I'm pretty sure that 20 students would be the answer
Answer:
-6.13406 and 61.13406
Step-by-step explanation:
x + y = 55
x × y = -375
y = 55 - x
x × (55 - x) = -375
55x -x² = -375
x² - 55x - 375 = 0
solution of a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
a=1
b=-55
c=-375
x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =
= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =
= 5/2 × (11 ± sqrt(181)) =
= 61.13406... or -6.13406...
y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =
= -6.13406... or 61.13406...
Answer:
Arc BC is 64°
Step-by-step explanation:
The parameters given are;
∠CAB = 32°
We note that the measure of arc BC = ∠CDB
∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)
∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)
∠ACB = ∠DCB + ∠DCA
∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°
∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)
∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)
∠CDB = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°
∠CDB = Arc BC = 64°
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
Answer:
Value of X is 11
Step-by-step explanation:
hope it helps