OK, I cut a cake vertically to make 2 congruent parts. a) Find the perimeter and area of the cross section formed by the cut. Write your answer as a decimal. The perimeter is __ inches and the area is __ square inches. b) Find the surface area of the cake that is not frosted before the cut. Round your answer to the nearest hundredth. The surface area is about __square inches.
Answers
Answer:
The perimeter is 36.5 inches.
The area is 59.5 square inches.
The surface area is about 153.94 square inches.
Step-by-step explanation:
From the figure it is clear that,
Radius of cake = 7 in
Diameter of cake = 14 in
Height = 4.25 in
We need cut the cake vertically along its diameter to make 2 congruent parts.
So, cross section is a rectangle of length 4.25 in and width 14 in.
Perimeter of rectangle is
[tex]Perimeter=2(length+width)[/tex]
[tex]Perimeter=2(4.25+14)[/tex]
[tex]Perimeter=2(18.25)[/tex]
[tex]Perimeter=36.5[/tex]
The perimeter is 36.5 inches.
Area of rectangle is
[tex]Area=lengt\times width[/tex]
[tex]Area=4.25\times 14[/tex]
[tex]Area=59.5[/tex]
The area is 59.5 square inches.
We need to find the surface area of the cake that is not frosted before the cut. It means the area of base.
Area of circle = [tex]\pi r^2[/tex]
where, r is radius.
Area of circular base = [tex]\pi (7)^2[/tex]
[tex]=49\pi [/tex]
[tex]=153.93804[/tex]
[tex]\approx 153.94[/tex]
Therefore, the surface area is about 153.94 square inches.
Related Questions
Evaluate $4a$ when $a=7$
Answers
Answer: 4*7=28
Step-by-step explanation: a is 7
Container A and container B have leaks.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represent the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.
Answers
Answer:
50m ..........................................................................................
what is an irrational and irrational number?
Answers
Answer:
An irrational number is a real number that can't be written as a fraction.
Ex. [tex]\sqrt{5}[/tex]
A rational number is a real number such as a whole number, fraaction, decimal, or integer.
Use complete sentences to describe why Set A={ XIX is an even whole number between 0 and 2) = ø
Answers
Answer:
True
Step-by-step explanation:
Set A contains an element x such that x is an even whole number between 0 and 2 is empty because there is only one whole number between 0 and 2 and that is 1. But 1 is not an even number. There is no even whole number between 0 and 2 therefore Set A = phi
An even number must be divisible by 2 but 1 is not divisible by 2. It is not an even number.
A whole number does not have fractions or decimal part. There is only one whole number between zero and two that is 1 which is not even.
Thus the given statement is true.
Explain why 4x = 8 and 2x = 4 are equivalent equations in one sentence.
Answers
Answer:
They equal that because x=2
Step-by-step explanation:
What is
-123 + 48dndmjdbwhsjwbsshjwvsve
Answers
Answer:
-75
Step-by-step explanation:
-123 + 48
-*+ = -
123-48
75
But as the bigger number i.e 123 has a negative sign before so the answer will be in negative
i.e -75
Please tell my if I am right. Thanks :)
Answers
Answer:
Yes
Step-by-step explanation:
The slope is -2 if you plug it into the formula and the y-intercept is clearly 3.
For each set of measurements, decide whether or not it is possible to draw a triangle with these measurements. Side lengths: 2 cm, 3 cm, and 6 cm.Please hurry!
Answers
Answer:
It is not possible to make a triangle with these dimensions. Hope this helps!
Step-by-step explanation:
term life insurance is a policy that__.A.expires after a fixed period of time.B.charges a premium for the life of the insured and builds value over time.C.benefits a person other than the insured's heirs.D.increases in value over time
Answers
Answer:b
Step-by-step explanation:
in your opinion ,do you think mom was right in making Demarcus study before playing, or was Demarcus right to play and then study?
Answers
Answer: Mom was right in making Demarcus study before playing.
