The ratio of cos Z is cos Z = 3 / 5
<h3>How to find the trigonometric ratios of a right triangle?</h3>
A right triangle has one angle of the triangle as 90 degrees.
The sides of the right triangle can be found using trigonometric ratios.
Therefore,
sin ∅ = opposite / hypotenuse
sin Z = 3 / 5
Using Pythagoras theorem,
c² = a² + b²
5² - 3² = b²
b² = 25 - 9
b² = 16
b = √16
b = 4
Hence,
P + A = 90 degrees (complementary angles)
Therefore,
sin P = cos Z
cos Z = 3 / 5
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Answer:
$6.40
Step-by-step explanation:
2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640
Amount in compound interest = p(1 + r/t)^nt where p is the initial
deposit, r = rate, t = number of compunding in a period and n = period.
Here,
Amount after 6 months (0.5 year) = 1,950(1 + (4.25/100)/4)^(0.5 x 4) = 1,950(1 +
0.0425/4)^2 = 1,950(1 + 0.010625)^2 = 1,950(1.010625)^2 = 1,950(1.0213629) =
$1,991.66
Compound interest = Amount - principal (initial deposit) = $1,991.66 - $1,950 = $41.66
Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Answer
925 students brought their lunch.
Explanation
First let's rewrite the equation.
You know that "of" means multiply and "is" means equal.
Okay, so let's break it down.
The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."
This means that 74% of 1250 students brought their lunch at the cafeteria.
You are trying to find how many students brought their lunch. This will be x.
So the equation would be this.
74% × 1250 = x
74% is 0.74.
0.74 × 1250 = x
0.74 × 1250 = 925
So 925 students brought their lunch.