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Alik [6]
3 years ago
7

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)

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The next model of a sports car will cost 5.2% less than the current model. The current model costs $41,000. How much will the pr
Ivanshal [37]

The price will decrease by $2132

<u>Step-by-step explanation</u>

Given that the next model of the sports car will cost 5.2% less than the current model.

The price of the current model=$41000

The price of the next model will be 5.2% less than $41000

price\ of\ next\ model=price\ of \ current \ model \times(100-5.2)/100\\=41000\times 94.8/100\\=38868

decrease in price=41000-38868=2132

There is a $2132 decrease in prize of the sports car.

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3 years ago
BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and
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3 years ago
(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a
vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

SD = \sqrt{(N)(P)(1 - P)}

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

SD = \sqrt{(100)(0.5)(1-0.5)}

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0
4 years ago
What is the length of arc S?<br> (The angle in the figure is a central angle in radians)
IgorC [24]

Answer:

π/90 or 0.0035 units

Step-by-step explanation:

equation: <em>length of the arc = ∠of the angle/360 * circumference</em>

Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr

Simplify: S = 1/900 * 10π

Simplify: S = π/90 ≈ 0.003489 units

7 0
3 years ago
Which sequence of transformations will verify that quadrilateral WTUV and quadrilateral W'T'U'V' are congruent? A) WTUV is moved
andrew-mc [135]

Answer:

A) WTUV is moved onto W'T'U'V' after translating −15 units vertically, and then rotating 180° counterclockwise around the origin.

Step-by-step explanation:

WTUV is moved onto W'T'U'V' after translating −15 units vertically, and then rotating 180° counterclockwise around the origin.

6 0
3 years ago
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