The ancient Egyptians had to be skilled mathematicians to build their pyramids correctly. If they built a pyramid like the one below with a triangular base, where OQ measured 110 yards and QP measured 140 yards, angle OQP was a right angle, and the height from the base of the pyramid to point R was 200 yards, what would the volume of the pyramid be?

Answers

Answer 1

Answer:

513333.33 cubic yards

Solution:

[tex]\frac{1}{2} bh[/tex]

[tex]\frac{1}{2} (110)(140)[/tex]

[tex]=7700[/tex]

[tex]V = 1/3AH[/tex]

[tex]V = 1/3(7700)(200)[/tex]

[tex]V=513333.33[/tex]


Related Questions

Determining a Number of Solutions


Quick


Check


Determine whether the systems have one solution, no solution, or infinitely many solutions.


3x - 2y = 3; 6x - 4y = 1


One Solution


No Solution


Infinitely Many Solutions


3x - 5y = 8,5x - 3y = 2


3x + 2y = 8; 4x + 3y = 1


3x - y = 3; 2x - 4y = 2


3x - 4y = 2, 6x - y = 1


Intro


Done

Answers

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

There are 8 teams playing in the tournament. Each team is scheduled to play every other team once. How many games will be played during the tournament?
A) 15
B) 21
C) 28
D) 36

Answers

Answer:

c.) 28

Step-by-step explanation:

I hope this helped. I know it probably doesn't. But I hope you get the question right. And I am sorry if you get it wrong.

C) 28

Explanation:
Set it up like a chart of 8 teams (A - H)
Where you list off what team they still have to face

A: B, C, D, E, F, G, H
B: C, D, E, F, G, H
C: D, E, F, G, H
D: E, F, G, H
E: F, G, H
F: G, H
G: H
H: has no one left to fight

Count the total and you’ll get 28

determine the volume of a sphere with a diameter of 1.30m in maths​

Answers

Answer:

1.15 m³

Step-by-step explanation:

i hope its correct and i hope its helpful

Step-by-step explanation:

hey can yuh show work by step by step...since its hard plzz

The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector?

Answers

Answer:

120°

Step-by-step explanation:

The area of a sector of a circle is given by:

[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of sector in degrees

r = radius of circle.

The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:

[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]

The central angle of the sector is 120°

What is the area of this triangle? Enter your answer

Answers

The area of a triangle is 1/2(Base * Height) Using this we see that the base is 3 and the height is 4, plugging in our formula is 1/2(3 *4) = 6

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?

Answers

Answer: Dot product of the 2 vectors = 0. Therefore cos x = 0 where j is the angle between the 2 vectors. S0 j = 90°... I believe.

The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are more than 290 feet tall.

Answers

Answer:

0.7673

Step-by-step explanation:

We have the following:

The null and alternative hypothesis is,

H0: m = 290

Ha: m> 290

x = 285.2

m = 290

sd = 59.3

n = 82

is m the mean, sd the standard deviation and n the population size

Now we calculate the value of z like this:

z = (x - m) / sd / (n ^ (1/2))

z = (285.2 - 290) / 59.3 / (82 ^ (1/2))

z = -0.73

now

P (z> -0.73) = 1 - P (z <-0.73)

we look at the normal distribution table

P = 1 - 0.2327 = 0.7673

Therefore the value of p is equal to 0.7673

how u answer this? 8(u-4)+3=43​

Answers

Use photo math for this :)

Answer:

9

Step-by-step explanation:

8(u-4)+3=43​8u-32+3=438u-29=438u=43+298u=72u=72/8u=9

Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!

Answers

[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]

What’s the answer??????????????????????

Answers

Answer:

  see below

Step-by-step explanation:

A picture can explain a lot. The coordinates are shown in the attachment.

Positive angles are measured counterclockwise (CCW). Negative angles are measured clockwise. So, -3π/4 is the same as +5π/4, since a circle is 2π = 8π/4.

___

It can be useful to memorize this chart, or keep one like it for handy reference.

David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.​

Answers

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Calculation of the value of c:

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

[tex]186.5\div 28.5[/tex] = 6.54

And,

[tex]187.5\div 27.5[/tex] = 8.81

So, The value of c for the David journey is 7.

Learn more about distance here: https://brainly.com/question/23561100

What is an equation of the line that passes through the point (-1,2) and is parallel
to the line 3x + y = 3?

Answers

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = - 3x - 1 ← equation of parallel line

The required equation of line which passes through points (-1, 2) and parallel to line 3x + y = 3 is 3x + y = -1

What is slope ?

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

y - y₁ = m(x - x₁)

The given equation of line,

3x + y = 3,        

The slope of the given line is -3,

The equation of the line that passes through points (-1, 2) and which is parallel to line 3x + y = 3

The slope of the required line will be same as slope of line 3x + y = 3.

The equation of line,

y - 2 = -3 (x - (-1))

y - 2 = -3 (x + 1)

y - 2 = -3x - 3

3x + y = -1

To know more about Slope on :

https://brainly.com/question/16180119

#SPJ5

In a competition, 5 people can eat 20 steamed buns in 3 minutes 20 seconds.
Assuming that everyone consumes steamed buns at the same rate and that
the rate of consumption remains constant throughout the competition, find the
number of steamed buns 10 people can eat in 5 minutes.

Answers

Answer:

60 buns

Step-by-step explanation:

Assuming that the 5 people eat 20 steamed buns between them and not each, that is an average of 4 buns per person. this means that they eat one bun every 50 seconds. therefore, in 5 minutes one person can eat a total of 6 buns, meaning 10 people can eat 60.

plz hlp meeeee calculate the scale factor of ABC to XYZ. Enter answer as a whole number or as a fraction in lowest terms using the slash mark (/) for the fraction bar

Answers

Answer:

The scale factor is 1/5

Step-by-step explanation:

Each of the lengths of the lengths of this triangle are divided by 5 (or multiplied by 1/5)


A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?

Answers

Answer:

therefore the population of the culture is 2313

determine The mean,median,mode, and range for each data set A. {2,2,7,9,10}​

Answers

Answer:

Mean: 6, Median: 7, Mode: 2, Range: 8

Step-by-step explanation:

Mean:

The mean is the average of the data set.

Add all the terms together:

[tex]2+2+7+9+10=\\4+7+9+10=\\11+9+10=\\20+10=\\\boxed{30}[/tex]

Divide the sums by the number of terms:

There are 5 terms in the data set.

[tex]30/5=6[/tex]

The mean is 6.

Median:

The median is the middle value of the data set.

The data set given already has the numbers in ascending order.

Seven appears to be in the middle of the set.

{2,2,7,9,10}​

The median is 7.

Mode:

The mode is the number that appears the most in a data set.

The number two appears twice in the data set, and all other numbers (7, 9, and 10) appear once.

The mode is 2.

Range:

The range is the difference between the largest data value in the set and the smallest data value in the set.

In the given set, 10 is the biggest and 2 is the smallest.

10 - 2 = 8

The range is 8.

Answer:

Step-by-step explanation:

Median:

2,2,7,9,10 - you have to always find the number on the middle. But if there is 2 numbers remaining, you have to add both of them and divide by 2. So the median here is: 7.

Mode:

2,2,7,9,10 - to find the mode you need to see what number repeats itself more. So the mode here is: 2.

Range:

2,2,7,9,10 - to find the range you need to put the numbers in order and subtract the smallest number from the highest number. So the range here is 10 - 2 = 8 .

Mean:

2,2,7,9,10 - to find the mean you need to add up all of the answers and then you need to divide that answer by how many numbers there are. So the mean here is: 2+2+7+9+10 = 30

             30 divided by 5 (how many numbers there are) = 6

sorry if i took long:)

Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM

Answers

Answer:

Mehmut is 8 years old.

Step-by-step explanation:

From the statement we can get the following information, let M be Mehmut's age and b brother's age:

M = 4 * b

M + 1 = 3 * (b + 1)

We replace the first equation in the second and we are left with:

4 * b + 1 = 3 * b + 3

4 * b - 3 * b = 3 - 1

b = 2

Now, we replace to calculate M:

M = 4 * b

M = 4 * 2

M = 8

Mehmut is 8 years old.

Un astrónomo coloco dos telescopios en diferentes puntos para observar un mismo evento. ¿A cuantos grados debe ajustar el campo visual del telescopio G para cubrir exactamente la misma area que el telescopio H?

