the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.
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I hope this helps ;)
Related Questions
In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?
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Answer:
The correct option is;
[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])
Given that ,
The first object is moving around the screen r = 4 cos(0)
The second object is moving around the screen r = -1 + 2cos(0)
We have to find ,
The coordinates represent a possible collision point of the objects.
According to the question,
Coordinate represent collision points to object ,
Equating both equations ;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -[tex]\frac{1}{2}[/tex]
θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°
[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]
Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]
We have;
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2
And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =
r = -2
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])
r = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .
For the more information about Motion of Equation line click the link given below.
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Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
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Answer:
1/3
Step-by-step explanation:
20/60 simplified is 1/3
20 for the red light
60 all of them added
can some one please help me im confused on this im really stuck :(
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Because moving 5 units up from -9 , you will end up at -4 ( 4 units below sea level)
If two lines are perpendicular to each other, do they lie in the same plane?
Answers
2.5(a + 4) + 0.5a = 12.4
Answers
Answer:
a=0.8
Step-by-step explanation:
First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.
Hope this helps you :)
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
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45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9
A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.
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Answer:
(2x+3)+(x-1)+(3x-5)
Step-by-step explanation:
add all your expressions & Ect together .
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answers
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?
Answers
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , thus
y = x + c ← is the partial equation
To find c substitute (1, 0) into the partial equation
0 = 1 + c ⇒ c = 0 - 1 = - 1
y = x - 1 ← equation of line
What is the value of a3 in the sequence?
5, 10, 20, 40, 80...
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Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8
Answers
Answer:
2.05 and 14.61
Step-by-step explanation:
On Edg
The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call
Answers
*** he took five minutes talking on the phone***
Y=2x+6
3y-x+3=0
Substitute to solve
Brainliest for correct answer
Answers
Answer:
-21/5 or -4.2
Step-by-step explanation:
y = 2x + 6
3y - x + 3 = 0
Substitute the value for y from the first equation into the second equation. Solve for x.
3y - x + 3 = 0
3(2x + 6) - x + 3= 0
6x + 18 - x + 3 = 0
5x + 18 + 3 = 0
5x + 21 = 0
5x + 21 - 21 = 0 - 21
5x = -21
x = -21/5 or -4.2
You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7
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You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
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Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
This is the problem that I need help with please. :)
Answers
Answer:
umm I think it 186
Step-by-step explanation:
Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property
Answers
Answer:
Division property
Step-by-step explanation:
you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer
-3x=348
-3= -3
x=-116
The Daytona 500 is 500 miles long. How long is the race in kilometers? (Use the school conversion sheet)
Answers
Answer:
804.672 km
Step-by-step explanation:
Answer:
It's 804.672 long in kilometers. If needed to be round then about 805 kilometers.
Step-by-step explanation:
You know that:
1 mile = 1.609344 km
So you'll do
500 * 1.609344 = 804.672 km
Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.
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The perimeter of the given figure is 44.28 units.
Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, perimeter = Perimeter of a rectangle + Circumference of a semicircle
= 2(15+4) + 2πr/2
= 2×19 + 3.14×2
= 38 + 6.28
= 44.28 units
Therefore, the perimeter of the given figure is 44.28 units.
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https://brainly.com/question/15287805.
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What is the coefficient of the last term in the binomial expansion of (x + 1)9?
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Answer:
1 is the coefficient of the last term in the binomial expansion
Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)
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Answer:
3/-7
Step-by-step explanation:
Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.
Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answers
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
Can 6/-6 be simplified?
Answers
Answer:
yes. it would technically be -1
Step-by-step explanation:
Because fractions are technically division, 6 ÷-6 = -1
Answer:
yes it can be simplified to 6/6 thats the lowest term
Step-by-step explanation:
hoped it helped
can u give me a brainlist?
The total cost, c, of buying Mickey Mouse Ears, where m is amount of ears bought and 1 magnet, is given by the formula c = 22m + 8. Which equation is equivalent to this formula when solved for m? *
1 point
m = (c - 8)/22
m = (c+ 8)/22
m = c/22- 8
m = c
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Let p(n) be the number of primes less than n. What is p(50)
Answers
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Solve one third plus seven ninths equals
Answers
Answer:
1 1/9 0r 10/9
Step-by-step explanation:
the least common denominator or LCM of the two denominators:
LCM of 3 and 9 is 9
For the 1st fraction, since 3 × 3 = 9,
1
3
=
1 × 3=3
3 × 3=9
= 3/9
Likewise, for the 2nd fraction, since 9 × 1 = 9,
7
9
=
7 × 1=7
9 × 1=9
=7/9
Add the two fractions:
3
9
+
7
9
=
3/9+ 7/9=10/9
So, 1/3 + 7/9 = 10/9
In mixed form: 1 1/9
Write an algebraic expression that models the following statement:
Four times the sum of 'x' and '7'.
Answers
Answer:
4(x+7)
or 4x+28
Step-by-step explanation:
Here you go:)
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answers
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
Write the following number in standard form: 3.471 x 10 to the power of negative 3
Answers
Answer:
=-3471 is the answer this may help you.
Step-by-step explanation:
=3.471×10^-3
=3.471×-1000
=-3471
Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error
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The correct response should be: (n/9)-3