Answers
Answer:
False
Step-by-step explanation:
If angle 2 and angle 5 are equal in length, then what we have is that the two lines are not parallel
For the two lines to be parallel, these two angles should be supplementary
what this mean is that these two angles should add up to give 180 degrees
Related Questions
The lines below are parallel.if the slope of the green line is -2, what is the slope of the red line?
Answers
Answer:
-2
Step-by-step explanation:
If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.
help help help help help
Answers
Answer:
soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.
Michelle decides to ride her bike one day. First she rides her bike due south for 12 miles, then the direction of the bike trail changes and she rides in the new direction for a while longer. When she stops, Michelle is 2 miles south and 10 miles west from her starting point. Find the total distance that Michelle covered from her starting point.
Answers
Answer:
Total Distance Michelle Covered is 26.14 miles
Step-by-step explanation:
According To the Question, We Have
Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.
(For Diagram, Please Find in attachment)
In Triangle ABC , Apply Phythagorus Theorem
AB² = BC² + AC²
AB² = 10² + 10²
AB² = 200
AB = √2×10 ⇔ 14.14 miles
Now The Total Distance Travelled by Michelle Would be
OA + AB = 26.14 miles
Solve: -8.8 > 2.3
I don't understand this- can someone help?
Answers
Well you can't really solve it but it's false.
It's should be -8.8 < 2.3
> means "is greater than"
< means "is less than"
Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.
Answers
Answer:
b.
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
(c)
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
Step-by-step explanation:
b. The volume of solid formed is given by the washers formula as follows;
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;
[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]
(c) We have;
x = arcos(y - 2), x = arcsin(1/y)
At x = 0, y = 2 + cos(0) = 3
csc(0) = ∞
At x = π, y = 2 + cos(π) = 2 + -1 = 1
csc(π) = ∞
Therefore, we get;
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
How to find the integral volume of solid?
B) The volume of solid formed is gotten from applying the washers formula;
[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]
This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) From answer above, we have;
x = cos⁻¹(y - 2), x = sin⁻¹(1/y)
Now,
At x = 0; y = 2 + cos(0) = 3
csc(0) = 1/0 = ∞
Also,
At x = π; y = 2 + cos(π)
y = 2 + (-1)
y = 1
Also, csc(π) = ∞
Thus, we have;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
Read more about finding the integral volume of solid at; https://brainly.com/question/21036176
find the product (9x+9)(x+2)
Answers
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
please help! urgently
Answers
Answer:
sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]
Step-by-step explanation:
We require to find the side DE before finding sinC
Using Pythagoras' identity in the right triangle
DE² + CE² = CD²
DE² + 5² = ([tex]\sqrt{41}[/tex] )²
DE² + 25 = 41 ( subtract 25 from both sides )
DE² = 16 ( take the square root of both sides )
DE = [tex]\sqrt{16}[/tex] = 4 , then
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator
sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]
PLEASE HELP ASAP!!!!!!!
Is the function ƒ(x) = (9/10)^x an exponential function? If so, identify the base. If not, why not?
Answers
Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.
Step-by-step explanation:
A hose fills a small swimming pool at a rate of 15 cubic feet per 60 seconds. Which equation can be used
to find the amount of cubic feet, y, in x seconds?
Answers
Answer:
y = 1/4x
Step-by-step explanation:
y = amount of cubic feet = 15 cubic feet
x = time taken = 60 seconds
y = kx
Where,
k = constant of proportionality
y = kx
15 = k * 60
k = 15/60
k = 1/4
The equation
y = kx
Where
k = 1/4
Becomes,
y = 1/4x
18. Given that g(x) = -(x^2)/4, what is the value of g(+8) ?
F. -16
G. 4
H. -1
J. 4
K. 16
Answers
Answer:
F. -16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]
Step 2: Evaluate
Substitute in x [Function g(x)]: [tex]\displaystyle g(-8) = -\frac{(-8)^2}{4}[/tex]Exponents: [tex]\displaystyle g(-8) = -\frac{64}{4}[/tex]Divide: [tex]\displaystyle g(-8) = -16[/tex]On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?
Answers
Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
(1) { 4,7,10,13,16} (3) {8,9,10,11,12}
(2) {8,9,10,18,19} (4) {1,2,10,11, 12}
Please give me the answer(the method used for this problem) and an explanation.
Answers
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Answers
Step-by-step explanation:
everything can be found in the picture
3y - 5 (2x + 3) - 12
Answers
hope this helps :)
Answer:
The answer is 3y - 10x - 27
Parallel maze puzzle
Answers
Answers:
d) verticalc) alternate interiorf) supplementarye) alternate exteriorg) correspondinge) alternate exteriorf) supplementaryc) alternate interiore) alternate exteriorLetters 'a', b, and h are never used.
Letters c and f show up twice each; e shows up 3 times.
=====================================================
Explanations:
Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time. Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.It's the same idea as problem 4Same idea as problem 3.Same idea as problem 2.Same idea as problems 4 and 6.---------------
None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.
