PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.
What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.
(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
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.
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
1. 8
2. 8 x 4 = 32
3. 32 x 4 = 128
4. 128 x 4 = 512
5. 512 x 4 = 2,048
6. 2,048 x 4 = 8,192
7. 8,192 x 4 = 32,768
8. 32,768 x 4 = 131,072
9. 131,072 x 4 = 524,288
Please show work :) thanks for the help.
Answer:
-3f
0
f1
Step-by-step explanation:
(x = -3) f x -3 -3f
(x = 0) f x 0 = 0
x = 1) f x 1) f1
What is the difference of
7
8
−
1
3
?
A.
7
+
1
8
+
3
=
8
11
B.
7
−
1
8
−
3
=
6
5
C.
7
×
1
8
×
3
=
7
24
D.
(
7
8
×
3
3
)
−
(
1
3
×
8
8
)
=
21
24
−
8
24
=
13
24
Answer:
I think it is a
Step-by-step explanation:
so sorry if it wrong i tried my best
Answer:
Well the answer is 0.54166666666
Step-by-step explanation:
7/8- 1/3= 0.54166666666
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
Plz answer correctly
Answer:
B) -1,-4,-7,-10,........
The first five terms
-1,-4,-7,-10,........
Step-by-step explanation:
Explanation:-
Given that the explicit rule
[tex]a_{n} = -3n +2[/tex]
Put n=1
⇒ a₁ = -3(1) +2
a₁ = -1
Put n=2
⇒ a₂ = -3(2)+2
a₂ = -6+2
a₂ = -4
Put n=3
a₃ = -3(3)+2
a₃ = -9+2
a₃ = -7
Put n=4
a₄ = -3(4)+2
a₄ = -12+2
a₄ =-10
The first five terms
-1,-4,-7,-10,........
library 3.5x250
[tex]3.5 \times 500 = [/tex]
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME
Answer: 50 miles
Step-by-step explanation:
Because 25 x 2 = 50
and 1 inch is 25 miles and 2 inches is then 50 miles
Answer:
C. 50 miles
Step-by-step explanation:
Which is more, 1 kilometer or 598 meters?
Answer:
1 kilometer
Step-by-step explanation:
each kilometer is 1000 meters, so you would expect
1000 > 598
Please help me!! Thank you!!
Answer:
[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]
If my answer did not help you, comment below but please don't delete it.
A line includes the points (8,5) and (9, – 5). What is its equation in point-slope form?
Answer:
Step-by-step explanation:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]
Point-slope form:
y - y1 = m(x - x1)
y - 5 = -10(x - 8)
The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.
7.13 g =
cg what is the answer
Answer: 713 cg
Step-by-step explanation:
1 g = 100 cg
----------------------------------------------------------
Given
7.13 g = ? cg
Solve
7.13 × 100 = 713 cg
Hope this helps!! :)
Please let me know if you have any questions
What is the remainder of 96÷7
Answer:
13 reminder 7.
Step-by-step explanation:
hey!! plz answer this question correctly plz plz plz im on a very tight time crunch thanks besties
Answer:
b is the answer I choose because it is going in-5
Answer:
B
Step-by-step explanation:
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
Help me with my math **50 pts** I mark brainliest**
Answer:
2)
[tex]2x + 6x + 8 = 32[/tex]
collect like terms
[tex]8x + 8 = 32[/tex]
move the constant to the right hand side and change its sign.
[tex]8x = 32 - 8[/tex]
Subtract the numbers
[tex]8x = 24[/tex]
Divide both sides of the equation by 8
[tex]x = 3[/tex]
Fill in the blank.
(3 + 8) * 4 = (3 * _ ) + (8 x 4)
Answer:
3
Step-by-step explanation:
seaerch it up
Answer: 4
Step-by-step explanation:
(3+8)*4=(3*_)+(8*4)
11*4=(3*_)+(8*4)
44=(3*_)+(8*4)
44=(3*_)+32
44-32=12
3*_=12
(3+8)*4=(3*_4_)+(8*4)
An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds full a cubic foot is about 7.5 gallons
Answer: i believe it'll take 6 gallons to fill up the tank two thirds full
Step-by-step explanation: 3 x 1 x 2 = 6 gallons
5) A book is sold at $152.50 and a discount of 9% is given for students.
Find the cost of the book.
13
Answer:
$138.78
Step-by-step explanation:
152.50 decrease 9% =
152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775
Solve the following variation
If y varies directly as x and y = 9 when x = 3, find y when x = 8.
