Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
Answer:
Four less a number
Step-by-step explanation:
x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.
Answer:
<u><em>13.896 kg</em></u>
Step-by-step explanation:
Volume of Gold Bar = Area of [Trapezium x Length of Bar]
Length of Bar = 16 cm
Area of Trapezium = 2 × Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²
2 × Area of Triangle = 2 × 7.5 = 15 cm²
Area of Rectangle = 6 × 5 = 30 cm²
Area of Trapezium = 15 + 30 = 45 cm²
Volume of Gold Bar = 45 × 16 = 720 cm³
Density of Gold = 19.3 g/cm³
Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg
Mass of Gold Bar = 13.896 kg
Therefore the <u>mass</u> of the Gold Bar is: <em><u>13.896 kg</u></em> (kilograms).
-3 is our y-intercept is plotted on both graphs yet one is negative and the other is positive and
Is our slope and is positive and the graph that is positive is the first graph.
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
