<h3>
Answer: Yes, those sides form a right triangle</h3>
===================================================
Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
The height of the lighthouse is 44 feet.
<u>Step-by-step explanation:</u>
You are given more information than you need.
Use the right triangle concept,
A yacht is anchored 90 feet offshore
from the base of a lighthouse.
- Base = 90 feet
- Height = h feet
The angle of elevation from the boat to the top of the lighthouse is 26 degrees.
<u>Using one side length and the angle only: </u>
The trigonometric formula is given as,
tan = height / base
tan[26º] = h ⁄ 90
h = 90 × tan[26º]
h = 43.9 ft
h = 44 feet
Therefore, the height of the lighthouse is 44 feet.
The number 3 is in the tens place so you look at the 4. It is not higher than 5 so your answer is 930
Answer:
graph{3x+5 [-10, 10, -5, 5]}
x
intercept:
x
=
−
5
3
y
intercept:
y
=
5
Explanation:
For a linear graph, the quickest way to sketch the function is to determine the
x
and
y
intercepts and draw a line between the two: this line is our graph.
Let's calculate the
y
intercept first:
With any function,
y
intercepts where
x
=
0
.
Therefore, substituting
x
=
0
into the equation, we get:
y
=
3
⋅
0
+
5
y
=
5
Therefore, the
y
intercept cuts through the point (0,5)
Let's calculate the
x
intercept next:
Recall that with any function:
y
intercepts where
x
=
0
.
The opposite is also true: with any function
x
intercepts where
y
=
0
.
If we substitute
y
=
0
, we get:
0
=
3
x
+
5
Let's now rearrange and solve for
x
to calculate the
x
intercept.
−
5
=
3
x
−
5
3
=
x
Therefore, the
x
intercept cuts through the point
(
−
5
3
,
0
)
.
Now we have both the
x
and
y
intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them
The graph of the function
y
=
3
x
+
5
:
graph{3x+5 [-10, 10, -5, 5]}
Answer:10/2
Step-by-step explanation:
