The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m.
The area of the base is __________
The volume is _________
Answers
The square base has a base length of a = 230 m.
The area of the base is
A = a*a = 230*230 = 52,900 m²
The height is h = 150 m.
The volume is
V = (1/3)*A*h
= (1/3)*52900*150
= 2,645,000 m³
Answer:
The area of the base is 52,900 m²
The volume is 2,645,000 m³
Answer:
The area of the base is 52,900 m²
The volume is 2,645,000 m³
Step-by-step explanation:
Related Questions
Find the exact value of cos 75 by using a sum or difference formula
Answers
Formula: cos 45 x cos 30 - sin 45 x sin 30
Cos 45 = root 2 / 2
Cos 30 = root 3 / 2
Sin 45 = root 2 / 2
Sin 30 = 1 / 2
The exact value of cos 75 is (√6 - √2)/4 or 0.2588190.
What is Trigonometry?Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.
We have to find the exact value of cos 75.
So, The value of cos 75 degrees in decimal is 0.258819045.
Then,
cos 75°
= cos (1.3089)
= (√6 - √2)/4 or 0.2588190
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Alan bought a suit on sale for $558. This price was 28% less than the original price. What was the original price?
Answers
divide both sides by 0.72=775
the original price was $775
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x= 12 + y
18x – 12y= 18
Answers
18x – 12y= 18
substitute x= 12 + y into 18x – 12y= 18
18x – 12y= 18
18(12 + y) – 12y= 18
36 + 18y - 12y = 18
6y =-18
y = -3
x= 12 + y
x= 12 -3
x = 9
solution (9, -3)
18(12+y)-12y=18 perform indicated multiplication on left side
216+18y-12y=18 combine like terms on left side
216+6y=18 subtract 216 from both sides
6y=-198 divide both sides by 6
y=-33, which makes x=12+y become:
x=12-33
x=-21
So the solution to this system of equations is the point (-21, -33)
19. You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 1? Show your work.
Answers
6 numbers per cube
if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum
1+2=3, 1+4=5,1+6=7
since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability
so 1/2 probability
1/2 is wrong, I put it on my exam and got it wrong:/
The original price P of an item less a discount of 20% ?
Answers
P(0.80)
Answer:
0.8 P
Step-by-step explanation:
Let the origional price of P
A discount of 20% is given on the item
The price of item=[P(100-d)]÷100
The price of the item= [tex]\frac{p(100-20)}{100}[/tex]
The price of the item= [tex]\frac{p(80)}{100}[/tex]
The price of the item= 0.8 P
If the discount 20% is given on origional price of the item, than the price will be 0.8 P
Hence, the correct answer is 0.8 P
Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face was 5 ft tall, how tall is his face on Mount Rushmore?
Answers
The height of the face is 60 inch.
What is unit conversion?Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.
As 1inch = 1ft,
then to find out how many inches is George Washington’s face.
As there are 12inch in a foot
=12*5
=60inches
Thus , his face is 60ft tall.
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Sets that cover a range of points, including those between isolated points, and cannot be written as lists are called _______ sets.
A. mapping
B. continuous
C. finite
D. discrete
Answers
Two sides of a triangle are 6 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is π 3 rad.
Answers
Final answer:
To find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is π/3 rad, we need to differentiate the formula for the area of a triangle with respect to time.
Explanation:
Rate of Change of Triangle Area with Increasing Angle
To find the rate at which the area of the triangle is increasing, we need to differentiate the formula for the area of a triangle with respect to time.
The formula for the area of a triangle is given by: A = 0.5 × a × b × sin(C), where a and b are the lengths of the two sides and C is the angle between them.
By differentiating this formula with respect to time, we can find the rate of change of the area with respect to time.
When the angle between the sides is π/3 rad, substitute the length of the sides and the rate at which the angle is increasing, and solve for the rate of change of area.
A point is on a circle if the distance from the center of the circle to the point is equal to the
a) area.
b)circumference.
c)radius.
d)diameter.
Answers
The distance from the centre of the circle to any point on the circumference of the circle is called the radius.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66 minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes.
