Answer:
3: 200, 200
4:800
5:400
Step-by-step explanation:
:)
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,



AC = 
AC = 3.17 miles

AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.
Answer:
The complex number
belongs to the third quadrant of the complex plane.
Step-by-step explanation:
Let be
. In the complex plane, if
(real component) and
(imaginary component), the number belongs to the third quadrant of the complex plane. The complex number
belongs to the third quadrant of the complex plane.
Answer:
a)5/9 yards=0.556yards
b)10/9 yards=1.11 yards
Step-by-step explanation:
for the part a
To solve this exercise we must divide the total distance traveled by the grasshopper (5 yards) by the number of jumps that were made (9).

if you use the calculator you will realize that the value is 0.55yards
for the part b
knowing the distance traveled in a jump, we multiply this value by two to find out how much is the distance traveled in 2 jumps

if you use the calculator you will realize that the value is 1.11 yards
In order of the questions:
Q1: -1/2
Q2: -3/4
Q3: -10
Q4: -13
Q5: 21
In order from smallest to largest:
Q4 Q3 Q2 Q1 Q5