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3 years ago

Which of the the coordinates is equal to sin (4pi/5) ?

Mathematics

1 answer:

Aloiza [94]3 years ago

4 0

Answer:

Step-by-step explanation:

π/2 < 4π/5 < π

4π/5 is in Quadrant II

sin(4π/5) = y-coordinate of A

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Keiko, Dale, and Jose have a total of $107 in their wallets. Jose has 3 times what Dale has. Keiko has $8 less than Dale. How mu

olga2289 [7]

Answer:

Amount in Dale's wallet :$23

Amount in Keiko's wallet :$15

Amount in Jose's wallet: $69

Step-by-step explanation:

Let the money in Dale's wallet be $X

Given Jose has 3 times money than what Dale has.

if Dale has $X then Jose has $3X.

Also Keiko has $8 less than Dale

if Dale has $X then Keiko has $X - $8

Also Keiko, Dale, and Jose have a total of $107 in their wallets.

Writing this in form of mathematical expression with their value of money in terms of X we have given below equation.

$X + $3X + $X - $8 = $107

=> $5X - $8 = $107

=> $5X = $107 + $8 = $115

=> X = $115/5 = $23.

Amount in Dale's wallet = $X = $23

Amount in Keiko's wallet = $X - $8 = $23 - $8 =$15

Amount in Jose's wallet = $3X = $3*23 = $69

6 0

3 years ago

It takes Mike 1 hour to get to work each day. He first rides the train, which travels at an average rate of 65 miles per hour. T

Pepsi [2]

Answer:

Time_subway = 6 minutes

Step-by-step explanation:

Total time to get to work = 1 hour

Total_distance = 61 miles

Speed_train = 65 miles/h

Speed_subway = 25 miles/h

The fomula for speed is defined as

Speed = distance/ time, which means that

Time = distance/speed

Total_time = time_train + time_subway

Total_time = (distance_train/Speed_train) +

(distance_subway/Speed_subway )

1h = (distance_train/65) + (distance_subway/25 )

We also know that

Total_distance = 61 miles = distance_train + distance_subway

We solve the system of two equations

1 = (distance_train/65) + (distance_subway/25 )

61 = distance_train + distance_subway

We obtain that

distance_train = 58.5 miles

distance_subway = 2.5 miles

So the time spent on the subway is

t_sub = (2.5 mi/25 mi/h) = 0.1 h

0.1 h is equal to 6 minutes

3 0

3 years ago

Read 2 more answers

1 inch = 2.54cm 1 mile = 1.6km a map has a scale of 1 inch represents 1 mile use the given conversions to show that 1cm on the m

lara31 [8.8K]

Note: 1 inch = 2.54 cm is an exact converion, while 1 mile=1.6km is only approximate.

Using conversion
1 inch=2.54 cm
1 mile = 1760*3*12 = 63360 in = 160934.4 cm
If 1 inch = 1 mile, then
2.54 cm : 1 mile = 1.609344 km
1 cm : 0.6336 km (exactly), or
1 cm : 0.6 km (approximately)

Using both conversions:
1 inch = 2.54 cm : 1 mile = 1.6 km
=>
2.54 cm : 1.6 km
1 cm : 1.6/2.54=0.6299 km (approximately), or
1 cm : 0.6 km (approximately)

8 0

3 years ago

HELP ASSAP WITH THIS QUESTION

polet [3.4K]

Rise over run to find the slope so 4/2 which = 2

6 0

4 years ago

Find the particular solution of the differential equation \frac{dy}{dx} + y\cos(x) = 5\cos(x)

Assoli18 [71]

$\dfrac{\mathrm dy}{\mathrm dx}+y\cos x=5\cos x$
$e^{\sin x}\dfrac{\mathrm dy}{\mathrm dx}+y\cos xe^{\sin x}=5\cos xe^{\sin x}$
$\dfrac{\mathrm d}{\mathrm dx}\left[e^{\sin x}y\right]=5\cos xe^{\sin x}$
$e^{\sin x}y=5\displaystyle\int\cos xe^{\sin x}\,\mathrm dx$
$e^{\sin x}y=5e^{\sin x}+C$
$y=5+Ce^{-\sin x}$

4 0

3 years ago