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4 years ago

What is the radian measure of the smaller angle formed by the hands of a clock at 4 pm?

Mathematics

1 answer:

never [62]4 years ago

4 0

On a clock, every 5 minutes is just another 30° angle deviation away from the 12th hour, hence 30° × 4 = 120°

Converting this value into radians..

$\frac{120\pi}{180}$
Simplifying this value should get you, 2π/3 rad, which is the radian measure of the clock hands at 4pm.

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solong [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%

Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is $= P(1+ \frac{R}{100})^t$

$= 2665 (1+ \frac{24.36}{100})^1.5$

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

$P = \frac{r(Pv)}{1 - (1+ r)^{-n}}$

p = monthly payment

Pv = present value = 3695.88

r =rate per period $= \frac{24.36}{12} = 0.020$

n = number of period $= 12\times 3 = 36$

plugging all value in the above formula

$P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}$

P = $ 144.99

5 0

3 years ago

Elle decreased her monthly budget from $250 to $200. Calculate the percent decrease

kirill [66]

Formula for finding percent change (increase or decrease) is amount of the change divided by the original amount.

Here, the amount of the change is 50 and the original amount is 250.

50/250= 0.2

Multiply by 100 to get percent.

20% decrease (because budget went down)

6 0

3 years ago

Find the value of cos P rounded to the nearest hundredth, if necessary.

Leviafan [203]

Answer:

0.13

Step-by-step explanation:

cos P = adj/hyp

cos P = 2/16

cos P = 1/8 = 0.125

cos P = 0.13

7 0

2 years ago

HELP! IM STUCK!

Readme [11.4K]

Answer:

$(x-1)^2+(y+4)^2=9$

Step-by-step explanation:

The equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

The center of the circle is (1, -4).

And the radius is 3.

Substitute:

$(x-(1))^2+(y-(-4))^2=(3)^2$

Simplify. Thus, our equation is:

$(x-1)^2+(y+4)^2=9$

3 0

3 years ago