Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)
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]
Markus receives dollar bills from his grandfather for one week. On the first day he received $1; on the second day he received $2, on the third day he received $4, and on the fourth day he received $8. If this continues, how much money will Markus have in total by the end of the week?
(Don't forget your units.)
Answer:
$127
Step-by-step explanation:
1+2+4+8+16+32+64=127
The second the is doble the first day, the third day is double the second day, the fourth day is double the third day, keep on continuing the patern.
Answer: Markus will receive $64 dollars at the end of the week.
Step-by-step explanation: 1*2=2 2*2=4 4*2=8 8*2=16 16*2=32
32*2=64
Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8
Solve this system using elimination (20 POINTS)
4x-7y=3
x-7y=-15
Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
------------------
-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
heLp pLs aNd tHanK yOUz
Answer:
5
1
20
4
35
7
45
9
50
10
Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed
Tiffany buys a basket of watermelons on sale for \$9$9dollar sign, 9 before tax. The sales tax is 9\%9%9, percent.
What is the total price Tiffany pays for the basket of watermelons?
\$\$ dollar sign, space
Answer:
Tiffany pays a total price of $9.81 for the basket of watermelons
Step-by-step explanation:
Percentages
To increase a certain amount by a given percentage, we can first calculate the increasing amount and then add it to the original amount.
If the price of the basket of watermelons was $9 before tax, and the sales tax is 9%, we first calculate the tax amount to pay:
$9 * 9 / 100 = $0.81
Now we add it to $9 to get the total price paid by Tiffany:
Total price = $9 + $0.81 = $9.81
Tiffany pays a total price of $9.81 for the basket of watermelons
Answer:
9.81 it was confirmed :)
Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?
Answer:
No
Step-by-step explanation:
Lisa: 5 red beads to 3 yellow beads
Tim: 9 red beads to 6 yellow beads
5/3 & 9/6
5/3(2/2) = 10/6
10/6 & 9/6
10/6 > 9/6
10/6 is in fact greater than 9/6. So the answer is no.
Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
COULD SOMEONE HELP ME ITS URGENT!!!!
Omar flies his plane out of a local airport. The airport is at an altitude of 1100 feet above sea level. He flies his plane to an altitude of 2500 feet above sea level. Which number represents sea level?
help pleaeeeeesssssssss
Answer:
-2, b, a+c
Step-by-step explanation:
hope this helps!
2. D-Vee-Ta Supermarket sells pears or $1.68 per kilogram. Estimate the prices for each
amount of pears. Explain how you made your estimation. Use may use the ratio table to
help in your explanation.
1
2
3
4
5
6
$1.68
3.36
5.04
6.72
2.a. 2.75kg
2.b. 0.19kg
Answer:
2.a. The price of 2.75 kg of pears is $4.62
2.b. The price of 0.19 kg of Pears is $ 0.3192
Step-by-step explanation:
The given parameters are;
The price of each kilogram of Pears = $1.68
Therefore, we have;
The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears
2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62
The price of 2.75 kg of pears = $4.62
2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192
what is 20 times 45 divided by 6
Answer:
The answer is 150
Step-by-step explanation:
I hope this helped, please mark me brainliest. Thank you and have a nice day!
8x+5x= 1300
what is x
Answer:
x = 100
Step-by-step explanation:
Original equation:
8x + 5x = 1300
Combine like factors
13x = 1300
Divide both sides by 13
x = 100
Hope this helps :)
Please consider Brainliest :)
Answer:
The answer is:
x= 100
Step-by-step explanation:
1. Collect like terms.
Turn 8x+5x to 13x2. Divide both sides of the equation by 13.
13x= 13003. Then you should get, x= 100.
Hope this helps and if you could mark this as brainliest. Thanks!
Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
(6th grade math)
68.2x8.4=?
