Answer:
10,583 flexible cubes
9915 rigid cubes
Step-by-step explanation:
The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height
Surface area = A + 1/2·p·s
The volume of the pyramid = 1/3×A×h
Where:
A = Area of the base = 20 × 20 = 400 ft²
h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)
h = √(80² - (20/2)²) = 30·√7
The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³
If the cubes are flexible, approximately 10,583 cubes
For rigid cubes we have
Given that the height of the pyramid = 30·√7
The slope of the pyramid = 30·√7/10 = 3·√7
So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)
The bottom can hold 400 cubes
The next layer can hold 19×19 = 361
3rd 361
4th 361
5th 324
6th 324
7th 324
8th 324
9th
Continuing, we get a total of about 9915 rigid cubes in the pyramid.
What is the value of m in the equation
zm = 16, when n = 8?
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).
Answer:
The correct answer is B.
Step-by-step explanation:
There is no clear rule regarding the relationship with these numbers. So it is not linear.
Good Luck!
Please answer this in two minutes
Answer:
[tex] t = 17.3 [/tex]
Step-by-step explanation:
Given:
∆TUV,
m < T = 87°
VT = u = 11
TU = v = 14
VU = t = ?
Use the Law of Cosines to find t as shown below:
[tex] t^2 = u^2 + v^2 - 2uv*cos(T) [/tex]
[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]
[tex] t^2 = 121 + 196 - 308*0.0523 [/tex]
[tex] t^2 = 317 - 16.1084 [/tex]
[tex] t^2 = 300.89 [/tex]
[tex] t = 17.3 [/tex] (rounded to the nearest tenth)
x + y + 5) and (2x – 2y – 3)
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
Let the number be x.
1/3 × 12 = 2/3 × x
Multiply.
12/3 = 2/3x
4 = 2/3x
Multiply both sides by 3/2.
4 × 3/2 = x
12/2 = x
x= 6
Answer:
1/3 of 12 = 2/3 of 6
Step-by-step explanation:
1/3 · 12 = 2/3 · x
12/3 = 2x/3
Multiply 3 on both sides.
12 = 2x
12 ÷ 2 = x
6 = x
Arrange in ascending order 1/4, 1/3, 1/18, 2/19.
2/19, 1/18, 1/4, 1/3
sorry about that.
Answer:
Ascending order is 2/19,1/18,1/4,1/4
Step-by-step explanation:
I hope this will help you:)
Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.
Answer:
[tex]\frac{3}{80}[/tex]
Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> [tex]\frac{0.09 m}{2.4 m}[/tex]
In simplest form
=> [tex]\frac{3}{80}[/tex]
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
Pls help me it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira .What is his percentage profit.
Answer:
40%
Step-by-step explanation:
He made 48 naira.
48 = 40% * 120
Given a right triangle with acute angle of 40° and a hypothenuse length of 35 feet, find the length
of the side opposite the acute angle.
Answer:
the length of the side opposite = 20.6 feet
Step-by-step explanation:
using SOHCAHTOA
Sin 40 = opp / hyp
Sin 40 = opp / 35
opp = sin 40 x 35
opp = 20.6 feet
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.
Answer:
D. I hope it helps!
Step-by-step explanation:
Darius is correct if only the median score is considered.
just took the quiz on edg.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices
Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.
Amanda pays £235
a) Work out the total cost of the holiday.
b) Work out how much Bethany pays.
(show all your working out)
Answer:
a. £564
b. £141
Step-by-step explanation:
a. Firstly, we add up the ratios
= 5 + 4 + 3 = 12
Amanda’s share was 5
Let the total amount be £x
Thus; 5/12 * x = 235
5x = 12 * 235
x = 2820/5 = 564
The total cost of the holiday is £564
b. We want to calculate what Bethany paid
That would be 3/12 * 564 = £141
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? (PLEASE HELP!!!)
Answer:
a7 = 38
Step-by-step explanation:
n is the term indicator
an = 5n+3
Let n=7 if we are looking for the 7th term
a7 = 5*7 +3
a7 = 35+3
a7 = 38
What is the slip of the line shown below?
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
square root of 524176 by long division
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:
Answer:
Its A
Step-by-step explanation:
i got it right
Which equation corresponds to the sentence
Answer:
5x = 60
Step-by-step explanation:
Let the number be x.
The product of 5 and x equals 60.
5 × x = 60
5x = 60
Hey there!
Answer:
5x = 60.
Step-by-step explanation:
If a product (multiply) of 5 and a number equals 60:
x - represents a "number"
5 · x = 60
5x = 60.
Evaluate 2/5 divided 1/4 Give answer as a mixed number in its simplest form
Answer:
1 3/5
Step-by-step explanation:
2/5 ÷ 1 /4
Reciprocal.
2/5 × 4/1
Multiply.
8/5
Convert to a mixed fraction.
1 3/5
The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Given that,
To evaluate 2/5 divided 1/4,
Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.
Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5
Now,
Mixed number = 8/5 = 3 1/5
Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ3
What is the solution to the system of linear equations graphed below?
A.) (0, 4)
B.) (4, 1/2)
C.) (1/2, 4)
D.) (0, 3)
Answer:
C.) (1/2, 4)
Step-by-step explanation:
The solution is where the two lines intersect
The lines intersect at x = .5 and y =4
Answer:
C.) (1/2, 4)
Step-by-step explanation:
Order the following numbers from least to greatest. 5/4; 1.3; 1 8/25 (The 1 8/25 is a mixed number reading One and Eight Twenty-fifths, not 18/25)
Answer:
5/4,1.3,1 8/25
Step-by-step explanation:
5/4 = 1.25
1 8/25=1.32
1.25<1.3<1.32
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
how do you do this : 40% of 98 = _____
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
What is 6 y minus 3 x = negative 18 written in slope-intercept form?
Answer:because that’s what the answer is
Step-by-step explanation:
Answer:
Y=1/2x-3
Step-by-step explanation:
In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!