Step-by-step explanation:
2x(x-2)+3x=2(x+1)+1
Please help ASAP and right it step by step and what kind of answer it is
Answers
It costs $6.50 to become a member of a company that streams movies. With a membership, it costs $2.40 to stream each movie. Paulo wants to become a member and stream movies, and he plans to spend a total of $20. How many movies does he stream?
Write an equation to represent this situation
Quick plz lolol
Answers
He can watch 5 movies without going over $20
6.5+2.4(5)
Please Help!! i can’t fail this!!
Melissa orders 4 books for $5.95 each. The total shipping cost on her order is $3.50.
How can Melissa find the total cost of her order and the shipping?
A. Add $5.95 and $3.50. Then, multiply the sum by 4.
B. Multiply $3.50 by 4. Then, add the product to $5.95.
C. Multiply $5.95 by 4. Then, add the product to $3.50.
D. Multiply $5.95 by 4. Then, multiply the product by $3.50.
Answers
Answer:
C: Multiply $5.95 by 4. Then, add the product to $3.50.
Answer:c
Step-by-step explanation:
the volume of a cylindrical tank is 936cubic meter. if its height is 6 meter determine the base area of the tank
Answers
Answer:
156 square m
Step-by-step explanation:
[tex]volume \: of \: cylindrical \: tank \\ = area \: of \: base \times height \\ \\ 936 = area \: of \: base \times \: 6 \\ \\ area \: of \: base = \frac{936}{6} \\ \\ area \: of \: base = 156 \: {m}^{2} [/tex]
8x+5=29;3
can someone pls explain :)
Answers
Answer:
Step-by-step explanation:
8x+5=29, x=3
subtract 5 on each side
8x=24
then divide by 8 on both sides to isolate x
x=3
1) move +5 to the right side
8x=29.3
2) divide 8x on both sides
x= 29.3/8
3) answer
x=3.6625
a policeman and atheif are equidistant from the jewel bo upon considering jewel box as origin the position of policeman is(0,5).if the ordinate of the position of the theif is zero thn write the coordinates of the position of the theif
Answers
Answer:
(-5, 0) or (5, 0)Step-by-step explanation:
Coordinates given:
Policeman = (0, 5)Box with jewel = (0, 0)Thief = (x, 0)The distance from the policeman to the box with jewel is:
5- 0 = 5 unitsThe distance from the jewel box to the thief is also 5 units as they are both are equidistant from the jewel box
The x- coordinate is:
|x| = 5 ⇒ x = ± 5- 5 or 5 as it gives the same distance of 5 unitsSo his coordinates are (-5, 0) or (5, 0)
move polygon ABCD to a location of your choice on the coordinate plane and change the orientation of EF. be sure that the preimage ABCD does not overlap the image AEFBEFCEFDEF when you’re through. next find the perpendicular distance between each vertex of ABCD and EF. enter the values in the table. do the same for the perpendicular distance between each vertex of the reflected shape AEFBEFCEFDEF and EF. record all your answers in decimal place
Answers
Answer:
Step-by-step explanation:
F = 0.272727...
100f = (100) (0.272727...)
100f = ?
Answers
Answer:
Step-by-step explanation:
f=0.272727...
100f=27.272727...
99 f=27
f=27/99=3/11
.For two matrices (a 3)=(-4 3), what is the value of a?
Answers
Answer:
-4
Step-by-step explanation:
[tex]\begin{pmatrix}a&3\end{pmatrix}=\begin{pmatrix}-4&3\end{pmatrix}[/tex]
If the second term is equal, 3 = 3 and the whole matrices are equal,
that means the first terms are equal.
Hence, [tex]a=-4[/tex]
SOMEONE PLEASE HELP ME
1. A school photo has dimensions of 2 1/4 inches by 2 3/4 inches. What are the dimensions of the school photo if enlarged by a scale factor of 7?
2. The scale on a map is 1 inch equals 2 1/2 miles. The distance between two streets on the map is 1 3/4 inches what is the actual distance between the streets?
Answers
Answer:
Step-by-step explanation:
2 1/4 *7=14 7/4 = 15 3/4
2 3/4 *7 =14 21/4 = 19 1/4
2 ) 1 in 2 1/2 miles
1 3/4 in ??
