Answer:
The exact area of the surface obtained by rotating the curve about the y -axis=[tex]\frac{2\pi a^2}{7}[/tex]
Step-by-step explanation:
We are given that the curve
[tex]x=\sqrt{a^2-y^2},0\leq y\leq a/7[/tex]
We have to find the exact area of the surface obtained by rotating the curve about the y -axis.
We know that
Area of the surface obtained by rotating the curve about the y -axis is given by
A=[tex]2\pi\int_{a}^{b}g(y)\sqrt{1+(g'(y))^2}dy[/tex]
We have [tex]g(y)=\sqrt{a^2-y^2}[/tex]
[tex]g'(y)=-\frac{y}{\sqrt{a^2-y^2}}[/tex]
Using the values
a=0,b=a/7
Area of the surface obtained by rotating the curve about the y -axis is given by
A=[tex]2\pi \int_{0}^{a/7}\sqrt{a^2-y^2}\sqrt{1+\frac{y^2}{a^2-y^2}}dy[/tex]
=[tex]2\pi \int_{0}^{a/7}\sqrt{a^2-y^2}\sqrt{\frac{a^2-y^2+y^2}{a^2-y^2}}dy[/tex]
=[tex]2\pi \int_{0}^{a/7}\sqrt{a^2-y^2}\times \frac{a}{\sqrt{a^2-y^2}}dy[/tex]
=[tex]2\pi a \int_{0}^{a/7} dy[/tex]
=[tex]2\pi a[y]^{a/7}_{0}[/tex]
A=[tex]\frac{2\pi a^2}{7}[/tex]
Hence, the area of the surface obtained by rotating the curve about the y -axis is given by
A=[tex]\frac{2\pi a^2}{7}[/tex]
How to solve and answer for the question
5
Step-by-step explanation:
AB=CD (Opposite sides of a parallelogram are equal)
11x-13=42
11x=42+13
11x=55
x=55/11
x=5
What’s the value of X please someone I’ll give brainyliest
Answer:
137
Step-by-step explanation:
Sum of opposite angles in a quadrilateral embedded in a circle = 180
43+x=180
x=180-43
x=137
Monica has a triangular piece of fabric. The height of the triangle is 27 inches and the triangle's base is 18 inches. Monica says that the area of the fabric is 486 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric.
Monica forgot to multiply by___
The area of the fabric is ____ in.2
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Calculate the value of this investment at the end of the 5 years,
Answer:
The investment after 5 years is $ 662.45.
Step-by-step explanation:
Principal, P = $ 600
Time, t = 5 years
Rate of interest, R = 2 %
Time , t = 5 years
The amount after the time 5 years is
[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]
So, the investment after 5 years is $ 662.45.
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
Answer:
54 and 30
Step-by-step explanation:
84÷2=42-12=30
42+12=54
Find the value of k if (p+2) is a factor of the polynomial 2p^3– p^2+ 12 - k.
what is 5+5 = so answer would be 10 because when you add then it 10
Solve when p=9 6p(3p - 2) *
36450
Step-by-step explanation:
6(9)(3(9) -2)
54(27-2)
1458(25)
36450
Answer:
1350
Step-by-step explanation:
p = 9
6p ( 3p - 2 ). 6 ( 9 ) ( 3 ( 9 ) - 2). .. ( p = 9 :- given)54 ( 27 - 2)54 × 251350Is this answer correct? If not, which one is correct?
Answer:
correct
Step-by-step explanation:
Please help me no links
Answer:
c
Step-by-step explanation:
The graph starts at 100 and decreases as it goes the following situations that were listed should be somewhat implying that something is decreasing. Since a and b are GAINING something then it can't be that because it is increasing, so we are left with choice c.
hope this helps!
Help me please need a answer
Answer:
2x+30=x+80 (corresponding angles)
2x-x=80-30
x=50
(x+iy)^4 -(x+iy)^2 +16=0
Answer:
below
Step-by-step explanation:
that is the procedure above
The lines below are perpendicular. If the slope of the green line is -1/6, what is the slope of the red line?
Answer:
slope of red line=6
Step-by-step explanation:
Hi there!
We're given a set of perpendicular lines and the slope of the green line being -1/6
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
So to find the slope of the red line, we can use this formula (m is the slope):
-1/6m=-1
Multiply both sides by -6 (clears the fraction to get 1m on the left)
m=6
So the slope of the red line is 6
Hope this helps!
Ella stacks two boards under a table to make it level. One board is į inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
5
12
the two boards?
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
Convert the given base ten numeral into a numeral in base two.
9514 1404 393
Answer:
101000₂
Step-by-step explanation:
The usual place-value rules apply. Bit positions have values that increase by a factor of 2 as you go leftward from the units bit.
40 = 32 + 8 = 2⁵ +2³ = 101000₂
_____
The usual conversion algorithm has you repeatedly divide the number by 2. The remainder at each step is the binary digit (bit) next to the left. The first remainder is the units bit.
40/2 = 20r0
20/2 = 10r0
10/2 = 5r0
5/2= 2r1
2/2 = 1r0
1/2 = 0r1
The bits left to right are the remainders from the bottom up: 101000.
