Answer:
The length of the diagonal of the frame equal 17 inches
Step-by-step explanation:
The diagonal dividing the rectangle as made the rectangle 2 triangles
So according to Pythagoras Theorem,
Hypothenus² = opposite² + adjacent²
The diagonal lent is the Hypothenus.
so the two other sides are taking as opposite and adjacent respectively
so taking h as hypothenus,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17
The area of the square is calculated through the equation,
Area = e²
where e is the measure of sides.
From the given,
64 = e²
e = sqrt 64 = 8 inches
The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.
radius = 8 inches / 2 = 4 inches
Thus, the radius of the cylinder is equal to <em>4 inches</em>.
There's a simple formula for the area of an ellipse: pi*a*b, where a and b are , half the lengths of the long axis and the short axis respectively.
Here, A = pi*(12 ft)(4 ft) = 48 pi ft^2, or about 150.8 ft^2.
Given:
The inequality is:

To find:
The graph of the given inequality.
Solution:
We have,

Subtract both sides by 1.


Divide both sides by 3.

The value of t is less than or equal to
.
Since
, it means
is included in the solution, therefore there is a closed circle at
and an arrow approaches to left from
.
Therefore, the correct option is A.
Answer:8.56
Step-by-step explanation: