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]
A wire 45 meters long is cut into two pieces, One piece is 5 meters longer than the other. What is the length of the two pieces? Create an equation and solve .
Given:
A wire 45 meters long is cut into two pieces
One piece is 5 meters longer than the other.
To find:
The length of the two pieces.
Solution:
Let length of one piece be x.
One piece is 5 meters longer than the other. So,
Length of another piece = x+5
Total length of wire is 45. So,
[tex]x+(x+5)=45[/tex]
[tex]2x+5=45[/tex]
Subtract 5 from both sides.
[tex]2x=45-5[/tex]
[tex]2x=40[/tex]
Divide both sides by 2.
[tex]x=\dfrac{40}{2}[/tex]
[tex]x=20[/tex]
Now,
Length of one piece = 20 meters
Length of another piece = 20 + 5
= 25 meters
Therefore, the length of two pieces are 20 and 25 meters.
Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10
Answer:
b is the answer of this puestion
Claire's car averages 21 miles per gallon of gas. At that rate, how far would it go on 21 gallons? *
Answer:Claire car will go 441 miles on 21 gallons
Step-by-step explanation: 21×21=441
what is 3.14 times 5 divided by 7
Answer:
[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]
☥ Question : 3.14 times 5 divide by 7: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]
☥ Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.
➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]
➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]
➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]
Hope I helped !
Have a wonderful time ! ッ
~TheAnimeGirl
an equation of the line with a slope of 2/3 and y-intercept of −8.
Answer:
y = 2/3x - 8
Step-by-step explanation:
Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept
Plug in the slope and y intercept:
y = mx + b
y = 2/3x - 8
So, y = 2/3x - 8 is the equation of the line.
Find the slope of each line.
8x + y = 10
please help super soon my time is up in 5 minutes
Answer:
The answer is -8
Step-by-step explanation:
Subtracting 8x from both sides to get Y by itself, you would get
Y= -8X + 10, and we know that y=mx+b, where M is the slope, therefore -8 is M and the slope is -8.
Answer:
y = -8x + 10
Step-by-step explanation:
Just move the 8x to the other side of the equation. hope you finish
Find the midpoint of segment AB if A(3, 2) and B(-1,4) Select one: O b (2, 1) O b. (1,3) O c. (2,6) O d. (2,3)
Answer:
B (1, 3)
Step-by-step explanation:
midpoint formula is m=(x1 + x2 / 2), (y1 + y2 / 2)
So the xs are 3 and -1 add them to get 2, divided by 2 is 1.
The ys are 2 and 4, which equal 6, divided by 2 is 3.
So (1, 3)
In chemistry class, Bob recorded the volume of a liquid as 17.7 mL. The actual volume was 17.1 mL. Use the formula to find percent error of Bob's measurement to the nearest tenth of a percent.
Percent Error =
|Experimental Value − Actual Value|
Actual Value
× 100
20 POINTS!!
( Also explain the reasoning you used to find the value of P)
ILL MARK BRAINLIEST!!
9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.
Answer:
it is A
Step-by-step explanation:
Solve for x. 2/3(x−7)= −2
Enter your answer on the line.
x = __
Answer: easy x=4
Step-by-step explanation:
have a great thanksgiving
Answer:
The answer will be X=4
Step-by-step explanation: I know this because I just got done learning this stuff.
Round 25.395 to the nearest hundredths.
Answer:
25.40
Step-by-step explanation:
Answer:
25.40
Step-by-step explanation:
5 rounds up but 9 rounds up to ten so you add one to the tenths
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
Antonio has $74 to spend on video games. He buys one game for $46.90 and another game for $11. How much money will he have left over?
how many minutes are there in one monty
Answer:
43200 minutes
Step-by-step explanation:
60×24×30=43200
Answer:
44,640??
Step-by-step explanation:
there is 24 hours a day multiply 24 to 31 answer is 744,
744× 60=44,640
Please help me with this
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
is the answer you add 19 + 21 give you 40
40
Enter an equation in standard form to model the linear situation. A bathtub that holds 23 gallons of water contains 13 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answer:
2x - y = -13
Step-by-step explanation:
January 30,2019 was the coldest day in minieapolis-St. Paul in over 20 years. The lowest tempeauture recorded that day was -28F. The warmest temperature was 15 higher
Answer:
The warmest temperature was -13FStep-by-step explanation:
We are expected to compute the warmest temperature recorded at Minneapolis
Step one:
We are told that on January 30th of 2019 was the coldest day at Minneapolis
hence the temperature reading= -28F------this is like 28 points away from 0 on the number line
Step two:
We are given that the warmest temperature recorded is 15F higher.
since the -ve sign represent cold or snowy weather, the warm temperature
is gotten by adding 15F to the negative temperature
=-28+15
= -13F
The warmest temperature was -13F
f(x) = 2x + 1
h(x) = one-halfx – one-half
h(x) = one-halfx + one-half
h(x) = one-halfx – 2
h(x) = one-halfx + 2
if a triangular sail has a vertical height of 83 ft and horizantal length of 40 ft, what is the area of the sail?
Answer:
A = 1660 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of the sail or a triangle is base times height
A = [tex]\frac{1}{2}[/tex](b x h)
Base is 40 ft (horizontal length)
Height is 83 ft (vertical height)
A = [tex]\frac{1}{2}[/tex](b x h)
A = [tex]\frac{1}{2}[/tex](40 x 83) = [tex]\frac{1}{2}[/tex](3320) = 1660 [tex]ft^{2}[/tex]
Steph makes and sells birthday cakes. Each cake costs £54 to make.
She makes a profit of 15% on each cake.
What is the selling price of Steph's birthday cakes?
(2 marks)
£=
The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost per cake = £54
15% of £54 = 0.15 x 54 = £8.1
Selling price = £54 + £8.1 = £62.1
Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
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
Answer:
2.05 and 14.61
Step-by-step explanation:
On Edg
Write an equation for a line that passes through (0,0) and is parallel to a line that passes through (-5, 3) and (2, 1)
Answer:
sorry i needed the points for school
Step-by-step explanation:
1. The sum of two consecutive integers is 27. What are the two integers?|
Answer:
13 and 14
Step-by-step explanation:
Does anyone know how to do it?
Answer:
x = -7º
x+59 = 52º
x+51 = 44º
Step-by-step explanation:
84 + (x+59) + (x+51) = 180º
180 - 84 = 96
x+59 + x+51 = 96
2x + 110 = 96
2x = -14
x = -7
proof:
-7+59 = 52º
-7+51 = 44º
the sum of angles in a triangle must be 180º so:
84 + 52 + 44 = 180
Answer:
∠A = 44°Step-by-step explanation:
84 + x + 59 + x + 51 = 180
2x = 180 - 84 - 59 - 51
x = -14/2
x = -7
∠A = x + 51
∠A = -7 + 51
∠A = 44°
i would really really appreciate some help on this... brainliest to whoever can help?..
Answer:
=2 i think srry if i get it wrong
Step-by-step explanation:
Which equation below would be best solved by using the addition property of equally?
1-23-45
231-45
f. 23-45
1-23 - 45
Answer:
D
Step-by-step explanation:
Edge 2020 :)
Answer:
the answer is D
Step-by-step explanation:
WILL GIVE BRAINLY
A trail begins at an elevation of –50 feet below sea level. The trail ends at an elevation of 287 feet above sea level. By how many feet does the elevation of the trail change from beginning to end? PLEASE EXPLAIN
Answer:
237 is how much it changed
Step-by-step explanation:
all you do is 287 - 50 thats ur answer
question in the picture!!
looking for the answer of 3) and 4) !!
<3
Answer:
3(percent): 75% 3(decimal): .75
4(percent):60% 4(fraction): 6/10 or 3/5, depending on wether or not you choose to simplify.
11. Samuel's current salary is $30,000. He has been
promised a raise to $31,500 next year. His raise
will be what percent increase over his current
salary?
A. 3%
B. 3.5%
C. 4%
D. 5%