The first thing to do is turn this into an equation:
2/3 ÷ 10
10 as a fraction is 10/1
2/3 ÷ 10/1 =
Fractional division is just fractional multiplication after switching the numerator and the denominator of the second fraction:
2/3 X 10/1
Fractional multiplication is simply multiplying the numerators by each other, and the denominators by each other:
2 X 10 = 20
3 X 1 = 3
20/3
Each piece of liquorice will be 20/3 or 6 2/3 of a yard long.
A coterminal angle of θ such that 0 ≤ θ ≤ 2π is equal to 7π/4 and the exact value of Sin(θ) = -1/√2.
<h3>What is a coterminal angle?</h3>
A coterminal angle can be defined as an angle that share the terminal side of an angle which occupies the standard position i.e it has the same initial side.
In this scenario, all angles that are multiples of 2π and added to the given angle (-9π/4) would be coterminal. For the range [0, 2π], 8π should be added to the given angle as follows:
Coterminal angle = -9π/4 + 4π
Coterminal angle = -9π/4 + 16π/4
Coterminal angle = 7π/4.
<h3>Part B.</h3>
The reference angle is given by:
7π/4 -π = 3π/4.
Therefore, the exact values of all six (6) trigonometric functions evaluated at θ are:
Read more on coterminal angles here: brainly.com/question/23093580
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Answer:
15 of $3 books and 4 of the $8 books
Step-by-step explanation:
15×3= 45
8 × 4= 34
45+32= 77
Its 24,000 if the number goes to ten thousand's place..
Answer:
4 ft
7.2 ft
20 ft
Step-by-step explanation:
When the balloon is shot, x = 0.
y = -0.05(0)² + 0.8(0) + 4
y = 4
The balloon reaches the highest point at the vertex of the parabola.
x = -b / 2a
x = -0.8 / (2 × -0.05)
x = 8
y = -0.05(8)² + 0.8(8) + 4
y = 7.2
When the balloon lands, y = 0.
0 = -0.05x² + 0.8x + 4
0 = x² − 16x − 80
0 = (x + 4) (x − 20)
x = -4 or 20
Since x > 0, x = 20.
