Answer:
-20
Step-by-step explanation:
a2 + ( b-c)
rewrite the equation
2 * a + ( b - c )
a = -8
b = 17
c = 21
substitute in the given values
(-8) 2 + ( (17) - (21) )
simplify and solve
-16 + ( 17-21)
= -16 + (-4)
= -16 -4
=-20
Answer:
√(4/5)
Step-by-step explanation:
First, let's use reflection property to find tan θ.
tan(-θ) = 1/2
-tan θ = 1/2
tan θ = -1/2
Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.
Now let's look at the problem we need to solve:
sin(5π/2 + θ)
Use angle sum formula:
sin(5π/2) cos θ + sin θ cos(5π/2)
Sine and cosine have periods of 2π, so:
sin(π/2) cos θ + sin θ cos(π/2)
Evaluate:
(1) cos θ + sin θ (0)
cos θ
We need to write this in terms of tan θ. We can use Pythagorean identity:
1 + tan² θ = sec² θ
1 + tan² θ = (1 / cos θ)²
±√(1 + tan² θ) = 1 / cos θ
cos θ = ±1 / √(1 + tan² θ)
Plugging in:
cos θ = ±1 / √(1 + (-1/2)²)
cos θ = ±1 / √(1 + 1/4)
cos θ = ±1 / √(5/4)
cos θ = ±√(4/5)
Since θ is in the fourth quadrant, cos θ > 0. So:
cos θ = √(4/5)
Or, written in proper form:
cos θ = (2√5) / 5
a. 22. 79 - amount
b. 129 - amount
c. 358. 3 - base
d. 40. 65% - percent
e. 2. 58% - percent
<h3>
How to determine the values</h3>
It is important to note that a percentage is the number or ratio expressed as a fraction of 100.
It is denoted using the percent sign, "%"
a. What number is 53% of 43
= 53/ 100 × 43
= 0. 53 × 43
= 22. 79
b. 43% of 300
= 43/ 100 × 300
= 129
c. 12% of what number is 43
12/ 100 × x = 43
x = 43 × 100/ 12
x = 358. 3
d. 43 is what percent of 106
43/106 × 100/ 1
4300×/ 106
40. 5%
e. What percent of 43 is 6
43/ 100 × 6
2.58%
Thus, the percentage of a value is that value divided by 100
Learn more about percentage here:
brainly.com/question/24877689
#SPJ1
Answer:
d
Step-by-step explanation:
In my opinion the better buy would be 7 lbs for $12.95.... Hope this helps any^-^
