Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer:
B. 2.2π m² : 3.2π m²
Step-by-step explanation:
Given:
Slant height (l) = 2.2 m
Diameter (d) = 2 m
Radius (r) = ½(2) = 1 m
Required:
Lateral area and surface area
Solution:
✔️Formula for lateral area of a cone = πrl
Plug in the values
Lateral area of the cone = π*1*2.2
Lateral area = 2.2π m²
✔️ Formula for surface area of a cone = πr(l + r)
Plug in the values
Surface area of the cone = π*1(2.2 + 1)
Surface area = π(3.2)
Surface area = 3.2π m²
The answer would therefore be:
2.2π m² : 3.2π m²
Answer:
2 times 5 times 5 times 5 times 5
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
Answer:
(15x-2)°+( 7x+4)°=90° --> 15x-2°+7x+4°=90° --> 22x+2°=90° --> 22x=90°-2° --> 22x=88° --> x=88/22 --> x=4.
m/_BAC=(15x-2)°=15×4-2 =58°
m/_CAD=(7x+4)°=7×4+4= 32°.