Answers
Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41
the _____ of a central angle are two radii of the circle.
A. sides
B. arcs
C. verticals
D. measures
Answers
A.sides
Answer:
A.Sides.
Step-by-step explanation:
The central angle is the angle made by any arc at the center of the circle.Central angle is formed by two rays from the centre which cuts the circle at two points .The part of the two rays which lie inside the circle is the radius of the circle .
We say :
The sides of a central angle are two radii of the circle.
Amy wants to buy a pair of jeans that cost $65. Today the store is offering a straight discount of 25%. Calculate her savings and cost after the discount.
Answers
[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 65&100\\ x&25 \end{array}\implies \cfrac{65}{x}=\cfrac{100}{25}[/tex]
solve for "x", that's her savings
the cost of the jeans is 65 - x
Answer:
Amy's discount is $16.25, and the cost after the discount is $48.75.
Step-by-step explanation:
A dart hits the circular dartboard shown below at a random point. find the probability that the dart lands in the shaded square region. the radius of the dartboard is 11in, and each side of the shaded region is 4in.
Answers
Answer:
.13 or 13%
Step-by-step explanation:
P = area of shaded region/area of entire board
Entire area: 3.14 * (11 * 11) = 379.94
shaded area: 3.14 * (4 *4) = 50.24
p = 50.24/379.94 = .13 or 13%
In a community fitness group, 40% of members run for exercise and 36% of members run and play a sport. What percentage of members who run for exercise also play a sport?
Answers
By dividing the percentage of community fitness group members who run and play a sport (36%) by those who run for exercise (40%), we find that 90% of the members who run for exercise also play a sport.
To determine the percentage of community fitness group members who run for exercise and also play a sport, we can use the information provided. The question states that 40% of members run for exercise and 36% of members run and play a sport. To find what percentage of members who run also play a sport, we need to find the proportion of runners who are also sport players.
To do this, we divide the percentage of members who run and play a sport by the percentage who only run:
Percentage of runners who also play a sport = (Percentage of members who run and play a sport) / (Percentage of members who run for exercise)
So,
Percentage of runners who also play a sport = 36% / 40% = 0.9
We then multiply by 100 to convert this to a percentage:
0.9 × 100 = 90%.
Therefore, 90% of the members who run for exercise also play a sport.
The cost of fertilizing a lawn is $0.25 per square foot. find the cost to fertilize the triangular lawn whose base is left parenthesis 8 plus startroot 19 endroot right parenthesis8+19 feet and altitude is startroot 76 endroot76 feet.
Answers
A=(1/2)(b)(h) = (1/2) (8+√19)(√76) = 19+8√19 square units
Then, you multiply this by $0.25 to determine the total cost. The answer would be $13.5.
A card is picked from a standard deck of 52 cards. determine the odds against and the odds in favor of selecting a 10
Answers
The odds in favor of drawing a '10' from a standard 52-card deck are 1 to 12, and the odds against are 12 to 1.
Explanation:In a standard deck of 52 cards, there are four '10' cards - one each of hearts, diamonds, clubs, and spades. Hence the probability of drawing a '10' is 4 out of 52, or simplified, 1 out of 13.
Therefore, the odds in favor of selecting a '10' (i.e., the probability of selecting a '10' versus not selecting a '10') are 1 to 12 because for each '10' card there are 12 others that are not '10s'.
The odds against selecting a '10' are simply the inverse of the odds in favor. That is, for every one time you may draw a '10', there are 12 other times when you would draw something else, hence the odds against drawing a '10' are 12 to 1.
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For one week at your store, employees worked 200 regular hours and 50 hours of overtime. what percent of the total hours for the week were overtime?
