The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
Answer:
The pyramid with the greater volume has 5in^3 more sand
Step-by-step explanation:
Given
Pyramid A
[tex]B = 25in^2[/tex] -- Base Area
[tex]h = 9in[/tex] --- height
Pyramid B
[tex]B = 30in^2[/tex]
[tex]h = 7in[/tex]
See attachment for pyramids
The volume of a square pyramid is:
[tex]V = \frac{1}{3}Bh[/tex]
First, calculate the volume of pyramid A
[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]
[tex]V_A = 25in^2 * 3in[/tex]
[tex]V_A = 75in^3[/tex]
Next, the volume of pyramid B
[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]
[tex]V_B = 10in^2 * 7in[/tex]
[tex]V_B = 70in^3[/tex]
To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes
[tex]d = |V_B - V_A|[/tex]
[tex]d = |70in^3 - 75in^3|[/tex]
[tex]d = |- 5in^3|[/tex]
[tex]d = 5in^3[/tex]
4h + 6 = 30
h =___?
Im in 7th grade and I really need help
Answer: h = 6
explanation:
first u get h by itself
4h + 6 = 30
subtract 6 from both sides
4h = 24
divide by 4 on both sides
h = 6
Answer:h=3/13
Step-by-step explanation: Subtract 6 from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.
what is the area of the conposite figure?
Step-by-step explanation:
Area of Rectangle = Length x Width
Area of Top Rectangle =
[tex]22 \times (31 - 18) \\ = 22 \times 13 \\ = 286 {ft}^{2} [/tex]
Area of bottom Rectangle =
[tex]18 \times 9 \\ = 162 {ft}^{2} [/tex]
Area of Composite figure = Area of top Rectangle + Area of bottom rectangle
[tex] = 286 + 162 \\ = 448 {ft}^{2} [/tex]
Sam and her brother Nate are collecting stamps together. Nate has collected 5 more than twice the number of stamps Sam has collected. In total they have 26 stamps. Let n be the number of stamps that Sam has collected. Which of the following equations models this situation?
1. 2n+5=26
2. n+2n+5=26
3. 2n+5-n=26
4. n+2(n+5)= 26
Answer:
2. n(2n+5)=26.
Step-by-step explanation:
If Sam has n stamps, and Nate has 5 more than twice that amount, the equation would be: 2. n(2n+5)=26.
11) Krystal and Rob each improved their yards by planting hostas and ivy. They bought their
supplies from the same store. Krystal spent $132 on 8 hostas and 4 pots of ivy. Rob spent $44
on 2 hostas and 2 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?
Answer: Cost of one hosta = $11
Cost of one pot of ivy = $11
Step-by-step explanation:
Let the the cost of one hosta be represented by x.
Let the cost of one pot of ivy be represented by y.
The information given in the question can be formed into an equation as:
8x + 4y = 132 ............ i
2x + 2y = 44 ............. ii
Multiply equation i by 2
Multiply equation ii by 4
16x + 8y = 264 ........ iii
8x + 8y = 176 ........ iv
Subtract iv from iii
8x = 88
x = 88/8
x = 11
One hosta cost $11
From equation ii
2x + 2y = 44
2(11) + 2y = 44
22 + 2y = 44
2y = 44 - 22
2y = 22
y = 22/2
y = 11
One pot of ivy cost $11
what number is b in algebra
Answer:
I could be any number.
But it couldn't just be a 'b' it could be other letters. The letters is just a grown up way of saying a missing number. Its like saying:
10+b=11..
11-b=10..
therefore b=1
Does that make sense
It can also mean in the quadratic formula b
Step-by-step explanation:
In algebra, the variable "b" represents an unknown or variable number.
It is used to denote a quantity that can vary or take on different values. The purpose of using variables in algebraic equations is to generalize mathematical relationships and solve problems with unknown quantities. By assigning the letter "b" to a variable, we can manipulate and solve equations using algebraic operations, such as addition, subtraction, multiplication, and division.
The value of "b" can be determined through various methods, such as solving equations, simplifying expressions, or applying mathematical principles. The flexibility of variables like "b" allows us to solve a wide range of problems and analyze mathematical relationships without relying on specific numerical values.
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Find the median of the data in the bar chart below 4 11 5 8
Answer:
The median is 6.5 :)
Step-by-step explanation:
Brainliest please?
The median of the data in the bar chart given is 6.5 kilometers.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.
Given is a bar chart which shows the distance that each family member run in a relay race.
The data is given as :
4, 11, 5, 8
In order to find the median, first arrange the data in an increasing order.
4, 5, 8, 11
Since there are even number (4) of data points, median is the average of the middle two elements.
Median = (5 + 8) / 2 = 6.5 km
Hence the median of the given data is 6.5 kilometers.
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please help!! i will give brainliest.
Answer:
3/10 inches apart
Step-by-step explanation:
total miles based on 2" equals 33 miles can be found by solving this proportion:
2/33 = 6/x
2x = 198
x = 99
99 miles divided by 11 rest stops means each stop is 9 miles apart
now use new ratio of 1" equals 30 miles
1/30 = x/9
30x = 9
x = 9/30 or 3/10 inches
NEED HELP!! NO Absurd answers!
Use technology or a z-score table to answer the question.
The normal admission price to see a movie at different theaters is normally distributed with a mean of $11.80 and a standard deviation of $1.15.
Approximately what percent of theaters charge more than $10 to see the movie?
5.8%
19.8%
80.2%
94.2%
Answer:
Approximately 94% of theaters charge more than $10 to see the movie.
Step-by-step explanation:
Use a calculator with distribution functions such as normalcdf(
Here we have normalcdf(10,1000,11.80, 1.15) = 0.941
Approximately 94% of theaters charge more than $10 to see the movie. This agrees with the last answer choice.
Find the volume of this cylinder.
Round to the nearest tenth.
8ft
-5ft
[?] ft3
Answer:
628 ft
Step-by-step explanation:
The volume of cylinder is, V= 628 ft³.
What is Volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given:
radius,r= 5 ft, height, h = 8 ft
Volume= πr²h
V= 3.14 * 5 *5 * 8
V= 628 ft³
Hence, the volume of cylinder is 628 ft³.
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Can someone please tell me the answers
Answer:
3. [tex]190yd^{2}[/tex] 4. [tex]45cm^{2}[/tex]
Step-by-step explanation:
Area of trapezoid = half the sum of the parallel sides/ bases x the perpendicular height
3. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(17+21)10}{2}[/tex]
= [tex]\frac{380}{2}[/tex]
= [tex]190yd^{2}[/tex]
4. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(4.5+5.5 )9}{2}[/tex]
= [tex]\frac{90}{2}[/tex]
= [tex]45cm^{2}[/tex]
hope this helps :)
YALL JHITTS GO ADD MY T IK T OK
ITS >. * twoplayaany*
im following back
Answer:
Okay bestie ‼️
Step-by-step explanation:
NO LINKS PLEASE- OR I SWEAR-
What is the peak of this data set? *
A. 80
B. 100
C. 150
Answer:
A. 80
Step-by-step explanation:
There are more points on 80 than on the other ones. By this, you can tell that it's the PEAK of the data set.
Hope this helps! Please brainliest!
Answer:
It is A) 80Step-by-step explanation:
In which point has more balls ( it is on 80)
I hope that is useful for you :)
Can someone help me with this. Will Mark brainliest.
Answer:
b(-1,-8)
Step-by-step explanation:
assuming x2 and y2 are the coordinates of b.
and x1 and y1 are the coordinates of A
midpoint are (xm, ym)
formula xm= (x1+x2)/2
ym=(y1+y2)/2
If a driver drive at a constant rate of 34 mph how long would it take for the driver to 323 miles?
Answer:
9.5 hours
Step-by-step explanation:
323/34 = 9.5 hours
please help me .......
Answer:
A
Step-by-step explanation:
Jamie was surveying students about their use of the new science lab in a school. Which question in the survey is a statistical question?
Complete Question is:
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer:
D.) How many class projects did you complete using the computer lab?
The answer is D because the question is directly related to the use of their new computer lab and the number of projects the students have completed in the computer lab. This is directly related to the survey since it is carried out for the students using computer lab.
Which of the following statements best describes the value of the expression 6x + 7 when x = 5?
Answer:
? is there a option?
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
6x+7
6(5)+7
37
The diameter of this circle is 12 inches. The diameter of the smaller circle is 8 inches. find the area of the SHADED region.
Answer:
so you multiply 12 by 8 =96
Answer:
area of large circle=pi×r²
area of large circle =3.14×12²
area of large circle=452.16in²
area of small circle=pi×r²
area of small circle=3.14×8²
area pf small circle=200.96in²
area of shaded circle=452.16in²- 200.96in²
area of shaded circle =251.2in²
PLEASE HELP!!
Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?
A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59
Answer:
234
Step-by-step explanation:
x=2+3
What is 2+2 minus 32 multiplied by 438? is the answer a squareroot, yes or no?
y=5x
y=-3x+24
Solve by substitution
Answer:
x=12
Step-by-step explanation:
5x = -3x+24
2x = 24
x = 12
If 3 out of 4 people use a certain headache
medicine, how many in a city of 150,400
will use this medicine?
(A) 118, 200
(B) 37,600
(C) 50, 133
(D) 112,800
Answer:
(D) 112,800
Step-by-step explanation:
75%x150,400= 112,800
112,800 use the headache medicine.
Answer:
option D
Step-by-step explanation:
Out of 4 , 3 use headache medicine . So the fraction is 3/4 .
Total number of people in city = 150,400 .
So ,
⇒ n = 3/4 × Population
⇒ n = 3/4 × 150,400
⇒ n = 112,800
Hence option D is correct.HELP ASAP!!!!!!! BRAINLIEST
5 attached
Answer:
I answered it on the second time you asked this question check it out
question in screenshot
Answer:
10
Step-by-step explanation:
use pythagorean theorm
√(8^2+6^2) = 10
Complete the equation of this circle:
Please help will mark brainliest!!
Answer:
(x+2)^2 +(y-4)^2
Step-by-step explanation:
correct answer: ( x - ( -2 ) ) ² + ( y - 4 ) ² = 36
so put in -2 for the first blank, 4 for the second and 36 for the last blank!
btw it can be simplified to (x+2)² + (y-4)² = 6²
but thats not what theyre asking for ^^
Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish
Answer:
D Length of F I S H
Step-by-step explanation:
I chose the bowling one and got it wrong, but you can have the right answer
Answer: length of a fish
Step-by-step explanation: quizzzz
Please help!!! I’ll mark you as brainliest!!!!!!
0.138613961 as a percent rounded to the nearest tenth
Answer:
13.9% Approximately
Help ASAP I’ll give brainliest how do u find this out or how do u think we could find this out
Answer:
9526/87
Step-by-step explanation:
87·x=9,526
x=9526/87
7.13 hm³ = _____m³
Convert this!
Options
713 x 10^4
71.3 x 10²
71.3 x10³
713 x 10²
Answer:
71.3 * 10² that's the answer to your question
Step-by-step explanation:
The answer is 713 X 10^4
I hope it helps