Yup! We're all pretty good here.
Answer:
Commutative property
Step-by-step explanation:
This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.
(4)(2) = 8
(2)(4) = 8
Answer:
89.1° or -1.4°
Step-by-step explanation:
1. Location:
You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.
The French troops are about 50 m below you and 1.2 km distant.
2. Finding the firing angle
Data:
R = 1200 m
u = 600 m/s
h = -50 m (the height of the target)
a = 9.8 m/s²
We have two conditions.
Horizontal distance
(1) 1200 = 600t cosθ
Vertical distance
(2) -50 = 600t sinθ - 4.9t²
Divide each side of (1) by 600cosθ.
Substitute (3) into (2)
Recall that
(5) sec²θ = 1/cos²θ = tan²θ + 1
Substitute (5) into (4)
Set up a quadratic equation
Solve for θ
Use the quadratic formula.
tanθ = 61.249 or -0.025
θ = arctan(61.249) = 89.1° or
θ = arctan(-0.025) = -1.4°
Answer:
3 × 5 ^ n
Step-by-step explanation:
since the series is exponential, the ratio between adjacent terms is 5.
nth term of geometric/exponential series is given by:
nth term = first term × (ratio)^(n-1)
= 15 × 5^ (n-1)
= 15 × 5^n × 5^-1
= 3× 5^n
Perimeter of rectangle = all sides added
= 3+3+7+7 =20
volume of sphere = 4/3 x π x r(cubed)
= 4/3 x π X 4(cubed)
= 268.08257
area of triangle = base x height / 2
= 5 x 6 / 2
=30/2 =15
volume of pyramid = base height x base width x height / 3
= 300
side of triangle ---> use Pythagoras theorem so a(squared) + b (squared) = c(squared)
4(squared) + 3(squared) = c(squared)
16 + 9 = c(squared)
25 = c(squared)
c = 5
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