Mathematics High School

If the volume for 3-D pyramid A is 300 cm3 and the volume for 3-D pyramid B is 900 cm3, how many times bigger is the volume of pyramid B than pyramid A?

Answers

Answer 1

Answer:

Volume of pyramid B is three times bigger than the volume of pyramid A

Step-by-step explanation:

We are given that:

The volume for 3-D pyramid A is 300 cm³ .

and the volume for 3-D pyramid B is 900 cm³.

We have to tell how many times bigger is volume of pyramid B than volume of pyramid A.

volume of 3-D pyramid B= 900 cm³

= 3×300 cm³

= 3×volume of 3-D pyramid A

Hence, Volume of pyramid B is three times bigger than the volume of pyramid A

Answer 2

Answer:

Step-by-step explanation: 3%

Related Questions

At the Atkins County Fair, the crowd for a concert by The Cooper Band cannot exceed a certain number. The limit for the number of people who can attend the concert is 0.04 people per square foot of space in the arena. If the arena is shaped as a rectangle with sides 220 feet by 200 feet, how many people can attend the concert?

Answers

The first thing to do was to find the area of the space to do that we would need to do:
220*200= 44000
the area is [tex]44000ft^{2} [/tex]
next you would do:
44000/.4 to find how many people can fit
this equals 11000
11,000 people can attend the concert

Is the data set “heights of the women in the U.S. Congress” quantitative or qualitative? If it is quantitative, is it discrete or continuous?

Answers

The data is quantitative because you can average the data. It is not a label.
It is continuous because there are more than integer values of heights.

Answer with explanation:

The “heights of the women in the U.S. Congress” is Quantitative,because height of person does not represent Quality, it shows "Quantity".It means it has Magnitude.

We can find mean , median and mode of women in Congress.

So, Height of women in US congress is Quantitative.

As, different Women have different Heights, that is any rational number , so The Height of different women will be a discrete data set.For, example, height of different women can be={167 cm, 187.6, 176.6,165.5,.....}

Complete the statement f(3) is

Answers

f(3) is asking us "What output do I get with 3 as the input?". Looking at the Domain (all possible inputs) we see that 3 is indeed a possible input so that part is ok. Checking the Range (all possible outputs) we see that an input of 3 gives one and only one output (incidentally since this is true of all inputs, this is a function in 'x'). The only output that we get with an input of 3 is -1.

The corresponding output for an input value of 3 is -1. Hence f(3) is -1

from the mapping function given, the domain values are the input values of the function while the range is the output.

To get the value of f(3), we need to check the corresponding output when the input variable is 3.

From the given one-on-one mapping, we can see that the corresponding output for an input value of 3 is -1. Hence f(3) is -1

Learn more here; https://brainly.com/question/3373678

If a sphere has a radius of 2 cm what is the approximate surface area of the sphere

Answers

The formula for the surface area of a sphere is [tex]SA=4 \pi r^{2} [/tex]
If your radius is 2, then filling in that formula looks like this:
[tex]SA=4 \pi ( 2^{2} )[/tex] or [tex]16 \pi [/tex]. If you leave your answer in terms of pi, which is the exact answer, you're done. But if you multiply pi in, your surface area is SA = 50.264 square cm.

In two supplemantary angles, the measure of one angles is 6 more than the twice the measure of the other.the measure of these two angles are

Answers

Answer:
________________________________________________________
The measurements of the 2 (TWO) supplementary angles are:
________________________________________________________
           58° and 122° .
________________________________________________________
Explanation:
_________________________________________________
Two supplementary angles:
_________________________________________________
Angle 1: "x:
_________________________________________________
Angle 2: "(6 + 2x)"
_________________________________________________
        All supplementary angles, by definition, add up to 180 degrees, so given that the 2 (two) angles are supplementary:

(x) + (6 + 2x) = 180 ; Find "x" and "(6 + 2x)" .
__________________________________________________
   x + 6 + 2x = 180 ;

      3x + 6 = 180 ;

   Subtract "6" from each side of the equation ;
___________________________________________________
      3x + 6 − 6 = 180 − 6 ;

          3x = 174 ;
___________________________________________________
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;

          3x / 3 = 172 / 3 ;

               x = 58 ;
________________________________________________
So:
________________________________________________
Angle 1: "x" : x = 58 .
________________________________________________
Angle 2: "(6 + 2x)" =  " 6 + 2(58) = 122 .
________________________________________________
122 + 58 =? 180 ? Yes!
________________________________________________
So, the measurements of the 2 (TWO) supplementary angles are:
           58° and 122° .
________________________________________________

The solutions to the inequalities 0≤x≤2,0≤y≤1, and y≤−12x+32 form a polygonal region in the plane. How many sides does this polygon have?

Answers

In order to know the shape of the polygon you plot first the last inequality because it form a line in the graph. In plotting this equation, disregard the inequality sign first. Then, set arbitrary points of x, determine y and plot them. The line is shown in the picture. Next, we test the inequality. Suppose we choose the point of origin, then,

y≤−12x+32
0 ≤ -12(0)+32
0 ≤ 32

This is true. Thus, the shaded region must include (0,0) which is located to the left of line (blue-shaded region). Next, use the two remaining boundaries. The inequality 0≤x≤2 is denoted as the black horizontal line from x=0 to x=2. Moreover, the inequality 0≤y≤1 is denotes as the black vertical line. The resulting figure is a rectangle. Therefore, the polygon has 4 sides.

Please read the attached pic. I don't remember ever being taught this...

Answers

This is notation referring to the nCr combination formula.

In this case, n = 7 and r = 3

Plug those values into the formula below and evaluate
n C r = (n!)/(r!*(n-r)!)
7 C 3 = (7!)/(3!*(7-3)!)
7 C 3 = (7!)/(3!*4!)
7 C 3 = (7*6*5*4!)/(3!*4!)
7 C 3 = (7*6*5)/(3!)
7 C 3 = (7*6*5)/(3*2*1)
7 C 3 = 210/6
7 C 3 = 35

Note: the exclamation marks refer to factorial notation.

Therefore, the answer is choice D) 35

Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event. True or False?

Answers

true, you have to get heads previously in order to get 3 in a row

Answer with explanation:

Event Joining by two or more Simple events is called Compound Event.

When you throw a coin once, getting either Head or Tail is a Simple event.

And , when you throw a coin and dice together, getting , Head and 1 , is a Compound event.Because here we joined two simple events, one is Throwing of a coin and another one is throwing a dice.

When you toss a coin thrice, it is combination of three simple events, that is tossing of coin three times .So total possible outcome

[tex]=2^3\\\\=8[/tex]

Which can be written as: {(HHH),(HHT),(HTH),(THH),(HTT),(THT),(TTH),(TTT)}

Probability of getting all heads on 3 coin tosses

= Sum of three simple events

[tex]=\frac{HHH}{\text{Total 8 Outcome}}\\\\=\frac{1}{8}[/tex]

Probability of Getting head in all three throws

[tex]=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}\\\\=\frac{1}{8}[/tex]

Yes, this is a Compound event.

I'm having a bit of trouble, could you help?

Answers

Terms & Definitions:
-5-(3^2+2)=-16,
2^2-3*6=-14,
-2+4*3^2-6=28
5+4^2/2(3)=29

Evaluate: 12-6+(14-8)^2=42

not sure which youre having trosuble with so im gonna go with everything.

-5-(3^2 + 2)
= -5 - 9 -2
= -16
= D

2^2 - 3 × 6
= 4- (3 × 6) <==== principle of BODMAS
= -14
= C

-2 + (4×3^2) -6
= -2 + 36 - 6
= 28
= A

so the next answer is obviously B

Question 2.
12-6+(14-8)^2
= 6 + 6^2
= 6 + 36
= 42

The mapping diagram shows a relation.

What is the domain of the relation?

{x| x = –4 , 0, 1, 2}.

{x| x = –7, –6, 2, 11, 3}.

{y| y = –4, 0, 1, 2}.

{y| y = –7, –6, 2, 11, 3}.

Answers

i can't see the diagram but when you talk about domain you mean x values so the answers are the first or second options.

Answer:B. {x| x = –7, –6, 2, 11, 3}.

A board is 27 inches long. How long is the board in centimeters? Use the following conversion: 1 inch is 2.54 centimeters.

