The question asks us to find the area of a triangle. First, before we do anything, we need to state the formula for the area of a triangle, which is
, where
is the base and
is the height. In this scenario, we are given the length of the height, which is
. We need to find the length of KL, which is the base. We can see that this triangle is a 30, 60, 90 degree triangle, meaning that it has some special properties. First off, it means that the hypotenuse is two times the side opposite to it, which in this case is that AL (the hypotenuse) is two times the length of AK, which is the side opposite to it. Thus, the length of the hypotenuse is
. Now, we can use the Pythagorean Theorem to find the length of the base.
Now that we found all the required values for the formula, just plug it in and solve. When we do so, we get that the area is
. Hope this helped!
Answer:
3/2
Step-by-step explanation:
count up 3 count right 2, 3/2
It is answer b!!! hope this helps
The length of the shorter rope is 20 cm.
<h3>How to find the original length of the rope using ratio?</h3>
He cut a rope into two pieces with lengths having a ratio of 5 to 2.
The shorter piece is 70 cm long.
The length of the original rope can be calculated as follows:
The ratio of the length of the rope is as follows;
5 : 2
let
x = length of the original rope
Therefore,
length of shorter piece = 2 / 7 × 70
length of shorter piece = 2 / 7 × 70
length of shorter piece = 140 / 7
length of shorter piece = 20 cm
Therefore, the length of the shorter rope is 20 cm.
learn more on ratio here: brainly.com/question/15418103
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Answer:
Slope = 6.25
Y-intercept = 8.50 or 8.5
Equation: y = 6.25x + 8.50 or y = 6.25x + 8.5
Proportional = No
Step-by-step explanation:
The slope is also the rate of change and the question states that Kayla earned $6.25 an hour. So your slope also known as rate of change is 6.25.
Your y-intercept is the starting point and in the question it states that Kayla received $8.50 in tips. So your y-intercept also known as starting point is $8.50.
The Equation is meant to be set-up like this:
y = mx + b which is y = slope + y-intercept
Since $6.25 is our slope and $8.50 is our y-intercept lets arrange it:
y = 6.25x + 8.50
A proportional graph is a graph that has the line drawn from the equation going through the origin which is (0,0) the middle intersection between the y and x line. So with that being said the graph is not proportional because it doesn't go through the origin.
How do I know this?
I know this because the starting point in the equation that I graph is 8.50 or 8.5 and it does not start from (0,0) or 0 so it does not cross the (0,0) point.