A) 220 grados
B)110 grados
C)27.5 grados
D)55 grados
Necesito ayuda es urgente

Answers

Answer:

La respuesta correcta es;

D) 55 grados

Step-by-step explanation:

Por el cual el telescopio G está ubicado en el centro del círculo con radio = HG, tenemos por teorema de círculo;

El ángulo sostenido por un arco en el centro del círculo es dos veces el ángulo sostenido por el mismo arco en la circunferencia del círculo.

Por lo tanto, por el cual el ángulo subtendido por el arco que describe el campo de visión requerido de los telescopios se da como 110° para el telescopio H en el centro del círculo con radio HG, el ángulo que el arco del campo de visión subtiende en la circunferencia, en telescopio G = 110°/2 = 55°

Por lo tanto, el telescopio G tiene que ajustar el campo de visión en 55° para cubrir la misma área que el telescopio H.

Solve for x: 3 < x + 3 < 6

Answers

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

What is 13 out of 25 as a decimal?

Plzzz help

Answers

Answer:

0.52

Step-by-step explanation:

0.52 is a decimal and 52/100 or 52% is the percentage for 13/25.

hope this is helpful:)

is the line through points P(-3,-2) and Q(2,3) perpendicular to the line through points R(10,-1) and S(15,-6)

Answers

Answer:

hope this helps you

We want to see if the two given lines are perpendicular or not.

We will see that yes, the lines are perpendicular.

First, let's define a general linear equation, it is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the slope of one is equal to the inverse of the opposite of the slope of the other.

Also, if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope of the line is given as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So we can get the slopes of the two given lines, for line PQ we have:

[tex]a = \frac{3 - (-2)}{2 - (-3)} = 1[/tex]

For line RS we have:

[tex]a = \frac{-6 - (-1)}{15 - 10} = -1 = -(1/1)[/tex]

So you can see that the slope of line RS is equal to the inverse of the opposite of line PQ.

Then yes, the lines are perpendicular.

If you want to learn more, you can read:

https://brainly.com/question/18271653

answer this plz :) i need it asap

Answers

Answer:

Step-by-step explanation:

12+12=24

2+2=4

8+8=16

add them up

44

Answer:

44

Step-by-step explanation:

12*2=24

2*2=4

8*2=16

24+4+16=44

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time?

Answers

Answer:

11 am

Step-by-step explanation:

can someone help me out ???

Answers

Answer: 3/8

Step-by-step explanation:

Need help with this math question

Answers

Answer:

B. 46

Step-by-step explanation:

10% is equal to 1/10, so we have x/10 = 20. We multiply by 10 on both sides, leaving us with x = 200. 23% of 200 is equal to 46.

4 of 10
As an estimation we are told 5 miles is 8 km.
Convert 76 km to miles.
miles

Answers

Step-by-step explanation:

To help solve this question we will put it into a ratio:

MILES:KM

5        :8              This ratio shows that 5 miles equals 8km.

47.5         :76       We can put 76 on the km side because we are told that in                                    

                            in the question. Lets find out how many times 8 was

                            multiplied to equal 76. 76 divided by 8=9.5 Because 8 was

                            multiplied by 9.5 we shall multiply 5km by 9.5  5x9.5=47.5

Therefore 76km is equal to 47.5miles.

If f(x)=7x+4x and g(x) =1/2x what is the value of (f/g)(5)

Answers

Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.


13, 17, 9, 21


What is the standard deviation for the data?


Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.


A.) 0

B.) 4

C) 2

D.) 26.7

Answers

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Which point on the number line represents a drop in temperature of 3 degrees? A B C D

Answers

Answer:

Its A and B uwu

Answer:

i got A

Step-by-step explanation:

trust me and u welcome

A dealer bought 18 toy chairs at Rs.65 per chair he sold 12 of them at Rs.75 each and the remaining chairs at rs
60 each find his profit or loss percentage

Answers

Answer:

The dealer's profit percentage is 7.692%

Step-by-step explanation:

18 × 65 = 1170

He spent Rs.1170

12 × 75 = 900

60 × (18-12) = 360

900 + 360 = 1260

He got a profit of Rs.90.

1170 × (1 + x/100) = 1260

1 + x/100 = 14/13

x/100 = 1/13

x= 7.692307692

Answer:

7.7%

Step-by-step explanation:

spent= Rs. 65*18= Rs. 1170

earned= 12*Rs. 75+6*Rs. 60= Rs. 1260

profit= Rs. 1260- Rs. 1170= Rs. 90

profit %= 90/1170*100%= 7.7%

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