Think of the space created with the diagonal line like a triangle. There are three sides. the longest side, the diagonal line is 32 inches. one of the other sides is 15.7 inches. Using Pythagoras theorem, we know that a^2 + b^2 = c^2, where c is the longest side of the triangle (32inches) and either a or b is 15.7inches. let's say that a is 15.7 inches. if we substitute these values we just assigned to a and c into Pythagoras' theorem above, we get 15.7^2 +b^2 = 32^2. we can simplify this to 246.49 + b^2 = 1024. We then subtract 246.49 from both sides of the equation to get b^2 = 777.51. we then square root both sides of the equation to get b = 27.88 (rounded to 2 decimal places). because b is the width of the TV, the width of the TV is 27.88 inches.
Answer:
x ≤ $50 - $13
x ≤ $37
Step-by-step explanation:
please kindly check the attached file for explanation⇒
Answer:
goldfish is 15 and guppies is 11
Step-by-step explanation:
Given data
let the number of goldfish be x
and the number of guppies be y
so
x+y= 25----------1
and
3x+4y= 86-------2
solve 1 and 2
x+y= 25
3x+4y= 86
from 1
x= 25-y
put this in 2
3(25-y)+4y= 86
75-3y+4y= 86
75+y= 86
y= 86-75
y=11
put y= 11 in 1
x+11= 26
x= 26-11
x= 15
Hence goldfish is 15 and guppies is 11
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A
C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
