Answer:
Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.
Hope this helped!
If you would like me to simplify it a little let me know.
Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then

where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.



Now, since we know our constant, let find p.

Q is 5, and r is 2.



Answer:
Area = 342
, Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length =
(4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) =
(4 is the arm length) = 320 
Square area = side * side = 4 * 4 = 16 
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6
So total area is 320 + 16 + 6 = 342
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.