The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.
Surface area of a cylinder:
The surface area of a cylinder of radius r and height h is given by:
[tex]S = 2\pi r^2 + 2\pi rh[/tex]
The cake is 10 inches in diameter and 4.5 inches tall.
Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].
The height is [tex]h = 4.5[/tex].
How many square inches of frosting will she need?
This is the surface area, so:
[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]
She will need 298.5 square inches of frosting.
A similar problem can be found at https://brainly.com/question/24332238
Answer:
Step-by-step explanation:
First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.
Now input the missing values into the formula and solve:
2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]
2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]
45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]
Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]
27x + 24y= 4.5
1.5x + y =0.225
Answer:
x = 0.1, y = 0.075
Step-by-step explanation:
Given the 2 equations
27x + 24y = 4.5 → (1)
1.5x + y = 0.225 → (2)
Multiplying (2) by - 24 and adding to (1) will eliminate the y- term
- 36x - 24y = - 5.4 → (3)
Add (1) and (3) term by term to eliminate y
- 9x = - 0.9 ( divide both sides by - 9 )
x = 0.1
Substitute x = 0.1 into either of the 2 equations and solve for y
Substituting into (2)
1.5(0.1) + y = 0.225
0.15 + y = 0.225 ( subtract 0.15 from both sides )
y = 0.075
Answer:
the values for x AND y are 0.1 and 0.075 respectively
Find the distance between the two points.
(-2,5)
✓ [?]
(4,-2)
Enter the number that
goes beneath the
radical symbol.
Enter
Answer:
√85
Step-by-step explanation:
We can find the distance between two points by using this formula
d = √(x2 - x1)² + (y2 - y1)²
Where the x and y values are derived from the two given points
The two given points are (-2,5) and (4,-2)
Remember that coordinates are written as (x,y)
Next we want to define our variables ( x2, x1, y2 and y1 are the variables)
x2 = 4
x1 = -2
y2 = -2
y1 = 5
Now to find the distance between the two points we simply substitute the values of the variables into the formula
Formula: d = √(x2 - x1)² + (y2 - y1)²
x2 = 4, x1 = -2, y2 = -2 and y1 = 5
d = √(4 - (-2))² + (-2 - 5)²
The two negative signs before the 2 cancel out and it changes to + 2
d = √(4 + 2)² + (-2 - 5)²
Add 4 and 2
d = √6² + (-2 - 5)²
Subtract -2 and -5
d = √6² + -7²
Apply the exponents
d = √36 + 49
Add 36 and 49
d = √85
We can conclude that the distance between the two points is √85
create another show real life multi-step function problems with Solutions in quadratics
Answer:
Kazan also SOS jz zks zj sj aka always zks. aiwow
find the missing side
Answer:
[tex]\boxed{x=13.89\:km}[/tex]
Step-by-step explanation:
Pythagorean theorem
[tex]x^2=(12^2)+(7^2)[/tex]
[tex]x^2=144+49[/tex]
[tex]x^2=193[/tex]
[tex]x=\sqrt{193}[/tex]
[tex]\boxed{x=13.89\:km}[/tex]
What's 672 divided by 32
Apply the distributive property to factor out the greatest common factor.
44+48=
Answer:
(40+4)+(40+48)
=40+(4+8)+4+8(40)
=44+48+12×40
if u add all
=104×40
=4160
Step-by-step explanation:
How do I find out the square root of a perfect square
factor as the product of two binomials x2+6x-7
Answer:
(x-1)(x+7)
Step-by-step explanation:
did it on a test and got it right :))
Need help with this, don't understand it. we weren't taught how to do this
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...
not a functionnot linear__
a) degree 3, not linear
b) a linear function
c) a vertical line with undefined slope, not a function
d) a curve opening downward, not linear
e) a line with a bend in the middle, not linear
f) a linear function
∫(x+1)/(x2+2)2x−3dx need help with this question. can you show the process
do you need to include the wiggle infront of the first bracket? if not;
(x+1) ÷ [(x^2+2) x (2x-3dx)]
x^2 x 2x = 2x^3
x^2 x -3dx = -3dx^3
2 x 2x = 4x
2 x -3dx = - 6dx
i cant find a way to make it equal 0 so i think the answer is just
x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction
Its in the picture!!!1
Can someone explain this
=========================================================
Explanation:
Let x be the unknown angle we want to find. This angle is in degrees.
The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.
We use the tangent ratio to tie the two sides together
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]
Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.
find the mean value of the following. 5, 11, 4, 10, 8, 6
Element X is a radioactive isotope such that every 42 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 45 grams, to the nearest tenth of a
year?
