For the brownie one it’s C
For the train one it’s B
For the flour one it’s C
Answer:
44°
Step-by-step explanation:
8x - 4 = 6x + 8 (This is because they are corresponding angles)
8x - 6x = 8 + 4
2x = 12
x = 12 ÷ 2
x = 6
6x + 8 = angle 1 (Vertically opposite angles are equal)
Substitute the value of x in the equation '6x +8' to get the size of the angle.
6 × 6 + 8
36 + 8 = 44°
Angle 1 = 44°
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
Answer:
300
Step-by-step explanation:
3x 10 2 power
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
