Answer: Side a equals 19.5 metres
Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.
A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).
Cos B = Adjacent/Hypotenuse
Cos 43 = a/26.7
Cos 43 x 26.7 = a
0.7314 x 26.7 = a
19.52714 = a
a ≈ 19.5 (rounded to the nearest tenth)
Therefore the length of side a equals 19.5 metres.
Answer:
74676.
Step-by-step explanation:
Lets try multiplying 127 by 294 ( 127 is a prime number):
127 * 294 = 37338.
37338 / 196 = 190.5
37338 * 2 = 74676 which will now be divisible by 196.
74676 will be divisible by 98, 49 and 7 (because they are factors of 196).
It is also divisible by 84 ( to give 889) and therefore by 42, 28, 21, 14, 12, 6, 4, 3 , 2 and 1 which are all factors of 84.
Answer:
The lcm is 48. Hope this helps
Answer:
3 1/3 miles The answer is D
Step-by-step explanation:
The first trip to school is 5/6 miles. Multiply that by 2 because she also walked home and you get 10/6. Then add the distance she she walked to the library- which simplifies to 5/6 and you get 20/6. That simplifies to 3 1/3.
Answer:
All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65° hope this helps you
Step-by-step explanation:
