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:
x = 12
Step-by-step explanation:
Supplementary angles, sum = 180
10x - 20 + 6x + 8 = 180
16x - 12 = 180
16x = 192
x = 12
<u>Answer</u>
-5/3, -1, 0.7, √2, √5
<u>Explanation</u>
√5 = 2.236
-1 ⇒ this is less than 1.
-5/3 = -1.666667 this is less than 1. -5/3 < -1
0.7 > -1
√2 = 1.414 ⇒ √5 > √2
Arranging them from the least to the greatest;
-5/3, -1, 0.7, √2, √5
Answer:
one that fits
Step-by-step explanation:
#Bird+10 so #dog=2(#birds+10)
Answer:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;
Substitute in the given information and solve;
arc = 
arc = 
arc ~ 10.02
