Answer: I explained it down below in the picture.
A square cake measures 6 units by 6 units by 4 units. The cake falls into a vat of frosting and comes out frosted on all six faces. The cake is then cut up into cubes, each measuring 1 unit on an edge How many of these cubes will have exactly one face frosted?
Answer:
Out of 36 cubes on each face, the 16 cubes not on an edge are the only ones frosted on a single face. 16 on each face x 6 faces = 96 cubes frosted on one face.
Step-by-step explanation:
Hope it helps!
There are 64 cubes that are frosted on one side only.
What is a cube?"A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron."
What are 3D shapes?"Shapes in three-dimensions or as we view them in real life are called 3D shapes. Examples of 3D shapes are cubes, cuboids, spheres, cylinders, cones and frustum of cones."
Each face will have three types of cubes on it:
1. Corner Cubes - Frosted on three adjacent sides
2. Edge Cubes - Frosted on two adjacent sides and on the edge between two corner cubes.
3. Central Cubes - Frosted on one side and in the middle of all edges of the face.
Thus, the number of cubes that have only one side as frosted are the total number of central cubes. They can be calculated as follows for all 6 faces:
[tex]Cubes_{central}[/tex] = (6−2)(6−2)+(6−2)(4-2)+(6−2)(4−2)+(6−2)(6−2)+(6−2)(4−2)+(6−2)(4−2)
= [tex]2 (4)^{2}+4(4)(2)[/tex]
= 32+ 32
= 64
Thus there are 64 cubes that are frosted on one side only.
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Figure A is reduce to figure b
A.What is scale factor
B.If A has area 15cm2 find the area of b
Answer:
If it’s up tomorrow I will
Step-by-step explanation:
Line segment EP is an angle bisector.
M
Answer:
∠ 2 = 26°
Step-by-step explanation:
Since EP is an angle bisector then ∠ 1 = ∠ 2
∠ 2 = [tex]\frac{1}{2}[/tex] ∠ GEF = [tex]\frac{1}{2}[/tex] × 52° = 26°
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9514 1404 393
Answer:
6x +5y = 45x +y = 8x = 5 . . . jars of jamy = 3 . . . packages of bread mixStep-by-step explanation:
The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).
6x +5y = 45 . . . . . . total cost
x + y = 8 . . . . . . . . . number of items
__
These equations can be solved a number of ways. Substituting for y, we get ...
y = 8 -x
6x +5(8 -x) = 45
x +40 = 45
x = 5 . . . . . . . . . jam
y = 8 -5 = 3 . . . mix
There are 5 jars of jam and 3 packages of bread mix in the gift basket.
the number are measurements of radius , diameter, ans circumference of circles A and B. Circle A is smaller than Circle B.
Which number belongs to which quantity? 2.5, 5, 7.6, 15.2, 15.7, 47.7
Step-by-step explanation:
a diameter is always twice the radius.
the only pairs I can see in the list, where one number is twice the other :
2.5 and 5
7.6 and 15.2
so,
2.5 is the radius of A
5 is the diameter of A
7.6 is the radius of B
15.2 is the diameter of B
15.7 is then the circumference of A (as the smaller of the remaining 2 numbers)
47.7 is the circumference of B
we can also check via the formula for circle circumference :
c = 2×pi×r
and yes, the rounded c for r=2.5 is 15.7, and for r=7.6 is 47.7
can anyone provide me a link for add maths igcse textbook 2nd edition exercise answers?? please its urgent
Answer:
yes
Step-by-step explanation:
come with your money
It takes 80 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answer:
Since you're looking for how many acres can be planted per pound of seed, you'd have to divide 9 by 80.
Once divided, you would get 0.1125.
0.1125 ACRES CAN BE PLANTED PER POUND OF SEED.Step-by-step explanation:
Every time Carrie bakes a batch of brownies, she uses 1/8 cup of chocolate. If she has 1/2 cup(s) of chocolate remaining, how many batches of brownies can Carrie make? Input your answer as a whole number.
Answer: 4 batches
Step-by-step explanation: 1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)
Mario volunteers 1 day each month at the animal shelter. For y days he cleans for 5.5 hours each day. On the other days he walks dogs for 75 minutes.
Part A. Write an expression for the total number of minutes Mario volunteers each year at the animal shelter.
Part B. Simplify the expression.
Enter the correct answers in the boxes.
A. Expression:
B. Simplified form:
Part A: The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365
Part B: The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes
Number of days Mario volunteers each month at the animal shelter = 1
Number of hours Mario cleans for y days = 5.5 hours
Number of hours Mario each day = 5.5/y
Number of minutes Mario uses to walk dogs for y days = 75 minutes
Number of hours Mario uses to walk dogs for y days= 75/60
Number of hours Mario uses to walk dogs for y days= 1.25 hours
Number of hours Mario uses to walk dogs each day= 1.25/y
Total number of hours Mario volunteers in a day = Number of hours Mario cleans each day + Number of hours Mario uses to walk dogs
Total number of hours Mario volunteers in a day = 5.5/y + 1.25/y
Total number of hours Mario volunteers in a day = 6.75/y
Convert the number of hours to minutes
1 hour = 60 minutes
Total number of minutes Mario volunteers in a day = (6.75/y) x 60
Total number of minutes Mario volunteers in a day = (405/y) minutes
Number of days in 1 year = 365
The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365
The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes
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if a scientist gets unexpected results during the first trail of an experiment what should he or she do next
If they get unexpected results they could note what they could've done wrong or what they could change in a next trail of experiments. Or look back and see what different happened to they could've hypothesized. There could be many different courses on what to do next.