Answers

1 inch = 2.54 cm

so multiply 27 by 2.54

27 x 2.54 = 68.58 cm long

To convert 27 inches to centimeters, multiply 27 by the conversion factor of 2.54 cm per inch, resulting in 68.58 centimeters.

The student has asked how long a board that is 27 inches long is in centimeters, given the conversion factor that 1 inch is equal to 2.54 centimeters. To convert inches to centimeters, you multiply the length in inches by the conversion factor. In this case, you would multiply 27 inches by 2.54 to find the length in centimeters.

Here is the calculation:
27 inches x 2.54 cm/inch = 68.58 centimeters.

Therefore, a board that is 27 inches long is 68.58 centimeters long.

A ramp 24 ft long rises to a platform that is 20 ft off the ground. find x , the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.

Answers

[tex]sin(x)= \frac{BC}{AC}= \frac{20}{24} \approx 0.8333 \ \ \to \ \ x\approx56.4^o[/tex]

Final answer:

To determine the angle of elevation x, we use the sine function with the opposite side (20 ft) and the hypotenuse (24 ft) to get sin(x) = 20/24, and by taking the arcsin of the result, we find that x ≈ 56.4° when rounded to the nearest tenth of a degree.

Explanation:

To find x, the angle of elevation of the ramp, we can use trigonometric functions. Since we have the length of the ramp (hypotenuse) and the height of the platform (opposite side) in a right-angled triangle, we can use the sine function, which is defined as the ratio of the opposite side to the hypotenuse.

Using the sine function: sin(x) = opposite/hypotenuse = 20/24.

We first calculate the ratio: sin(x) = 20/24 = 0.8333.

To find the angle x, we take the inverse sine (also known as arcsine) of the ratio: x = arcsin(0.8333).

Using a calculator set to degree mode, we find that x ≈ 56.4° when we round to the nearest tenth of a degree.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1). At what point does line A intersect line B?

Answers

Line A
slope = (-1 - 5)/(3+1) = -6/4 = -3/2
y = mx + b
5 = -3/2(-1) + b
b = 5 - 3/2
b = 7/2
equation of line A: y = -3/2x + 7/2

Line B
slope = (-1 - 2)/(6-7) = -3/-1 = 3
y = mx + b
2 = 3(7) + b
b = 2- 21
b = - 19
equation of line B: y = 3x -19

line A intersect line B when -3/2x + 7/2 = 3x -19
so
-3/2x + 7/2 = 3x -19
3x + 3/2x = 19 + 7/2
9/2x = 45/2
x = (45/2) * (2/9)
x = 5

y = 3x - 19 = 3(5) -19 = 15 -19 = -4

(5 , -4)

answer
line A intersect line B at (5, -4)

Please help with this question on simple interest!!! Attachment below.

Answers

The formula is
I=prt
I interest earned 72
P initial investment?
R interest rate 0.03
T time 2 years
Solve the formula for p
P=I÷rt
P=72÷(0.03×2)
P=1,200

The function H(t) = −16t2 + 80t + 112 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 20 + 5.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 3 through 6 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

The functions are [tex]H(t)= -16t^{2}+80t+112 [/tex] and g(t)=5.2t+20,

are both functions which give the heights of cannonballs thrown from 2 different cannons.

A.
[tex]H(3)= -16(3)^{2}+80(3)+112=208 [/tex]
[tex]H(4)= -16(4)^{2}+80(4)+112=176 [/tex]
[tex]H(5)= -16(5)^{2}+80(5)+112=112 [/tex]
[tex]H(6)= -16(6)^{2}+80(6)+112=16 [/tex]

g(3)=5.2(3)+20=31.6
g(4)=5.2(4)+20=40.8
g(5)=5.2(5)+20=46
g(6)=5.2(6)+20=51.2

up to the 5th second, the ball from H is higher than the one from g,
then from the 6th second the ball from H is lower than the ball from g,

this means that the solution of H(t)=g(t), is between the 5th and 6th seconds.

B. The solution of part A means that during the 3rd, until it falls, the ball from H is falling to the ground, but it is still higher than the ball g which is rising, until a point between the 5th and 6 th seconds, where the balls are at the same height for just one instant, then the ball H continues falling, while g rises up for a few more second.

