Step-by-step explanation:
after rationalising we get as b)19
multiply 3√3+2√2 on numerator and denominator
7(3√3+2√2)/(3²*3-2²*2)
7(3√3+2√2)/27-8
7(3√3+2√2)/19
so denominator is 19
System of equations:
w=(3/2)*h (1)
w*h=54 area (2)
w=54/h substitute into (1)
54/h=3h/2
3h²=54*2
h²= 36 (we take only positive solution)
h = √36=6
h=6 in.
w=(3/2)*h=(3/2)*6= 9
w=9 in.
correct answer is D
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
Answer:
28.95
Step-by-step explanation:
x+2.45=31.4
x=31.4-2.45
x=28.95
Answer:
13/52
Step-by-step explanation:
i think that because in one deck of cards there are 52 cards in total and you divide 52 ÷ 4 it will give you 13 and you divide by four because there are 4 suits in total.