Answer:
a=8
b=5
x=13
Step-by-step explanation:
Use Pythagoras's Theorem to find A
h²=y²+z²
10²=a²+6²
100=a²+36
∴a²=64
∴a=8
Use Pythagoras's Theorem to find A
h²=y²+z²
9²=b²+6²
81=b²+36
∴b²=45
∴b=3√5
x=a+b
=8+3√5
Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
1. 15
2. 9/14
3. 5/8
4. 2
5. 8.4*10 exponent -3
6. 90
7. 0.0025
8. -60
9. 15
For 9 I’m not that sure but I’m guessing it’s an absolute value question???
Btw can I have brainliest? Lol
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
Answer:
-3/4
Step-by-step explanation:
rise is three run is four