Answers
total hours = 200+50 = 250
50 were overtime
50/250=0.20 = 20% of the hours were overtime
The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Answers
angle AOB = 132 and is also the sum of angles AOD and
DOB. Hence
angle AOD + angle DOB = 132° ---> 1
angle COD = 141 and is also the sum of angles COB and BOD. Hence
angle COB + angle DOB = 141° ---> 2
Now we add the left sides together and the right sides of equations 1 and 2
together to form a new equation.
angle AOD + angle DOB + angle COB + angle DOB = 132 + 141 ---> 3
We should also note that:
angle AOD + angle DOB + angle COB = 180°
Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180
and solving for angle DOB:
180 + angle DOB = 132 + 141
angle DOB = 273 - 180 = 93°
Please help! Geometry.
Answers
[tex]sin(51)= \frac{y}{12} [/tex]
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
[tex]sin \beta = \frac{12}{13} [/tex]
and [tex]sin \beta =.9230769[/tex]
and [tex]sin ^{-1}(.9230769)=67.38 [/tex]
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
[tex]tan(13)= \frac{x}{24} [/tex]
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
[tex]sin(20)= \frac{10}{x} [/tex] and
[tex]x sin(20)=10 [/tex] and
[tex]x= \frac{10}{sin(20)} [/tex] with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
What is 7.75×10-1 in standard notation
Answers
Note that 10⁻¹ = 1/10 = 0.1
7.75 x 0.1 = 0.775
what doesThe mathematical expression 2 ∈ V means
Answers
Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos(t)>0, tan(t)>0
Answers
tan(angle) = sin(angle)/cos(angle), so it's a division. sin(angle) has the sign of the y axis.
So, tan(t)>0, mus be +/+ or -/-, quadrant I or III, respectively.
The only in common is quadrant I. Hope it helps for the next one!
Write an equation in point-slope form of the line having the given slope that contains the given point. m=5m=5, (4,3)
Answers
an equation in point-slope form is : y -3 = 5 (x-4)
Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3.
Answers
So the first term is 3+3 and the last term is 3(13)+3
So the sum is:
13(6+42)/2
312
Answer:
The sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.
Step-by-step explanation:
The given expression is
[tex]3n+3[/tex]
For n=1,
[tex]3(1)+3=6[/tex]
For n=2,
[tex]3(2)+3=9[/tex]
For n=3,
[tex]3(3)+3=12[/tex]
The required AP is
[tex]6, 9, 12, ...[/tex]
Here first term is 6 and common difference is 3.
The sum of n terms of an AP is
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
[tex]S_{13}=\frac{13}{2}[2(6)+(13-1)(3)][/tex]
[tex]S_{13}=\frac{13}{2}[12+36][/tex]
[tex]S_{13}=312[/tex]
Therefore the sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.
Which method(s) can be used to solve a system of equations? Select all that apply.
distributing
graphing
substitution
formulas
addition
modeling
Answers
Answer:graphong, substitution, addition
Step-by-step explanation:
Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.
In which step did Susu first make an error?
Step 1
Step 2
Step 3
Step 4
Answers
The given Quadratic equation is
[tex]4x^2- 8x - 13 = 0\\\\4(x^2- 2 x - \frac{13}{4}) = 0\\\\ (x-1)^2-1^2- \frac{13}{4}=0\\\\ (x-1)^2=\frac{\sqrt{17}}{4}\\\\ x-1=\pm\frac{\sqrt{17}}{4}\\\\ x=1 +\frac{\sqrt{17}}{4} \text{or} x=1-\frac{\sqrt{17}}{4}[/tex]
These are the steps to determine the roots as well as solve the quadratic equation.
You can find the mistake by looking at the procedure of solving the quadratic equation by completing the square solved above.
Answer:
step 3
Step-by-step explanation:
The risk set by the researcher for rejecting a null hypothesis when it is true is called the
Answers
_____________________________
Help plzzzzz!!!!!!!!!!
Answers
1. less than or equal to 5
2. greater than 5
3. less than 5
What is a tangent of a circle
Answers
Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5. A. 93 B. 43 C. 107 D. 57
Answers
[tex]P(t) = 3t^{2} + 5t - 7[/tex]
Substitute t = 5 into the equation:
[tex]P(5) = 3(5)^{2} + 5^{2} - 7[/tex]
[tex]P(5) = 75 + 25 - 7 = 93[/tex]
Thus, we get a remainder of 93 or (A)