Answer:
(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism is given by:
[tex]V_R = A_{b}*h[/tex]
In which [tex]A_b[/tex] is the base area and h is the height.
Volume of a pyramid:
[tex]V_P = \frac{A_{b}*h}{3}[/tex]
Relation:
From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.
A rectangular prism has a volume of 198 cm³
So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.
The correct answer is given by option B.
What is the value of the expression below when w=2
Answer:
26
Step-by-step explanation:
8 * 2 + 10 = 26
units digit in (126^2)
Answer:
The unit digit of (126²) is 6
Answer:
That would be 6.
Step-by-step explanation:
Here it is.
find the slope of the line going through the points (3,2) and (8,27)
Answer:
5
Step-by-step explanation:
y²-y¹/x²-x¹
Where y²=27
y¹=2
x²=8
x¹=3
= 27-2/8-3
=5
Alex has a bag of marbles. 3 are blue, 5 are red, 12 are green, and 8 are purple. What is the probability of drawing 3 purple marbles in a row without replacement?
I really really really really really really really really need help please help
Answer:
129 degrees
Step-by-step explanation:
One circle is 360 degrees, so add up all the degrees, including x:
35 + 55 + 141 + x = 360
231 + x = 360
x = 360 - 231
x = 129 degrees
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-2x+9≤5x-12
Answer:
x>3
Step-by-step explanation
-2x+9≤5x-12
Step 1: Subtract 5x from both sides.
−2x+9−5x≤5x−12−5x
−7x+9≤−12
Step 2: Subtract 9 from both sides.
−7x+9−9≤−12−9
−7x≤−21
Step 3: Divide both sides by -7.
−7x−7≤−21−7
Answer:
x≥3
The solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
According to the question
Solution set of inequality -2x+9≤5x-12.
-2x+9 ≤ 5x-12
-2x-5x ≤ -9-12
-7x ≤ -21
x ≥ 3 (sign changes as -ve sign eliminates )
Highlighted part in graph shows points
Hence, the solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .
To know more about inequality here:
https://brainly.com/question/20383699
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£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
What is the greatest common factor (GCF) of 24 and 42?
Answer:
6
Step-by-step explanation:
Can y'all help my little brother with his work I am too lazy to answer the questions for him HE IN THE 3RD GRADE
Answer:
1. are
2. like
3. love
4. jump
5. run
6. help
7. wears
8. spin
9. play
10. are
Step-by-step explanation:
Imao
Step-by-step explanation:
1) are
2)like
3)love
4)jump
5)run
6)help
7)wears
8)spin
9)play
10)are
Hope you guys have a nice day!♡
HELP QUICK EASY Pi WORK PLEASE HELP QUICK
Answer:
3.998 km?
not exactly sure but good luck
Step-by-step explanation:
A group of researchers was interested in the effect of music on the behavior of dogs. Specifcally, they wanted to
measure the effect of classical music on sleepiness as an indication of dogs' mental relaxation. They conducted
the following study on a group of 400 Jack Russell Terriers.
Every day for 4 months, the researchers would play Beethoven's Moonlight Sonata for 1 hour occurring
randomly between 9 a.m. and 12 p.m. During the entire 3 hours observers would record the times in which
each dog was sleeping. By the end of the 4 months, the researchers calculated and compared the percentage of
time each dog spent sleeping during each of two conditions: while the music was playing and while it wasn't
Is the study appropriate for the statistical questions it's supposed to answer?
Answer:
Step-by-step explanation:
The first part of the question would be: B) Experiment
The second part would be: C) No, because the sample the study used isn't representative of all dogs.
The independent variable is a variable that represents a quantity being manipulated in an experiment, the control group will be the group that did not hear the music, and the experimental group the group that heard the song.
What is Independent variable?An independent variable is a variable that represents a quantity being manipulated in an experiment.
xxx is often the variable used to represent the independent variable in an equation.
Dependent variables
A dependent variable represents a quantity whose value depends on how the independent variable is manipulated.
yyy is often the variable used to represent the dependent variable in an equation.
Confounding variable
It is a variable that influences both the dependent variable and the independent variable, causing a spurious association. The confounding variable is a causal concept and as such cannot be described in terms of correlations or associations.
With this information, we can conclude that, The control group are people who have not heard the music, the experimental group are those who heard the music, and the hypothesis is that music can change people's heart rate.
Learn more about Independent variables in brainly.com/question/900187
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. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
Ming traveled to the town hall and back. The trip there took two hours and the trip back took three hours. She averaged 10 mph faster on the trip there than on the return trip. Find Ming's average speed on the outbound trip.
Answer:30mph
Step-by-step explanation:
We know that the ratio must be 2:3. We know that 30 is 10 more than 20, which also fits into the ratio, so 30mph is the answer.
Find the number that makes the ratio equivalent to 12:1.
?:6
what is |-2|+|4| help ill do anything!
Answer:
6
Step-by-step explanation:
The absolute value of -2 is 2 because that is it's distance from 0 on a number line.
Then do the math. 2 + 4 = 6
Answer: 6X HOPE THIS HELPS!
| − 2 | + | 4 |
|-2|+|4|
∣−2∣+∣4∣
Solve
1
Find the absolute value
| − 2 + | 4 |
2 +| 4 | 2
Find the absolute value
Add the numbers
Solution
6
Step-by-step explanation:
Edgar earns $13 for each hour of yard work. How many hours in all will it take Edgar to earn $39? hours
bader ginsbury is 5 feet and 1 inch. how tall is she in inches?
Answer: 61 inches
Step-by-step explanation:
Answer:
61 inches
Step-by-step explanation:
Can you help me put these in order please
Step-by-step explanation:
8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566
Answer: least to greatest
8.4, 8.41, 8.485, 8.538, 8.55, 8.566
least to greatest
A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.
boole summation formula used in real life
What is 0.7151 as a fraction?
Answer:
i think its this
Step-by-step explanation:
*look at le picture
answer the following by setting up and following as a proporition
I need it quick
at a bad wolfs concert there are fifteen males for every twenty three people. if 23,675 people attend the concert how man males attend the concert?
2(x+4) -6
Can someone help me
2(x+4)-6
Here,Solution
or,(2x+8)-6
or,2x+2
how do i solve this problem 1/6 1/6 1/6 1/6
Answer:
4/6
Step-by-step explanation:
1/6+1/6+1/6+1/6=4/6
Which statement is true?
O A.
A triangle can be congruent to a square.
ов.
A rectangle can be congruent to a square.
C.
All circles are congruent.
OD
None of the above is true.
B can be correct if the length and breadth of the rectangle are the same
I need help but quick tho
Answer:
D.
Step-by-step explanation:
x = ±√36
x = ±6
hopes this helps :)
Answer:
D
Step-by-step explanation:
The square root of 36 is +6 and -6
A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The
tire pressure is currently 1,000 kilopascals. What will it be in 9 minutes?
If necessary, round your answer to the nearest tenth.
Answer:
10
Step-by-step explanation:
10
Don’t use for points or I’ll take it back
Help
Answer:
answer is 27 degrees
Step-by-step explanation:
first of all complementary angles add up to 90 degrees and you were given one angle
63 + x = 90
63-63 +x =90 -63
x = 27
hope that helps
solution of 4x=400 lies between two consective integers
Answer:
100
Step-by-step explanation:
Given the equation 4x = 400, we are to find the value o x
4x = 400
Divide both sides by 4
4x/4 = 400/4
x = 100
Hence the value of x is 100
HELP ITS LIKE AN IMPOSIBLE RIDDLE OF CONFUSION AND STRESS AND MADNESS IV BEEN STUCK ON FOR 7 YEARS, I WILL GIVE BRAINLIEST...5 POINTS...A THANKYOU, AND A 5 STARS PLS HELPPPPPPPPPP
what 1 + 1 :P
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
1 + 1 is 2