Answer:
C) 3/5
Step-by-step explanation:
Have you heard of this way to memorize the trig ratios?
SOH-CAH-TOA (Say it out loud so you remember it.)
It represents these ratios:
Sine = opposite side / hypotenuse
Cosine = adjacent side / hypotenuse
Tangent = opposite side / adjacent side
In this problem, cos C = adj / hyp = BC / AC = 24 / 40.
That simplifies to 3/5
Answer:
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Step-by-step explanation:
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12 gallons = 96 us liquid pints.
Answer:
Part 1) The quadratic equation has zero real solutions
Part 2) The solutions are
and
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
The discriminant is equal to

If D=0 -----> the quadratic equation has only one real solution
If D>0 -----> the quadratic equation has two real solutions
If D<0 -----> the quadratic equation has two complex solutions
<em>Find the value of D</em>
-----> the quadratic equation has two complex solutions
<em>Find out the solutions</em>
substitute the values of a,b and c in the formula
Remember that

Answer:
Conversion a mixed number 16 3
8
to a improper fraction: 16 3/8 = 16 3
8
= 16 · 8 + 3
8
= 128 + 3
8
= 131
8
To find new numerator:
a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8
8
= 128
8
b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131
c) Write previous answer (new numerator 131) over the denominator 8.
Sixteen and three eighths is one hundred thirty-one eighths
Conversion a mixed number 9 5
8
to a improper fraction: 9 5/8 = 9 5
8
= 9 · 8 + 5
8
= 72 + 5
8
= 77
8
To find new numerator:
a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8
8
= 72
8
b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77
c) Write previous answer (new numerator 77) over the denominator 8.
Nine and five eighths is seventy-seven eighths
Subtract: 131
8
- 77
8
= 131 - 77
8
= 54
8
= 2 · 27
2 · 4
= 27
4
The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27
4
.
In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.
Step-by-step explanation: