For which side has length 3cm, another side has length 4cm and the included angle is 110 degrees. What is the length of the third side to the nearest mm

58mm

Step-by-step explanation:

We can solve this kind of problem by using cosine rule:

a² = b² + c² - 2*b*c*cosA

In this question,

b = 3cm

c = 4cm

A = 110°

Hence,

a² = 3² + 4² - 2*3*4*cos110

a² = 9 + 16 - 24cos110

a² = 25 - (-8.208)

a² = 33.208

=> a = 5.763 cm

Approximately (in mm), a = 58mm

(10mm = 1cm)

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!

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply