Answer:
925.04cm²
Step-by-step explanation:
Curved surface area of a cylinder = 2πrh
r is the radius
h is the height
If the sum of the radius of the base and height of the cylinder is 21 cm, then;
r + h = 21
r = 21-h..... 1
Recall:
CSA = 2πrh
616 = 2πrh ....2
Substitute equation 1 into 2;
616 = 2π(21-h)h
616 = 2π(21h-h²)
616 = 42(3.14)h - 2(3.14)h²
616 = 131.88h - 6.28h²
98.09 = 21h - h²
h²-21h+98.09 = 0
h = 21±√21²-4(98.09)/2
h = 21±√441-392.36/2
h = 21±√48.64/2
h = 21±6/97/2
h = 21+6.97/2 and 21-6.97/2
h = 27.97/2 and 14.03/2
h = 13.985 and 7.015
Since r = 21-h
r = 21 - 13.985
Using r = 7.015
The total surface area = 2πrh + 2πr²
The total surface area = 616 + 2(3.14)7.015²
The total surface area = 616 + 309.04
The total surface area = 925.04
Hence the total surface area of the cylinder is 925.04cm²
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
[tex]\displaystyle m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 8)
Point (5, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=3[/tex]Answer:
3
Step-by-step explanation:
-3/-1 = 3
the slope of a line passing through (6,8) and (5,5) is 3.
Mia is drawing an angle that is made up of 35 one-degree angles. How many degrees is Mia's angle?
Answer:
35 degrees
Step-by-step explanation:
add all the one degrees together
In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?
does anyone know this i will give brainliest
Answer: 1/4 is the answer I was given in my work.
Step-by-step explanation:
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
Can some help thx.
Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.
Answer: Eva could have 6 dimes and 10 quarters.
y≤18−x
y≥12− 2/5x
Step-by-step explanation:
x+y≤18
0.10x+0.25y≥3
Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
What is the result of adding these two equations?
-52 - 9y = 3
5.2 - 9y = -2
Answer:
5.7-18y=1
Step-by-step explanation:
52-9y=3
5.2-9y=-2
or,57.2-18y=1
Answer:
-18y = 46.8
Step-by-step explanation:
Adding Left hand side elements together as well as right hand side
Eq1 = equation 1
Eq2 = equation 2
LHS(left hand side of the equation)
RHS(right hand side of the equation)
LHS of Eq1 + LHS of Eq2 = RHS of Eq1 + RHS of Eq2
-52 -9y + 5.2 -9y = 3 - 2
=> -9y -9y - 52 + 5.2 = 1
=> -18y - 46.8 = 1
=> -18y - 46.8 = 0
=> -18y = 46.8
A store pays $119 for a scooter. The store marks up the price by 40%.
What is the new price (nearest penny)?
Answer:
Step-by-step explanation:
if the store marks up the price by 40%
119*(40/100)=47.60
119+47.60=166.60
1. How many odd positive integers less than 50 are there?
Answer:
25
Step-by-step explanation:
At the store for every 2 movies sold there 8 books sold. What is the radio of books sold to movies sold?
Answer:
The ratio of books sold to movies sold at the store is 4:1.
Step-by-step explanation:
Given that:
Number of movies sold at the store = 2 movies
Number of books sold at the store = 8 books
Ratio of books sold to movies sold at the store is
Books sold : Movies sold
8 : 2
[tex]\frac{8}{2}:\frac{2}{2}[/tex]
4 : 1
Hence,
The ratio of books sold to movies sold at the store is 4:1.
Solve the inequality.
140 < -20j
Answer:
J < -7
Explantion:
Rewrite so J is on the left side
-20j > 140
Divide each term by -20 and simplify
j < -7
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answer:
Car A
Step-by-step explanation:
All you have to do is find the rate of change
Distance Gallons
300 8
320 10
Car A
300 : 8
37.5 : 1
Car B
320: 10
32 : 1
37.5 > 32
So Car A gets the better gas mileage.
Hope this helped!
