Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
Simplify. The denominator uses the difference of two squares pattern:
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
Split into two separate fractions:
Rewrite the two fractions:
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
Hence verified.
The sample space is:
(1, 1); (1, 2) - sum of 3; (1, 3); (1, 4); (1, 5) - sum of 6; (1, 6);
(2, 1) - sum of 3; (2, 2); (2, 3); (2, 4) - sum of 6; (2, 5); (2, 6);
(3, 1); (3, 2); (3, 3) - sum of 6; (3, 4); (3, 5); (3, 6) - sum of 9;
(4, 1); (4, 2) - sum of 6; (4, 3); (4, 4); (4, 5) - sum of 9; (4, 6);
(5, 1) - sum of 6; (5, 2); (5, 3); (5, 4) - sum of 9; (5, 5); (5, 6);
(6, 1): (6, 2); (6, 3) - sum of 9; (6, 4); (6, 5); (6, 6)
A.
Slope has x at the end and the intercept doesn’t.
Answer:
The answer to your question is Advance = $35 and same-day = $40
Step-by-step explanation:
Advanced = a
Same-day = s
Equations
a + s = 75 ----- (I)
20a + 35s = 2100 ----- (II)
Process
1.- Solve the equations by elimination.
Multiply equation I by -20
-20a - 20s = -1500
20a + 35s = 2100
Simplify
0 + 15s = 600
Solve for s s = 600/15
s = $ 40
Substitute "s" in equation I to find "a"
a + 40 = 75
Solve for a
a = 75 - 40
a = 35
A because it makes sense
Step by step explanation
