Answer:
Step-by-step explanation:
T = x
S = 2x
J = 15
x + 2x + 15 = 63
3x = 63 - 15
3x = 48
x = 16
Tim has 16 marbles, Sue has 32 marbles and Jim has 15 marbles
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer:
17,068,935 square feet
Step-by-step explanation:
square feet 1 wall = 813*1615 = 1312995
square feet 13 walls = 1312995*13 = 17068935 squre feet
Answer:
10⁵ billion
Step-by-step explanation:
given that distance from sun to earth
= 1.5 x 10⁸ km (we need to convert this to millimeters)
= 1.5 x 10⁸ km x 1 million mm per km
= 1.5 x 10⁸ km x 1,000,000 mm/km
= 1.5 x 10⁸ km x 10⁶ mm/km
= 1.5 x 10⁸ x 10⁶
= 1.5 x 10⁽⁸ ⁺ ⁶⁾
= 1.5 x 10¹⁴ mm
also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)
= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter
= 10¹⁴
= 100,000,000,000,000 (remember that a billion has 9 zeros)
= 100,000 billion
= 10⁵ billion
