What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *
Answers
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.
The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is the length of its height∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]
∵ YX = 6√3
∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]
∵ tan(60) = √3
∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
Related Questions
What is the value of x in the equation 5(3x + 4) = 23?
start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction
Answers
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Step-by-step explanation:
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5
amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.
Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".
which of the following represents an exponential function
Answers
Answer:
what are the options
Step-by-step explanation:
can someone please help me?
Answers
Answer:
70°
Step-by-step explanation:
since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)
a triangle adds up to 180°
so to find x we set this up:
x +55 +55 = 180
x + 110 = 180
x = 70°
HELLOPPPPPPPP ASAPPPPPP PLEASEEEE
Answers
Answer:
A.
Step-by-step explanation:
i am in need of help
Answers
AD=AD( the same side of two angles).
the sum of two numbers is 18 their difference is 8
Answers
Answer:
13 and 5
Step-by-step explanation:
x+y=18
x-y=8
_____
2x=26
x=13
So the first number must be 13
13+y=18
y=5
And the second number must be 5
When we write out the system of equations, we will get:
x+y=18
x-y=8
We can then use elimination to get just one variable.
x+y=18
+x-y= 8
Which gives us: 2x=26
We then divide by 2 and get: x=13
We next plug that into one of the two equations and solve for the other variable: (13)+y=18
We subtract 13 from both sides and get: y=5
So the two numbers are 13 and 5.
~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )
Based on the graph, which inequality is correct for a number that is to the right of -3?
A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.
a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6
Answers
Answer:
The inequality
[tex]4\:>\:-3[/tex]4 can is always greater than -3, so [tex]4\:>\:-3[/tex] is also correct.
Therefore, option 'a' is correct.
Step-by-step explanation:
Given the inequality
[tex]-3\:>\:4[/tex]-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.
Given the inequality
[tex]-2\:<\:-3[/tex]-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.
Given the inequality
[tex]-3\:<\:-6[/tex]-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex] is also incorrect.
Given the inequality
[tex]4\:>\:-3[/tex]4 can is always greater than -3, so [tex]4\:>\:-3[/tex] is also correct.
Therefore, option 'a' is correct.
5b-b-1 > or equal too-11
Answers
Answer:
-2.5
Step-by-step explanation:
5b - b - 1 ≥ -11
4b - 1 ≥ -11
+1 +1
4b ≥ -10
4/4 -10/4
b ≥ -2.5
Answer:
b ≥ [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
The expression:
5b - b - 1 ≥ -11
Now to solve this problem, we must be aware of some rules of inequality.
When dividing or multiplying with a negative value, the sign of the inequality must change;
5b - b - 1 ≥ -11
4b - 1 ≥ -11
Add + 1 to both sides;
4b -1 + 1 ≥ -11 + 1
4b ≥ -10
Now divided both sides by 4;
[tex]\frac{4b}{4}[/tex] ≥ [tex]\frac{-10}{4}[/tex]
b ≥ [tex]-\frac{5}{2}[/tex]
Which equation below represents a proportional relationship?
a. y = 5x – 9
b. y = 2x + 7
c. y = 8x
d. y = 3x – 2
Answers
Answer:
c.
Step-by-step explanation:
when an equation doesn't have a y-intercept. That means it is proportional.
a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!
Answers
Answer: small bottles
Step-by-step explanation:
124 * 7 =868 ounces
14 * 64 = 896 ounces
The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship
between the number of tickets remaining and the number of hours since 4:00 P.M.
Ticket Sales
Answers
Answer: I just took the test so the answer would be y=3,000x+12,000
Step-by-step explanation: hope this help thx for the points :D
how do i evaluate p=2l+2w if l=5 and w =3
Answers
Answer: p = 16
Step-by-step explanation:
Replace the I with 5 and the W with 3.
2(5) + 2(3) = 10 + 6 = 16
The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.
Answers
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)
sos idk how to solve this:)
Answers
Answer:
[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]
Step-by-step explanation:
[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]
1) Noah ate all of his Takis for breakfast, but he forgot that he owed Jason 16
Takis. London gave Noah 27 Takis at lunch the next day. How many Takis
will Noah have in total after he give Jason the Takis?
Answers
Answer:
noah will have 11 takis
Step-by-step explanation:
Chris bought a $568.80 tv with a 40% markup, how much does the tv cost.
Answers
Answer: the answer is $796.32
Step-by-step explanation:
13/26 = x/24 solve for x
PLEASE ANSWER
Answers
Answer:
x= 12
Step-by-step explanation:
hope this helps!!
ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?
Answers
Answer:
7.93 seconds
Step-by-step explanation:
Subtract!
59.48s - 51.55s = 7.93 seconds
Needs to be trimmed.
Answer:
7.93
Step-by-step explanation:
59.48 minus 51.55 is 7.93
A line had a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line?
A y=-2/3x+6
B y=-2/3x+8
C y=6x-2/3
D y=8c-2/3
PLS HURRY IM TIMED ON THIS
Answers
Answer:
I think B, but not sure.......
Step-by-step explanation:
I need help on this question
Answers
Answer:
A) - M
Step-by-step explanation:
i need help with my math>
Answers
Answer:D
Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D
:D
The local water slides have 100 employees, of which 30% are temporary. How many temporary employees are there?
Answers
Answer:
There are 30 temporary employees
Step-by-step explanation:
To find x% of quantity A, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ (x ÷ 100) × A
Let us use this rule to solve the question
∵ The local water slides have 100 employees
∵ 30% of them are temporary
∴ The number of temporary employees = 30% × 100
∵ 30% = 30 ÷ 100 = 0.30
∴ The number of temporary employees = 0.30 × 100
∴ The number of temporary employees = 30
∴ There are 30 temporary employees
20000×50×45×0×23×5×6+229+466+7+5+8+9+1+2+3+45+6+7+8+9+10. Hope you like question don't answer if you don't want to. Have a great day
Answers
What’s is twenty one minus eight
Answers
Answer:
13 dude
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
what is 2 + 1 = ? is it 3 or is it 3 because i dont know
Answers
Answer: 4
Step-by-step explanation:
ANSWER
3
Explanation
2+1=3
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30
Answers
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hope this helps! :)
solving 2 step equations k/9 -1=10
Answers
Answer:
99
Step-by-step explanation:
k/9=10+1
k/9*9=11*9(cancel division 9 to multiplication 9)
k=99
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?
Answers
Answer:
6 Liters
Step-by-step
4 Lemons = 3 Liters
8 Lemons = 6 Liters
So its basicly multiplying it by 2 ^O^
Answer:
X = 6
Step-by-step explanation:
number of lemons. Liters
4 ---> 3
8 ---> X
= 4:8 = 3: X
= 4 = 3
8 X
= 4X = 3×8
= X = 3 × 8
4
= X = 6 answer X=6
Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n
Answers
Answer:
The Answer is B. 2-5n
Step-by-step explanation:
Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n
Then combine like terms which are +3n and -8n which leaves you with -5n
7k-3=6k what does k equal
Answers
Answer:
k = 3/13
Step-by-step explanation:
7k-3=6k
3 = 6k + 7k
13K = 3
k = 3/13