Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
Answer:
-3 1/2 > -4.5
Step-by-step explanation:
1.5 > 2 1/2 False
1/2 > 0.5 False
-2.5 > -1.5 False
-3 1/2 > -4.5 True
1.5 > 2 1/2
1/2 = 0.5
2 + 0.5 = 2.5
1.5 is not > 2.5
1.5 < 2.5
1/2 > 0.5
1/2 = 0.5
0.5 is not > 0.5
0.5 = 0.5
-2.5 > -1.5
Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.
-2.5 is not > -1.5
-2.5 < -1.5
-3 1/2 > -4.5
1/2 = 0.5
3 + 0.5 = 3.5
-3.5 > -4.5
Answer:
p= 2
Step-by-step explanation:
So first you want to distribute the 6 to 3p-2 which basically means multiply
6(3p – 2) = 24
6 times 3p is 18 and 6 time -2 is -12
* remember a negative and a positive equal a negative*
18p-12=24
you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36
18p = 36
since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2
so p = 2
if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it was like 18 + p you can subtract because 18 and p arent together
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
3/20 is the same as 15/100 or 15%
so 10×3/20 would be the same as 10×15% or 150%
Is that what you were asking?