Answer:
6.38548 years
Step-by-step explanation:
1 = 2 [tex]e^{42k}[/tex]
1/2 = [tex]e^{42k}[/tex]
ln(1/2) = 42k ln(e)
ln(1/2)/42 = k
k = -0.01650
~~~~~~~~~~~~~~
45 = 50 [tex]e^{-0.01650t}[/tex]
45/50 = [tex]e^{-0.01650t}[/tex]
ln(45/50) = -0.01650 t ln(e)
ln(45/50)/ -0.01650 = t
t = 6.38548 years
The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years
What is half-life of an element?The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.
Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value
The decay constant λ is = 0.693/t½
where t½ is the half-life of the element
Given data ,
Let the number of years be t
Let the initial mass of the element be a = 50 grams
The final mass of the element be ( a - x ) = 45 grams
Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half
And , half life t½ = 42 years
So , the decay constant k = 0.693/t½
k = 0.693 / ( 42 )
k = 0.0165
And , k= 2.303/t {log (a/a-x)}
So , t = 2.303 / ( 0.0165 ) log ( 50/45 )
On simplifying , we get
t = 6.384129 years
Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years
To learn more about half-life of an element click :
https://brainly.com/question/16387602
#SPJ2
Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3
(1-sinx+cosx)^2 = 2(1+sinx)(1+cosx)
If you're trying to establish an identity, the given equation is not an identity. The proper identity would be as follows:
(1 - sin(x) + cos(x))² = (1 - sin(x))² + 2 (1 - sin(x)) cos(x) + cos²(x)
… = (1 - 2 sin(x) + sin²(x)) + 2 (1 - sin(x)) cos(x) + cos²(x)
… = 2 - 2 sin(x) + 2 (1 - sin(x)) cos(x)
… = 2 - 2 sin(x) + 2 cos(x) - 2 sin(x) cos(x)
… = 2 (1 - sin(x) + cos(x) - sin(x) cos(x))
… = 2 (1 - sin(x) + cos(x) (1 - sin(x)))
… = 2 (1 - sin(x)) (1 + cos(x))
But if you're trying to solve an equation:
(1 - sin(x) + cos(x))² = 2 (1 + sin(x)) (1 + cos(x))
2 (1 - sin(x)) (1 + cos(x)) = 2 (1 + sin(x)) (1 + cos(x))
(1 - sin(x)) (1 + cos(x)) - (1 + sin(x)) (1 + cos(x)) = 0
(1 + cos(x)) (1 - sin(x) - 1 - sin(x)) = 0
-2 sin(x) (1 + cos(x)) = 0
sin(x) = 0 or 1 + cos(x) = 0
sin(x) = 0 or cos(x) = -1
[x = arcsin(0) + 2nπ or x = arcsin(0) + π + 2nπ] or
… [x = arccos(-1) + 2nπ]
We have arcsin(0) = 0 and arccos(-1) = π, so the solution set reduces to
x = 2nπ or x = (2n + 1)π
(where n is any integer)
i) [(2⁵)×7³] /(8³×7)
=8³ can be written as =(2×2×2)³
=(2³)³
we have,
=[(2⁵)²×7³) / [(2³)³×7)
=(2⁵×2×7³)/[(2³×3×7) ....(▪︎(Am)n=(amn)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰-a×7³-¹)▪︎▪︎▪︎(▪︎am÷an=am-n)
=2×7²
=2×7×7
=97
-------
It's answer is correct and wrong
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Answer:
its 196
Step-by-step explanation:
please help
solve (4-w)(5w+3)=0
Answer:
4=w w = -3/5
Step-by-step explanation:
(4-w)(5w+3)=0
Using the zero product property
4-w = 0 5w+3 =0
4 =w 5w= -3
4=w w = -3/5
Answer:
4 & -3/5
Step-by-step explanation:
the "trick" is to set each factor = to zero
4-w = 0
w = 4
~~~~~~~~~~~
5w + 3 = 0
5w = -3
w=-3/5
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answer:
24.68 gram
Step-by-step explanation:
Given that :
Volume = 182.8 ml
Density of liquid = 0.135 gram/ml
Recall :
Density = mass (g/ml) / volume (ml)
Substitute the value into the equation :
0.135 = mass / 182.8
Mass = 0.135 * 182.8
Mass = 24.678 gram
Hence, weight = 24.678 grams
THIS IS TIMED I NEED THE ANSWER NOW
Answer:
114 pi or 359
Step-by-step explanation:
5
In the diagram, rhombus ABCD has sides of length 5 cm each and the length of the
diagonal AC is 8 cm.
(a) Find ABC
(b) Calculate the area of rhombus ABCD
Answer:
a) the angle ABC is approximately 106 degrees b) 24
Step-by-step explanation:
1) Using the law of cos
AC*AC= AB*AB+BC*BC-2*AB*BC*cosB
8*8= 5*5+5*5-2*5*5*cosB
64= 50- 50c0sB
cosB= 14/(-50)= -7/25.
B= arccosB= arccos(-7/25)= 106degrees.
2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625
sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)
3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)
Is -46.2 a irrational number
Answer:
No
Step-by-step explanation:
irrational numbers have nonrepeating and non terminating decimals
This decimal stops at one digit so this is a rational number
Answer:
I would say no
Step-by-step explanation:
An irrational number can't be written as a simple fraction.
A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?
Answer:
Area of rectangle = 150 cm
Step-by-step explanation:
Given the following data;
Ratio = 3:2 Perimeter = 50mTo find the area of the rectangle;
First of all, we would determine the dimensions (length and width) of the rectangle;
For length;
Length, L = 2x
For width;
Width, W = 3x
Mathematically, the perimeter of a rectangle is given by the formula;
P = 2(L + W)
50 = 2(2x + 3x)
50 = 2(5x)
50 = 10x
x = 50/10
x = 5
Length, L = 2x = 2 * 5 = 10 cm
Width, W = 3x = 3 * 5 = 15 cm
Now, we would find the area of the rectangle;
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Area of rectangle = 10 * 15
Area of rectangle = 150 cm
Combine these radicals.
Anyone pls I need
Answer:
-26 sqrt(3)
Step-by-step explanation:
-12 sqrt(12) - 2 sqrt(3)
Rewriting
-12 sqrt(4*3) - 2 sqrt(3)
We know sqrt(ab) = sqrt(a)sqrt(b)
-12 sqrt(4)sqrt(3) - 2 sqrt(3)
-12 (2) sqrt(3) - 2 sqrt(3)
-24 sqrt(3) - 2 sqrt(3)
-26 sqrt(3)
Qual o valor da expressão? 155÷2+4−55+1,5−6×5+6?
Answer:
Step-by-step explanation:
Hello!
(155/2)+4−55+1,5−(6×5)+6=
77,5 +4-55 +1,5 -30 +6= 4
I need help with this
Answer:
45
Step-by-step explanation:
worth 10pts if someone can help!
Answer:
y=-x
I found the points then simplified it down
Answer:
hmm maybe trying using 2y=5x-2
Step-by-step explanation:
how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2
maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong
Instructions: Use the images to answer the questions below.
Graph A
Graph B
Graph C
5108
6 4 8
7046
8 2 2 2 6 66
90 000 24
50,1,2,
63,8,9,
71,3,4,
8 2,4,6,7,
glo,
57 39
68 5 1
7 3 0 0
824
919
an
11.11
1. What type of graph is displayed? stem-and-leaf plot •
2. The data is quantitative
3. Which graph is made correctly? Graph A :
4. The data in the correctly made graph is negatively skewed . This indicated that the mean is
the same or approximately the same as the median.
5. The population size of the data set in the correctly made graph is 5
Some of the sub-questions have been answered. I will provide explanation to the already answered questions and then answer the unanswered parts
1. The graph type
The three graph displayed are stem-and-leaf plots. The single numbers at the left-hand side are referred to as the stem, while the numbers at the right are called leaves.
2. The type of data
The three graphs display numerical data (i.e. numbers). Hence, the data are quantitative
3. The correct graph
To know the correct graph; the leaves on each line must be in ascending order and the delimiter to use is a blank space.
Only graph A obey the above illustration
4. Skewness
In graph A, the length of the leaves increases as we move from one stem to the other. This means that the graph is negatively skewed.
For a negative skewed stem plot, the mean is less than the median
5. The population size
This means that we count the number of leaves in the stem plot
The leaves are:
[tex]Leaves = \{0,8,4,8,0,4,6,2,2,2,6,6,6,0,0,0,0,2,4\}[/tex]
So, the population size is: 19
6. The data set
To do this, we include the stem to the corresponding leaves.
So, we have:
[tex]Dataset= \{50,58,64,68,70,74,76,82,82,82,86,86,86,90,90,90,90,92,94\}[/tex]
Learn more about stem and leaf plots at:
https://brainly.com/question/22141441
What are the coordinates of the vertices of the image?
A) A'(9,8), B'(-3,-4), C'(1, 2), and D'(1,-2)
B) A'(3,4), B'(3,-4), C'(-5, 2), and D'(1, 2)
C) A'(3,8), B'(-3, 4), C'(1,-2), and D'(-1,2)
D) A'(-3, 4), B'(3,4), C'(5,-2), and D'(-1,-2)
Answer:
D
Step-by-step explanation:
I took the quiz
Please help me answer this question:
(D 3, 3, 5, 5, 6, 7, 8, 9, 11
Answer:
According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.
Step-by-step explanation:
To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.
- The box geometric figure with the vertical line contained within represents the average of the numbers presented.
* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.
Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).
The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.
*I hope this helps.
