Answer:
We must have two angles and a side.
A is the correct option.
Step-by-step explanation:
For any triangle ABC, the law of sine is given by
From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.
Let us understand this by assuming that we need to find a (length of the side). From the formula, we have
Thus, to find the length a, we must have b, sin A and sin B.
Hence, o find the length of the side of the triangle, we must have two angles and a side.
Answer:
Step-by-step explanation:
Let the numbers be x and y.
<u>The equations are:</u>
<u>Add up the equations to eliminate y and solve for x:</u>
- x - y + 2x + y = 2 + 13
- 3x = 15
- x = 15/3
- x = 5
<u>Now find the value of y:</u>
- y = x - 2
- y = 5 - 2
- y = 3
Answer: ∠AOB = 100°
Step-by-step explanation:
This is found in the circle geometry. The theorem in solving this stated that the angle which an arc of a circle subtends at the centre of the circle is twice that which it subtends at any point on the remaining part of the circumference of the circle
Therefore
∠AOB = 2 x ∠ACB
= 2 x 50°
= 100°
9514 1404 393
Answer:
- slant height: 2.1 cm
- pencil area: 51.12 cm^2
Step-by-step explanation:
The slant height (s) is the hypotenuse of the right triangle with legs of 2 cm and 0.5 cm.
s^2 = 2^2 + 0.5^2 = 4 + 0.25
s = √4.25 ≈ 2.0616 ≈ 2.1
The slant height is about 2.1 cm.
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The surface area of the whole pencil is the sum of the areas of the circular base, the lateral area of the cylindrical part, and the lateral area of the cone.
A = πr^2 +2πrh +πrs
A = πr(r +2h +s) = (3.14)(0.5 cm)(0.5 cm + 2×15 cm + 2.1 cm)
A ≈ 51.12 cm^2
The area of the whole pencil is about 51.12 cm^2.
