Answer:
V = 141.37 cm³
Surface area = 150.80 cm²
Step-by-step explanation:
Answer:
V = 141.37 cm³
Surface area = 150.80 cm²
i. Doubling the radius to 6 cm, while the height remains 5
Step-by-step explanation:
Given that :
Radius, r = 3cm
Height, h = 5cm
Volume, V of right cylinder :
V = πr²h
V = π * 3² * 5
V = 141.37166
V = 141.37 cm³
Surface Area :
2πr(h + r)
2 * π * 3(3 +5)
18.849555(8)
150.79644
= 150.80 cm²
Volume at r = 6 ; h = 5
V = π * 6² * 5
V = 565.48667 cm³
Volume at r = 3 ; h = 15
V = π * 3² * 15
V = 424.11500 cm³
Answer:
See below
Step-by-step explanation:
Part A
The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex] with [tex]r[/tex] being the radius and [tex]h[/tex] being the height:
[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(7)(3)+2\pi(7)^2\\\\SA=2\pi(21)+2\pi(49)\\\\SA=42\pi+98\pi\\\\SA=140\pi[/tex]
Therefore, the surface area of the given cylinder is 140π cm².
Part B
The volume of a cylinder is [tex]V=\pi r^2h[/tex]:
[tex]V=\pi r^2h\\\\V=\pi (7)^2(3)\\\\V=\pi(49)(3)\\\\V=147\pi[/tex]
Therefore, the volume of the given cylinder is 147π cm³.
Part C
The first cylinder would have a volume of [tex]V_1=\pi(14)^2(3)=\pi(196)(3)=588\pi cm^3[/tex]
The second cylinder would have a volume of [tex]V_2=\pi (7)^2(9)=\pi(49)(9)=441\pi cm^3[/tex]
Therefore, the first cylinder with a radius of 14cm and a height of 3cm gives a greater volume of 588π cm³.
What's the answer for each???
3.12 x 3.6 = ?
7.65 x 9.3 = ?
0.3 x 0.9 = ?
Answer: Listed Below
Step-by-step explanation:
3.12 x 3.6 = 11.232
7.65 x 9.3 = 71.145
0.3 x 0.9 = 0.27
According to police sources, a car with a certain protection system will be recovered 86% of the time. Find the probability that 5 of 6 stolen cars will be recovered
Please help
Answer:
0.01145
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The sum of 8 and w
Answer:
8 + w
The sum of 8 and w.
p(x)=ax-b p(1)=5 and p(2)=4 a+b=?
HELP ME PLEASE
im not really sure about this since i think you can just stop at equation 1
add the binomial (8a + 3) + (a + 2)
Answer:
9a+5
Step-by-step explanation:
We add only like terms:
8a+a=9a
3+2=5
9a+5
So 9a+5 would be our final answer
Brian invests £990 into his bank account. He receives 5.2% per year simple interest.
How much will Brian have after 2 years? Give your answer to the nearest penny where
appropriate.
Answer:
$1092.96
Step-by-step explanation:
Based on the given conditions, formulate: 990 × ( 1 + 2 × 5.2% )
Calculate the product or quotient: 990 × ( 1 + 0.104 )
Calculate the sum or difference: 990 × 1.104
Calculate the product or quotient: 1092.96
Round the number: 1092.96
Answer: $1092.96
What is the surface area of this right triangular prism? Enter your answer in the box. in²
The surface area of the right triangular prism = 720 in²
What is the Surface Area of Triangular Prism?Surface area of triangular prism = (Perimeter of the triangular base × length of the prism) + (2 × triangular base area)
= (S1 +S2 + S3)L + (bh)
Thus:
S1 = 13S2 = 13S3 = 24L = 12b = 24h = 5Substitute
Surface area of triangular prism = (13 + 13 + 24)12 + (24)(5)
Surface area of triangular prism = 720 in²
Learn more about surface area of triangular prism on:
https://brainly.com/question/16147227
Answer: The answer is 1200
Explanation: In took the test and it was right
X(y+6)-5(y+6)=( )(y+6)
Answer:
(x - 5)(y + 6)
Step-by-step explanation:
Hello!
Let's see. Over here we have two sides of an equation with blank space on the right-hand side. It seems that the topic of the question is factoring.
On the left-hand side, we see that 1 factor is common between two other factors (x and -5). To simplify, we can simply add the two values.
x(y + 6) - 5(y - 6) would be the same as (x-5)(y-6) => your answer
We can check if our equation is true.
x( y + 6) - 5(y + 6) = (x-5)(y + 6)
xy + 6x - 5y -30 = xy - 5y + 6x - 30
xy + 6x - 5y - 30 = xy + 6 - 5y - 30
Both equations are the same
a. If the dog house is 8 inches wide on the scale drawing, how wide is the
dog house in real life?
feet
Answer: If the dog can fit in there it’s not a problem u don’t need to know the inches that’s what she said
Step-by-step explanation:
An item on sale costs 25% of the original price. The original price was $55.
