Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
12x + 14 = 11x - 37
12x - 11x = -37 - 14
x = -51
you put all the x's on one side and everything else on the other side, and then solve the equation by simplifying
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Answer:
10 mm
Step-by-step explanation:
Using Pythagoras' identity with hypotenuse h
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
h² = 9² + (
)² = 81 + 19 = 100 ( take the square root of both sides )
h = 
= 10
3.50/5 = .70
.70x7 = 4.90
so 7 cakes cost 4.90 pounds.