Answer: y-9x+3
Step-by-step explanation:
Suppose that 65\ee, percent of the 310{,}000310,000310, comma, 000 citizens in a county are registered to vote. A not-for-profit organization takes an SRS of 100100100 of these citizens and finds that 67\gg, percent of those sampled are registered to vote. The organization plans on taking repeated samples like this. What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are registered to vote
Answer:
mean= 0.65
standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]
Step-by-step explanation:
The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.
The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:
standard error = √((65% × 35%) / 100)
= √((0.65 × 0.35) / 100)
= √(0.0227 / 100)
= √(0.0000227)
= 0.004779
Therefore, the standard deviation is approximately 0.004779.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ5
100 POINTS! MUST EXPLAIN ANSWER!
Answer:
Answer: A and B.
Step-by-step explanation:
Supplementary angles are a pair of angles that add 180 degrees.
A. Show two angles that form a 180 degree angle, so they are supplementary.
B. This angles add 180 degrees, so they are supplementary.
C. The two angles add 90 degrees, so they are complementary, not supplementary.
D. This angles add 90 degrees, so they are complementary, not supplementary.
Answer and Step-by-step explanation:
Answer:
Answer: A and B.
Bit by bit clarification:
Valuable points are a couple of points that add 180 degrees.
A. Show two points that structure a 180 degree point, so they are beneficial.
B. This points add 180 degrees, so they are beneficial.
C. The two points add 90 degrees, so they are reciprocal, not valuable.
D. This points add 90 degrees, so they are reciprocal, not beneficial.
Make y the subject of the following equation.
5x + y = -10
a. y = -5x + 10
b. y=-10 - 5x
c. y = -10 + 5x
d. y + 10 = -5x
Answer:
b
Step-by-step explanation:
if you subtract 5x then you will get y=-10-5x
Naomi used a rectangle a square and a right triangle to form figure. What is the area of the shaded region of the figure in square centimeters
Answer:
Nothing.
Step-by-step explanation:
I believe you needed a picture.
Proportional Relationships & Percentages:Question 1
Latonya bought hotdogs for $1.29 each to sell in the
concession stand. She sold them for $3.00 each. What is
the approximate percent increase in price?
Answer:
57%
Step-by-step explanation:
Given data
Cost price = $1.29
selling price= $3
Change= 3-1.29
Change= $1.71
Hence the % increase
= 1.71/3*100
= 0.57*100
= 57%
Cafe Cookies
Fraction Cafe is known for its delicious raisin cookies. On the average, ninety-six
cookies are sold each day. The raisin cookie recipe calls for two and one-half cups of
raisins per batch. One batch makes eight dozen cookies. How many cups of raisins are
needed to make enough cookies for one week? Show all your mathematical thinking.
Answer:
i need points so im r
sorry
Answer:
First of all this doesn't seem like a college question but- kay- the answer is 17 and a half cups of raisins.
Step-by-step explanation:
First of all, we need to find how many cookies are in each batch. A dozen is 12, meaning that we do 8 times 12 to see how many cookies are in each batch. 8 times 12 equals 96. This means that Fraction Cafe only makes 1 batch of cookies a day. This makes the following question simple, all we need to do is multiply how many cups of raisins it takes to make one batch, which is 2 and one half, and multiply that by 7 because there are 7 days in a week. First I converted the fration into a decimal making the number 2.5 then, I used long multiplication and moved the decimal from the 2.5 over the the right 1 place. This now makes it 25 times 7. If you know your money values, you could just count 7 quarters because quarters are 25 cents (assuming you use a currency with quarters). 7 quarters are equal to $1.75 or in our case, just 175. But we're not done yet. Remember that decimal point that we moved out of the way? We have to move it back now, meaning that since we moved the decimal 1 place to the right, we have to move it 1 spot to the left making the answer 17.5, or 17 and one half.
Which quadrants are (-4,5) in
Answer:
Quadrant 2
Step-by-step explanation:
Take a look at the picture I added it should help you on futures questions like this :)
can u plzz find me a length of adjacent
Answer:
There is no answer
My Logic:
The picture does not specify the degree of angle for each corner, nor can i understand what the random "a" is. also the side all the way to the left has an un-readable number.
member owes $16.00 and pays $20.00 in Cash. The change due is $3.50.Provide the amount owed using the smallest number of bills and coins possible
Answer:
10 dollar bill, 5 dollar bill, and one dollar.