Find c. Round to the nearest tenth. Laws of sines

9514 1404 393

  c ≈ 56.3 cm

Step-by-step explanation:

I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)

  c ≈ (27 cm)(0.978/0.469)

  c ≈ 56.3 cm

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m