(2 1/2 * 1 3/4)/1 =
5/2 *7/4 =35/8 = 4 3/8
The enlarged area of the photo frame will be 43⁵/₁₆ square inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
The area will be calculated as,
Area = 2¹/₄ x 2³/₄
Area = ( 9 / 4 ) x ( 11 / 4 )
Area = 99 / 16
Enlarged by factor 7.
Area = (99 x 7 ) / 16
Area = 43⁵/₁₆
To know more about an expression follow
https://brainly.com/question/10435896
#SPJ2
If BC = 61 and AB = 82, what is the length of AC?
Answers
Answer:
54.8
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2.
Plug the given values in to get 61^2+b^2=82^2
61^2 is 3,721 and 82^2 is 6,724.
6,724-3,721 is 3,003.
The square root of 3,003, rounded to a reasonable value, is 54.8.
The length of AC is 54.8.
what is one method to find the measure of angle B?
Answers
Answer:
if I'm not wrong it should be the second answer choice
Answer:
A
Step-by-step explanation:
did the quiz
Plz help. Attachment below
Answers
Answer:
The value of k is 1.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
For this question :
[tex] {( \frac{4}{5} )}^{2} \times {( \frac{4}{5} )}^{5} = {( \frac{4}{5} )}^{6k + 1} [/tex]
[tex] {( \frac{4}{5}) }^{2 + 5} = {( \frac{4}{5}) }^{6k + 1} [/tex]
[tex]by \: comparison[/tex]
[tex]2 + 5 = 6k + 1[/tex]
[tex]7 = 6k + 1[/tex]
[tex]7 - 1 = 6k[/tex]
[tex]6k = 6[/tex]
[tex]k = 6 \div 6[/tex]
[tex]k = 1[/tex]
Answer:
k = 1
Step-by-step explanation:
[tex]a^{m} * a^{n} = a^{m+n}\\\\(\frac{4}{5})^{2}*(\frac{4}{5})^{5}=(\frac{4}{5})^{6k+1}\\\\\\(\frac{4}{5})^{2+5}=(\frac{4}{5})^{6k+1}\\\\(\frac{4}{5})^{7}=(\frac{4}{5})^{6k+1}[/tex]
Compare the powers,
6k + 1 = 7 {subtract 1 from both sides}
6k = 7 - 1
6k = 6 {Divide both sides by 6}
6k/6= 6/6
k = 1
The rule that maps each domain value to its range value is f(x) =
Answers
Answer:
1/2
The next answer is, yes
edge2020
is 32.5 bigger or less than 150
Answers
Answer:
less
Step-by-step explanation:
Answer:
less than the answer is less then
-3 (1/-3)=1
What property is this?^
Answers
Plz help me I will give brainlest!!!
Answers
If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x
Answers
Answer:
- 2x² + 7x + 1
Step-by-step explanation:
f(x) - g(x)
= x² + 2x - 6 - (3x² - 5x - 7) ← distribute parenthesis by - 1
= x² + 2x - 6 - 3x² + 5x + 7 ← collect like terms
= - 2x² + 7x + 1
Given the diagram below, what is cos(45°)?
Answers
Answer:
Answer is D
Hope this helps you
Mark me as brainliast
As we can see, this is a 45 45 90 triangle
The legs of the triangle are equal and the hypotenuse = leg * sqrt(2)
In this case,
The hypotenuse = 6 * sqrt(2)
Cos(45) = 6 / (6 * sqrt(2))
The 6's cancel each other out and you're left with:
1 / sqrt(2)
Jayana is trying to run a certain number of miles by the end of the month. If Jayana is 30% of the way to achieving her goal and she has already ran 9 miles, how many miles is she trying to run by the end of the month?
Answers
Answer: 30 miles
Step-by-step explanation: so first if Jayana is 30% of the way to achieving her goal and she has already ran 9 miles. You will have to convert 30% into a decimal. 30% is the same thing as 0.3 so, as that being said you will have to divide 9 by 0.3 because we are trying to find the miles.
