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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)

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Someone please help

KIM [24]

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

$A=Pe^{rt}$

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

$19200=9600(e)^{0.06\times t}$

$2=e^{0.06t}$

$ln(2)=ln(e^{0.06t})$

ln(2) = 0.06t

t = $\frac{0.693147}{0.06}$

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

6 0

3 years ago

The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th

Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

brainly.com/question/20693059

#SPJ1

5 0

1 year ago

Factor the quadratic trinomial x^2-7x+12

tatuchka [14]

Answer:

(x-4)(x-3) hope this helps

Step-by-step explanation:

6 0

3 years ago

PLZ HELP!!!

slava [35]

Answer: Senior: $8, Child: 14

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

c = 14

3s + 14 = 38

3s = 24

s = 8

5 0

2 years ago

Read 2 more answers

Can someone help me out with this?

Anton [14]

Answer:

.5? or 1/2

Step-by-step explanation:

i think its half, because the Y factors are going down by half.

i hope that kinda made sense.

5 0

2 years ago