Answer:
572.88
Step-by-step explanation:
Use a calculator it makes it easier
The solution of expression 68.2 × 8.4 after multiplying is,
⇒ 572.88
Given that,
A mathmatical expression to solve,
⇒ 68.2 × 8.4
Now, simplify the number and then multiply as,
⇒ [tex]68.2 \times 8.4[/tex]
⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]
After multiplication the numbers we get;
⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]
⇒ [tex]\dfrac{57,288}{100}[/tex]
⇒ [tex]572.88[/tex]
Therefore, the solution of expression 68.2 × 8.4 is,
⇒ 572.88
Learn more about the multiplication visit:
brainly.com/question/10873737
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I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
Answer:
it is corect
Step-by-step explanation:
solve (2x-10)=(65-x)
Answer:
The answer is x = 25.
Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5
Answer:
11.906
23.806
Step-by-step explanation:
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When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What are the dimensions of the rectangle?
Answer:
Width=3 cm
Length=5 cm
In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?
Answer:
150 to 170 successful free throws
Step-by-step explanation:
Total % of free throws made = 80%±5%
If attempted number of free throws = 200
Range of successful free throws to expect :
(80% - 5%) of 200 TO (80% + 5%) of 200
75% of 200 TO 85% of 200
(0.75 * 200) TO (0.85 * 200)
150 TO 170
150 - 170 successful free throws
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
The Value of x would be 3
Step-by-step explanation:
Answer is A
Answer:
A. 3
Step-by-step explanation:
Evaluate the expression. Need Answer Asap
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
Manuel and Felicia are comparing how much
money they have
• Manuel has $250.
• He saves $150 per week,
• Felicia has $1,650.
• She spends $200 per week.
• Let x = the number of weeks
• Let y = the amount of money at the end
of the week.
Which system of equations represents this
situation?
Answer:
y = 250 + 150xy = 1650 - 200xStep-by-step explanation:
Equation for Manuel:
y = 250 + 150xEquation for Felicia:
y = 1650 - 200xSolving we get:
250 + 150x = 1650 - 200x150x + 200x = 1650 - 250350x = 1400x = 1400/350x = 4 weeksand
y = 250 + 150*4 = 250 + 600 = $850After 4 weeks Manuel and Felicia will have equal amount of money- $850
Mary-Ann has $28, which is 2 1 3 as much money as Lola has. How much money does Lola have? find the number
Answer:
Lola has $12
Step-by-step explanation:
To find how much money Lola has, we need to divide $28 by 2 1/3:
28 ÷ 2[tex]\frac{1}{3}[/tex] = [tex]\frac{28}{1}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{1}[/tex] = 12
Hope this helps! :)
Answer:
$12
Step-by-step explanation:
Lola has x.
Mary-Ann has 2 1/3 times what Lola has. Mary-Ann has $28
2 1/3 * x = 28
Change 2 1/3 into a fraction.
(7/3)x = 28
Multiply both sides by the reciprocal of 7/3 which is 3/7.
(3/7) * (7/3)x = (3/7) * 28
x = 12
Answer: Lola has $12.
Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
Answer:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The given function is f(x) = -0.1·cos(x) - 4
The parent cosine function is cos(x)
Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;
The negative sign in the function gives a reflection across the x-axis
The 0.1 factor of the cosine function gives a compression of 0.1
The constant -4, gives a vertical translation 4 units down
Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.
Answer:
✔ vertical compression by a factor of 0.5
reflection across the y-axis
✔ vertical translation 3 units down
vertical stretch by a factor of 0.5
✔ reflection across the x-axis
vertical translation 3 units up
vertical translation 0.5 units down
or A.), B.), and D.)
The function rule y = –0.5cos(x) – 3 describes graph
✔ c shown.
Plz help I will mark branindiest?
Answer:
the answer is on google
How do you solve (3×-2)^3
Answer:
the answer should be -216
Everybody solve this pls and a answer
More information is needed to properly answer the question!
Step-by-step explanation:
(x+12)+(6x-4)+(3x+2)=180
10x+10=180
10x=170
x=17
m<W =17+12
=29
[EASY + BRAINLIEST] Find the slope-intercept equation of the line. PLEASE HELP!
Answer:
y = 1x + 2
Step-by-step explanation:
i just did this question on brainly but another person asked it.