What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min

Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C

denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

i) What is the measure of Angle BOA

= length of Arc BA / Radius

= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°

ii) what is the length of arc BAC

= radius * angle BAC * $\pi /180$

angle BAC = angle AOC + angle BOA

= 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * $\pi /180$

≈ 14.7 cm

3 0

2 years ago

Read 2 more answers

Which are true statements about a translation? Select all that apply. The image is congruent to the pre-image. The image could b

Novay_Z [31]

Answer:

a} The image is congruent to the pre-image.

c} The image could be moved left or right.

d} The image could be moved up or down.

Step-by-step explanation:

i took the test

6 0

2 years ago

Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of

Nikitich [7]

Answer:

The answer is given below

Step-by-step explanation:

Given that:

$f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}$

The function is an exponential function.

The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:

Domain: x = (-∞, ∞)

The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:

Range: y = (0, ∞)

8 0

2 years ago

Read 2 more answers

A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company

mash [69]

Answer:

In both the cases, the given total amount is given as:

T = 10 + 0.05 m (when minutes talked m < 600)

T = 40 + 0.15 k (when minutes talked k > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for first 600 minutes = $0.05

The per minute cost after 600 minutes = $0.15

Let us assume the number of minutes talked = m

Case 1: when the minutes talked is less than 600 minutes.

Total Charges = Flat Fee + 0.05 x ( the minutes talked)

or, T = $10 + m ($0.05)

or T = 10 + 0.05 m (when m < 600)

Case 2: when the minutes talked is more than 600 minutes.

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee + Charges for 600 minutes + 0.15 x ( the minutes talked over 600)

or, T = $10 + 600 ($0.05) + k($0.15)

or T = 10 + $30 + 0.15 k (when k > 600)

⇒ T = 40 + 0.15 k (when k > 600)

Hence, in both the cases, the given total amount is given as:

T = 10 + 0.05 m (when m < 600)

T = T = 40 + 0.15 k (when k > 600)

7 0

2 years ago

When alice completes each level in her favorite video game she wins 3 extra lives and 6 gold coins

Nataly_w [17]

The answer is 24. because you multiply 8 and 6

5 0

2 years ago

Read 2 more answers