Answer:
[tex]\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3[/tex]
Operating
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}[/tex]
Simplifying
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3[/tex]
B.)
The diameter of the sphere is 2/3 cm, thus the volume is:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3[/tex]
Operating:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}[/tex]
[tex]\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi[/tex]
[tex]\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}[/tex]
Find each missing number
Z
+ 179
496
Answer:
317
Step-by-step explanation:
496 - 179 = 317. Z = 317.
Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it altitude. How fast is the altitude of the pile increasing when the pile is 5 feet high?
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
need help with this
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
Which congruent theorem can be used to prove..
Answer:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.
Middle School A and Middle School B both planned trips to Washington D.C. using the
same rental company. Middle School A rented 6 vans and 6 buses for its 186 students.
Middle School B rented 2 vans and 4 buses to transport its 110 students. How many
students do the rental vans seat? How many students do the rental buses seat?
Answer:
each van can transport 15 students
Step-by-step explanation:
186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.
Two pools are leaking After 15 minutes pool A has leaked 2/3 gallon After 20 minutes pool B has 3/4 gallon Which pool is leaking faster
Pls fast
hope it will help you...........
Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?
Annalisa, Keiko, and Stefan want to compare their heights. Annalisa is 64 inches tall. Stefan tells her, "I'm about 7.5 centimeters taller than you." Keiko knows she is 1.5 inches shorter than Stefan. Give the heights of all three people in both inches and centimeters to the nearest half unit.
Annalisa is 64 inches or about
cm tall.
Stefan is about
inches or about
cm tall.
Keiko is about
inches or about
cm tall.
i need the in and cems of Stefan and Keiko
Answer:
okay so this is kind of confusing but
Annalisa - 64 inches, 162.56 centimeters
Stefan - 67 inches, 170.18 centimeters
Keiko - 65 inches, 165.1 centimeters
Step-by-step explanation:
Please help me I will mark you BRAINLIST
Answer:
probably 300
Step-by-step explanation:
I have no idea I'm in 6 grade sorry
Given the ABC, where A(4,3), B(2,-1), and C(-2,1). Use the slope and distance formula to classify the triangle.
It might be 2 not 100 percent sure
Answer:
isosceles (based on sides) and right triangle (based on angles)
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same distance (it is in cm.). This is also a right triangle because at point B the two lines are perpendicular (using their slopes).
What is the equation of the line that passes through the point (−2,−6) and has a slope of -3/5
Answer:
y= -3/5 x -7.2
Step-by-step explanation:
-6 = 6/5 + b
b= - 7.2
Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
12x12x12x10.4 in a ahedron
Answer:
it 17971.2 ;)
Step-by-step explanation:
i giveeeeeeeeeeee brainlilstttttttttttttttt
Oh phone company offers to monthly plans plan a cost $13 plus an additional $.14 for each minute of calls Plan B cost $18 plus an additional of $.09 for each minute of calls.
For what amount of calling do the two plans cost the same?
What is the cost when the two plans cost the same?
Answer:
For 100 minutes
Step-by-step explanation:
Step one:
given data
Oh phone company
monthly plans plan a cost $13 plus an additional $.14 for each minute of calls
let the number of minutes be x, and the total be y
y= 13+0.14x--------------------1
Plan B cost $18 plus an additional of $.09 for each minute of calls
let the number of minutes be x, and the total be y
y= 18+0.09x--------------------2
Step two:
Equate 1 and 2 above
13+0.14x=18+0.09x
collect like terms
18-13= 0.14x-0.09x
5=0.05x
divide both sides by 0.05
x=5/0.05
x=100 minutes
3 2/3 divide 1 2/7 in simplest form
Answer:
2 23/27
Step-by-step explanation:
3 2/3 / 1 2/7
= 11/3 / 1 2/7
= 11/3 / 9/7
= 77/27
= 2 23/27
Hope it helped!
what the other person said
Answer:
2 23/27
Step-by-step explanation:
3 2/3 / 1 2/7
= 11/3 / 1 2/7
= 11/3 / 9/7
= 77/27
= 2 23/27
If 1 foot of chain costs 17¢, then 4 yards of this chain would cost
A. $0.68
B. $1.53
C. $2.04
D. $2.75
Answer:
a
Step-by-step explanation:
17x4+68
Answer: C. $2.04
Step-by-step explanation: 4 yards = 12 feet. 17 x 12 = 204 cents which equals to $2.04
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = x + 3
7x - y = 3
Group of answer choices
(1 , 4)
(-1 , -4)
(-1 , 4)
(1 , -4)
Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
write an absolute value inequality for the graph below.
use x for your variable.
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
a greater number than -8
Hello, I give brainliest. Do not answer questions just to get points or you will get reported. Your answer may be incorrect but it cant be completely off. I also give thanks as well as 5 star or 1-star rating if your answer was completely incorrect.
Answer:
The answer to the question is four.
Answer:
I think the answer might be 4.
X+8=0 in standard form please show work
Step-by-step explanation:
X + 8 = 0
- 8 -8
X = -8
Answer: -8
please help me with my homework
Answer:
[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]
Step-by-step explanation:
From Euclidean Geometry, parallelograms satisfy the following properties:
1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]
2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]
3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]
By 3):
[tex]AD = 6[/tex]
By 3):
[tex]DC = 14[/tex]
By 2):
[tex]\angle A = 180^{\circ}-\angle D[/tex]
[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]
[tex]\angle A = 114^{\circ}[/tex]
By 1):
[tex]\angle B = 66^{\circ}[/tex]
By 1):
[tex]\angle C = 114^{\circ}[/tex]
Please help this is for another person who doesn’t know the answer :)
Answer:
The answer is,
[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]
Can someone please help me
Answer:
12:15
3 goes into both of these numbers so then becomes
4:5
cannot be reduced any further
answer
4:5
I will give brainiest to whoever answers correctly !!
Answer:
The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.
Step-by-step explanation:
This can be determined using the formula for calculating the future value (FV) formula as follows:
FV = PV * (1 + r)^n ................................. (1)
Where;
FV = Future value or the amount the graduate will have at end of 36 months = ?
PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850
r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778
n = number of days = 36 months * 360 days = 12,960
Substituting the values into equation (1), we have:
FV = $2,850 * (1 + 0.0000277777777777778)^12,960
FV = $2,850 * 1.43332224806396
FV = $4,084.96840698229
Approximating to the nearest cent as required, we have:
FV = $4,084.97
Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.
is a square + b square is equal to 49 is a line equation is one variable
Answer:
Yes
Step-by-step explanation:
Seven multiply seven =49
Answer:
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Solve for x
5x + 2 = 17
Answer:
r
Step-by-step explanation:
r
Answer:
Step-by-step explanation:
Here you go mate
Step 1
5x+2=17 Equation/Question
Step 2
5x+2=17 Simplify
5x+2=17
Step 3
5x+2=17 Subtract 2
5x=15
Step 4
5x=15 Divide
answer
x=3
Hope this helps
4a + 3 2y 5a 7 + 4y
Need to simplify
Answer:
it is 9a+6y+10
Step-by-step explanation:
Answer:
9a+10+6y
Step-by-step explanation:
What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept of that line?
Answer:
y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2
The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]
The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]
The slope m is calculated using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]
For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]
[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238