Mathematics High School
Answers
Answer 1
Answer:
The answer is 792.
Step-by-step explanation:
I got the answer by first imagining how the 3d shape looks ike. Since one of the sqaure base length is 11 I found the base surface area by doing 11 times 11.My answer was 132. The since one of the slant length of the pyramid's triangle is 15, I did 11 times 15, my answer was 165. There are four triangles in the pyramid so I did 165 times 4, my answer was 660.
All the triangle surface area is 660 plus the sqaure surface are which is 132, that gave me my answer 792.
Related Questions
Determine if the statement below is always, sometimes, or never true. There are 250 degrees in the sum of the interior angles of a polygon. always sometimes never
Answers
It would never be true.
Answer:
never
Step-by-step explanation:
Write the geometric sequence that has four geometric means between 1 and 7,776.
Answers
324 /(1/4) = 7776
You then have to take its 5th root and that's the geometric ratio. Which is 6.
So the sequence is 1/24, 1/4, 3/2, 9, 54, 324
Gustavo created a four-part spinner to represent the four prizes that he had an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spun the spinner several times to demonstrate the likelihood of winning a certain prize. What is true about Gustavo’s data collection? Gustavo used an experiment where the data is qualitative. Gustavo used an experiment where the data is quantitative. Gustavo used a simulation where the data is qualitative. Gustavo used a simulation where the data is quantitative.
Answers
The answer is "C". I know, I'm taking the quiz.
Based off of the initial paragraph focused on Gustavo, option C is correct based off of his data collection.
Emily has 140 books. If Frank were to triple the number of books that he now owns, he would still have fewer than Emily has. If b = the number of books that Frank has, which mathematical sentence expresses the information above?
Answers
Answer:
Step-by-step explanation:
Let b represent number of books that Frank has.
We have been given that Emily has 140 books.
Triple the number of books Frank would be three times b: .
If Frank were to triple the number of books that he now owns, he would still have fewer than Emily has.
This means is less than 140. We can represent this information in an inequality as:
Therefore, the inequality represents the given scenario.
B * 3 < 140
B being the number of books Frank owns. Because tripling the amount of books he owns is still less than the amount of book Emily owns, b*3 has to be less than 140
Using graph paper, graph the following equation. Then click on the graph until the correct one is displayed. y = -3/5 x + 1
Answers
(0,1) would be where the dot is at
On a true or false quiz of 4 questions, Jose guesses at each answer. What is the probability that he gets all of the questions correct? a. 1/24
b. 1/4
c. 1/8
d. 1/16
Answers
We know that this True or False question look like flip a coin.
P( guessing correct) first time:
1/2
P( guessing correct) second time:
1/2
P(guessing correct) third time:
1/2
P(guessing correct) fourth time:
1/2
Multiply all of them together to get
1/16. As a result, D is the correct answer. Hope it help!
If angle B of a parallelogram measures 67 degrees, what is the measure of angle D?
Answers
Then angle D is 67 as all sides and measurements are equal on a parallelogram.
Which of the following are congruence transformations
Answers
Rotating, Reflecting and Translating
Answer:
Rotating, Reflecting and Translating
Step-by-step explanation:
15.A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin? (Hint: Solve for X).
Answers
800 doctors used brand X aspirin, to get the answer you divide 3 by 5 then you get 0.6. You then times 0.6 by 2000 and get 1200 the you subtract 2000 by 1200 and get 800.
What is the difference between microeconomics and macroeconomics? a. Macroeconomics deals with abstract economic theories, while microeconomics applies those theories to the real world. b. Microeconomics looks at economic systems in a vacuum, while macroeconomics looks at how those systems interact with one another. c. Microeconomics deals with economics on the level of individuals or businesses, while macroeconomics deals with economics on the level of states or countries. d. Macroeconomics looks at the history of economics, while microeconomics is concerned with the present and the future.
Answers
Answer:
C
Step-by-step explanation:
A very basic understanding will lead us to the correct answer.
Micro means "small" and Macro means "large".
Micro economics deals with small level & Macro economics deals with large level.
Answer choice C is right as it defines microeconomics as dealing with individuals and businesses (small level) and macroeconomics as dealing with states or countries (large level).
Answer choice C is right, "Microeconomics deals with economics on the level of individuals or businesses, while macroeconomics deals with economics on the level of states or countries."
