Let's see
L=
Ø/360×2πr60/360×2π(10)1/6×20π10/3π inThe arc length with central angle 60° and radius 10 cm is 10.47 cm.
Relation between angle and length of arc?An angle exists the figure formed by two rays, named the sides of the angle, sharing a common endpoint, reaching the vertex of the angle. Angles formed by two rays lie in the plane that includes the rays. Angles are also created by the intersection of two planes. These exist named dihedral angles.
If length of arc with central angle 360° is 2*[tex]\pi[/tex]*r (r-Radius)
Then length of arc with central angle 60° is [tex]\dfrac{2\pi r}{6}[/tex].
That is [tex]\pi[/tex]r/3 =3.14*10/3
=10.47 cm
Therefore, the arc length is 10.47 cm.
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Zair has 48 marbles in his pocket. He has 3 more blues than the
yellow ones, and 4 times as many yellows as the red ones. How
many of each colored marble is there?
Answer:
# yellow = 20
# blue = 23
# red = 5
Step-by-step explanation:
let 'r' = # red marbles
let '4r' = # yellow marbles
let '3+4r' = # blue marbles
r + 4r + 3 + 4r = 48
9r + 3 = 48
9r = 45
r = 5
red = 5
yellow = 4(5) = 20
blue = 3+4(5) = 23
Please help due today I will give brainliest!
Find the slope of the line that passes through each pair of points
2. (0,1), (1,-2)
3. (2,5), (3,6)
4. (6,1), (-6,1)
5. (4,6), (4,8)
6. (5,2), (5,-2)
7. (2,5), (-3,-5)
8. (9,8), (7, -8)
9. (-5,-8), (-8,1)
10. (-3,10), (-3,7)
11. (17,18), (18,17)
12. (-6,-4), (4,1)
13. (10,0), (-2,4)
14. (2,-1), (-8,-2)
15. (5,-9), (3,-2)
16. (12,6), (3,-5)
17. (-4,5), (-8,-5)
18. (-5,6), (7,-8)
Answer:
Step-by-step explanation:
2. (-2-1)/(1-0)= -3/1 = -3
3. (6-5)/(3-2)= 1/1= 1
4. (1-1)/(-6-6)= 0/-12= 0
6. (-2-2)/(5-5)= -4/0 = undefined
5. (8-6)/(4-4)= 2/0 = undefined
7. (-5-5)/(-3-2)= -10/-5= 2
8. (-8-8)/(7-9)= -16/-2= 8
9. (1+8)/(-8+5)= 9/-3= -3
10. (7-10)/(-3+3)= -3/0= undefined
11. (17-18)/(18-17)= -1/1= -1
12. (1+4)/(4+6)= 5/10 = 1/2
13.(4-0)/(-2-10)= 4/-12 = -1/3
14. (-2+1)/(-8-2)= -1/-10= 1/10
15. (-2+9)/(3-5)= 7/-2= -7/2
16. (-5-6)/(3-12)= -11/-9= 11/9
Find the area using sine rules.
Answer:
22.44 mi²Step-by-step explanation:
Step 1
Find the missing angle:
m∠H = 180° - (47° + 99°) = 34°Step 2
Find the missing sides by using the law of sines:
sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 miStep 3
Use Heron's formula for the area:
A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sidesFind s:
s = 1/2(5.9 + 7.7 + 10.4) = 12Find A:
A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²Pls tell me which square unit :(
Answer:
8
Step-by-step explanation:
If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
some pls help I have a couple min left plzz
HELP plz I GIVE BRAINLIEST PLUS A LOT OF POINTS Draw a number line and mark all described points on it... ...Numbers that are either negative or greater than 5.
Answer:
Please find the attached file of the given graph:
Step-by-step explanation:
19) Kyle has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in his account by the end of the summer. Kyle withdraws $20 each week.
Write an inequality that represents Kyle's situation.
How many weeks can Kyle withdraw from his account? withdraw money
Pls help asap I have 10 min left to answer :(
Answer:
A. 1 foot
Step-by-step explanation:
Answer:
your answer will be A.1 foot
Step-by-step explanation:
hope it helps you
have a great day
WILL GIVE BRAINLYEST PLEASE HELP !
Answer:
d
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=85°, and VT = 20 feet. Find the length of TU to the nearest tenth of a foot.
Answer: 20.1
Step-by-step explanation: I if you are here from delta math this is the answer
Answer: 20.1
Step-by-step explanation:
sinU=
hypotenuse
opposite
=
x
20
\sin 85=\frac{20}{x}
sin85=
x
20
x\sin 85=20
xsin85=20
Cross multiply.
\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}
sin85
xsin85
=
sin85
20
Divide each side by sin 85.
x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}
x=
sin85
20
=20.0764≈20.1 feet
Type into calculator and roundto the nearest tenth of a foot.