We cross off option b as well because none of the angles add up to 90 degrees.
prove that: sin8A/1-cos8A=cot4A
Answers
Step-by-step explanation:
Recall the identity
[tex]\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}[/tex]
We can see that
[tex]\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A[/tex]
Can someone please figure this out thank you
Answers
Using the tangent ratio below:
[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]
Therefore, the tangent ratio for a right triangle is:
[tex] \large{tanA = \frac{8}{12} }[/tex]
For this part, use the arctan to find the measure of A.
[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]
Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.
Answer
A = 33.7 degreesFurthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.
Let me know if you have any doubts regarding the trigonometric ratio.
4: 2 cups of sugar is used to make enough lemonade for 6 people. How much sugar is needed to make enough lemonade for 18 people?
Question #6: 12 cans of soup cost $20. What is the cost for 30 cans? *
Question #7: It takes 30 minutes for an author to type 4,500 words. How many words can she type in 3 hours?
Question #8: A concession stand made $45 from the sale of 15 cheeseburgers. If 100 cheeseburgers are sold, how much do they make? *
Answers
Answer:
4. 6 cups
6. 50 dollars
7. 27000 words
8. 300 dollars
Step-by-step explanation:
4.
2 cups x cups
-------------- = -----------
6 people 18 people
Using cross products
2 * 18 = 6x
Divide by 6
36/6 =6x/6
6 =x
6.
12 cans 30 cans
-------------- = -----------
20 dollars x dollars
Using cross products
12x = 20*30
12x = 600
Divide by 12
12x/12 =600/12
x = 50
7.
3 hours = 3*60 minutes/hour = 180 minutes
30 minutes 180 minutes
-------------- = -----------
4500 words x words
Using cross products
30x = 4500*180
Divide by 30
x = 4500*180/30
x=27000
8.
45 dollars x dollars
-------------- = -----------
15 burgers 100 burgers
Using cross products
45*100 = 15x
Divide by 15
45*100/15 = x
300 =x
Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?
Answers
Answer:
[tex]-6 < k < 2[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 2x[/tex]
[tex]y =kx -4[/tex]
Required
Possible values of k
The general quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Subtract [tex]y = x^2 - 2x[/tex] and [tex]y =kx -4[/tex]
[tex]y - y = x^2 - 2x - kx +4[/tex]
[tex]0 = x^2 - 2x - kx +4[/tex]
Factorize:
[tex]0 = x^2 +x(-2 - k) +4[/tex]
Rewrite as:
[tex]x^2 +x(-2 - k) +4=0[/tex]
Compare the above equation to: [tex]ax^2 + bx + c = 0[/tex]
[tex]a = 1[/tex]
[tex]b= -2-k[/tex]
[tex]c =4[/tex]
For the equation to have two distinct solution, the following must be true:
[tex]b^2 - 4ac > 0[/tex]
So, we have:
[tex](-2-k)^2 -4*1*4>0[/tex]
[tex](-2-k)^2 -16>0[/tex]
Expand
[tex]4 +4k+k^2-16>0[/tex]
Rewrite as:
[tex]k^2 + 4k - 16 + 4 >0[/tex]
[tex]k^2 + 4k - 12 >0[/tex]
Expand
[tex]k^2 + 6k-2k - 12 >0[/tex]
Factorize
[tex]k(k + 6)-2(k + 6) >0[/tex]
Factor out k + 6
[tex](k -2)(k + 6) >0[/tex]
Split:
[tex]k -2 > 0[/tex] or [tex]k + 6> 0[/tex]
So:
[tex]k > 2[/tex] or k [tex]> -6[/tex]
To make the above inequality true, we set:
[tex]k < 2[/tex] or [tex]k >-6[/tex]
So, the set of values of k is:
[tex]-6 < k < 2[/tex]
whats the factor:81x3-3000
Answers
aikskdjjsiwwjjjwjwkkwkwkwkwkwkwkwkwkw
Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
?
A sprinter travels a distance of 100 m in a time of 9.67 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answers
Answer:
average speed of sprinter will be 10.42m/s
Step-by-step explanation:
distance covered=s=100m
time taken=t=9.67m/s
average speed=10.42m/s
Complete the expanded form of this number.
6,738
Enter numbers from greatest to least place value starting on the left.
Answers
6,000 + 700 + 30 + 8 is the expanded from.
what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?
Answers
Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
7.5 as an improper fraction in its simplest form
Answers
Answer:
7.5 as an improper fraction in its simplest form would be 15/2
I'll give brainliest!
Answers
Step-by-step explanation:
Answer:
D. 4 And 8
#Carryonlearning
Answer:
B
Step-by-step explanation:
help please asap just the answers
Answers
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answers
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
someone PLSSSS HELPPP !! fast pls please
Answers
Answer:
A. i think
Step-by-step explanation:
Answer:
4, -16, 64, -256
the common ratio is -4
Step-by-step explanation:
write tge following numbers expanded forms.
23900068407
Answers
Answer:
Step-by-step explanation:
20000000000+3000000000+900000000+60000+8000+400+7
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
Answers
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
