A triangle has a base of 16 inches and a height of 18 inches. What is its area?
1 answer:
Answer:
The answer is
<h2>144 square inches</h2>Step-by-step explanation:
Area of a triangle is given by
<h3>where
b is the base
h is the height
From the question
b = 16 inches
h = 18 inches
Substitute the values into the above formula and solve for the area
That's
<h3>We have the final answer as
<h3>144 square inches</h3>Hope this helps you
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Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:
Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Answer:
-1
Step-by-step explanation:
A function is represented by the following symbol f(x) where f(x) further represents y like this ,
so in this question they are asking what is f(5) which means when the value of x is 5 what is the value of y?
We can see in the graph when x = 5 the value of y is -1 to be exact so
f(5) = -1
or