2x-3y=8 solve for (y)?

Answers

2x-3y=8

Subtract 2x from both sides

-3y=-2x+8

Divide both sides by -3

y=2/3x-8/3

remember, you can do anything to an equation as long as you do it to both sides

so

2x-3y=8
minus 2x both sides
-3y=-2x+8
divide both sides by -3
y=(-2/-3)x+(8/-3)
y=2/3 x-8/3

Identify the terms and coefficients for4p+5-3g

Answers

Terms are numerals and variables separated by + and - signs.

Terms:
4p
5
-3g

Coefficients are numbers multiplied by variables.

Coefficients:
4
-3

What part of a aday is 4 hours and 20 mintes?

Answers

Let's convert everything to minutes and create a fraction.

A day has 24*60 = 1440 minutes
4 hours and 20 minutes is 4*60+20 = 260 minutes

The fraction 260/1440 simplifies to 13/72 part of a day.

what is the simplified form of (6^2+4)-15

Answers

First solve the parentheses and you get 36+4 which is 40 and then subtract 15 so you get 25

To which subset of real numbers does -18 not belong?

Answers

The subsets of the real numbers are the irrational numbers, rational numbers, integers, whole numbers, and the natural numbers. First, figure out where does -18 belong? Well, -18 is a rational number because it can be expressed as a fraction of two integers. It's also an integer.

So, it doesn't belong in the sets of irrational numbers, whole numbers, and the natural numbers.

We have that the -18 is a rational quantity due to the fact it can be expressed as a fraction of two integers. It's additionally an integer.

Rational number & Integer

Real numbers

Generally

The subsets of the actual numbers are as follows

Irrational numbersRational numbersWhole numbersNatural numbers etc

-18 is a rational quantity due to the fact it can be expressed as a fraction of two integers. It's additionally an integer.

For more information on Numbers visit

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A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall? Round your answer to the nearest 10th of a foot

Answers

This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

A building manager installs sensors to see how often people turn off the lights when they leave a room. After a month, the manager has a sample size of 400, a sample mean of 47%, and a sample standard deviation of 4%. What is the confidence level for a confidence interval of 46.6% to 47.4%?

A. 68%
B. 85%
C. 99.7%
D. 95%

Answers

The answer is C.

The figures in your problem are inconsistent with the data.
The sample std deviation is not and cannot be .04 (4%).
the sample std dev is sqrt[(.47)(1-.47)/400]=.02495.
The margin of error from your CI is .474 -.47= .004 (very small).
This would represent .02495/.004= 6.24 std dev. from expected, which would have a very
high level of confidence (99.97.. %). Something is likely wrong with the figures in your problem.

Answer: 95%

Step-by-step explanation:

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own

Answers

It would take Brian 20 hours to build the model car on his own.

To determine the time it would take Brian to build the model car on his own, we can follow these steps:

1. Let's denote the time it takes John to build the model car as J hours.

2. Since it takes Brian 15 hours longer than John, we can express the time it takes Brian as J +15 hours.

3. If they work together, they can build the model car in 4 hours. This means that in 1 hour, they complete [tex]$\frac{1}{4}$[/tex] of the job together.

4. In 1 hour, John completes [tex]$\frac{1}{J}$[/tex] of the job, and Brian completes [tex]$\frac{1}{J + 15}$[/tex] of the job.

5. So, the equation representing the rate at which they work together is:

[tex]\[ \frac{1}{J} + \frac{1}{J + 15} = \frac{1}{4} \][/tex]

6. Now, we solve this equation to find J, the time it takes John to build the model car on his own.

7. Once we find J, we can find J+15 which represents the time it takes Brian to build the model car on his own.

So, the equation representing the rate at which they work together is:

[tex]\[ \frac{1}{J} + \frac{1}{J + 15} = \frac{1}{4} \][/tex]

To solve this equation, we can multiply both sides by the least common denominator, which is [tex]$ 4J(J + 15) $[/tex], to clear the fractions:

[tex]\[ 4(J + 15) + 4J = J(J + 15) \][/tex]

Expanding and simplifying:

