Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need? im confused on how to do the work. please answer quickly
Answer:
total surface area = 298.45105 m2
lateral surface area = 141.37155 m2
top surface area = 78.53975 m2
bottom surface area = 78.53975 m2
Step-by-step explanation:
Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.
To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.
Plugging in the values, we have:
Surface Area = 2π(5)² + 2π(5)(4.5)
Simplifying the equation:
Surface Area = 2π(25) + 2π(22.5)
Surface Area = 50π + 45π
Surface Area = 95π
To find the actual numerical value, we can approximate π as 3.14:
Surface Area ≈ 95 * 3.14
Surface Area ≈ 298.3 square inches
To learn more about cylinder click on,
https://brainly.com/question/24309865
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Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
437.9
Step-by-step explanation:
Volume is pi*r^2*h=pi*(49)*9=437.9
If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?
Answer:
8x-2
Step-by-step explanation:
l = x+4
w = 3x-5
The perimeter is
P =2(l+w)
= 2(x+4+3x-5)
Combine like terms
= 2(4x-1)
Distribute
= 8x-2
Answer:
[tex]8x-2[/tex]
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:
[tex]2(x+4)+2(3x-5)[/tex]
We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]
We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]
Adding them together, we get the answer as [tex]8x-2[/tex]
A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.
A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.
What is the probability of someone preferring phone calls, given the person is a female?
43%
46%
54%
57%
Answer:
C. 54%
Step-by-step explanation:
Answer:
C. 54%
Step-by-step explanation:
solve for x the triangles are the same
Answer: x=8
Step-by-step explanation:
So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.
8 is your answer.
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
77 yd
36 yd
What is the length of the hypotenuse?
C =
yards
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = [tex]\sqrt{7225}[/tex] = 85
Answer:
[tex]85yd[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]
im stuck between B and D please help
Answer:
maybe it's D ( not sure tho)
Find the volume of the cylinder. Round to the nearest tenth.
Answer:
V = 56.5 mi^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 3)^2 (2)
V = 18 pi
Letting p = 3.14
V = 56.52 mi^3
Rounding to the nearest tenth
V = 56.5 mi^3
QUESTION 1: Diagram NOT accurately drawn.
OAP is a triangle.
O to A=a
O to B=b
P is the point on AB such that AP: PB = 3:1
(b) Find OP in terms of a and b.
Give your answer in its simplest form.
Answer:
1/4a+3/4b
Step-by-step explanation:
OP=OA+AP
OA=a
AP=3/4AB
AB=-a+b
thus AP=3/4(-a+b) which is-3/4a+3/4b
OP=a-3/4a+3/4b thus 1/4a+3/4b
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
insert 3 rational no. between 4/13 and 1/13
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
Find the slope (-2,5),(2,9)
Answer:
1
Step-by-step explanation:
Let,
x1 = - 2
y1 = 5
x2 = 2
y2 = 9
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 9 - 5 ) ) / ( 2 - ( - 2 )
= 4 / 4
= 1
Answer:
slope is 1
Step-by-step explanation:
from (-2, 5) to (2,9)
slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1
*
you can think of how do you get from one point to the other
first point (-2, 5) go to second point (2,9)
-first on the y-axis (vertical) you start at 5 and go four up to get to 9
-second on the x-axis (horizontal) you start at -2 and go four right to get to 2
slope = change in y / change in x = four up /four right = 4/4 = 1
-moving down or to the left will make the numbers negative
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
-----------------------------------------------------------------------------------
Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
what is the solution to Y=-2x²+4x+8
Y=-4x+16
Hi there!
[tex]\large\boxed{(2, 8)}[/tex]
Solve by setting the two equations equal to each other:
-2x² + 4x + 8 = -4x + 16
Move all terms to one side:
-2x² + 4x + 4x + 8 - 16 = 0
Simplify:
-2x² + 8x - 8 = 0
Factor out a negative 2 from each term:
-2(x² - 4x + 4) = 0
Factor:
-2(x - 2)² = 0
Set the factor equal to 0 to solve:
(x - 2)² = 0
x - 2 = 0
x = 2
Substitute this value of x into an equation to find the shared y value:
y = -4(2) + 16 = 8
which of the following equations is an example of direct variation?
Answer:
C
Step-by-step explanation:
[tex] \frac{x}{3} [/tex]
What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer:
11/30
Step-by-step explanation:
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
What is the value of 4x2 + 5x - 8, if x = 3?
Answer: 43
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest
Answer:
11%
Step-by-step explanation:
Compound Interest Formula: initial ( 1 + interest rate )^time = final amount
Let compound interest be x
4000(1+x)^3 = 5500
Divide both sides by 4000
4000(1+x)^3 / 4000 = 5500/4000
Cube root both sides
[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]
1 + x = 2.22398 / 2
1 + x = 1.11199
Minus both sides by 1
1 + x = 1.11199
-1 -1
x = .11199 = 11%
4.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 0.62x2 + 89
B. exponential; y = 89 • 0.62x
C. linear; y = 0.62x + 89
D. quadratic; y = 89x2 + 0.62
Answer:
B. exponential; y = 89 • 0.62x
Step-by-step explanation:
Answer:
exponential; y = 89 • 0.62^x
...............................................................................................................................................
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
Option B is the answer.
...............................................................................................................................................
Nishi invests £3200 at 6% interest per year. Work out how much she will have altogether after: 2 years
SI = P×R×T/100
(3200×6×2)/100
= 384
Now 3200 + 384
= Euro 3584
Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *
hi my name how are you home work sind
HELP ME ASAP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
y = 3x ..... 1:3
y=9x ...... 1:9
Step-by-step explanation:
A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X
Answer:
A reflection of the point across the line y = -x
Step-by-step explanation:
General rule for reflection across line y = -x is
(a,b) -------> (-b , -a)
Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp
Answer:
x = 60.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 3.9/ 2.2
Taking the inverse tan of each side
tan ^-1 (tan x )= tan ^-1(3.9/ 2.2)
x=60.57254
To the nearest tenth
x = 60.6
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
i need help ASAP. troll answers WILL be deleted.
(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE
(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE
(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE
(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE
Correct Answer: (-4, -2)
Hope this helps!
Answer:
(-1,-3)
Step-by-step explanation:
(x,y)
it's not hard just plug in the coordinates for x and y ;-;
-2 is x, -3 is y
-3+-2<-5
-5<-5? false.
-4 is x, -2 is y
-2+-4<-5
-6<-5? false.
-3 is x, -2 is y
-3+-2<-5
-5<-5? false
-1 is x, -3 is y
-1+-3<-5
-4<-5? true
hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!
7 is subtracted from the product of 6
Answer:
product =7×6=42
subtract 42-7=35