Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be the size of the original pyramid. The Great Pyramid is approximately meters tall and each side of the base is approximately meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be 120the size of the original pyramid. The Great Pyramid is approximately 147 meters tall and each side of the base is approximately 230 meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Answer: 972 m^3 of sand
Step-by-step explanation:
Height of original pyramid = 147 meters
Each side of the base = 230 meters (that is both the base length and base width).
If replica pyramid is to be 1/20 the size of the original pyramid :
Size dimension of replica pyramid will therefore be,
Height = 1/20 × 147 = 7.35metres
Each Base = 1/20 × 230 = 11.5 metres
To calculate the amount of sand required, we can get these by Calculating the volume of the pyramid which us the amount of space occupied by an object.
The volume of a pyramid is given by:
(Base length × base width × height) ÷ 3
( 7.35 m × 11.5 m × 11.5 m) / 3
972.0375 m^3
That means the volume of the pyramid is 972.0375 m^3
Fourteen subtracted from the product of a number and -3 is 25
Answer:
5.5 is the number.
Step-by-step explanation:
14-(-2x)=25
Solve the equation.
2x=11
x=5.5
The value of number is -13.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Fourteen subtracted from the product of a number and -3 is 25
let the number be x
product of a number and -3= -3x
and, Fourteen subtracted from the product of a number and -3
= -3x- 14
So, -3x -14 = 25
-3x = 25+14
-3x = 39
x= -13
Hence, the value of x is -13.
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Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.
Answer: 4/8
Step-by-step explanation:
From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.
To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:
= 1 2/8 - 6/8
= 4/8
She gave 4/8 to Mr Andrews.
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Answer:
the answer you are looking for is b=7
can't figure this out.. please help if you can.
Answer:
1725 square feet
Step-by-step explanation:
[tex]area \: of \: yard = \frac{1}{2} (50 + 65) \times 30 \\ = 115 \times 15 \\ = 1725 \: {ft}^{2} \\ [/tex]
Answer:
1725 sq ft
Step-by-step explanation:
50+65=115
115/2=57.5
57.5*30=1725
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
Will mark Brainliest please answer
Answer:
A. (-1,-2)
Step-by-step explanation:
hope this helps :) and can i ask is that a leg next to the screen?
A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2
Answer:
Area = (1/2) * side 1 * side 2 * sine (73 degrees)
Area = (1/2) * 6 * 8 * .9563
Area = 22.9512 square feet
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Area = ½ a b sinC
= ½ × 6 × 8 × sin(73)
= 22.9513141431
To the nearest tenth: 23.0 ft²
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
A little boy goes shopping and purchases 12 tomatoes. On the way home, all but 9 get mushed and ruined. How many tomatoes are left in a good condition?
Answer:
3
Step-by-step explanation:
its so easy all you have to do is 12-9=3
Answer:
9
Step-by-step explanation:
he has 12 tomatoes in total
all but 9 get mushed and ruined.
that means that he has 9 left and the other 3 are ruined
hope this helped :D
Which is the net for this rectangular prism? ASAP
Answer:
The last 4th one is correct
8+16÷4·3+5·4·25·2 =
solve the equation
Answer:
1020
Step-by-step explanation:
8+16÷4·3+5·4·25·2
PEMDAS
Multiply and divide from left to right
8+4·3+5·4·25·2
8+12+5·4·25·2
8+12+1000
Then add
1020
please help immediately very confused
Answer:
4.5
Step-by-step explanation:
162/360=0.45
0.45*10=4.5
Answer:
4.5units
Step-by-step explanation:
arc length's formula:2πr(∆/360)
remember, 2πr: circumference of a circle:
10units according to diagram.
∆=162°
using formula, 10(162°/360)
10*162/360 : 162/36
:4.5 units.
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.
1 point
Find the volume of the following pyramid. Round to the nearest tenth if
needed. *
O V= 60 in cubed
OV= 20 in cubed
V= 30 in cubed
picture above!
Answer:
V=20 in cubed
Step-by-step explanation:
The formula to find the volume of a pyramid is L×W×H÷3
L×W=15 or 5×3=15 15×H=60 or 15×4=60 60÷3=20 in cubedTherefore V =20 in cubed
Hope that helped! If you have any further questions please message me! Good luck!