C) Microeconomics deals with economies on the level of individuals or businesses, which macroeconomics deals with economies on the level of states or countries.
Which of the following are mathematical sentences? Check all that apply. A.4 -d= 8B.4 -vC.3 + 2 = 5D.6E.1 < 2F.5g
Answers
Answer: A. 4 - d = 8
C. 3 + 2 = 5
E. 1 < 2 
Step-by-step explanation:
- A mathematical sentence makes by combining two expressions with a comparison operator (+,-,×,÷) to create a fact that it may be either true or false.
A. 4 - d = 8
It is a mathematical statement which says that the difference between 4 and d is 8.
B. 4 - v
It is not a mathematical statement because it is neither true nor false. It is just a variable expression.
C. 3 + 2 = 5 
It is a mathematical statement which is true.
D. 6 
It is not a mathematical statement because it is neither true nor false.
E. 1 < 2 
It is not a mathematical statement which is false. It is just a numerical expression.
F. 5g
It is not a mathematical statement because it is neither true nor false.It is just a variable expression.
A, C, E
any mathematical expression that then includes an equal sign becomes a sentence or equation
Adriana, Henry, Malik, and Richard each design surveys to determine the most popular way seventh graders purchase music. Adriana samples the five friends sitting at her lunch table. Henry samples every boy in his homeroom class. Malik samples every student using an MP3 player while waiting for the bus. Richard samples the first student alphabetically on the class roster from each of 12 classes. Which sample is likely to produce the most valid results? Adriana’s sample
Henry’s sample
Malik’s sample
Richard’s sample
Answers
The answer is Richard's sample
Answer: D. Richard's sample
As part of an Earth Science project, Erin tracked the amount of rain fall for 4 weeks. She started tracking after finding some initial data on the year's rainfall to date: WeekRainfall 15.5 28 310.5 413 If the linear function representing the amount of rainfall each week is f(w) = 2.5w + 3, what does the 3 represent in this function? The amount of rainfall in week 0 . The week that Erin collected data. The amount of total rainfall. The amount the rainfall increased each week
Answers
A "The amount of rainfall in week 0" zero weeks have passed and theres already up to the 3 mark
A is the most logical answer out of the choices but I'm not sure if its correct
Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the theoretical probability that he will draw a red card on his 11th draw?
Answers
Answer:
The probability would be 1/2 that he would draw a red color card.
Step-by-step explanation:
Marco draws a card from a standard deck of 52 cards and replace it 10 times. each time Marco draws 'with replacement' so it does not matter what cards were drawn previously so each draw result was independent.
In a standard deck of 52 cards there are 26 red cards.
p (drawing a red card on his 11th draw) = 26/52 = 1/2
therefore on his 11th draw 1/2 probability that he would draw a red color card
4/5 chance is the answer to that
What is the range of the relation? (1,2) (2,4) (3,2) (4,4)
Answers
Range is the y-values.
So the y-values are: {1,2,3,4}
Cuanto es 9.099 mas 1
Answers
the answer for this problem is 10.099
Answer:
9.099
+ 0.001
--------------
9.100
Step-by-step explanation:
In the figure, the measure of angle 6 is 141°. What is the measure of angle 5?
Answers
I believe theangle 5 measuresis39°.
Hope this helped!
Answer:
39 degrees
Step-by-step explanation:
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An interior angle of a regular polygon has a measure of 135°. What type of polygon is it? hexagon octagon nonagon decagon
Answers
Answer: The correct option is (B) octagon.
Step-by-step explanation: Given that an interior angle of a regular polygon has a measure of 135°.
We are to select the type of the polygon from the given options.
We know that, if n represents the number of sides of a regular polygon and α be its exterior angle, then
Given that,
an interior angle of the regular polygon is 135°.
So, the measure of an exterior angle will be
Therefore, the number of sides of the regular polygon is
So, there are 8 sides of the polygon and hence it is an OCTAGON.
Thus, (B) is the correct option.
its a octagon. e2020 approved, you can trust me
Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished. Housing $576 Food $272 Transportation $320 Why will he have a problem with the rest of his budget? He is budgeting too much for transportation. He has used the highest recommended percentages to calculate the amounts for the three categories. He is budgeting too much for housing.
Answers
Answer:
He has used the highest recommended percentages to calculate the amounts for the three categories.
