can someone just do it for me and explain it? :3
Answer:
x= 103°
Step-by-step explanation:
The angle next to angle x is 77° because it is a corresponding angle to the original 77° angle (corresponding angles is basically a pair that lies in the same position as each other, as is the case with the 77° angle and the angle to the right of x°).
Now that we know that the adjacent angle to x is 77°, you can find x. Note that the line x and 77° are lying on is parallel. This means that they are supplementary angles, which means that the sum of both angles is equal to 180°. Insert this into an equation:
[tex]180=x+77[/tex]
Solve for x. Use inverse operations to subtract 77 from both sides:
[tex]180-77=x+77-77\\\\180-77=x[/tex]
Simplify subtraction:
[tex]103=x[/tex]
x is 103°.
A convenience store requires that you spend $4 or more if you want to pay
using a debit card. Donuts cost $0.80 each, and a cup of coffee cost $1.20.
If you will be buying a cup of coffee and donuts and you will be using
your debit card to pay, which inequality represents this situation? What is
the least amount of donuts you would need to buy in order to pay with
your debit card?
Answer:
4 Doughnuts
Step-by-step explanation:
.80+.80+.80+.80+1.20=4.40. You can't buy half a doughnut.
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit
Answer:
d
Step-by-step explanation:
Answer:
d. Checking account, savings account, money market account, CD
In a bag there are three red, four white, and five blue marbles. Once a marble is selected, it is not replaced. Find the probability of getting a white and a red marble
Answer:
1/119
Step-by-step explanation:
(3×4×5)+[(3×4×5)-1)
60+(60-1)
60+59
119
1/119
can someone help please?
Answer: 19
Step-by-step explanation: