Step-by-step explanation:
115 = 5x + 15
115 - 15 = 5x
100 = 5x
20 = x
Area=pi times radius^2 so
if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative
radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4
Answer:
See the procedure
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
a,b,c the lengths side of triangle
c is the greater side
The perimeter is equal to
P=a+b+c
P=36 cm
If c=18 cm
then
a+b=18
Applying the Triangle Inequality Theorem
a+b > c
18 > 18 ----> is not true
therefore
Principal Aranda is incorrect
The larger side cannot measure 18 cm
The largest side must be less than 18 cm
Answer:
sin(x) = cos(y)
Step-by-step explanation:
Let's figure out what sin(x) and cos(y) are before we figure out the relationship.
Sine is opposite / hypotenuse. Here, the opposite side to angle x is 12 and the hypotenuse is 13. So, sin(x) = 12/13.
Cosine is adjacent / hypotenuse. Here, the adjacent side of angle y is 12 and the hypotenuse is 13. So, cos(y) = 12/13.
Now we can see the relationship: sin(x) = cos(y)
In fact, for any right triangle with angles 90°, α°, and β°, where α and β can be any angle degree that add up to 90, the following relationships are true:
sin(α) = cos(β)
and
sin(β) = cos(α)
