Answer:
[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles
Step-by-step explanation:
Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and
[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.
So,
[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]
This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]
As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]
[tex]\frac{l}{r}=\frac{L}{R}[/tex]
As radius of one circle is twice the radius of the other circle,
[tex]R=2r[/tex]
[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
pls help!! would be greatly appreciated<3
Answer:
x=7
Step-by-step explanation:
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo?
Answer: ion know i'm guessing 4
Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there
Answer: It would be 20
Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE
Answer:
one min
Step-by-step explanation:
Answer: 2 minutes
20/10=2
PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return
Answer:
Carlos rode further than on Saturday by 107/56 miles.
Step-by-step explanation:
i did the quiz lol
Answer:
Its D
Step-by-step explanation:
I took the test and got it right.
Solve for g
8.95 – 5.4g = 3.81 – 9.58 – 8.69
Answer:
3
Step-by-step explanation:
Answer:
g=4.33
Step-by-step explanation:
8.95 - 5.4g = 3.81 - 9.58 - 8.69
-5.4g = 3.81 -9.58 -8.69 - 8.95
-5.4g = 5.77 - 8.69 - 8.95
-5.4g = -14.46 - 8.95
-5.4g = 23.41
-5.4/-5.4 =23.41/-5.4
g=4.33
Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
A- they are parallel because they have equal slopes.
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?
Answer:
90 minutes
Step-by-step explanation:
In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.
x = 200 * (45 / 100)
x = 200 * 0.45
x = 90 minutes
Therefore, Kenzie has already used 90 minutes of video on the flash drive.
help me please with this question
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6
Answer:
y = 2x + 16
Step-by-step explanation:
slope is parallel and equal to y = 2x + 6
y intercept = 16
Answer:
b - y=2x+16
Step-by-step explanation:
y=y1+m(x+x1)
(-4,8)
y=8+2(x-4)
y=8+2x-8
add 8 on both sides
y=2x+16
What is the quotient? -3/8 divided by -1/4
HELPPPPPP NOWWWWWE PLEASEEEE
Answer:
answer is C
Step-by-step explanation:
because they make linear
trying this again not sure if it went through the first time
The picture is really blurry for me. I can't read it...
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answer:
59 years and younger
Step-by-step explanation:
I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150
Answer: About $150.
Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.
How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2
THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30
Answer:
Step-by-step explanation:
The angles that you have shown are called same side exterior angles.
All same side exterior angles add to 180 degrees
Since we know this, we can make the following equation:
2y+2+4y-2=180
6y=180
y=30
To get each angle you can plug in y:
2*30+2=62
4*30-2=118
I hope this helps :)
When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy.
Answer:
They each earn 15 an hour
Step-by-step explanation:
Answer:
They both make $15
Step-by-step explanation:
In the first scenario Judy worked for 4 hours, (4)*(15)=60 plus Ben, (1)*(15)=15 which equals 75. In the second scenario, Judy works 2 hours so (2)*(15)=30 and Ben works 6, (6)*(15)= 90 which is 120.
PLEASEEEE HELPPPPPPP ASAPPPPP
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
Number 2. x>-1
Step-by-step explanation:
4(3x+2) is 12x+8. 12x+8-6 is 12x+2.
12x+2>8+2(x-8)
2(x-8) is 2x-16. 2x-16+8 is 2x-8.
12x+2>2x-8
12x>2x-10
10x>-10
x>-1
distribute 3(7x - 8)
Answer: 21x - 24
Step-by-step explanation:
(3 * 7) x - 3 (8) = 21x - 24
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
Answer:
78
Step-by-step explanation:
5,644 divided by 9 = 627
5,644 divided by 8 = 705
705 - 627 = 78
Hope this helps
mark brainliest please
[tex]log_{9}log_{2}log_{2}256[/tex]
Answer:
I hope it will help you...
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!
A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.
Answer:
Step-by-step explanation:
40 ft - 40 ft = 0
On sea level
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
Plot the line for the equation on the graph.
y−2=−2(x+4)
Answer:
(-3,0) and (0,-6)
Step-by-step explanation:
I NEED THE ANSWER NOW
Answer:
The last one
Step-by-step explanation:
68/5 - 22/5 = 46/5 = 9 1/5
Answer:
Option d
Explanation:
[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]
46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]