Use the ALEKS calculator to find the sale price.
Which linear equation can be derived from this proportion?
Answer:
You're ANSWER IS CORRECT !
( A )
Step-by-step explanation:
[tex]\frac{(x-9)(5)(x-3)}{x-3} = \frac{2(5)(x-3)}{5}[/tex]
5( x - 9 ) = 2( x - 3 ) -- cross multiply
5x - 45 = 2x - 6
OR...
2x - 6 = 5x - 45
Match the base to the corresponding height.
Base (b)
Height (h)
Answer:
Base A and Height B
Base C and height A
Base B and Height C
Write an inequality for the situation. The value, v, of the necklace is greater than $83
Hi There!
Inequality:
v>83
This inequality says that
v is greater than $83.
Hope it helps!
Have an awesome day!
[tex]\huge\text{TheStarryNights :D}[/tex]
❗❗100POINTS❗❗+BRAINLIEST FOR CORRECT ANSWER
Show that 8x²-6x-275=0
thanks.
Answer:
(4x -25), (2x + 11)
Step-by-step explanation:
STEP1: Equation at the end of step 1
(23x2 - 6x) - 275
STEP2: Trying to factor by splitting the middle term
2.1 Factoring 8x2-6x-275
The first term is, 8x2 its coefficient is 8 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -275
Step-1 : Multiply the coefficient of the first term by the constant 8 • -275 = -2200
Step-2 : Find two factors of -2200 whose sum equals the coefficient of the middle term, which is -6 .
-2200 + 1 = -2199 -1100 + 2 = -1098 -550 + 4 = -546 -440 + 5 = -435 -275 + 8 = -267 -220 + 10 = -210 -200 + 11 = -189 -110 + 20 = -90 -100 + 22 = -78 -88 + 25 = -63 -55 + 40 = -15 -50 + 44 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -50 and 44
8x2 - 50x + 44x - 275
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (4x-25)
Add up the last 2 terms, pulling out common factors :
11 • (4x-25)
Step-5 : Add up the four terms of step 4 :
(2x+11) • (4x-25)
Which is the desired factorization
Final result :
(4x - 25) (2x + 11)
Hope this helps a bit
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(Sum\:of\: parallel\:sides)(Height)=133[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(x+5+3x-2)(2x-3)=133[/tex]
[tex]\\ \rm\hookrightarrow 4x+3(2x-3)=266[/tex]
[tex]\\ \rm\hookrightarrow 4x(2x-3)+3(2x-3)=266[/tex]
[tex]\\ \rm\hookrightarrow 8x^2-12x+6x-9=266[/tex]
[tex]\\ \rm\hookrightarrow 8x^2-6x-275=0[/tex]
The number of pollinated flowers as a function of time in days can be represented by the function.
f(x)=(3)^(x/2)
What is the average increase in the number of flowers pollinated per day between days 4 and 10?
Enter your answer in the box.
So in this case f(x) is number of pollinated flowers and x is the days. First you will need to determine the number of flowers pollinated at days 4 and 10 and the days in between. f(4)= 3(4^2)= 3*16 = 48 f(5)= 3(5^2)= 3*25 =75 f(6)= 3(6^2)=3*36=108 f(7)= 3(7^2)=3*49=147 f(8)= 3(8^2)=3*64=192 f(9)= 3(9^2)= 3*81=243 f(10)= 3(10^2)=3*100=300 Now we need to find the average increase, so that will be the average of the differences between days [(75-48)+(108-75)+(147-108)+(192-147)+(243-192)+(300-243)]/6 =(27+33+39+45+51+57)/6=42
WHATS NUMBER 14 ???THIS IS GEOMETRY BTW
Answer:
576
Step-by-step explanation:
as the shape is a square and the dot is the mid point
the base of the square will be 12 + 12 = 24
then 24 × 24 = 576
find the amount and compound interest on tzs2500 for 24months at 10%per annum, compounded annually
amount and compound interest on tzs2500 for 24months at 10%per annum, compounded annually
What is 366in to yard inch?
Answer:
10.167 yd is equal to 366 in
A right cylinder has a radius of 3 cm and a height of 7 cm.
Answer the following questions and make sure to show all your work.
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 6 cm, while the height remains 7 cm.
-OR-
2. Tripling the height to 21 cm, while the radius remains 3 cm.
Answer:V = 141.37 cm³
Step-by-step explanation:V = 141.37 cm³Surface area = 150.80 cm²i. Doubling the radius to 6 cm, while the height remains 5Step-by-step explanation:Given that :Radius, r = 3cmHeight, h = 5cmVolume, V of right cylinder :V = πr²hV = π * 3² * 5V = 141.37166V = 141.37 cm³Surface Area :2πr(h + r)2 * π * 3(3 +5)18.849555(8)150.79644= 150.80 cm²Volume at r = 6 ; h = 5V = π * 6² * 5V = 565.48667 cm³Volume at r = 3 ; h = 15V = π * 3² * 15V = 424.11500 cm³
can you solve that ?
Answer:
[tex]5 \frac{5}{6} [/tex]
Step-by-step explanation:
[tex]1 \frac{5}{12} + 4 \frac{5}{12} = 5 \frac{10}{12} [/tex]
5 10/12 can be simplified and that would be
[tex]5 \frac{5}{6} [/tex]
Identify the terms, like terms, coefficients, and constants in the expression 5a+2+7+6a
heeellpp mee faastt plleeass
ANSWER:
Terms: 5a,2,7,6a;
Like Terms: 5a,6a;2,7;
Coefficients: 5,6;
Constants: 2,7
Hope it helps brainliest if correct !
Answer:
5a and 6a are like terms. 2 and 7 are constants, 5a, 2, 7, and 6a are terms, and 5 and 6 are coefficients.
Step-by-step explanation:
1. Mabonka went to Staples to buy some school supplies for the new school year. She
only paid $21 for the items, but there was a 30% off sale. What was the original price
of the school supplies?
Answer:
$70
Step-by-step explanation:
x × 0.30 = 21
reverse
21 ÷ 0.30
=70
Original Price was $70
What is the volume of this rectangular pyramid?
3 cm
3 cm
4 cm
cubic centimeters
Answer:
36 cm hope this helps
Step-by-step explanation:
3×3=9×4=36
Question 2
Thank youuuu
Answer:
x=16⁰
Step-by-step explanation:
I AM NOT QUITE SURE OF THE ANSWER, but they are vertically opposite angles which in turn means that they are equal.
so you can equate the two sums they have given.
3x-3 = 2x+13
Take the numerical terms onto the right hand side and the 'x-terms' to the left hand side.
3x-2x = 13+3
That would leave you with,
x=16⁰
Solve the system of equations:
X+y+z=5
-3x-4y+4z=15
2x-y-4z=-8
Answer:
(x, y, z) = (3, -2, 4)
Step-by-step explanation:
The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...
z = 5 -(3 +(-2)) = 4
The solution is (x, y, z) = (3, -2, 4).
__
Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:
[tex]\left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right][/tex]
__
If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:
-3x -4y +4(5 -x -y) = 15 ⇒ -7x -8y = -5
(-3x -4y +4z) +(2x -y -4z) = (15) +(-8) ⇒ -x -5y = 7
This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...
-7(-5y -7) -8y = -5 ⇒ 27y = -54 ⇒ y = -2
x = -5(-2) -7 = 3
z = 5 -(3) -(-2) = 4
_____
Additional comment
If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.
i really need someones help ):
Answer:
I think you must be adding or multiplying each number across.
Step-by-step explanation:
A = { 4, 6, 8, 9 } B = { 3, 5, 8 } A ⊕ B =
Answer:
37 pls brain list me pls.
Use the figures below to answer the questions that follow
Answer:
Part 1 (a) ABH, DCG, or ACG
Part 1 (b) BHJD, ACG, or DCG
Part 2 (a) ABH, ACG, or BHJD
Part 2 (b) BHJD, ABH, or CGD
Part 3 HGJ, BHGC, or HGFE
Step-by-step explanation:
pls brainlieste
The probability of a student successfully completing an assignment before the due date is 0.65. If ten students are selected at random, what is the probability that at least 8 but at most 10 students will complete their assignments before the due date
Using the binomial distribution, it is found that there is a 0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
For each student, there are only two possible outcomes, either they complete the assignment, or they do not. The probability of a student completing the assignment is independent of any other student, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The probability of a student successfully completing an assignment before the due date is 0.65, hence p = 0.65.Ten students are selected at random, hence n = 10.The probability is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.65)^{8}.(0.35)^{2} = 0.1757[/tex]
[tex]P(X = 9) = C_{10,9}.(0.65)^{9}.(0.35)^{1} = 0.0725[/tex]
[tex]P(X = 10) = C_{10,10}.(0.65)^{10}.(0.35)^{0} = 0.0135[/tex]
Then:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1757 + 0.0725 + 0.0135 = 0.2617[/tex]
0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
More can be learned about the binomial distribution at https://brainly.com/question/14424710
I don’t know how to start this questiom