Answer:
The answer is "[tex](\frac{\pi}{2})[/tex]".
Step-by-step explanation:
[tex]z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)[/tex]
Let add equation 1 and 2:
Using formula: [tex]x^2+y^2=1 \\\\[/tex]
convert to polar coordinates
[tex]r=2[/tex]
[tex]\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\[/tex]
[tex]=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\[/tex]
Which of the following statements about EF and EG is true A. EF is 7 units long B. EF and EG are the same length C. EG is longer than EF D. EF is longer than EG
Answer:
D. EF is longer than EG.
Step-by-step explanation:
I took the quiz
help please!!!!!!!!!!!!
Answer:
Q1)
GIVEN :-
Diameter = 9m ⇒ Radius (r) = 9/2 = 4.5mSlant height (l) = 13mTO FIND :-
Surface area of the whole figure.FORMULAES TO KNOW BEFORE SOLVING :-
Curved surface area of cone = [tex]\pi rl[/tex] (where r = radius & l = slant height)Curved surface area of hemisphere = [tex]2\pi r^2[/tex] (where r = radius)PROCEDURE :-
In the figure , the cone is mounted on a hemisphere.
⇒ Radius of cone = Radius of hemisphere = 4.5m
Total surface area of the figure = Curved surface area of both cone & hemisphere.
⇒
Curved surface area of cone = [tex]\pi rl = 3.14 \times 4.5 \times 13 = 183.69m^2[/tex] ≈ 183.7m²Curved surface area of hemisphere = [tex]2\pi r^2 = 2 \times 3.14 \times (4.5)^2 = 127.17m^2[/tex] ≈ 127.1m²∴ Total surface area = 183.7 + 127.1 = 310.8m²
Q2)
GIVEN :-
Radius (r) = 3kmTO FIND :-
Volume of hemisphereSurface area of hemisphereFORMULAES TO KNOW BEFORE SOLVING :-
Volume of hemisphere = [tex]\frac{2}{3} \pi r^3[/tex] (where r = radius)Surface area of hemisphere = [tex]2\pi r^2[/tex] (where r = radius)PROCEDURE :-
Volume of hemisphere = [tex]\frac{2}{3} \pi r^3 = \frac{2}{3} \times 3.14 \times (3)^3 = 56.52km^3[/tex] ≈ 56.5km³
Surface area of hemisphere = [tex]2\pi r^2 = 2 \times 3.14 \times (3)^2 = 56.52km^2[/tex] ≈ 56.5km²
Find the median, mean, and range.
68, 82, 43, 39, 83
Answer:
mean is 63 median is 68 and range is 44
A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determine the number of minutes, m, of calls made if the bill for one month is $30.
Answer:
y = 0.20m + 10, 100 minutes
Step-by-step explanation:
Equation: y = mx + b
Fill it in.
m = slope = 0.20
b = y-intercept = 10
y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)
y = 0.20m + 10
Fill in.
30 = 0.20m + 10
Solve.
20 = 0.20m
100 = m
She was on the phone for 100 minutes.
pls help and i will reward brainliest
Answer:
$10
Step-by-step explanation:
Step-by-step explanation:
I think it is 20 to represent 2000 and and 10 to represent 1999 can you see that they are marching in an order 10 20 30 40 50 60 but if I'm wrong please tell me this is just a cooked method I think it is $20 hope it helps.
Find the measure of the
indicated angle
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
Let v= (-5,-2) and w= (-10,4) which of the following is true?
CHOOSE ALL THE ANSWERS THAT APPLY.
which of the following fossils are trace fossils?
shell
footprint
tooth
bone
amber
PLZ HELP!! GIVING OUT 15 POINTS AND BRAINLIEST!!
Answer:
The answers are shell tooth bone
Step-by-step explanation:
Answer:
footprint, shell,
Step-by-step explanation:
trace fossils are non physical fossils. since shells are imprints instead of actual shell fossils, shell and footprint is the correct answer
What is the answer to this. Correct answer will get brainliest.
I'll give brainliest answer plzz help me
Answer:
Maybe the 20-x/20 part is wrong. Maybe it's 10-x/10?
Step-by-step explanation:
I'm sorry I dont really know so I hope this helps you!
Alyssa emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes ( d) and nickels ( n) that totaled $11.65. One of the constraints that would be used to determine how many dimes and how many nickels Alyssa had in her change jar is n+d=147 and the other is ___n + ___d = 11.65.
How many faces, vertices, and edges does a right rectangular pyramid have? 4 faces, 5 vertices, and 7 edges 5 faces, 5 vertices, and 8 edges 5 faces, 8 vertices, and 11 edges 6 faces, 8 vertices, and 12 edges
Answer:
Rectangular pyramid : Faces, Vertices, Edges = 5 , 5 , 8 respectively
Step-by-step explanation:
Rectangular pyramid is a 3D shape, with base as rectangle & triangle face corresponding to each side of base (on the top)
Faces = 5 { 1 rectangular base face , 4 triangular faces above}
Vertices = 5 { 4 vertices of rectangle, 1 vertice on top - where triangles' tips intersect}
Edges = 8 {4 edges of rectangle at base , 4 edges of triangles above}
Answer:
b. 5, 5, 8
Step-by-step explanation:
i did the assignment and this was the correct answer <3
Juan mesura 1,75m y proyecta , en un momento dado , una sombra de 1,4m . Calcula la sombra que proyecta en este instante una farola de 4m de altura
Answer:
5m
Step-by-step explanation:
Calculamos usando la fórmula de la proporción
Sombra / Altura
Deje que la altura de la luz de la calle = x
1,4 m / 1,75 m = 4 m / x
Multiplicar cruzada
1,4 × x = 1,75 × 4
Dividir ambos lados por 1.4
x = 1,75 × 4 / 1,4
x = 5
Por lo tanto, la altura de la farola es de 5 m.
Help please! Thanks!!!
To get this answer, we'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(35) = b/c
cos(35) = b/280
280*cos(35) = b
b = 280*cos(35)
b = 229.362572400918
b = 229
When you use your calculator, make sure it's in degree mode.
Add ( √3 + 6√7 ) and (2√3 - 5√7 )
Answer:
3√3 + 1√7
Step-by-step explanation:
Answer:
7.84 or 3√3+√7
Step-by-step explanation:
Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions
Answer:
C
Step-by-step explanation:
A. [tex]\frac{20-5}{(-2)-(-1)} = \frac{15}{-1} = -15[/tex]
[tex]\frac{5-0}{(-1)-0} = \frac{-5}{1} = -5[/tex]
NOT LINEAR
B. [tex]\frac{(-6)-1}{(-2)-(-1)} = \frac{-7}{-1} = 7[/tex]
[tex]\frac{1-2}{(-1)-0} = \frac{-1}{-1} = 1[/tex]
NOT LINEAR
C. [tex]\frac{9.4-6.2}{(-2)-(-1)} = \frac{3.2}{1} = -3.2[/tex]
[tex]\frac{6.2-3}{(-1)-0} = \frac{3.2}{-1} = -3.2[/tex]
[tex]\frac{3-(-0.2)}{0-1} = \frac{3.2}{-1} = -3.2[/tex]
LINEAR
Which equation can be used to solve for x in the following diagram?
Answer:
D
Step-by-step explanation:
The two angles are equal to 180 degrees
Simple algebra 1, one question about linear functions
Answer:
B
Step-by-step explanation:
I'm pretty sure it's because it tells you the rate of each year it depreciates. Let me know if it's right or wrong.
PLZZ HELP ASAP TYSM REALLY APPERCIATE IT
Answer:
a = 40
Step-by-step explanation:
This is a complementary angle so it will add up to 90 degrees 90 - 50 = 40 so 40 is the missing angle hope this helps you!
Joseph's workshop is 12 feet by 7 feet. If the drawing of the workshop has a scale of 1inch = 2 feet, what are the dimensions of the drawing? (enter your answer with a comma separating the two numbers)
Answer:
6, 3.5.
Step-by-step explanation:
Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.
James walked 15 blocks. she stopped at the store 3/5 of the way into her walk. how many blocks did she walk to the store?
Answer:
9 blocksStep-by-step explanation:
3/5 of the way = distance to the store3/5*15 = 9 blocksShe walked 9 blocks to the store
Answer:
9 blocks
Step-by-step explanation:
Someone please help
Please
Please
Please
Answer:
need more information
Step-by-step explanation:
all you told us is what's happening in this picture. that's why you cant get help.
RuiFeng is twice as old as Raj and Khairul is 7 years younger than RuiFeng. If the sum of their ages is 38 years, find their respective ages?
Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs
Step-by-step explanation:
A football is thrown into the air. The height, h(t), of the ball, in metres, after t seconds is modelled by h(t) 4.9(t1.25)29.
1.How high off the ground was the ball when it was thrown?
2.What was the maximum height of the football?
3.How high was the ball at 2.5s?
4.Is the football in the air after 6s?
5.When does the ball hit the ground?
Answer: how high off the ground was the ball when it was thrown
Step-by-step explanation:
Brittney has 2 and 3/4 yards of fabric. She wants to make wreaths that require 1/8 yards. What is the maximum number of wreaths she can make?
Answer: 22
Step-by-step explanation:
Given
Brittney has 2 and [tex]\frac{3}{4}[/tex] yards of fabric
Converting it to a fraction
[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{8+3}{4}\\\\\Rightarrow \dfrac{11}{4}[/tex]
Wreath require [tex]\frac{1}{8}[/tex] yards
Number of wreaths that can be made
[tex]\Rightarrow n=\dfrac{\frac{11}{4}}{\frac{1}{8}}\\\\\Rightarrow n=\dfrac{11}{4}\times \dfrac{8}{1}\\\\\Rightarrow n=22[/tex]
She can make 22 wreaths
How fast can my mom run if its 12:00 in the morning
Angle Relationship Equations ... pose help I don’t do this but my friend has to so help
3)
26 + ( 3x + 1 ) = 180
27 + 3x = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51
___________________
4)
( 4x + 1 ) + ( 3x + 4 ) = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/5
x = 25
Answer:
3) [tex]x=51[/tex]
4)[tex]x=25[/tex]
Step-by-step explanation:
[tex]3) ~ 3x+1+26=180\\ \\ ~ (linear ~pair)[/tex]
[tex]3x+27=180\\~ ~ -27 ~ ~-27[/tex]
[tex]subtract ~ -27 ~ from ~ both ~ sides[/tex]
[tex]\frac{3x}{3} =\frac{153}{3}[/tex]
[tex]x=51[/tex]
--------------------------
[tex]4)~ 4x+1+4+3x=180[/tex]
[tex]7x=180-5[/tex]
[tex]x=\frac{175}{7}[/tex]
[tex]x=25[/tex]
----------------------------
hope it helps...
have a great day!!
A cone has radius 3 and height 4. Your classmate calculates its surface area as shown:
Explain your classmate's error.
S. A. = pi(5)^2 + pi(3)^2 = 25pi + 9pi = 3pi
Answer:
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = 47.1 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of cone = 3 unit
Height of cone = 4 unit
Find:
Lateral surface area of cone
Computation:
Slant height of cone = √Radius² + Height²
Slant height of cone = √3² + 4²
Slant height of cone = √9 + 16
Slant height of cone = √25
Slant height of cone = 5 unit
Lateral surface area of cone = πrl
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = (3.14)(15)
Lateral surface area of cone = 47.1 unit² (Approx.)
5x-3=19? Answer for Brainliest
Answer:
x = 4.4
Step-by-step explanation:
I'm going to assume you want to solve for x so here we go.
You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.
First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.
Your equation is now 5x=22.
Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4
Therefore, x = 4.4
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!! DO 9 AND 10!!!