Answer:
1 point horizontally and 1 point vertically
Answer:
108 ft²
Step-by-step explanation:
Increasing by 50% means multiplying the original quantities by 1.5, that is
100% + 50% = 150% = 1.5 ( 100% is the original dimensions ), thus
new length = 1.5 × 8 ft = 12 ft
new width = 1.5 × 6 ft = 9 ft
Thus
Area = length × width = 12 × 9 = 108 ft²
Since Jackie has 1/3 and Steven has 4/12 we add them together
4/12+1/3= 2/3
Together they have 2/3 of a Hershey Bar
Answer:
UV = 4.5 (not rounded)
TV = 3√3
m∠U = 60˚
Step-by-step explanation:
UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.
sin(30) = 9/UV
9sin(30) = UV
4.5 = UV
TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.
tan(30) = 9/TV
9tan(30) = TV
3√3 = TV
m∠U = Sum of all interior angles of a triangle is 180˚:
90˚ + 30˚ = 120˚
180˚ - 120˚ = 60˚
Hope this helps :)
Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0
Here, a = 1, b = 3 and c = -4.
The formula for the discriminant is b^2 - 4(a)(c).
Substituting the given values of a, b and c, we get:
(3)^2 - 4(1)(-4)
Evaluating this, we get 9 + 16 = 25.
The discriminant is 25.
-3 plus or minus √25
Taking this further, x = ------------------------------------
2
-3 plus or minus 5
or: x = -------------------------------- => {-4, 1} (solutions)
2
