All categories

3 years ago

Find the length of Arc YWV, if line XZ=12 meters. (Round to the nearest hundredth)

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

Answer:

53.62 m

Step-by-step explanation:

Length of arc = θ/360 × 2πr

r = XZ = 12 m

m<XYZ = 180 - 108 = 72° (angles on a straight line)

θ = 85° + 72° + 108° = 265°

Length of arc YWV = 256/360 × 2 × π × 12

= 53.6165146 ≈ 53.62 m (nearest hundredth)

You might be interested in

The diameter of the circle is 8 inches. What is the area?

EleoNora [17]

50.2655 but You can also put it as 50in! :D

8 0

3 years ago

Read 2 more answers

2 Solve for a. 5 a = √ [?] a = Pythagorean Theorem: a² + b2 = c²

yuradex [85]

Answer:

$a = \sqrt{21}$

Step-by-step explanation:

Pythagorean theorem
$\sqrt{a ^{2} + b ^{2} } = c \\ \sqrt{c ^{2} - b ^{2} } = a$
$\sqrt{5 ^{2} - 2 ^{2} } = \sqrt{21}$

4 0

2 years ago

Read 2 more answers

Mark wants to be a millionaire by the time he retires at age 65. He assumes there is a 6% annual interest rate. If he starts sav

Mashutka [201]

Answer:

B is the answer for this question. :)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tail

WINSTONCH [101]

Answer: Two-tailed test.

Population mean is the parameter which is tested.

Step-by-step explanation:

Given : $H_0: \mu=105$

$H_1:\mu\neq105$

We know that , the alternative hypothesis ( $H_1$ ) indicates kind of the hypothesis test we need to perform whether left-tailed, right-tailed, or two-tailed.

Here, the alternative hypothesis ( $H_1$ ) is two-tailed, so the hypothesis test is a two-tailed test.

Also, the parameter present in the hypothesis is $\mu$ which is a symbol to represent the population mean.

Thus , Population mean is the parameter which is tested.

8 0

3 years ago

What is the The range of y = square root X-5 – 1

Step2247 [10]

Answer:

[-1, infinity)

Step-by-step explanation:

I must assume that you meant y = √(x - 5) - 1.

The range of the square root function is [0, infinity.

If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).

3 0

3 years ago