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]
Amber had 56 of a book of postage stamps. She used 26 of the book of postage stamps. Which fraction of the book of postage stamps does Amber have now?
An Step-by-step explanation: There are 56 stamps in total, and Amber used 26. So, she used 26/56. We need know which fraction has now. so she have 30/56 (becauase 56-26= 30). And by simplify, she have now 15/28 (if you simplify by 2)
Find the area of this
Answer:
124
Step-by-step explanation:
mark is making a square pen for his puppy. he wants the puppy to have 36 square feet of space to play in. he can use square roots to determine the length of one side of the square section so that he can be sure to purchase enough fencing for the pen. how is the side of the square pen related to the area ?
how long is one side of the square pen ?
how much fencing will mark need to purchase ?
someone please help me lol
Answer:
see below
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
36 = s^2
Taking the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The side length of the pen is 6 ft
To find the perimeter of a square
P = 4s
P = 4*6 = 24
He will need 24 ft of fencing
Answer these 3 questions and show how por favor! 39-says what is his age
Answer:
I dont know. sorry sorry
2+9 +11+98+99999999999999999
Answer:
1.000000000000012e+16
Step-by-step explanation:
uh
This...ik what mean is I'm just trying to find what the original numbers would be?
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
Please see screenshot for question you will get all 60 points plus a crown if you answer correctly
Answer:
12.73
Step-by-step explanation:
Set up ratio.
[tex]\frac{22}{100} =\frac{2.89}{x}[/tex]
Solve for x.
[tex]\frac{100}{22} =\frac{x}{2.8}[/tex]
[tex]\frac{100}{22} (2.8)=x[/tex]
x=12.73
i don’t know how to solve this
Answer:
? = 63
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 6/13
Taking the inverse cos of each side
cos^-1 (cos ?) = cos^-1 (6/13)
? = 62.51357
To the nearest degree
? = 63
Solve
4/√7-1 +2/√7+1
Answer:
[tex]\frac{4}{\sqrt{7}}-1+\frac{2}{\sqrt{7}}+1[/tex][tex]=\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}-1+1[/tex]
[tex]\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}=\frac{6\sqrt{7}}{7}[/tex]
[tex]\frac{6\sqrt{7}}{7}-1+1[/tex]
[tex]-1+1=0[/tex]
[tex]=\frac{6\sqrt{7}}{7}[/tex]
OAmalOHopeO
Answer:
Answer is (6[tex]\sqrt{7}[/tex] +2)/6
Step-by-step explanation:
The question isn't very clear, so I'm gonna assume the denominator is [tex]\sqrt{7}[/tex]-1 and [tex]\sqrt{7}[/tex]+1
Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half
Answer:
One-half
Step-by-step explanation:
Given
Exponential function
Required
The initial value that shrinks the function by [tex]50\%[/tex]
An exponential function is represented as:
[tex]y = ab^x[/tex]
Where the growth function is:
[tex]r = b^x[/tex]
[tex]a \to[/tex] initial value
For the growth function to shrink by x%, then:
[tex]a =1 - x\%[/tex]
In this case; x = 50. So, we have:
[tex]a =1 - 50\%[/tex]
Express as fraction
[tex]a =1 - \frac{50}{100}[/tex]
Take LCM
[tex]a =\frac{100 -50}{100}[/tex]
[tex]a =\frac{50}{100}[/tex]
Reduce fraction
[tex]a =\frac{1}{2}[/tex]
Answer:
It's D on edge :D
Step-by-step explanation:
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.
9514 1404 393
Answer:
turning points
Step-by-step explanation:
The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.
The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.
L is the point (-2,4) and M is the point(3,-1).A variable pointQ(x,y) in such that /QL/²-/QM/²=10
Answer:
y=x
Step-by-step explanation:
so,
((x - -2)² + (y - 4)²) - ((x - 3)² + (y - -1)²) = 10
(x² + 4x + 4 + y² - 8y + 16) - (x² - 6x + 9 + y² + 2y + 1) = 10
x² + 4x + y² - 8y + 20 - x² + 6x - y² - 2y - 10 = 10
10x - 10y = 0
y = x
Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear
Answer:
b
Step-by-step explanation:
The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.
Can someone help I don't understand
Answer:
Step-by-step explanation:
Determine whether the statement below is true or false diam is a rhombus
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
it has all the properties matching with a rhombus
answer from gauthmath
I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
Concept:
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Center = (2, 14)
Radius = 1
Given formula
(x - h)² + (y - k)² = r²
Substitute the value into the formula
(x - 2)² + (y - 14)² = (1)²
Simplify
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
Please let me know if you have any questions
I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
The corresponding edges of two similar containers are 56cm and 84cm.Find the ratio of the capacities
Answer:
8 : 27
Step-by-step explanation:
Given the ratio of sides of 2 similar objects = a : b , then
ratio of volumes = a³ : b³
Here ratio of sides = 56 : 84 = 2 : 3 , then
ratio of volumes = 2³ : 3³ = 8 : 27
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?
60 degrees
65 degrees
70 degrees
80 degrees
Step-by-step explanation:
=80°-15°=65°please mark this answer as brainlist
What is an equation of the line that passes through the points (0, 8) and (-8, -4)?
Answer:
y = 1.2x + 2
Step-by-step explanation:
slope = (8 - 2)/(5 - 0) = 6/5y-intercept = (0, 2)y = (6/5)x + 2y = 1.2x + 2
Answer:
y=1.5x +8
Step-by-step explanation:
find the unknown size of angle
Answer:
x = 60
2x = 120
2x + 30 = 150
2x - 30 = 90
Step-by-step explanation:
2x + 2x - 30 + 2x + 30 = 360
2x + 2x + 2x + 30 - 30 = 360
6x + 0 = 360
6x = 360
x = 360 / 6
x = 60
2x
= 2 x 60
= 120
2x + 30
= 120 + 30
= 150
2x - 30
= 120 - 30
= 90
Solve for u. 42 = –7(u + 41)
A 20 foot ladder rests against a wall. The ladder makes a 55° angle with the ground. How far from
the wall is the base of the ladder?
Answer:
11.5 foot (rounded to one decimal)
Step-by-step explanation:
x = 20×sin(35)
x ≈ 11.47153.. ≈ 11.5
Answered by GAUTHMATH
help I don't get it
Answer:
2)
3)
4)
5)
6)
Step-by-step explanation:
Which point has the coordinates (-3.5, 7)?
Answer:
Q
Step-by-step explanation:
The coordinates are ( x,y)
negative 3.5 goes 3.5 units to the left
7 goes 7 units up
Answer:
Q
Step-by-step explanation:
The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5
the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there
2. Use technology to graph, or graph by hand (on graph paper- MUST BE ACCURATE) each plan on the same set of axis (all three lines on the same graph – this is not a scatter plot! You must have connecting line segments). Assume that a maximum of attendees will be 50 (you will need to adjust the scale - wrench setting). Place a copy of your graph into this document. You must have labeled axis!!! To label your axis on Desmos, go to the wrench settings. (4 marks)
Answer:
https://www.woboe.org/cms/lib8/NJ01912995/Centricity/Domain/905/Graphing-Packet%20Answers.pdf
Let me know if this helps!
Be a bit more specific on the question like what do you want us to do\
MORE INSTRUCTIONS THAN THE QUESTION
Find the measure of the indicated arc.