If I triple ____ and divide the result by 6,the quotient is 18
options
32
36
63
64
Answer:36
Step-by-step explanation: i did the math
How many solutions does -3x+15=3(5-x) have
Answer:
Infinite solutions
Step-by-step explanation:
So if simplified it would be
-3x+15=15-3x
Which is basically the same thing if arranged
15-3x=15-3x
-3x+15 can also be 15-3x still the same thing as adding 15 to -3x
So since these are equal anything could be used
like try 0
Both get 15
Try 1
Both get 12
Try legit any number
youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)
What decimal represents 1/4
help pls due today pls
Answer:
6.5y + 10
Step-by-step explanation:
Combine like terms:
0.5y + 6.5y - 0.5y + 10.5 - 0.5
= 6.5y + 10
Answer:
Step-by-step explanation:
0.5y+10.5+6.5y-0.5-0.5y=
6.5y+10
PLZ PLZ HELP PLZ PLZ ILL GIVE BRAINLYEST
what is 24x83x2x16+5676
OMG ITS A FUNNY NUMBER
HAHAHAHHA
cringe, cringe, cringe, cringe, cringe
In 2013 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mrs. Rowland takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening
Answer:
0.032% probability of this happening
Step-by-step explanation:
Since the distribution is very large(10,000 skittles), and there are only two possible outcomes(either the Skittles is green or it is not) we can use the binomial probability distribution as an approximation.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Handful of 5 skittles:
This means that [tex]n = 5[/tex]
20% of the Skittles are green
This means that [tex]p = 0.2[/tex]
What is the probability of this happening?
Probability of all skittles being green, so [tex]P(X = 5)[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.2)^{5}.(0.8)^{0} = 0.00032[/tex]
0.032% probability of this happening
tan A = 1/5 and tan B = 1/4
Find tan 2 (A-B)
Given:
[tex]\tan A=\dfrac{1}{5}[/tex]
[tex]\tan B=\dfrac{1}{4}[/tex]
To find:
The value of [tex]\tan^2(A-B)[/tex].
Solution:
We know that,
[tex]\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}[/tex]
Putting the given values, we get
[tex]\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}[/tex]
[tex]\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}[/tex]
[tex]\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}[/tex]
[tex]\tan (A-B)=\dfrac{-1}{21}[/tex]
Taking square on both sides, we get
[tex]\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2[/tex]
[tex]\tan^2 (A-B)=\dfrac{1}{441}[/tex]
Therefore, the value of [tex]\tan^2(A-B)[/tex] is [tex]\dfrac{1}{441}[/tex].
Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)
answer:c)x-intercept:(-15,0) and y-intercept(0,3)
Step-by-step explanation:
x -5y= -15
x = -15
(-15,0)
y = -15 / -5
=3
(0,3)
Mary is paid $600 for 5 days of work. How much is she paid per day
Answer:
$120
Step-by-step explanation:
Helppp this is timed!!
Answer:
The answer must be D
Step-by-step explanation:
When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.
17 = 3j + 2
Can some please help me?
evaluate 1/3y+8/15 when y=1/5
Pls help fast! Will mark first correct answer as brainliest!!!
Answer:
the first one is 267% and 400%
Step-by-step explanation:
but i don't know for the 2nd
Answer:
2/3 is 266.666667% of 1/4
2/3 is 400% of 1/6
Step-by-step explanation:
You just need to divide the second number by the first:
2/3 ÷ 1/4 = 2/3 · 4 = 2 2/3 which, in a percentage, is 266.666667.
2/3 ÷ 1/6 = 2/3 · 6 = 4 and 4 as a percentage is 400%
SECOND PAGE:
11.25 is 3333.3333333333% of 375
11.25 is 20% of 556.25
Find the unit vector in the direction of the vector <3,-1>
Answer:
Step-by-step explanation:
v=<3,-1>
[tex]||v||=\sqrt{x^{2} +y^{2} } \\\sqrt{(3)^{2}+(-1)^{2} } \\\sqrt{9+1} =\sqrt{10} \\u=\frac{1}{||v||} *v\\u=\frac{1}{\sqrt{10} } *<3,-1>\\u=<\frac{3}{\sqrt{10} } ,-\frac{1}{\sqrt{10} } >\\[/tex]
help asp
An owner of a pizza stand sold small slices of pizza for 15 cents each and large slices for 25 cents each. One night he sold 500 slices for total of $105. How many small slices of pizza did she sell?
______________ S=________
______________ L=________
Answer:
i really dunonjust need tho points sorry but have a blessed Dayyy
Step-by-step explanation:
The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm
Answer:
C, Length = 39.4 cm; width = 7.9 cm
Step-by-step explanation:
The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)
The length is 4 times w plus 7.8.
So: 2w+2(4w+7.8)=94.6
= 2w+8w+15.6=94.6 (Factor out the brackets)
= 10w+15.6=94.6 (Combine like terms)
= 10w=79 (Subtract 15.6 from both sides)
= w=7.9 (Divide both by 10).
So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)
Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).
Answer:
We conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The slope of the line = m = -3The point = (13, 4)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -3 and the point (13, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 4 = -3(x-13)[/tex]
Add 4 to both sides
[tex]y-4+4=-3\left(x-13\right)+4[/tex]
Simplify
[tex]y=-3x+43[/tex]
Therefore, we conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.