[tex]\[ 4J + 60 + 4J = J^2 + 15J \]\[ 8J + 60 = J^2 + 15J \]\[ J^2 + 15J - 8J - 60 = 0 \]\[ J^2 + 7J - 60 = 0 \][/tex]

Now, we have a quadratic equation. We can solve this equation using factoring, completing the square, or the quadratic formula. Let's use factoring:

[tex]\[ (J - 5)(J + 12) = 0 \][/tex]

Setting each factor equal to zero:

[tex]\[ J - 5 = 0 \] or $ J + 12 = 0 $[/tex]

Solving each equation:

[tex]For $ J - 5 = 0 $, we get $ J = 5 $.For $ J + 12 = 0 $, we get $ J = -12 $.[/tex]

Since time cannot be negative, we discard the negative solution.

Now that we have found J=5 hours, which represents the time it takes John to build the model car on his own, we can find [tex]$ J + 15 = 5 + 15 = 20 $[/tex] hours.

How did Greek mathematician Pythagoras come up with the Pythagorean Theorem. Explain

Answers

The theorem was known to the Babylonians and Indians long before Pythagoras's time. However it is thought That the Greek Pythagoras was the first to construct a proof of the theorem, that,s why it was named after him.

What is the graph of the function?

f(x) = 2x 2

Answers

The function given is f(x)=2x²

Check the coordinate of y when x=0 ⇒ f(0)=0
Check the coordinate of x when y=0 ⇒ x=0

We have two pairs of coordinate, (0, 0) and (0, 0)

The first two graphs have these coordinates so we need to do further checking

take x=1 ⇒ f(1) = 2(1)² = 2
take x=2 ⇒ f(2) = 2(2)² = 8

we have two pairs of coordinates; (1, 2) and (2, 8)

The correct answer is OPTION A

Answer:

For f(x)=2x² graph, the answer is A.

Step-by-step explanation:

For x = -2; y = 8For x = -1; y = 2For x = 0; y = 0For x = 1; y = 2For x = 2; y = 8

what is the last line of proof

Answers

The answer to this question is the second choice
hope this helps:)

the third answer makes the most sense

What is the distance, in radians, between 0 and 0=pie , sin0=0

Answers

We are asked to find the distance (in radians) between 0 and pi, and sin 0 to 0.

The value of pi in degrees is 180 degrees. In radians, its value is 3.1415. So from 0 to pi, the distance is simple 3.1415 rad. Since sin 0 is equal to 0, then its distance from 0 is also 0.

Answer:

What is the distance, in radians, between 0 and the value you identified in part A? (PLATO QUESTION) pi (PLATO ANSWER)

Step-by-step explanation:

pi is the answer for plato users

concert venue sells adult tickets for $15 and student tickets for $10 . Monday, a total of 85 tickets were sold, and the total money collected was $1,115 . How many adult tickets and how many student tickets were sold?

Answers

x=adult tickets and y=student tickets

x+y=85
15x+10y=1115

so now do a system of equations

(15x+15y=1275)-(15x+10y=1115)= 5y=160 so y=32 tickets

x+32=85 so x=53 tickets

53 adult tickets and 32 student tickets

what is 67912 to the nearest 10

Answers

67912 rounded to the nearest 10th is 67910

1) 8k-(6k-4)=10 show work please

2) -12x+8+5x=36 show work please

3) -2y+4=8y-6

Answers

1) 8k - (6k - 4) = 10

[tex]\mathsf{8k-6k+4=10}\\\\ \mathsf{2k=10-4}\\\\ \mathsf{2k=6}\\\\ \underline\mathsf{k=\dfrac{6}{2}=3}}[/tex]

2) -12x + 8 + 5x = 36

[tex]\mathsf{-12x+8+5x=36}\\\\ \mathsf{-12x+5x=36-8}\\\\ \mathsf{-7x=28}\\\\ \mathsf{x={28}{-7}}\\\\ \underline{\mathsf{x=-4}}[/tex]

3) -2y + 4 = 8y - 6

[tex]\mathsf{-2y+4=8y-6}\\\\ \mathsf{-2y-8y=-6-4}\\\\ \mathsf{-10y=-10}\\\\ \mathsf{y=\dfrac{-10}{-10}}\\\\ \underline{\mathsf{y=1}}[/tex]

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