Four students were asked to label angles in pairs of triangles. Their drawings are shown below. Tatyanna Triangle A B C. Angle B is 54.3 degrees and angle C is 61.2 degrees. Triangle X Y Z. Angle Z is 64.5 degrees and angle Y is 54.3 degrees.[Not drawn to scale] Simon Triangle A B C. Angle A is 63.2 degrees and angle B is 58.4 degrees. Triangle X Y Z. Angle Z is 63.2 degrees and angle Y is 58.4 degrees.[Not drawn to scale] Anders Triangle A B C. Angle A is 59.8 degrees and angle B is 60.6 degrees. Triangle X Y Z. Angle X is 59.8 degrees and angle Z is 60.6 degrees.[Not drawn to scale] Kai Triangle A B C. Angle B is 60.9 degrees and angle C is 57.7 degrees. Triangle X Y Z. Angle X is 61.4 degrees and angle Z is 57.7 degrees. [Not drawn to scale] Which student labeled the triangles such that Triangle A B C is similar to X Y Z? Tatyanna Simon Anders Kai
Answer: I’m confident with Kai being the correct answer
Kai labeled the triangles such that ΔABC is similar to ΔXYZ.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.
As per Tatyanna:
In ΔABC, ∠B = 54.3°, ∠C = 61.2°
Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°
In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°
Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°
As per Simon:
In ΔABC, ∠A = 63.2°, ∠B = 58.4°
Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°
In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°
Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°
As per Anders:
In ΔABC, ∠A = 59.8°, ∠B = 60.6°
Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°
In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°
Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°
As per Kai:
In ΔABC, ∠B = 60.9°, ∠C = 57.7°
Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°
In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°
Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°
Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.
Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.
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Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest dollar.
Answer:
14,400
Step-by-step explanation:
i=prt
p=40,000
r=0.09 have to turn percent to decimal
t=4
(40,000)(0.09)(4)
Answer:
Well, this is simple.
I=PRT
(Interest= Principle*Rate*Time)
So, simply divide both sides by PR
T=I/PR
Your answer is C: T = I divided by the quantity P times R
(This should have been represented as: T= I/PR)
~Hope this helps
Step-by-step explanation:
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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Simplify the polynomial expression
(-2m2 + m - 15) - (4m2 + 7m - 2)
Answer:
-6m^2-6m-13
Step-by-step explanation:
(-2m^2+m-15)-(4m^2+7m-2)
-2m^2+m-15-4m^2-7m+2
-6m^2-6m-13
Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
What is the value of 9x - 4y if x = 3 and y = 2
Answer:
19
Step-by-step explanation:
plug both values in
Answer:
19
Step-by-step explanation:
Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:
9x - 4y
9(3) - 4(2)
27 - 8
19
What is the direction of the vector [tex]r(t)=(1,\sqrt{3} )[/tex]?
1
[tex]\sqrt{2}[/tex]
pi/6
pi/3
Answer:
π/3
Step-by-step explanation:
The vector is in the first quadrant. The angle is:
tan⁻¹(√3 / 1) = π/3
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
Simplify 8^2/3 -√9×10^0+(1/144)^-1/2
Answer:
13
Step-by-step explanation:
We have the following expression:
[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]
If we do part by part, we have remains:
[tex]8^{\frac{2}{3} }[/tex] = 4
8 = 2^3
Therefore, the exponents 3 * 2/3 = 2 are multiplied
2^2 = 4
[tex]\sqrt{9}*10^{0}[/tex] = 3
We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3
[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12
When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.
So, we have:
4 - 3 + 12 = 13
I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10
A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
Uh here's what I did:
-2x-6= -10
Add 6 to both sides.
-2x=-4
Divide both sides by -2
x=2
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
A) Permutation
B) Combination
C) Circular permutation
Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
Answer:
The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.
Would really appreciate a brainliest! Hope this helped! =)
Answer: B, C, E
Step-by-step explanation: dude trust me c'mon
What is the equation of a line with a slope of 6 and y intercept of -2
Answer:
6x-y=2 is the equation
Step-by-step explanation:
The formula is y= mx+c where m= slope and c = y-intercept
so replacing their values,
y = 6x -2
y+2= 6x
6x-y = 2 is the required equation.
Answer:
y=6x-2
Step-by-step explanation:
Answer: to write an equation it has to be y=mx+b
The slope is 6, so you substitute the 6 in for the m. M is always the slope.
You also keep the x there.
The y intercept, also know as b, is -2 so you substitute that in for b.
Then you get the equation on the line.
y=6x-2!
Hope this helps. :)
