Answers
Answer:
Cholula
Step-by-step explanation:
first find the vlumes of the different pyramids:
FORMULA:
volume = (1/3) * basearea
Cholula- 157,583,664
Cheops- 91,204,000
Answer:
The Cholula Pyramid has a greater volume.
Step-by-step explanation:
volume = (1/3) * area of base * height
In both cases, the base is a square, so the area of the base is (side)^2
volume = (1/3) * (side)^2 * height
Cholula Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (1476 ft)^2 * 217 ft
volume = 157,583,664 ft^3
Cheops Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (755 ft)^2 * 480 ft
volume = 91,204,000 ft^3
The Cholula Pyramid has a greater volume.
Related Questions
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14, . . . can be used to represent this situation. In this sequence n represents what?
Answers
Answer:
Step-by-step explanation:
Yes. n represents the number of week
Answer:
1: number of weeks
2. the payment amount for the end of week n
3: A
how do you factorise 18x² + 9x?
please show the steps an answer fully, please
Answers
Answer:
9x(2x + 1)
Step-by-step explanation:
Looking at the two terms, notice that you can write the first term as:
18x² = 9x * 2x
Then, we can see that the first term and second term both have 9x in them. That means 9x is a common factor, so we can take it out from both of them ("take it out" basically means "divide"):
18x² + 9x = 9x * 2x + 9x = 9x * (2x + 1)
Thus, the factored form is 9x(2x + 1).
Hope this helps!
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
353, 346, 339,...
Find the 37th term.
Answers
Answer:
66
Step-by-step explanation: What i did was take and figure out the pattern which is -7 every number. Then i went and multiplied 7 x 37 and got 259. Then I took 259 and subtracted that from 339 and got 66 which should be your answer.
1. If we vertically reflect the Figure A,
what will be the points?
a.
(4,3),
(4,0)
b.
2. If we transform the Figure B at the
point (-2,-4) at 90° right then what
will be the points?
(-4,2),
(-1,2),
(-2,-1)
c.
3. If we vertically reflect the Figure C,
what will be the points?
(3,2),
(4,2).
(5,0),
(4,0)
4. If we horizontally reflect the Fiqured
(22) 13.21
Answers
5. A hockey player whose initial speed is 8.1 m/s increases his speed to 8.6 m/s in order to get to
the puck first. If the hockey player takes 5.0 seconds to complete this increase in speed, what
is his acceleration?
Answers
Answer:
0.1m/s²
Step-by-step explanation:
the explanation is in the picture
please rate and mark as brainliest
Question in Image. Thanks!
Answers
PLEASE HELP REALLY EASY!!!!!!!!!!!!
The equation, y=−16x^2+32x+64, represents the height, in feet, of a firework x seconds after it is launched.
What is the maximum height of the firework?
Answers
Answer:
(1,80)
Step-by-step explanation:
hope i am being a good help
Solve the equation.
5x + 6 = 2(2x – 3)
x =
Answers
Kareem drove 225 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 441 miles?
how many gallons
Answers
Answer:
19.6 gallons
Step-by-step explanation:
If 10 gallons of gas were used to drive 225 miles then If kareem drove on 1 gallon of gas would take 22.5 miles.
so 1 gallon=22.5 miles,441 miles=19.6 gallons because,441/22.5=19.6 gallons.
The Kareem 19.56 gallons of gas to drive 441 miles at the same rate.
To find the number of gallons Kareem to drive 441 miles at the same rate, set up a proportion based on the given information:
Miles driven / Gallons of gas = Miles to be driven / Gallons of gas
Using the values provided:
225 miles / 10 gallons = 441 miles / x gallons
cross-multiply to solve for x:
225x = 10 ×441
Dividing both sides of the equation by 225:
x = (10 ×441) / 225
Calculating the value:
x ≈ 19.56
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A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 31. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 34. How high (in feet) is the mountain?
Answers
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
A line has a slope of Negative one-half and a y-intercept of –2. A coordinate plane. What is the x-intercept of the line?
Answers
In a coordinate plane, the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
A line has a slope of Negative one-half and a y-intercept of –2.
m = – 1/2
c = – 2
The equation of line will be
y = –(1/2)x – 2
1/2x + y + 2 = 0
x + 2y + 4 = 0
For the x-intercept, the value of y will be zero.
x + 2y + 4 = 0
Put x = 0, then the value of y will be
x + 2(0) + 4 = 0
x + 4 = 0
x = –4
Then the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).
The equation of the line is drawn in the graph.
It can be clearly observed the line intersect at (-4, 0) and (0, -2).
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Answer:
-4 is the answer
Step-by-step explanation:
Determine the solution?
