Cos 15º cos 60° + sin 15° sin 60°
find exact value

½√2

Step-by-step explanation:

Use angle difference formula.

cos(x − y) = cos x cos y + sin x sin y

cos(60° − 15°) = cos 60° cos 15° + sin 15° sin 60°

cos(45°)

½√2

area of the base of the cube is smaller than 1 square foot

Step-by-step explanation:

since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}

which is equal to 10 in

now, we know that area of the base of the cube will have an square cross section area= side^2

there area of base of the cube = 10^2= 100 sq in

now 1 foot= 12 in

therefore, 1 square foot = 12*12 square in = 144 sq in

clearly, area of the base of the cube is smaller than 1 square foot.

hope you liked the explanation.