Answer:
41/5
Step-by-step explanation:
First we change the 8 and 1/5% to 8.2%
Write the fraction down as a number over one = 8.2/1
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
8.2/1 = (8.2 × 10)
(1 × 10) = 82/10
Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.
Complete question is;
The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?
Answer:
csc θ = -13/12
Step-by-step explanation:
We know that in a unit circle;
(x, y) = (cos θ, sin θ)
Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;
cos θ = -10/26
sin θ = -24/26
Now we want to find csc θ.
From trigonometric ratios, csc θ = 1/sin θ
Thus;
csc θ = 1/(-24/26)
csc θ = -26/24
csc θ = -13/12
Answer:
Step-by-step explanation:
4*(x + 5) + 8x = 4*x + 4*5 + 8x
= 4x + 20 + 8x
= 4x + 8x + 20
= 12x + 20
<u>Given</u>:
Given that the radius of the cylinder is 6 m.
The height of the cylinder is 7 m.
We need to determine the surface area of the cylinder.
<u>Surface area of the cylinder:</u>
The surface area of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting r = 6 and h = 7 in the above formula, we get;
Simplifying, we get;
Multiplying, we get;
Thus, the surface area of the cylinder is 489.84 square meters.
Hence, Option a is the correct answer.
30 students in a class, and 16 boys and 14 girls.
A ratio compares two quantities.
A) 14:16
B)16:14
C) 14:30
D)16:30
