Answer:
The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.
The formula to find slant height is l = √(h²+r²) where h represents height.
The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.
Given,
The height is 12 cm and the radius is 5 cm.
We are to find the lateral surface area of a cone.
What is the lateral surface area of a cone?The lateral surface area of a cone:
A = [tex]\pi[/tex] x r x l
where r = radius and l = slant height.
The slant height:
l = √(h²+r²) where h =height.
We have,
h = 12 cm and r = 5 cm
l =√(h²+r²)
l = √(12^2 + 5^2)
l = √(144 + 25)
l = √169
l = 13 cm
Now,
l = 13 cm and r = 5 cm
A = [tex]\pi[/tex] x r x l
A = [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm
Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.
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PLEASE HALP I GIVE OUT BRAINLIEST
Since there is two negative signs in the original equation, you need two negative signs in the equivalent one as well.
Because one of the negatives if before the fraction, it doesn't matter if the second negative is on the 13 or on the 12.
The answer is A.
Match each number with its place in order from smallest (1st) to largest (6th). 1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48
Answer:
Numbers provided:
-56, 90, -84, 59, -80, 48
The smallest number is -84.
The highest number is 90.
1st: -84
2nd: -80
3rd: -56
4th: 48
5th: 59
6th: 90
SOLVE OR SIMPLIFY THIS!! 4(2x+7)=12-2(10-2x)
Answer:
-3
Step-by-step explanation:
8x+28=12-20-4x
8x+4x=-8-28
12x=-36
x=-3
PLS MARK AS BRAINLIEST
pls help!! Consider the sequence below.
-34, -21, -8, 5...
Complete the recursively defined function to describe this sequence.
Answer:
a₁= -34
aₙ = 13n - 47
Step-by-step explanation:
This is an AP with the first term of -34 and the common difference of 13.
The nth term is:
aₙ= a₁ + (n-1)daₙ= -34 + (n-1)*13aₙ = 13n - 47This is the required formula.
The volume of this prism is cubic inches.
Answer:
140
Step-by-step explanation:
The prism shown is a rectangular prism
Volume of a rectangular prism = length * width * height
Given length: 3 1/2
Given width: 5
Given height: 8
Volume = 3.5 * 5 * 8 = 140
Answer:
[tex]A=140[/tex]
Step-by-step explanation:
The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular prism, its volume can be found using the following formula,
[tex]A=l*w*h[/tex]
Substitute the given values into this formula,
[tex]A=l*w*h[/tex]
[tex]A=8*5*3\frac{1}{2}[/tex]
Simplify,
[tex]A=8*5*3\frac{1}{2}[/tex]
[tex]A=40*3\frac{1}{2}[/tex]
Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).
[tex]A=40*3\frac{1}{2}[/tex]
[tex]A=40*\frac{(3*2)+1}{2}[/tex]
[tex]A=40*\frac{6+1}{2}[/tex]
[tex]A=40*\frac{7}{2}[/tex]
To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,
[tex]A=40*\frac{7}{2}[/tex]
[tex]A=20*7[/tex]
Multiply to finish simplifying and get the answer,
[tex]A=20*7[/tex]
[tex]A=140[/tex]
Question 9 of 10
Which of the following are exterior angles? Check all that apply.
O A. 24
O B. _3
O c. 7
O D. 25
O E. 2.
O F. 26
Answer:
[tex]\boxed{\sf A, \ B \ and \ E}[/tex]
Step-by-step explanation:
[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]
hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)
Answer:
a rectangular prism
Step-by-step explanation:
consists of 6 faces which are rectangles
If a discount of 20% off the retail price of a desk saves mark$45 how much did he pay for the desk?
Answer:
$180
Step-by-step explanation:
what is 45 20% of? This is what we need to find! To do this we have to take 45 and divide it by .2 which will give us 225. To check that this is the answer we take 45 and divide it by 225. This brings us back to 20%. He wouldve paid $225 for the desk, but there was a $45 discount, and after subtracting the discount we are left with $180
Daniela has money automatically deposited into a savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate measured in dollars per week. What is the constant of proportionality?
A. 1/6
B. 3
C. 6
D. 12
Answer:
c) 6
Step-by-step explanation:
18 divided by 3 is 6
30 divided by 5 is 6
Answer:
C: 6
Step-by-step explanation:
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work
Answer:
3 hours
Step-by-step explanation:
Speed is the ratio of distance traveled to time taken, it is given as:
Speed = distance / time
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.
Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.
For car:
Speed = distance / time
35 = distance ([tex]d_1[/tex]) / t
[tex]d_1=35t[/tex]
For helicopter:
Speed = distance / time
78 = distance ([tex]d_2[/tex]) / t
[tex]d_2=78t[/tex]
The total distance traveled = 169.5 miles
[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]
The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours
please help giving brainlest and points !! send picture or explain
Answer:
1. [1,-8,-7]
2.[4,-3,-2]
3.[9,-7,-2]
srry if wrong
Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answer:
40%
Step-by-step explanation:
total cupcakes: 14+21 = 35
Percentage with sprinkles = sprinkles / total
= 14/35
=.4
= 40 %
Answer:
40%
Step-by-step explanation:
14 + 21 = 35
14/35 × 100 = 40
Therefore 40% of the cupcakes had sprinkles
PLEASE HELP!!! Will give brainliest to quickest CORRECT answer. No explanation needed :) Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal. Let C represent the number of classes a customer takes. 1) Which inequality describes this scenario? A. 35+C≤100 B. 35+3≥100 C. 35+12C≤100 D. 35+12C≥100 2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?
The inequality that describes the scenario will be; 35 + 12C ≥ 100.
The minimum number of classes a customer can take for Rebekah to meet her goal is 6
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
One-time initial fee = $35
Additional fee per class = $12
Minimum target = $100
Number of classes = C
One-time initial fee + (Additional fee per class) x (Number of classes) ≥ Minimum target
The inequality that describes the scenario will be;
35 + 12C ≥ 100
Then Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal,
12C ≥ 100 - 35
12C ≥ 65
C ≥ 65 / 12
C ≥ 5.42
Thus, The minimum number of classes a customer can take for Rebekah to meet her goal is 6
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Which system of equations has no solution?
Answer:
B.
[tex]{ \binom{7x - 2y = 9}{7x - 2y = 13} }[/tex]
PLS HELP WILL GIVE BRAINLIEST
Please help me with this geometry question:((
Answer:
a.ans=(1,3)
b.ans=(1,2,3,4,5,6,7,9,11,12)
c.ans=(1,3,5,7,9,11)
Step-by-step explanation:
Between A and C (1,3) are common.So it is the intersection.
(1,2,3,4,5,6,7,9,11,12) are all the number belongs to set A and set C.So it is called the union of both sets.
C denotes the complement and the number except set b belong to the complement.
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Eighty eighths in cups
if you have 88 tablespoons and you convert them into cups you would have 5.5 then you would convert that into a fraction which would be 5 1/2
5 Sandeep bought 30 punnets of strawberries for £20. 1/6 of the punnets were rotten so he threw them away. He sold the remaining punnets for £1.50 each. Work out Sandeep's profit.
Answer:
£17.50
Step-by-step explanation:
30 punnets / £20
= 30 / 20
= 1.5
1 punnet costs £1.5
30 strawberries * (1/6 punnets)
= 30 * (1/6)
= 30/6
= 5
5 punnets were rotten.
5 rotten punnets * £1.5
= 5 * 1.5
= 7.5
Sandeep lost £7.5 in profits.
6/6 punnets - 1/6 rotten punnets
= 6/6 - 1/6
= 5/6
5/6 punnets are good
30 punnets * 5/6 good punnets
= 30 * 5/6
= 150/6
= 25
Sandeep has 25 punnets left to sell
25 punnets to sell * £1.50
= 25 * 1.5
= 37.50
Sandeep will get £37.50 from selling the punnets. However, you must take into account that he lost £20 when he bought the strawberies. THat money while be added back with some extra money left over:
£37.50 - £20
= 37.50 - 20
= 17.50
Put all into 1 equation:
{[30 * (5/6)] * 1.50} - 20
= {(150/6) * 1.50} - 20
= {25 * 1.50} - 20
= 37.50 -20
= 17.50
Overall, Sandeep's actual profits are equal to 17.50
I hope this is correct! Please tell me if the answer or info I gave was wrong!
Solve x*2+5x+6=5x+10
Answer:
x = -2, 2.
Step-by-step explanation:
x*2 + 5x + 6 = 5x + 10
x^2 + 5x - 5x + 6 - 10 = 0
x^2 - 4 = 0
x^2 = 4
x = -2, 2 ( 2 solutions).
Someone pls help . Thank you sm ! i forgot how to do this lol .
Answer:
x = - 20, h = 34
Step-by-step explanation:
i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20
-32 = 2-h
+32 . +32
0=34-h
+h . +h
34=h
flip
h=34
A store pays $10 for each shirt it buys. The store sells each shirt for 60%
more. What is the price of a shirt at the store?
Answer:
16$ per shirt
Step-by-step explanation:
60% of 10 is 6
10 + 6 = 16
use the tables below to find (p-q)(2)
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex](p-q)(2)[/tex]
[tex]p(2)-q(2)[/tex]
[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]
[tex](3)-(-2)[/tex]
[tex]3+2=5[/tex]
{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.
Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
Mathematics, probability and chance Can somebody help me, I always thank and vote
Plsssssss answer this fast guys plssssss
Answer:You cant get someone to do all of this try doing a few or getting help from someone older that's what I did
I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now
It's better to make an effort and try doing some of them instead of asking someone to do all of it
Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems
Answer:
Don't ask someone to do this if your question is a test
Step-by-step explanation:
PLEASE HELP ASAP I WILL REWARD BRAINLIEST one unit up, one unit down, one unit left, one unit right,
Answer:
y=x+2
Step-by-step explanation:
Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2
Answer:
see below
Step-by-step explanation:
will make it simple.
1 unit up : y = |x+2| + 1
1 unit down : y = |x+2| - 1
1 unit to the left : y = |x + 3|
1 unit to the right : y = |x+1|
hope it helps. if its wrong, then please report it wo we can delete of correct it.
Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f−1(6)
Answer:
[tex]f^{-1}(6) = 2[/tex]
Step-by-step explanation:
Given
[tex]f(2) = 6[/tex]
[tex]f(3) = 7[/tex]
Required
[tex]f^{-1}(6)[/tex]
First, we need to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
From the given parameters;
In [tex]f(2) = 6[/tex]
x = 2; y =6 --- Take this as x1 and y1
In [tex]f(3) = 7[/tex]
x = 3; y = 7 --- Take this as x2 and y2
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{6 - 7}{2 - 3}[/tex]
[tex]m = \frac{- 1}{ - 1}[/tex]
[tex]m = 1[/tex]
Next, we determine the equation of the function using
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute the values of x1,y1 and m
[tex]y - 6 = 1(x - 2)[/tex]
Open bracket
[tex]y - 6 = x - 2[/tex]
Add 6 to both sides
[tex]y - 6 + 6 = x -2 +6[/tex]
[tex]y = x + 4[/tex]
Next is to determine the inverse function by swapping the positions of x and y
[tex]x = y + 4[/tex]
Make y the subject of formula;
[tex]y = x - 4[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = x - 4[/tex]
Now, we can solve for [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = 6 - 4[/tex]
[tex]f^{-1}(6) = 2[/tex]
what is the largest amount of postage in cents that cannot be made by using only 3 cent and 5 cent stamps?
Answer:
29
Step-by-step explanation:
The amounts greater than 40 cents can be formed.
What is Modulo ?After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division.
Given:
According to the situation the equation can be
C = 5x + 11y, where x and y are non negative integers.
Now, We will fix y-values first, because there are fewer indices modulo 5:
y = 0 --> 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55,... 5y
y = 1 --> 11, 16, 21, 26, 31, 36, 41, 46, 51, 56,... 5y + 11
y = 2 --> 22, 27, 32, 37, 42, 47, 52, 57, ...5y + 22
y = 3 --> 33, 38, 43, 48, 53, 58, ...5y + 33
y = 4 --> 44, 49, 54, 59, ...5y + 44
Then, 39 may be verified to be the smallest number that is impossible to obtain.
By examining each index (0, 1,..., 4), we may demonstrate this by observing that for y = 1, 6 is the largest positive integer congruent to 1 mod 5 that cannot be made, 17 is the largest positive number congruent to 2 mod 5, etc.
The largest of these improbable numbers is 39.
We could say that since 40, 41, ..., 44 are all obtainable, then we can induct by adding a multiple of 5 (i.e. if k is possible, so is k+5),
Hence, all amounts greater than 40 cents can be formed.
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