T
U
V
20
20.1
(opposite of ∠U)
(adj. to ∠U)
(hypotenuse)
85°
what is 5 5/7 x 3 1/5?
Please I need help to find the Slope so I will be able to do the next step.
Answer:
1) 1/2
2) 2/1
3) -1/2
4) -2/1
Step-by-step explanation:
use two ordered pairs to find slope by using this formula:
difference of y-values over difference of x-values
example: for problem #1, I used points (0,3) and (2,4)
difference of y-values: 4-3 = 1
difference of x-values: 2-0 = 2
Slope is 1/2
This year a small business had a total of $35,100.If this is 35% more than their total revenue the previous year, what was their total revenue the previous year
Answer:
22,815
Step-by-step explanation:
35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.
plzzzzz this is all the points i can give bc i have 14
PLZZZ help
Answer:
if its double the size of 3 ft that will be a 6 foot room
Find the value of x in the figure shown.
Answer:
17Step-by-step explanation:
3x +39 =90
3x =90-39
3x=51
make it in fraction
3x over 3 equals to 51 over 3
simplify
= 51
Answer:
x = 17
Step-by-step explanation:
a straight line equals 180º so each side is 90º.
90 - 39 = 51
3 x __ = 51
3 x 17 = 51
so..x = 17
Solve each equation: -5(5x+5)+3(5x+3)=-4x-6x
Answer:
x= -1.118
Step-by-step explanation:
Firstly you need to start with the bracket
-5(5x +5) + 3(5x +3)
=( -25x +25) + (15x +9)
= -25x +25 +15x +9= -4x -6x
secondly you join the like terms together
25+9= -4x -6x +25x -15x
34= -38x
-38x ÷ 34
x= -1.118
how important is it to manage depression and stress effectively support your answer
Answer:
its manage to depreciate and that's all
Answer:
Effective stress management helps you break the hold stress has on your life, so you can be happier, healthier, and more productive. The ultimate goal is a balanced life, with time for work, relationships, relaxation, and fun—and the resilience to hold up under pressure and meet challenges head on.
Step-by-step explanation:
These include:
– Exercising regularly and adopting a healthy lifestyle.
– Exploring stress coping programs, which may incorporate meditation, yoga, tai chi, or other gentle exercises.
– Engaging socially.
– Avoiding unnecessary stressors by setting priorities and learning to say “no” to tasks.
Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
Which of the following coordinate pairs make the equation x - 9y = 12 true?
(12, 0)
(0, 12)
(3, -1)
(0, -4/3)
Answer:
first one............
HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
Samantha earns $8 p;er hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours
Answer:
E=8h
Step-by-step explanation:
Becuase the earings equal the $8 times the amount of hours she worked.
Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?
Answer: 3
Step-by-step explanation:
Vince will have to buy three cartons of 500 ml each.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.
We know that -
1 Liter = 1000 milliliters
1.5 liter = 1500 liters
Now -
1 carton 500 ml.
Then, 1 ml will be in (1/500) carton.
So, 1500 ml will be in (1/500 x 1500) = 3 cartons
Therefore, Vince will have to buy three cartons of 500 ml each.
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what is the circumference of a circle that's radius is 11.8
Answer:
124
Step-by-step explanation:
Answer:
vggx yvhvjvd
Step-by-step explanation:
vhbbgu hg h
Use the number line to help you decide which statement is true.
Answer:
where
Step-by-step explanation:
where's the number line???
Answer:
where the number line
Step-by-step explanation:
you can screen shot the number line
Are E1 and E2 mutually exclusive events? Why or why not?
Answer:
E1 and E2 are not mutually exclusive events. They have outcomes in common because a winning number can be both red and odd.
Step-by-step explanation:
EDMENTUM
Answer:
E1 1,3,5,7,9,12,14,16,18,19,21,23,25,27,30,32,34,36
E2 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35
E1 & E2 1,3,5,7,9,19,21,23,25,27
E1 or E2 2,4,6,8,10,20,22,24,26,28,0,00
Step-by-step explanation
plato answer, give branliest pls
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
V
X
(2, -3)
Write down the coordinates of the vertex of the curve with equation
a) f(x + 7)
b) f(-x)
I’m
Answer:
We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)
A) y=x+7 where a=1 b=0 and c=7
By replacing we have: V(0;28/4) V(0;7)
B) y=-x where a=-1 b and c=0 so V(0,0)
Use the equation y=2x-5
To find y when x=3z
Answer:
If y = 2x - 5, and x = 3z, then y = 6z - 5
Alice has taken a job with a starting salary of $17,600 and the annual raise of $850. What will her salary be on the 5th year of her job?
Answer:
21,850
Step-by-step explanation:
850 x 5 = 4,250
17,600 + 4250 = 21,850
Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of
line segment AB?