Answers
Answer:
m∠1=66
m∠3=66
m∠4=114
Step-by-step explanation:
m∠1+m∠2=180
m∠1+114=180
m∠1=66
m∠1=m∠3
66=m∠3
m∠4=m∠2
m∠4=114
Related Questions
Which fraction is equivalent 5/20?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
5/20
divide both sides of the fraction by 5
5/5 = 1
20/5 = 4
1/4
A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.
Answers
9514 1404 393
Answer:
8 pigs6 chickensStep-by-step explanation:
Maybe you want to know the number of each kind of animal.
__
We can write two equations in the two unknowns.
p + c = 14 . . . . . . number of animals
4p +2c = 44 . . . number of legs
Dividing the second equation by 2, it becomes ...
2p +c = 22
Then subtracting the first equation gives ...
(2p +c) -(p +c) = (22) -(14)
p = 8
8 +c = 14
c = 6
The farmhouse shelters 8 pigs and 6 chickens.
A light bulb is designed by revolving the graph of:
[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]
Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).
Answers
Answer:
[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)FactoringCalculus
Differentiation
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]Step 3: Integrate Pt. 1
Substitute [Surface Area]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property: [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]Step 4: Integrate Pt. 2
[Integral] Define: [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply: [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]Step 5: Integrate Pt. 3
[Integral] Substitute/Integral - FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply: [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]It is in ft² because it is given that our axis are in ft.
Step 6: Find Amount of Glass
Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.
Convert ft² to in²: [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply: [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]And we have our final answer! Hope this helped on your Calc BC journey!
find the total surface area for this cuboid
Answers
Answer:
24cm
Step-by-step explanation:
surface= Ixb
= 6x4
= 24cm
Answer:
148cm(squared)
Step-by-step explanation:
5 x 6 = 30
5 x 4 = 20
6 x 4 = 24
30 + 24 + 20 = 74cm
74cm x 2 = 148cm(s)
Come on help me pretty plz
Answers
Answer:
im pretty sure its pink
Step-by-step explanation:
What is the sum of the angle measures of a 35-gon ?
Answers
Answer:
The interior angles would be 5940. The exterior angles would add to 360
Step-by-step explanation:
i need help plssssssssssssss
Answers
Answer:
It doesn't show what the drop down is. However, both of those are linear expressions.
Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).
Leon's expression cancels to 12+6x (because 9+3=12)
Step-by-step explanation:
You have to show the dropdown to be able to answer exactly what they are looking for as an answer.
18 divided by 5 - (6-5)-1) pemdas
Answers
Answer:
The answer is 6
find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)
Answers
Answer:
The equation of the parallel line to the given line
y = 2 x - 16
Step-by-step explanation:
Step(i):-
Given equation of the straight line y = 2 x +10
2x - y + 10 =0
The equation of the parallel line to the given line is
a x + by + k=0
The equation of the parallel line to the given line is
2x - y + k=0
Step(ii):-
Given point ( 6,-4)
The equation of the parallel line to the given line is
2x - y + k=0
This line passing through the point ( 6,-4)
2(6) - (-4)+ k=0
12 + 4 +k =0
16 + k=0
k = -16
Final answer:-
The equation of the parallel line to the given line
y = 2 x - 16
What is the unit rate per year?
Answers
Answer:
3.6
Step-by-step explanation:
divide 36 by 10 be sure it's the easiest part
Answer:
Unit rate per year is :---
[tex] \frac{(50.4 - 7.2)}{(14 - 2)} = \frac{43.2}{12} = \boxed{3.6 \: feet \: per \: year} \\[/tex]
3.6 feet per year is the right answer.what is the inequality of 2.2m < 11
Answers
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
Solve: m = 5 – (-10).
GIVING BRAINLIST to people who is correct!
Answers
Answer:
15
Step-by-step explanation:
Which of the following equations is equivalent to 2/3a - 7 = 1/3
Answers
Answer:
a = 11
Step-by-step explanation:
Given the equation 2/3a - 7 = 1/3
We are to find the value of a that satisfies the equation
2/3 a = 1/3 + 7
2/3 a = (1+21)/3
2/3 a = 22/3
2a = 22
a = 22/2
a = 11
Hence the value of a that satisfies the equation is 11
PLEASE DUE IN 20 MINUTES!!!!!!
Write the quadratic function in standard form.
f(x) = (x + 14)2
Answers
Answer:
Step-by-step explanation:
It's essential that you use the symbol " ^ " to indicate exponentiation.
Expanding f(x) = (x + 14)^2 results in x^2 + 28x + 196 (which is in standard form)
Solve for x.
6
х
12
15
X=
units
Answers
Answer:
x = 4
Step-by-step explanation:
If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )
4(x - 1) = 12 ( divide both sides by 4 )
x - 1 = 3 ( add 1 to both sides )
x = 4
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answers
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
34=16+x helpppppp please due in 30 minutes
Answers
Answer:
34-16=18
so x = 18
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x
Solve for c.
-5/8c = 20
A. c = -34
B. c = -32
C. c = 26
D. c = 28
Answers
Answer:
b
Step-by-step explanation:
solve for c by simplifying both sides of the equation then isolate the variable
16 can be written as:
O
A. 22
B. 44
c. 24
D. 82
E. 28
Answers
Answer:
2^4
Step-by-step explanation:
2^2 = 2 * 2 = 4
4^4 = 4*4*4*4 = 256
2^4 = 4*4 = 16
8^2 = 8*8 = 64
2^8 = 2*2*2*2*2*2*2*2 = 256
Hence, 16 can be written as 2^4
Thus, Answer is [C] 2^4
[RevyBreeze]
Please help which one isnt a function pleasee
Answers
Answer:
the answer is B
Step-by-step explanation:
B is not a function it is a chart
(goin off off what i was told in middle school)
I need help plz
.........
.......
.......
Answers
Answer:
v=-60
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
3v/4 + 3 =7v/10
3v/4 + 3-3 =7v/10-3
3v/4= 7v/10 - 3
divideee (lol I don't wanna do the work)
v= --60
Hope this helps!
are there any maths genius here can help?
Answers
Answer:
1 》let equal side be X and other side y
now, length of y= 2x sin teta/2
=12.3×sin42/2
=12.3 × sin21
=4.407
1. What is 8 turbo jets raised to the power of 4?*
Answers
Answer:
4096
Step-by-step explanation:
Hey there!!!!
8 raised to the power of 4 = [tex]8^{4}[/tex]
[tex]8^{4}[/tex] = 8*8*8*8
if we multiply:
8*8=16
16*8= 128
128*8 = 4096
hope this helps :)
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
Answers
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
How much is 2000mg in grams?
Answers
Answer:
2 grams
Step-by-step explanation:
mZ1 = _º
140
160
80
what is M
Answers
Answer:
80
Step-by-step explanation:
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answers
Answer:
120 is too steep, so it is either 150 or 160. According to an online protractor, it appears to be 150 degrees.
Step-by-step explanation:
Simplify the following expression: 9x+ 8y + 3x + 2y the *
Answers
Answer: 12x + 10y
Step-by-step explanation:
A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c.
Answers
Answer:
y=20x+217
Step-by-step explanation:
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answers
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
