Answer:
13. 7=108 degrees
14. 8=70 degrees
15. 8=38 degrees
16. 6=73 degrees
17. 6=80 degrees
Step-by-step explanation:
13. If 6=72 what is 7
Angles on a straight line add to 180
180-72=108 degrees
14. If 9 = 110 what of 8
Angles on a straight line add to 180
180-110=70 degrees
15. If 7 =142 what of 8
Angles on a straight line add to 180
180-142=38 degrees
16. If 9 =107 what of 6
Angles on a straight line add to 180
180-107=73 degrees
17. If 8=80 what of 6
Direct opposite Angel's are equal so 6 =80 degrees
Answer:
2.
Step-by-step explanation:
because if you look at it, the rest have a number that is continuously being added where as number 2. is being multiplied by 2.. hope this helps love<3
Answer:
The length of the arc is 7.536cm
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 6cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 6cm
c = 37.68cm
The length of the circumference is 37.68cm
Now we calculate the fraction that corresponds to this arc with the rest of the circumference
(2 pi /5) / (2pi) = 1/5
now we multiply the circumference by the fraction
37.68cm * 1/5 = 7.536cm
The length of the arc is 7.536cm
Answer: The height of the mountain is 1,331.4 meters (approximately)
Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.
The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;
Tan β = opposite/adjacent
Tan 59 = AC/800
Tan 59 x 800 = AC
1.6643 x 800 = AC
1331.44 = AC
AC ≈ 1331.4
Therefore the height of the mountain is approximately 1,331.4 meters
X = - b/2a
Solving for a,
a = -b/2x
If b is the numerator, the denominator is -2x
The second option is correct.
