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murzikaleks [220]
4 years ago
9

How can the radian measure of an angle determine the arc length on the unit circle?

Mathematics
1 answer:
AfilCa [17]4 years ago
8 0

Step-by-step explanation:

Arc length is defined as:

s = rθ

where r is the radius and θ is the angle in radians

A unit circle has a radius of 1, so the arc length is equal to the radian measure of the angle.

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Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €
Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

f=20-t

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10

3. Substitute the value of "t" into the equation f=20-t and evaluate:

f=20-10\\\\f=10

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

Total=10(5)+10(10)=150

She has a total of 150€.

5 0
4 years ago
Match the gig ratio with the approximate decimal number Round to nearest 10
adell [148]

Answer:

sin 30 sin 30 sin 30 sin 30

5 0
3 years ago
I need help ASAP!
Semmy [17]

Answer:

One angle measures 150 degrees.

The second angle is 30 degrees.

Step-by-step explanation:

5 0
3 years ago
Is y=3x + 3 or y=5x - 6 steeper?
babymother [125]
Y=5x-6 is steeper
 thatsur annwser
7 0
3 years ago
Multiplication:
Montano1993 [528]

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

6 0
3 years ago
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