Answers
Answer:
c) (-∞, -4] or [7,∞)
Step-by-step explanation:
x² - 3x - 28 ≥ 0
x² - 7x + 4x -28 ≥ 0
x (x - 7) + 4(x - 7) ≥ 0
(x-7) (x + 4) ≥ 0
When x value lies in (-∞, -4], (x-7) value will be negative and (x+ 4) will be negative. So, result will be positive
When x value lies in [7,∞), both (x-7) and (x+ 4) will be positive. So, result will be positive
The rule is applied to trapezoid ABCD to produce the final image A"B"C"D".
Trapezoid A double-prime B double-prime C double-prime D double-prime has points (negative 4, 5), (negative 1, 5), (0, 3), (negative 5, 3).
Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.
(–1, 0)
(–1, –5)
(1, 1)
(7, 0)
(7, –5)
Answers
Transformation involve moving a point away from its original location.
The vertices of the pre-image are (–1, 0) and (–1, –5).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The rule is given;
[tex]r_{y = x} T_{4,0(x,y)}[/tex]
The rule means that
ABCD was translated by 4 units to the right, then reflected over line y = x,
The rule of right translation by 4 units,
(x, y) --- (x+4, y)
The rule of reflection over,
(x, y) --- ( y, x+ 4)
The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).
Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).
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A certificate of deposit has $10,000.00 and the bank pays 2.89% interest compounded monthly. After 5 years, what is the account balance?
Answers
Final Answer:
After 5 years, the account balance would be approximately $11,541.20.
Explanation:
To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).
Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:
r = 2.89% = 0.0289
Now we substitute the given values into the formula:
[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]
We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:
[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)
Now calculate the growth factor:
[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]
This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):
[tex]\[ (1.00240833)^{60} \][/tex]
Using a calculator, raise 1.00240833 to the power of 60 to get approximately:
[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)
Finally, multiply this result by the principal amount to find the accumulated amount:
[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]
Therefore, after 5 years, the account balance would be approximately $11,541.20.
Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?
Please help!
Answers
Answer:
see explanation
Step-by-step explanation:
The inscribed angle ABD is on half the central angle ACD, that is
∠ ABD = 0. × 50° = 25°
The measure of arc AD is equal to the central angle it subtends, thus
arc AD = 50°
1. The measure of inscribed angle [tex]\( \angle ABD \)[/tex] is 25 degrees. 2. The measure of arc [tex]\( AD \)[/tex] is 50 degrees.
To solve this problem, we need to understand the relationship between central angles, arcs, and inscribed angles in a circle.
1. Measure of Arc AD:
The measure of an arc created by a central angle in a circle is equal to the measure of the central angle itself. Given that the central angle [tex]\( \angle ACD \)[/tex] is 50 degrees, the measure of arc [tex]\( AD \)[/tex] is also 50 degrees.
[tex]\[ \text{Measure of arc } AD = 50^\circ \][/tex]
2. Measure of Inscribed Angle ABD:
An inscribed angle that intercepts the same arc as a central angle will have a measure that is half the measure of the central angle. In this case, the inscribed angle [tex]\( \angle ABD \)[/tex] intercepts arc [tex]\( AD \)[/tex], which has a measure of 50 degrees.
[tex]\[ \text{Measure of } \angle ABD = \frac{1}{2} \times \text{Measure of arc } AD = \frac{1}{2} \times 50^\circ = 25^\circ \][/tex]
The complete question is:
Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?
1. [tex]\( \angle ABD \)[/tex] = ______.
2. arc [tex]\( AD \)[/tex] = ______.
the square of a number and 7 times a number are -10
Write the equation and the answer
Answers
Step-by-step explanation:
The sum of the square of a number and 7 times a number
The phrase a number means an arbitrary variable, let's call it x.
x
Square the number:
x^2
7 times the number means we multiply x by 7:
7x
The sum means we add x^2 and 7x
x^2 + 7x
Answer:
The answer is x² + 7x + 10 = 0.
Step-by-step explanation:
First, you have to make an expression. By reading the question, we can make it :
Let number = x,
Square of a no,
x²
7 times a no,
7 × x
= 7x
And means ADD equals to -10,
x² + 7x = -10
x² + 7x + 10 = 0
(By forming an equation, you have to let expressions equals to 0, so I add 10 to both sides in order to get rid of -10)
The dot plot shows the birth year of everyone who works at Sam’s office. The youngest person who works there was born in 1987. Sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. Where did Sam make an error?