Which expressions result in a product that has a best estimate of 80? Select all that apply.
A.
0
.
82
×
112
B.
42
.
3
×
21
C.
1
.
2
×
78
D.
0
.
19
×
37
E.
8
×
9
.
62
Answer:
E
Step-by-step explanation:
E. 8 x 9.62 = 76.96
Estimate 76.96, it will be 80
find the equation of the linethe line passes through the points (5,2) and (-4,-4)
Answer:
[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]
Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope
[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]
substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b
[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]
substitute the slope and the value for b into the equation to get the answer
[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]
determine if equation has one solution ,no solution ,or an infinite number of solutions justify the answer
-4 ( x + 2 ) = - 4x -5
Answer:
no solution
Step-by-step explanation:
- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4
- 4x - 8 = - 4x - 5 ( add 8 to both sides )
- 4x = - 4x + 3 ( add 4x to both sides )
0 = 3 ← False statement
This indicates the equation has no solution
2. Find the value of "a" given the vertex and a second point when the vertex is (3,-1) and the graph passes through (5, 2)
Answer:
a = 3/4
Step-by-step explanation:
Given the vertex, (3, -1) and the other point, (5, 2):
We could substitute these values into the vertex form of the quadratic equation:
y = a(x - h)² + k
Where:
(h, k ) = vertex
a = determines whether the graph opens up or down, and makes the graph wider or narrower.
If a is positive, the graph opens up; if a is negative, the graph opens down.If a is between 0 and 1, the graph is wider than the parent function.If a > 1, the graph is narrower than the parent function.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":
y = a(x - h)² + k
2 = a(5 - 3)² - 1
2 = a(2)² - 1
2 = a(4) - 1
Add 1 to both sides:
2 + 1 = a(4) - 1 + 1
3 = 4a
Divide both sides by 4 to solve for a:
3/4 = 4a/4
3/4 = a
Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.
The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.
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plzzzzzzzzzzz help
it is known that 3
Answer: Three is the smallest number we need to create a pattern
Step-by-step explanation: .__.
a giant bar of gourmet candy weighing 18 ounces costs $13.50 what is the price per ounce?
please answer bc my life actually depends on it
Answer:
The answer is ¢0.75
Step-by-step explanation:
All you have to do is divide 13.50 by 18 and you get your answer which is ¢0.75 cents.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
pls i need help 20 charscter
Ok,so i did the math and the answer is 6
Trigonometric identities: Performance task
#1
[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]
[tex]\\ \sf\longmapsto 1-cos^2x[/tex]
[tex]\\ \sf\longmapsto sin^2x[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]
[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
The simplified form of each of th given Trigonometric expressions is given below.
What are trigonometric expression?The expressions involving trigonometric functions are called trigonometric expressions.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the trigonometric expressions.
{1} -
{1 + cos(x)}{1 - cos(x)}
{1² - cos²(x)}
sin²x
{2} -
{1/cot²(x) - 1/cos²(x)}
{sin²(x)/cos²(x) - 1/cos²(x)}
{sin²(x) - 1}/{cos²(x)}
{- cos²(x)/cos²(x)}
- 1
{3} -
sec²(π/2 - x){sin²(x) - sin⁴(x)}
sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}
sin²(x) cos²(x) × 1/sin²(x)
cos²(x)
Therefore, the simplified form of each of th given Trigonometric expressions is given above.
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Estimate a 15% tip on a lunch bill of $78.42 by first rounding the bill amount to the nearest ten dollars.
Answer:
The tip is $12
Step-by-step explanation:
78 rounds up to 80.
15x80=1200.
1200/100=12.
Original:_________
New: 205lbs
%Increase: 19%
Answer:
$172.27
Step-by-step explanation:
Original: x
New: 205
Percent Increase : 19%
205 = 119% of x
205/119 * 100 = 20500/119 = 172.26890... ≈ 172.27
-Chetan K
Can someone please tell me how to solve this and this type of questions?
Answer:
It's 6 to the left and 8 down
Jerome bought screen for 59 cents per sq ft. how much did 12 sq ft cost
Answer:
$7.08
Step-by-step explanation:
59 cents = 1 sq ft
? = 12 sq ft
To get from the 1 to the 12 we multiply by 12, so we must do the same to the 59 cents.
0.59 * 12 = 7.08
Therefore, the cost of 12 sq ft is $7.08.
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Write this number in
of word form:
205,028.5
Two hundered five thousand, twenty-eight and one half
PLZZZ HELPPP REALLLY QUICKKK PLZZZ I NEED HELPPPPP ASAPPPP
Answer:
52
Step-by-step explanation:
38+14=52
Hope that helps
can i get help pls help
Answer:
Step-by-step explanation:
what is 2×1+5÷2 in decimals
Answer:4.5
Step-by-step explanation:(2x1)+(5/2) which equals 4.5
Which of the graphs below shows a function? A,C or D?
Answer:
C
Step-by-step explanation:
Use the vertical line rule to see if a graph is a function
Answer:C
Step-by-step explanation: no x values repeat. It passes the vertical line test
Can someone please factor this polynomial:
y = -x^4-15x^3-75x^2-125x
Answer:
(−x)(x+5)(x+5)(x+5)
Step-by-step explanation:
who wants to plays cold war
it's probably pretty cold if you ask me;)
Alfred has nine times as many cookies as Jerry. Together, they have forty cookies. How many cookies do each person have?
Alfred has cookies and Jerry has cookies.
(Note: Please answer in numeric form.)
Answer:
36 cookies- number alfred has
Step-by-step explanation:
x+9x=40
10x=40
x=4 = number of cookes jerry has
9 * 4= 36 cookies- number alfred has