Answer:
a. S = 6.72 cm
b. A = 1075.70 cm²
c. V = 1,719.1 cm³
Step-by-step explanation:
How to Find
The volume of a frustum of a regular pyramid is equal to one-third of the altitude multiplied by the sum of its bases and the geometric mean between them.
How to Solve
Volume = (1/3)πh (r12 + r22 + (r1 * r2))
Lateral Surface Area
= π(r1 + r2)s = π(r1 + r2)√((r1 - r2)2 + h2)
Top Surface Area = πr12
Base Surface Area = πr22
Total Surface Area
= π(r12 + r22 + (r1 * r2) * s)
= π[ r12 + r22 + (r1 * r2) * √((r1 - r2)2 + h2) ]
To find:
a. the height of the pyramid of which the frustum is a part.
Then, s = 6.7201190465646 cm
In the nearest tenths, the slant height is S = 6.72 cm
b. the surface area of the pyramid.
Then, L = 422.23753255872 cm²
In the nearest tenths, the Surface area of the pyramid is A = 1075.70 cm²
c. the volume of the frustum
Then, V = 1719.0795000443 cm³
Therefore, the volume is 1719.01 cm³ In the nearest tenths
5. A factory conveyor has an angle of
depression of 18° and drops 10 feet. How
long is the conveyor?
Answer:
ccccccccc
Step-by-step explanation:
how do i do this pls help
What’s the answer?!!!!!!
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 30 , then 30² = 900
20² + 23² = 400 + 529 = 929 ≠ 900
Then the triangle is not right.
The formula for the volume of a pyramid is
V=1/3bh
Which equation solves the formula for h
Answer choices:
F: h=3Vb
G: h=3b/V
H: h=3V/b
J: h=V/3b
Answer:
h = 3v/b
Step-by-step explanation:
Here, we want to select the equation that solves for h
What this simply means is that we should make h the subject of the formula
Thus, we have 3 * v = bh
3v = bh
h = 3v/b
Manny and james and idris equally shared 1/2 of a pie. which fraction of the whole pie did each of them receive? GIVEING BRAINLIEST
Answer:
1/6 of whole pie
Step-by-step explanation:
Half a pie divided by three pie eaters is 1/6 pie each.
Answer:
0.16
Step-by-step explanation:
1/3 ÷ by 3 djsjsjjsjssj
Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticket is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.
Answer:
$4895
Step-by-step explanation:
P(winning) = 1 / 1000000 = 0.000001
P(not winning) = 1 - 1/1000000 = 0.999999
Winning amount = 4,900,000,000 - 5 = 4899999995
Amount lost = - 5
__ X: - 5 _________ 4899999995
P(X) : 0.999999 ___ 0.000001
Expected value E(x) = Σx * p(x)
E(x) = - 5(0.999999) + 4899999995(0.000001)
E(x) = - 4.999995 + 4899.999995
E(x) = 4895
Hence, expected value is 4895
help would be nice right about now:)))
Answer:
6x+4=52
-4 -4
6x=48
/6 /6
x=8
Step-by-step explanation:
i hope this helps :)
Find the value of x. Round to the nearest tenth.
i have no idea how to explain it so help pleasee
What is statistics?
Answer:
Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.
plz can i get brainliest:)
if x/6 = 6/9 whats the value of x and pls give explanantion
Answer:
x=4
Step-by-step explanation:
[tex] \frac{x}{6} = \frac{6}{9} = > 9x = 6 \times 6 = > x = \frac{36}{9} = > x = 4[/tex]
Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $50 every time one of her songs is played in a commercial and she will earn $150 every time one of her songs is played in a movie. Emily's songs were played on 3 times as many commercials as movies and her total earnings on the royalties from all commercials and movies were $600. Graphically solve a system of equations in order to determine the number of commercials, x,x, and the number of movies, y,y, on which Emily's songs were played.
Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
a truck driver drives at an average rate of 43 miles per hour . at the rate how many miles will he drive in 11 hours
Answer:
473 miles
Step-by-step explanation:
43 mph for 11 hours = 43×11 = 473
Please help my brain isn’t working
Answer:
2.25
Step-by-step explanation:
substitute x = -2 into y = (2/3)^x
=> y = (2/3)^-2
=> y = 9/4 = 2.25
Find the solution(s) of the following equation.
Answer:
The answer of this question is none of the above
help me pls very much appreciated luvs <33
Answer:
18
Step-by-step explanation:
Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.
Variable x = dimes = $0.10
Variable y = quarters = $0.25
Set up a system of equations:
x + y = 38
x(0.10) + y(0.25) = 6.80
Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.
20 dimes:
20 + y = 38
y = 18
20(0.10) + 18(0.25) = 6.80
2 + 4.5 = 6.80
6.5 does not equal 6.80
Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:
38 dimes:
38 + y = 38
y = 0
38(0.10) + 0(0.25) = 6.80
3.8 + 0 = 6.80
3.8 does not equal 6.80.
Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.
6
6 + y = 38
y = 22
6(0.10) + 32(0.25) = 6.80
0.60 + 8 = 8.60
8.60 does not equal 6.80.
This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.
18
18 + y = 38
y = 20
18(0.10) + 20(0.25) = 6.80
1.8 + 5 = 6.8
6.8 does equal 6.8.
Correct!
i need help on my math problem
Answer:
420 cubic inches. Or 420 inches cubed
Step-by-step explanation:
V = l * w * h
12 * 7 * 5 = 420
Answer:
7*5*12= 420
Step-by-step explanation:
Volume of a rectangular prism would be Length * width * height.
so the length = 12 inches
the width = 5 inches
and the height = 7 inches
Plug those in and you get 420 inches cubed :)
HELP DUE IN 15 MINS!
A regular pentagon and a regular hexagon are shown below. Find x.
x =?? degrees
Answer:
Step-by-step explanation:
What an interesting question!
The exterior angles of any regular figure is found by dividing 360 by the number of sides.
So for the pentagon, the exterior angle would be
360 / 5 = 72 degrees.
The same argument can be made for the hexagon. 360 / 6 = 60
What makes this problem so tricky is that 60 + 72 = 132
132 is the sum of both exterior angles put together.
There are three colors of jellybeans in a jar: Red, orange, and yellow. On a random pick, the probability of getting a red jellybean is 1/8 and the probability of getting an orange jellybean is 1/4. What is the probability of getting a yellow jellybean?
Answer: 5/8
Step-by-step explanation:
Probability of getting a red jellybean = 1/8
Probability of getting an orange jellybean = 1/4
Probability of getting a yellow jellybean = 1 - (⅛ + ¼)
= 1 - (1/8 + 2/8)
= 1 - 3/8
= 5/8
Therefore, the probability of getting a yellow jellybean is 5/8
−7x−50≤−1 AND−6x+70>−2
(Choice A)
A
x\geq-7x≥−7x, is greater than or equal to, minus, 7
(Choice B)
B
-7\leq x<12−7≤x<12minus, 7, is less than or equal to, x, is less than, 12
(Choice C)
C
x<12x<12x, is less than, 12
D
There are no solutions
E
All values of xxx are solutions
Answer:
B. -7 is less than or equal to x, which is less than 12
Step-by-step explanation:
-7x -50 </= -1
add 50 to both sides
-7x <= 49
divide both sides by -7. When you divide and inequality by a negative number, the direction of the inequality changes.
x >/= -7
---------------------------------
-6x + 70 > -2
subtract 70 from both sides
-6x > -72
divide both sides by -6, flipping the inequality sign
x < 12
------------------------------
Since the problem says *and*, we can say x is equal than or greater to -7 and less than 12
-7 </= x < 12
please let me know if you have questions, or if the signs don't come through clearly
Answer:
That other persons explantion and answer is correct.
Step-by-step explanation:
Help me with this question pls
CAN ANYONE HELP ME NOW PLEASE ASAP!!
Answer:
885735
Step-by-step explanation:
Each number is being multiplied by 3
5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98415, 295245, 885735
Answer:
885735
Step-by-step explanation:
Its multiplying by 3
5, 15 ,45 ,135 ,405 ,1215 ,3645 ,10936 ,32805, 98415, 295245, 885735
PL PLZ HELP 50+ POINTS PLZ ACTUALLY 100+ POINTS IF YOU HELP!!!!!!! ALSO, BRAINLIEST FOR THE BEST ANSWERS FOR ALL OF THEM!!!!
Answer:
ID/K BOI!!!!!!!!!!!!!!!!
Step-by-step explanation:
Translate 5 units left and 3 units down.
Answer: B
Step-by-step explanation: Hope this help :D
5. X<5
Put it on a line plot
Answer:
Look at the image.
Step-by-step explanation:
80% of the tickets sold at a water park were child tickets. If the park sold 720 tickets in all, how many child tickets did it sell?
Answer:
576 child tickets were sold.
Step-by-step explanation:
Since you know the amount of tickets that were sold and the percentage of the tickets that were child tickets, you have to multiply the number of tickets sold by that percentage to find the answer:
720*80%= 576
According to this, the answer is that 576 child tickets were sold.
To set a password, you must select 3 numbers from 0 to 9. How many possible passwords can be chosen if each number may be used more than once?
720
b r u h s t u p id
Find the square root.
-
[tex]\sqrt{x} 9/25[/tex]
Answer:
1.4
Step-by-step explanation:
............... ..............
0 0
Find the area of the following
11cm
6cm
Answer:
Area = lw
11 x 6 = 66
Answer is 66 cm squared
Simplify the expression to a polynomial in standard form:
(4x - 5)(2x^2 – 3x - 3)
Answer:
8x³ - 22x² + 3x +15
Step-by-step explanation:
I do quick mathz
What is the measure of RMN( don’t understand how to get the answer) PLZZZ HELP.
Answer:
RMN+117°=180
RMN=63°
Angle RMN is on the straight line with <117 in which the sum of angle on a straight line add up to 180 so we subtract 117 from 180 to get RMN