Answers
Answer:The correct answer is The spread is from 1966 to 1987
Step-by-step explanation:
Sam makes an error when recording by imputing the spread as being from 1966 to 1987 .If this happens ,then it will affect all other results such as the gap ,center and peak which will change
Answer:
A is the right answer
Step-by-step explanation:
I know this because i got it right on my test.
Solve (x + 5)∕3 = 4 for x.
Question 9 options:
A)
17
B)
23
C)
61∕3
D)
7
Answers
Answer:
x+5=12
x=7 aka D
Step-by-step explanation:
Hope it helps !
Final answer:
To solve the equation (x + 5) / 3 = 4 for x, multiply both sides by 3 and then subtract 5 from both sides, which yields the solution x = 7.
Explanation:
To solve the equation (x + 5) \/ 3 = 4 for x, we start by performing the inverse operation of the division by 3 to isolate x. We multiply both sides of the equation by 3:
3 * ((x + 5) \/ 3) = 3 * 4
Now, the equation simplifies to:
x + 5 = 12
Next, we subtract 5 from both sides of the equation to solve for x:
x + 5 - 5 = 12 - 5
Which gives us:
x = 7
So the answer to the equation is D) 7.
Dan’s aquarium holds 6 quartz of water more than Steven’s aquarium. Dan’s aquarium holds 7 gallons. How much does Steve’s aquarium hold?
Answers
6 quartz converted to gal is 1.5 gallons
Since dan has 7 gallons and has 1.5 gallons more than Steve, you need to find the difference.
7-1.5=5.5
If x = 12 cm, what is the volume of the prism?
7 cm³
Answers
Answer:
84
Step-by-step explanation:
Which function is the inverse of f(x) = 2x + 3?
Answers
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)
Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
y = 2x+3
To find the inverse, exchange x and y
x = 2y+3
Solve for y
Subtract 3 from each side
x-3 = 2y+3-3
x-3 =2y
Divide each side by 2
x/2 -3/2 = 2y/2
1/2x -3/2 =y
The inverse is 1/2x -3/2
Determine the slope of the line below.
A. -3/2
B. 2/3
C. 3/2
D. -2/3
Answers
Answer:
B
Step-by-step explanation:
Count from the y-intercept to the next natural point. 2 up and then 3 across
Which of the following points lies on the graph of this equation?
A) (-3,2)
B) (3,5)
C) (3,3)
D) (6,8)
Answers
Answer:
C(3,3)
Step-by-step explanation:
Fill in the blank with the correct response.
If the diameter of a circle is 12 feet, then the radius of the circle is how many feet?
pls help!
Answers
Answer:
Answer is
Radius of a circle is 6 feet
Step-by-step explanation:
[tex]given \: diameter \: = 12 \: feet \\ d = 2r \\ radius = \frac{d}{2} \\ = \frac{12}{2} \\ = 6[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Answer:
6ft
Step-by-step explanation:
324.8 rounded to the nearest ten
Answers
Answer:
Step-by-step explanation:
so you take the eight and round it so then it makes a zero and the 4 becomes a 5
Answer:
320
Step-by-step explanation:
320
As your rounding to the ten place if your number is above five you round up if its below you round down.
Please help me I’m lost
Answers
Answer:
look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.
Step-by-step explanation:
Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)
A. 18/2.25
B. -18/5.25
C. -6/2.25
D. -18/2.25
Answers
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
Point A = (1.5, 6)
Point B = (3.75, -12)
Slope measures the steepnees of a line.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Asign values to x1, y1, x2 and y2
x1 = 1.5 y1 = 6 x2 = 3.75 y2 = -12
-Substitution
m = (-12 - 6) / (3.75 - 1.5)
-Simplification
m = -18 / 2.25
-Result
m = 8
It is possible to simplify more the result so slope = 8.
This is urgent, please answer!
What is the area of this composite figure?
Answers
Explanation:
30 x 24 = 720
12 x 9 = 108
(15 x 20)/2 = 150
150 + 108 + 720 = 978
Answer: 978 in. squared
Step-by-step explanation:
area of the rectangle : 24 x 30 = 720
area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108
area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150
720 + 108 +150 = 978
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x + 5)? A) translate vertically 5 units up B) translate vertically 5 units down C) translate horizontally 5 units left D) translate horizontally 5 units right
Answers
Answer:
C) translate horizontally 5 units left
Step-by-step explanation:
f(x + 5)
Is a change in domain
The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)
Answer:
C
Step-by-step explanation:
When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.
In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).
Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.
Thus, the answer is C.
Hope this helps!
Plz hurry
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5
Answers
Answer:
c
Step-by-step explanation:
The deviation from the mean for the data point 27 in a data set with mean 30 is -3.
Explanation:In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).
So 27 - 30 = -3
This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.
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