Answer:
See explanation, and comment for more details!
Step-by-step explanation:
10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.
11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.
12.
a. x=3, y=4, z=5
b. 
c.
Hope this helps!
Hi there! The fourth answer is correct.
In the picture we have to deal with facts:
1. The angle of 45°
2. The length of the opposite side
3. The length of the adjacent side.
Since we have to use the opposite and the adjacent side, we have to use the tangent of the angle. In a formula:
Filling in this formula, brings us to the following answer.
Answer:
X = 10 and X = -4
Step-by-step explanation:
(x-3)^2-38=11
(x-3)^2 = 11 +38
(x-3) ^2 = 49
Taking square root on both sides
√(x-3) ^2 = √ 49
X-3 = +7, -7
X = 7 +3, X= -7+3
X = 10 X = -4
So, it has got two solutions
Answer:
Step-by-step explanation:
When you find the volume of prisms, you're essentially taking the area of the base and multiply it by the length, in varied orientations.
In this case, I'd start by finding the area of the parallelogram facing us.
The formula for a parallelogram's area is the same as a rectangle's:
A = b x h
In this case, h = 3 cm and b = 8 cm.
A = 24 cm²
Now, you multiple the area by the length of the parallelogram, which is 8 cm.
V = 24 cm² x 8 cm
= 192 cm³
I hope this helps!
Answer:
Step-by-step explanation:
What are the Derivatives of the 6 Trig Functions?
Derivation of sin x: (sin x)' = cos x.
Derivative of cos x: (cos x)' = -sin x.
Derivative of tan x: (tan x)' = sec2 x.
Derivative of cot x: (cot x)' = -cosec2 x.
Derivative of sec x: (sec x)' = sec x. tan x.
Derivative of cosec x: (cosec x)' = -cosec x. cot x.
