Answer:
x = 5.01%
y = 11.1
Step-by-step explanation:
Model:
50% of 120 is 60
Rate (%) = 50
Base (of) = 120
Percent (is, part) = 60
Thus, x in the first problem is the rate.
. Cross multiply, and we get:
x = 5.01
To check, multiply 5.01% × 60 = 3.006
For the second problem, multiply 10% with 111 to get the percent, which is 11.1
The value of sin(30°) is: One-half ⇒ 2nd answer
Step-by-step explanation:
In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles
- sine the acute angle (sin) = opposite side to it/hypotenuse
- cosine the acute angle (cos) = adjacent side to it/hypotenuse
- Tangent the acute angle (tan) = opposite side to it/adjacent side to it
In Δ QRS:
∵ m∠QRS = 90°
∵ SQ is opposite to ∠QRS
∴ SQ is the hypotenuse
∵ SQ = 10 units
∴ The hypotenuse = 10
∵ m∠RSQ = 30°
- The opposite side to ∠RSQ is RQ
∵ RQ = 5 units
∴ The opposite side to the angle of 30° = 5
∵ sin(30°) = opposite side to 30°/hypotenuse
∵ The opposite side to angle 30° = 5
∵ The hypotenuse = 10
∴ sin(30°) =
∴ sin(30°) =
The value of sin(30°) is: One-half
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/9880052
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Answer: The answer is D .
Step-by-step explanation:
Make "a" the subject of the formula.
Note the equal sign, what you do to one side, you do to the other.
Isolate the a. Add 2 to both sides
T = a - 2
T (+2) = a - 2 (+2)
a = T + 2
a = T + 2 is your answer
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9514 1404 393
Answer:
240 m²
Step-by-step explanation:
The lateral surface area is given by the formula ...
LA = πrs . . . . . cone with radius r and slant height s
The base area is given by the formula ...
BA = πr²
The total surface area is the sum of these:
SA = BA +LA = πr² +πrs = πr(r+s)
The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...
SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²