Step-by-step explanation:
Monthly net earnings of Jim = $1600
He has budgeted Housing = $576
Food = $272
Transportation = $320
As no recommended percentage of food and housing is given so we can consider the ideal percentage. Ideally, a maximum of 30 to 35 percent should be spent on housing. And a maximum of 25 to 30% on food and transportation combined.
Here lets calculate 35% of housing, 0.35*1600= $560
And 30% of food and transportation , 0.30*1600=480
But Jim is spending $576 on housing and $592 on food and transportation. Comparing with the ideal maximum limit, we can see that Jim's budget has crossed the maximum limit.
So, the correct option is - He has used the highest recommended percentages to calculate the amounts for the three categories.
B.
He has used the highest recommended percentages to calculate the amounts for the three categories.
Based on the given triangle, the cosine of the 30 degree angle is:
Answers
1 √3 = √3 3
This is the formula
FAQs
How do you find the side length of a square pyramid? ›
How do I find length? To find the length of one side of the square base, you must know the height and the volume of the pyramid. To get the length, multiply the volume by three, divide that by the height, and then take that number and find its square root.
What is the formula for the base of a square pyramid? ›1] Square Pyramid
The Square Pyramid formulas are, Base Area of a Square Pyramid = b. Surface Area of a Square Pyramid = 2 × b × s +b. Volume of a Square Pyramid=\frac{1}{3} × b2 × h.
A square pyramid has one square base and 4 triangular lateral surfaces. So, a square pyramid has total 5 faces.
How many sides does a square based pyramid have? ›A square-based pyramid is a polyhedron, which simply means a 3D shape with flat polygons as its sides. It can also be called a pentahedron because it has 5 sides – "penta" is Latin for 5.
What is the formula of length of each side of a square? ›The sides can be found by taking the square root of the area.
How many bases does a square pyramid have 1 2 3 4? ›A square pyramind has only 1 base.
What is a pyramid with square base of side? ›What is a Square Pyramid? A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid. It is called a pentahedron, due to its five faces.
What is an example of a square pyramid? ›The most famous example of a square pyramid is the Great Pyramid of Giza. It is a polyhedron that has a square base and four triangular faces that meet at a point above the base.
Does a pyramid have 4 equal sides? ›A triangle-based pyramid has four triangular sides. The base can be any shape or size of triangle but usually it is an equilateral triangle (all sides are the same). This means the three sides of the pyramid are the same size as each other and the pyramid looks the same if you rotate it.
Does a square based pyramid have equal sides? ›A pyramid is a shape that has a base and triangular sides. The triangular sides are all the same shape and size.
How many sides is a pyramid? ›
Well, not quite. Despite what you may think about this ancient structure, the Great Pyramid is an eight-sided figure, not a four-sided figure. Each of the pyramid's four side are evenly split from base to tip by very subtle concave indentations.
How many sides are equal in length? ›Solution: Three shapes that have all sides of equal length are a rhombus, a square, and an equilateral triangle.
How do you find the side length of a shape on a graph? ›If the sides of a polygon lie on the grids of the graph paper (horizontal or vertical), the lengths of the sides of the polygon can be found by simply counting. You have used this counting method in the past to find such lengths.
What is the formula to find the length of a square? ›The perimeter of a square is the total length of all the sides of the square. Hence, we can find the perimeter of a square by adding all its four sides. All the sides of a square are equal. So, the perimeter of a square is calculated by adding the side of a square four times.
What is side length? ›sidelength (plural sidelengths) (mathematics) The length of a side (of a polygon).
What is a square of side length 1? ›A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
How many faces does a square pyramid have 7 5 4 6? ›A square pyramid has 5 faces, 8 edges and 5 vertices.
Is the volume of a square pyramid 1 3? ›The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid. Thus, volume = (1/3) × (Base Area) × (Height). The volume of a square pyramid is the number of unit cubes that can fit into it and is represented in "cubic units".
Why is the formula for a pyramid 1 3? ›Why is There a 1/3 in the Formula for the Volume of Pyramid? A cube of unit length can be divided into three congruent pyramids. So, the volume of pyramid is 1/3 of the volume of a cube. Hence, we have a 1/3 in the volume of pyramid.
What is a pyramid with only 3 sides called? ›A three-sided pyramid is called a tetrahedron.
This is more commonly called a triangular pyramid, naming the solid after the shape formed by its base, which is a triangle like the three faces.
Which side is the base of a pyramid? ›
In geometry, a pyramid is a three-dimensional object with a bottom side, called the base of the pyramid, and triangular sides, called the faces of the pyramid, that meet at a point above the base, called the apex of the pyramid.
What does a square based pyramid have 1 square and? ›A square based pyramid is a three-dimensional shape with 4 flat triangular faces and 1 square face, 8 edges and 5 vertices.
What object is a square pyramid? ›A square pyramid is a pyramid with a square base. It is a pentahedron.
What is a formula for a pyramid? ›The general formula for the total surface area of a regular pyramid is given as: The Total surface area of a pyramid formula = ½ pl + B, Where 'p' is the perimeter of the base and 'l' is the slant height of the pyramid and B is the area of the base.
What is the base of a square? ›The bottom square is called the base. The triangular sides are called faces.
What's the formula for finding the volume of a pyramid? ›To generalize the formula for triangular (or any) pyramids, use pyramid volume=1/3*base area*height.
How do you find the volume of a square pyramid given the slant height? ›Step 2: Find the missing dimension using the formula s2 = h2 + (b/2)2 where "s", "h", and "b" are slant height, the height of perpendicular, and base length of the right square pyramid, respectively. Step 2: Determine the volume using the formula V = 1/3 × b2 × h.
What kind of faces does a square-based pyramid have? ›A square-based pyramid has a square base and four faces that are triangles. A square-based pyramid has 5 faces, 5 vertices including the apex and 8 edges.
How many faces does square pyramid have? ›A square pyramid has five faces, out of which four are triangular. The base of a square pyramid is a square.
How many faces does a pyramid have if its base has 4 sides? ›(ii) Pyramid with 4-sided base: This pyramid has 5 faces. One face as the base and other 4 faces connecting the base with the apex. As we can notice, the total faces are one more than the number of sides of the base. Therefore, a pyramid with 'n' sided polygon as base will have $\left( {n + 1} \right)$ faces.
What shape is a 4 sided pyramid? ›
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid".
Does a pyramid have 5 sides? ›A pyramid has 5 faces, 8 edges and 5 vertices. Note: In this example we have seen the various properties of a rectangular pyramid which has a rectangle as its base. There also exists various other types of pyramids such as triangular pyramid, square pyramid, hexagonal pyramid, pentagonal pyramid etc.
Are all sides of a pyramid the same? ›A pyramid has a base with sides that have different lengths. The base of the triangular pyramid has unequal sides. Or we can say, the base could be a scalene triangle or an isosceles triangle.
What pyramid has 6 sides? ›In geometry, a hexagonal pyramid or hexacone is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point (the apex). Like any pyramid, it is self-dual.
Can a pyramid have 6 sides? ›A pyramid that has a hexagonal base, that is, base with six sides and 6 triangular lateral faces, then it is a hexagonal pyramid. It is also called as the Heptahedron.
What pyramid has 7 sides? ›A hexagonal pyramid consists of 7 faces, 12 edges, and 7 vertices.
What is a side length of a pyramid? ›It is 𝐿, which is the lateral surface area of a regular pyramid, is equal to one-half of the perimeter of the bases times the slant height, 𝐿.
What is each side of a square pyramid? ›Properties of Square Pyramid
The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices (corner points) It has 8 Edges.
The base edge is the edge between the base and the lateral faces of a prism. The slant height is the height of a lateral face of a pyramid.
Can you solve for the unknown side in any triangle if you know the lengths of the other two sides by using the Pythagorean Theorem? ›Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. Put another way, if you know the lengths of a and b, you can find c.
What is each side of a pyramid? ›
The triangular sides are called faces and the point above the base is called the apex. A pyramid is made by connecting the base to the apex. Sometimes, the triangular sides are also called lateral faces to distinguish them from the base.
What shape is the side of a pyramid? ›A pyramid is a shape that has a base and triangular sides. The triangular sides are all the same shape and size.
Are all sides of a pyramid equal? ›A triangle-based pyramid has four triangular sides. The base can be any shape or size of triangle but usually it is an equilateral triangle (all sides are the same). This means the three sides of the pyramid are the same size as each other and the pyramid looks the same if you rotate it.