Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
Complete the proof!!!
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠1 and ∠2 are supplementary [tex]{}[/tex] Given
∠1 and ∠3 are supplementary [tex]{}[/tex]
2. m∠1 + m∠2 = 180° [tex]{}[/tex] (1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3 [tex]{}[/tex] Transitive Property
4. (3) m∠2 = m∠3 [tex]{}[/tex] Subtraction property of equality
5. ∠2 ≅ ∠3 [tex]{}[/tex] (4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.
two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.
Answer:
220 mph ; 230 mph
Step-by-step explanation:
Given that :
Speed of First boat = x
Speed of Second boat = y
y = (10 + x) mph
Distance apart after 3 hours = 150 miles
Speed of the boats :
Speed / time = distance
First boat distance = x / 3
Second boat distance = (10+x) /3
x/3 + (10+x)/3 = 150
x + 10 + x = 150 * 3
2x + 10 = 450
2x = 450 - 10
2x = 440
x = 220 mph
Speed of second boat = 220 + 10 = 230 mph
Plss help I’ll mark brainlist
Answer:
If it's 16, then it's -4 > x
Step-by-step explanation:
Ignore the inequality sign first and solve 12 = -3x
This would equal -4 = x
Now, when you divide or multiply both sides by a negative, you have to change the inequality sign so you change it from -4 > x to -4 < x
What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%
Aubree drives 15 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go
which of the equations below has a slope of 1/4
Answer:
uh you didnt put the picture please put the picture i really want to help you:)
Step-by-step explanation:
Answer:
bra
Step-by-step explanation:
I will give brainliest! In the figure, the circle has a center O and has a radius of 10. If the length of arc AB is between 5 and 6, what is one possible integer value of x?
Answer:
any integer in between 29,30,31,32,33,34 will work.
the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution
Answer:
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
Step-by-step explanation:
Given statement is:
"difference of two variables x and y is 7"
This can be mathematically written as:
[tex]x-y = 7[/tex]
To solve this we have to put y = 1 and y = 3
Now,
Putting y = 1 in the equation
[tex]x-1 = 7\\x = 8[/tex]
Putting y = 3 in the equation
[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]
Ordered pairs are of the form (x,y)
Hence,
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
As soon as possible please I have to turn it in today
Answer:
[tex]blue \: painted \: cups = \frac{1}{2} [/tex]
Step-by-step explanation:
use linear extrapolation
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
4.4 + [4 × 1/4 + 8.6]
Answer:
14
Step-by-step explanation:
an angle is equal to five times of its complement then what is its measures
Answer:
Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.
Step-by-step explanation:
1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?
HELP ASAP
Answer: 20
Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.
6 x 3 = 18 feet plus the 2 extra = 20 feet
Please only answer if you know
Answer:
A, C
Step-by-step explanation:
A.)
32 / 8 * 5.25 ----> 4 * 5.25 ----> 21
C.)
4 * 12.5 / 2----> 49 / 2 ----> 24.5
Answer:
between 20 & 30?
A & C
Step-by-step explanation:
A) 32 / 8 * 5.25 = 21
B) -18 / 6 * 9 = -27
C) 4 * 12.5 / 2 = 25
D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26
Which of the following numbers is irrational?
A) 6.124
B) √7
C) √0.25
D) 0.12¯¯¯¯
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Helppppp pleazeee!!!
Answer:
wooo
Step-by-step explanation:
Rewrite 12/20 with the denominator of 100
Explain how to get it
what's the common difference in −1,−4,−7,−10
Answer:
-3
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
PLS HELP! ILL MARK BRAINIEST! what is the x and y intercept for this equation?
70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please
Answer:
the price with the offer is going to be 1.59$
Step-by-step explanation:
[tex] \frac{x}{5.30} = \frac{70}{100} [/tex]
[tex]100(x) = 70(5.30)[/tex]
[tex]100(x) = 371[/tex]
[tex] \frac{100(x)}{100} = \frac{371}{100} [/tex]
[tex]x = 3.71[/tex]
[tex]70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71[/tex]
[tex]5.30 - 3.71 = 1.59[/tex]
PLEASE PLEASE HELP ME I REALLY NEED HELP
Answer:
(a) yes it does
(b) the rate is constant because the rate of change (slope) is the same throughout the function.
(c) The rate, or rate of change, is -1/2.
y1 - y2/x1-x2
4 - 2/3 - 9
2/-6
-1/2
The last answer choice is $0.08 per minute
PLEASE help I'll give 20 points
V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answer:
46.5 miles per hour
Step-by-step explanation:
Given that :
Speed of A car v in miles per hour based on length L in feets ;
V = √(20L)
Skid mark (L) = 108 feets
V = √(20 * 108)
V = √2160
V = 46.475800 miles per hour
V = 46.5 mph
What is the slope of the line? Thank youu
Answer:
y=05x+3.5.
that's thw answers
What is the sum of the measures of the exterior angles of this triangle
Answer:
180°
Step-by-step explanation:
because because that's how much the angle of this triangle is
The sum of the exterior angles is always 360. This applies to any polygon.
note: If you wanted to sum up the interior angles, then the answer would be 180.
Help me with this answer I know there is no solution I just wanna know why
Answer:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true
Answer:
No solution
Step-by-step explanation:
The solution x = 0 means that the value 0. “No solution” means that there is no values
Please help me with these questions ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
For the first picture: m angle t=36 and m angle v=54
For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180
Step-by-step explanation:
For the first picture, you had to do 2x+3x+90=180
We got the 90 from the right triangle.
Then you combine like terms, which was then 5x=90=180
Then, you subtract the 90 from both side, leaving 5x=90
Divide 90 by 5, which gives you x=18
For both the answers, you had to do 2(18) for T and 3(18) for V
The second picture, you did (8y + 1) + (5y + 5)= 136
You combine like terms, which levas you with 13y + 6 = 136
You subtract 6 from both sides, leaving you with 13y= 130
Divide 130 by 13, which is 10 so y=10
You then replace the y for (8y + 1) to 10 and solve
As well as for (5y + 5), you replace the y with 10 and solve
And m angle QRP is 180 because every triangle has a total of 180 degrees
Hope this helped!
What is the solution to the system of equations below?
y=-x+6 and y-x-6
O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)
Answer:
O (-18, 12)
Step-by-step explanation:
brainiest plz
Given AABC : ADEF, find x.
E
B
x
8
А
С
D
12.
18
10
12
14
27
Answer:
bx8
Step-by-step explanation: