Answer:
para un diámetro de 40 cm el perímetro es de 125.66 cm,
Answer:
sin x = 3/5
cos y = 3/5
sin x and cos y are equal
Step-by-step explanation:
First we need to find the length of the hypotenuse
We can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 +8^2 = c^2
36+64 = c^2
100 = c^2
Taking the square root
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Since this is a right triangle we can use trig functions
sin x = opp side/ hypotenuse
sin x = 6/10 = 3/5
cos y = adj / hypotenuse
cos y = 6/10 = 3/5
sin x and cos y are equal
Answer:D
Step-by-step explanation:
D, the X values repeat for 7.
Given:

To find:
The simplified rational expression by subtraction.
Solution:
Let us factor
. It can be written as
.
using algebraic identity.

LCM of 
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.

Now, denominators are same, you can subtract the fractions.

Expand
.



The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).