Answer:
It's answer is 8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = x = ?
We know by using Pythagoras theorem
p = √ h² - b²
= √ 10² - 6²
= √ 100 - 36
= √ 64
x = 8
Hope it will help : ) ❤
Answer:
x=-4
Step-by-step explanation:
(x+4) ^ (1/3) + (2x+8) ^ (1/3) = 0
Subtract (x+4) ^ (1/3) from each side
(x+4) ^ (1/3) - (x+4) ^ (1/3)+ (2x+8) ^ (1/3) = -(x+4) ^ (1/3)
(2x+8) ^ (1/3) = -(x+4) ^ (1/3)
Cube each side
(2x+8) ^ (1/3) ^3= -(x+4) ^ (1/3)^3
2x+8 = -(x+4)
Distribute the negative sign
2x+8 = -x -4
Add x to each side
2x+8 +x =-x+x-4
3x+8 = -4
Subtract 8 from each side
3x+8-8 =-4-8
3x =-12
Divide by 3
3x/3 = -12/3
x = -4
45 is my first choice answer
Answer:
Y = 28.31
Z = 13.29
Angle A = 28
Step-by-step explanation:
For Angle A:
Remember a triangle has a total of 180 degree angles. So set up your formula as
180 - 62 -90 = Angle A
For Y:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin (B) = opp/hyp or b/c or (y)
sinB = 62
b = 25
Rewrite as c=b/2SinB -> c=25/sin62 -> Y = 28.31
For Z:
Use the Pythagorean theorem to find the unknown side.
z = 13.29
Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
