Answer:
angle of depression ≈ 53.8°
Step-by-step explanation:
the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.
this angle is alternate to ∠ A and is congruent to ∠ A
using the sine ratio in the right triangle
sin A = 
= 
, then
∠ A = 
( ) ≈ 53.8° ( to 1 d.p )
Angle of depression ≈ 53.8°
Answer:
2 loaves of blueberry bread
Step-by-step explanation:
for 1 loaf of bread she uses 1 cup
for 2 loaves she will use 2 cupa
Perimeter is the sum of all a shapes sides.
with that in mind, we know a rectangle has four sides. with 2 pairs being the same.
The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5
now to find the perimeter we do two times the width + two times the length.
2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.
with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.
2(15) - 5 = 30 - 5 = 25.
Slap on the units and width = 15 cm, length = 25 cm
Answer:Point and line
Step-by-step explanation:
The formula for circumference is C = 2πr.
The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.
C = 2πr
C/2π = r
r = C/2π
Now you can plug 96 for C and solve to find r.
r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29
Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.
