Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Do 4 problems Oo oo
Check
Answers
This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram
Answer:
45 square inches
Step-by-step explanation:
From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =
Total Surface Area of the Square pyramid = 2bs + b²
Where s = Height of the square pyramid
b = Edge length of the square pyramid
From the attached diagram, we can see that:
s = 6 inches
b = 3 inches
Total Surface Area of the Square pyramid = 2bs + b²
= 2 × 3 × 6 + 3²
= 36 + 9
= 45 square inches.
Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches
Related Questions
Quadrilateral WXYZ is a rhombus. What is the measure of < XWZ?
A) 64
B) 26
C) 52
D) 32
Answers
Answer:
C. 52°Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below.
Since all the sides and angles of a rhombus are the same, hence, all the right angled triangle in each quadrant are also the same.
From the diagram, < XWZ = < XWV + < VWZ and < XWV = < VWZ
Therefore < XWZ = < VWZ + < VWZ
< XWZ = 2<VWZ
let us calculate the angle <VWZ first.
From ΔVWZ, <WVZ +<WZV + <VWZ = 180°... 1
From the diagram <WVZ = 90°, <WZV = <VZY = 64°
On substituting into 1
90°+64°+ <VWZ = 180°
154°+ <VWZ = 180°
<VWZ = 180°-154°
<VWZ = 26°
Since < XWZ = 2<VWZ
< XWZ = 2(26°)
< XWZ = 52°
Hence the measure of < XWZ is 52°
5 Adoncia makes a scale drawing of the front of
the Lincoln Memorial. She uses a scale of 15 ft
in the monument to 1 in. in the drawing. The
front of the monument is about 80 ft high and
200 ft long. Will Adoncia's drawing fit on an
sin.-by-11 in. sheet of paper? Explain.
8
Answers
Answer:
Since the length of the drawing is 200 ft. and equivalent to 13.33 in. with a scale of 15 ft to 1 in. and the length of the paper is 11 in., Adoncia's drawing will not fit on the sheet of paper
Step-by-step explanation:
The given parameters are;
The scale of the drawing is 15 ft = 1 in.
The actual dimensions of the monument;
Height = 80 ft.
Length = 200 ft.
Therefore, we have;
The required dimension of the paper height = 80/15 = 16/3 = 5.33 in.
The required dimension of the paper length = 200/15 = 40/3 = 13.33 in.
The given paper dimension by 11 in. which is of a dimension of that of a standard letter paper size of 8.5 in. by 11 in.
Drawing length, 13.33 in. > Paper length > 11 in.
Adoncia's drawing will not fit on the sheet of paper.
a solid pyramid with a square base with side 12 cm and height 25 cm is made of metal. The metal is melted to form spherical ball bearings of radius 7 mm. How many pyramids are needed to form 2490 ball bearings?
Answers
Answer:
3 pyramids.
Step-by-step explanation:
The volume of one pyramid is 1/3 * b^2 * h
= 1/3 * 12^2 * 25
= 1200 cm^3.
The volume of one ball bearing = 4/3 * π * 0.7^3
= 1.43676 cm^3.
Therefore the volume of 2490 ball bearings = 2490 * 1 .43676
= 3577.53 cm^3.
So we need 3577.53 / 1200 = 2.98 = 3 pyramids.
Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28
Answers
Answer:
AB=14
Step-by-step explanation:
First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.
Then you distribute the two and get 4x-8=28.
Then you add 8 to 28 and get 36.
Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.
So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.
So it is 2(9)-4 which is 18-4 which equals 14.
10 to the third power divided by 10 to the third power
Answers
Any expression divided by itself equals 1
If James can read two pages in three minutes how long will it take him to read a 250 page novel? 750 minutes 500 minutes 375 minutes 167 minutes
Answers
Answer:
750 minutes
Step-by-step explanation:
james read 2 pages in 3 minutes so to read 250 pages it will be 250 x 3=750
ghrhrtjtjtjttjtjjrryjutkkyjktrjjetjrkjrjrjdjrkrjjrjrjrjrrrtjr
Answers
Answer:
s.jnufdhgvsgvru
Step-by-step explanation:
calculate the area of a rectangle with length of 8m and a width of 4m
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \: {m}^{2} }}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle( l ) = 8 m
Width of a rectangle ( w ) = 4m
Area of a rectangle ( A ) = ?
Finding the area of a rectangle having a length of 8m and a width of 4m
[tex] \boxed{ \bold{ \sf{area \: of \: a \: rectangle = length \times width}}}[/tex]
plug the values
⇒[tex] \sf{ area \: of \: a \: rectangle = 8m \times 4m}[/tex]
Multiply the numbers : 8 and 4
⇒[tex] \sf{area \: of \: a \: rectangle = 32 \: {m}^{2} }[/tex]
Hope I helped!
Best regards!!
Consider the variable race. What frequency of observations are Black and what frequency are Latino? A. 7 are black and 5 are Latino B.7 are Black and 4 are Latino C. 4 are black and 8 are latino D.8 are black and 4 are Latino E. 1 is black and 1 is Latino
Answers
Answer:
The answer is 8 are Black and 4 are Latino
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B
Answers
Answer:
C) 31.2
Step-by-step explanation:
The length of AB can be found from the Pythagorean theorem:
AB² = AD² +BD²
AB = √(25 +144) = 13
All of the right triangles are similar, so ...
BC/BD = AB/AD
BC = BD(AB/AD) = 12(13/5)
BC = 31.2 . . . units
Answer:
C
Step-by-step explanation:
what is 0.86 x 0.24 help me with this.
Answers
Answer:
0.86 x 0.24 = 0.2064
Step-by-step explanation:
An Axiom in Euclidean geometry states that in space, there are at least three points that do
Answers
Answer:
...not lie on the same plane.
Step-by-step explanation:
Ariana borrowed some money from her friend in order to help buy a new video game
system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per
week. Write an equation for L, in terms of t, representing the amount Ariana owes
her friend after t weeks.
Answers
Answer:
L = 150 - 15t
Step-by-step explanation:
Money borrowed by Ariana = $150
Money she returns each week = $15
Amount of borrowed money will decrease by $15 each week.
In 1 week she will return $15
in 2 week she will return $15*2 = $30
in 3 week she will return $15*3 = $45
...........................
similarly after t week
money she will return = Money she returns in 1 week* no of weeks
money she will return in t weeks = 15*t = 15t
where 15t unit is dollar
So, Amount of borrowed money will decrease by $15t in t week.
Amount of money she woes after t week = Money borrowed by Ariana - money returned in t weeks
Amount of money she woes after t week = 150 - 15t
Since L represents the amount Ariana owes ,her friend after t weeks
L = 150 - 15t is the correct answer
A woman bought a new color television with
a $40 down payment and 16 monthly pay-
ments of $20 each. What was the total cost
of the television?
18-A $450
18-B $360
18-C $320
18-D
$280
Answers
Answer:
B
Step-by-step explanation:
The total cost of the television is $360 if a woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
[tex]\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}[/tex]
It is given that:
A woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
Down payment = $40
Number of months = 16
Per month payment = $20
The total cost of the television = 40 + 16(20)
The total cost of the television = 40 + 320
The total cost of the television = $360
Thus, the total cost of the television is $360 if a woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
Learn more about the debt here:
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Before each rainstorm, Ozzie put out rain gauges to measure how many inches of rain fell during the storms that month?
Answers
there isn't enough information
you need to put the image or the amount of inches of rain to get an answer
If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?
Answers
Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
You watch a football game. The team you cheer for loses 8 yards on four plays in a row. Which expression shows the total loss in yards?
Answers
Answer:
Lose 8 yards on four plays in a row
Answer:
-8x4
Step-by-step explanation:
1) 3x²y3 . 3y4
A) 4x®y4
C) 9x?y?
B) -2x®ys
D) 2x®y4
Answers
please help, thank you!!
Answers
Answer:
D (4)
Step-by-step explanation:
So we have the function:
[tex]f(t)=3t^2+5t+6[/tex]
And we want to find f(-3).
To do so, substitute -3 for x. Thus:
[tex]f(-3)=3(-3)^2+5(-3)+6[/tex]
Square:
[tex]f(-3)=3(9)+5(-3)+6[/tex]
Multiply:
[tex]f(-3)=27-15+6[/tex]
Add:
[tex]f(-3)=18[/tex]
So, our answer is D (4)
2) Subtract –3x2 + 5x – 9 from 2x2 + 3(x2 – 6).
8x2 – 5x - 9
Eliminate
A)
ling
2x2 + 5x -9
B)
C) 5x2 + 5x – 27
D) 6x2 + 5x – 27
Answers
Answer:
[tex]2x^{2}[/tex]+5x+9
Step-by-step explanation:
The difference of the given expression is 8x²-5x-9.
The given expressions are -3x²+5x-9 and 2x²+3(x²-6).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, subtract -3x²+5x-9 from 2x²+3(x²-6)
2x²+3(x²-6)-(-3x²+5x-9)
= 2x²+3x²-18+3x²-5x+9
= 8x²-5x-9
Hence, the difference of the given expression is 8x²-5x-9.
To learn more about the subtraction of expression visit:
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solve the equation 9=8(n+4)-7
Answers
Answer:
n= -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
2
Ellie drove at a constant rate of 60 miles per hour. She drove for a hours before lunch and for b hours
after lunch. The total number of miles she drove can be expressed as 60(a + b) or as 60a + 60b.
Describe the meaning of each expression.
Answers
Answer:
60(a+b) means that you would have to distribute
While 60a+ 60b is already in it's simplest form
help fast i am lazy
Answers
Answer:
Step-by-step explanation:
yes
An airplane flew across the Pacific Ocean. The table shows the amount of time and the distance traveled when the airplane was traveling at a constant speed. What is the distance traveled for 2 hours? *
Answers
Answer:
Step-by-step explanation:
time(hours) | distance traveled(miles)
_____________|_______________________
2 | 1100
_____________|_______________________
3 | 1650
_____________|_______________________
6 | 3300
The distance covered by the airplane after 2 hours given a constant speed is 1100 miles
Since, the speed of the plane is said to be constant ;The speed of the plane can be calculated from the information in the table thus : Speed = distance ÷ time Distance traveled = 1650 miles ; time = 3 hours Speed = 1650 / 3 = 550 miles per hour Hence, the speed of the airplane = 550 miles per hour Distance covered in 2 hours will be : (Speed × time) Distance covered in 2 hours = (550 × 2) = 1100 milesThe distance covered by the plane in 2 hours is 1100 miles
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After three years, the value of a new car decreased from $25,000 to
$14,000. What was the percent decrease in the value of the car?
Answers
Answer:
56% decreaseStep-by-step explanation:
In this problem we are required to find the percentage decrease in the value of a car that originally cost $25,000
if the present value is now $14,000
we can solve for the percentage decrease by presentment the original cost of the car by the original cost and multiplying by 100
i.e = (14,000/25,000)*100
= (14/25)*100
= 0.56*100
= 56%
Hence the value of the car has decreased by 56%
Calculus is the relationship between change (in forms of rates, slopes, differentials) and content (measure by examples: volume, area, distance) It's a field that connects how big something is to how much it grows when small changes are made or, conversely, how knowing the rate that something is changing can tell you how much "stuff" you've accumulated.
a. True
b. False
Answers
Answer:
a. True
Step-by-step explanation:
Calculus is the mathematical study of continuous change. Calculus is usually developed by working with very small quantities. Calculus has two major branches, which are, differential calculus and integral calculus. Differential calculus involves instantaneous rates of change, and the slopes of curves, while integral calculus deals with the accumulation of quantities, and areas under or between curves.
Which equation represents the graphed function?
A)-3x + 2 = y
B) -2/3x+2=y
C)3/2x-3=y
D)2x-3=y
Answers
Answer:
(C) 3/2x-3=yStep-by-step explanation:
The point on the x-axis is 2
The point on the y - axis is -3
For a parade, attendance was rounded as 10,000 to the nearest hundred. What was the
greatest and least number of people that could have attended the parade? Explain your
answer.
Answers
Answer: (9,950 to 10,049)
Step-by-step explanation:
The nearest hundred is the third digit (counting from the right).
When we round up/down, we must look at the previous digit (the second in this case).
If the digit is larger than 5, we round up
if the digit is 5 or less, we round down.
Then if the rounded number is 10,000.
The rounded down version will be:
10,049
(49 < 50, then we should round down to 10,000)
The rounded up version will be:
9,950.
this number would be the smallest number that can be rounded up to 10,000.
Then the possible range is:
(9,950 to 10,049)
Sebastien hand-crafts circular braided rugs. The graph shows the prices of various sizes of his rugs. A customer ordered 3 identical rugs for a total of $1,350. Use the graph to determine the radius of each rug in the order. (Enter numerical answer only).
Please help.
Answers
Answer:
The radius of each rug on the order is 6 ft
Step-by-step explanation:
The graph shows the relationship between the price of a rug and the radius of the rug
The number of rugs ordered by the customer = 3 rugs
The total cost of the rugs ordered by the customer = $1,350
Therefore, the cost of each rug = $1,350/3 = $450
The radius of the rugs as determined from the chart
At $450, the radius of the rug = 6 ft
Therefore;
Given that all the rugs are identical, the radius of each rug on the order = 6 ft.
A batch of cookies calls for 1/4 cup of flour. You want to make 2/3 of a batch. How much flour will dimitra need to make 2 1/4. Batches of cookies
Answers
Answer: 1/4
Step-by-step explanation: You will need 1/4 of cup flour to make 1/2 of a bath of cookies.