Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = 
- 20°
= 
Applying the appropriate trigonometric function, we have;
Tan θ = 
Tan = 
⇒ x = 10 x Tan
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
We can set Maggie's age to x
If her brother is six years younger than four times her age, than her brother must be equal to: 4x-6
Since the sum of their ages is 39, we can set up an equation.
(Sum of Maggie's age) + (sum of Maggie's brother's age) = 39
x + (4x -6) = 39
5x -6 = 39
5x = 45
x = 9 , Maggie's age is 9
Idk if this helped you but , symmetric forms a mirror image of itself when reflected in its vertical line ( u shape ) and symmetric bell shaped is when you draw the vertical line at the center
Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.
Answer:
First picture: 60
Second picture:
Step-by-step explanation:
The first step for the first picture is to find the area of the triangle on top. In order to do that, we have to use the equation: (W*L*1/2)
(3*4*1/2)=6
Then, we multiply the above equation by the Height. Which makes the equation become 60.
The first step for the second picture is the same. We first find the area of the triangle on top.
(12*9*1/2)=54
Then we multiply the height by our above answer.
(54*20)=1,080
The other measurements that were there aren't needed. So, next time, completely ignore them!
Hope you have a good day/night! Good luck!