__
Additional comment
Along the same lines, a fraction can be converted to a binary fraction by repeatedly multiplying by 2. If the result is 1+(something), the fraction bit is 1. Otherwise it is 0. The next step repeats with the fractional part of that result. This develops the fraction bits left to right.
Example:
1/16 × 2 = 1/8 + 0
1/8 × 2 = 1/4 + 0
1/4 × 2 = 1/2 + 0
1/2 × 2 = 0 +1
The binary equivalent of 1/16 is 0.0001₂.
__
Fractions that do not have denominators that are a power of 2 will be repeating binary fractions. Of course, irrational numbers will have non-repeating binary fractions.
Find the are of shape?
Answer:
240 ft²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle.
The area of the shape = area of the triangle + area of the rectangle
= ½*bh + L*W
Where,
b = base of triangle = 24 ft
h = height of triangle = 12 - 8 = 4 ft
L = length of rectangle = 24 ft
W = width of rectangle = 8 ft
Plug in the values into the equation
Area of the shape = ½*24*4 + 24*8
= 48 + 192
= 240 ft²
Please guys answer me fast
Answer:
24 possible combinations in total,
just 3 that apply
{B,2},{B,4},{B,6}
one easy way to write the possibility is just
3/24 = 1/8 = 12.5%
whatz is avagadro no.
CAN SOMEONE PLEASE HELP OR EXPLAIN HOW TO DO IT ... 6. If ABC-ADEF and the scale factor
from ABC TO A DEF is , what is the
length
of ED?
Answer:
5
Step-by-step explanation:
One is given that the scale factor to get from triangle (ABC) to triangle (DEF) is ([tex]\frac{1}{2}[/tex]). This essentially means that one has to multiply the sides of (ABC) by ([tex]\frac{1}{2}[/tex]) to get the corresponding side in the triangle (DEF).
As one can see, side (AB) corresponds to side (DE), therefore, multiply the length of (AB) by ([tex]\frac{1}{2}[/tex]) to get the side of (DE).
AB * [tex]\frac{1}{2}[/tex] = DE
Substitute,
[tex]10*\frac{1}{2}=DE[/tex]
Simplify,
[tex]5=DE[/tex]
([tex]ED[/tex]) is another way of naming segment ([tex]DE[/tex]) this is explicitly clear from the diagram of the tirnagles.
(Functions and Relations) Answer getting brainliest!
Explain if you can ^^
Answer:
C
Step-by-step explanation:
Have a nice day :)
when you can plz give me brainllest
5 bricks weigh 26 1/4 how much do 1 brick weigh
Answer:
5 1/4
Step-by-step explanation:
5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4
If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
Can I get the answer for 3 4 5 6
3) x=190, <BOC=85
4) x=177, <TOU=31
5) x=61, <LOM=110
6) x=55, <DOE=117
Please help me I need help no links please
For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?
A computer professor is interested in studying the amount of time it would take students enrolled in the Introduction to Computers course to write and run a program in Matlab. The professor hires you to analyze the following results in minutes from a random sample of 9 students:
10 12 8 16 12 13 10 11 15
Required:
At the 0.05 level of significance, is there evidence that the population average time is greater than 10 minutes?
Answer:
Following are the solution to the given question:
Step-by-step explanation:
In this question, firstly we calculating the [tex]\bar{x} \ \ and \ \ s[/tex]
[tex]\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\[/tex]
[tex]H_0 : u \leq 10\\\\ H_1 : u > 10[/tex]
It is an upper test and testing the statistics:
[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\[/tex]
So, the test statistics [tex]t=2.25[/tex]
[tex]\alpha=0.05 \\\\ d.f = n-1\\\\[/tex]
[tex]=9-1\\\\=8[/tex]
critical value =2.306 ( using t-table ) [tex]critical\ value >\ test\ statistics , \ Fail\ to\ Reject\ H_0[/tex]
Decision: We should not reject the null hypothesis.
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
Graph the Image of ARST after a translation 3 units right and 9 units up.
A: A
B: B
C: C
D: D
Show work!
Answer: A
Step-by-step explanation:
Area of a triangle is base times height
We have a base made by point m and n with a length of 6
now the third point has to form a height which when put with the base, gets you 18
area of triangle is bh/2
so lets set height as h, 6x/2 = 18 6x = 36 x = 6
This means the point has to be 6 apart either left or right. Only point that matches this is a.
Graph the image of the figure using the transformation given.
reflection across y=-1
Answer:
I'm not graphing, but I can describe the reflection as R', S', T', U':
R' = (-3, 1)
S' = (-2, 0)
T' = (-1, 2)
U' = (-2, 2)
Step-by-step explanation:
y = -1 is the line one unit below the x axis (the x axis is y=0).
To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)
R = (-3, -3), R' = (-3, -2+3) = (-3, 1)
S = (-2, -2), S' = (-2, -2+2) = (-2, 0)
T = (-1, -4), T' = (-1, -2+4) = (-1, 2)
U = (-2, -4), U' = (-2, -2+4) = (-2, 2)
I need help... This is annoying
Plzzzz
Answer:
the required height is 6.7m.
Answer:
The height requirement is 6.7m.
explanation:
Hope it helps have a great day :)
