The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
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Answer:
The slope of the line between these two points is 1.50.
Step-by-step explanation:
The general form of the regression line is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>m</em> = slope
<em>c</em> = intercept.
The formula to compute slope using two-point method is:

In this case the dependent variable is the cost per week to feed and independent variable is the weight of the hamster.
The two points are:
(<em>x</em>₁, <em>y</em>₁) = (3, 3.50)
(<em>x</em>₂, <em>y</em>₂) = (4.8, 6.20)
Compute the slope as follows:




Thus, the slope of the line between these two points is 1.50.
If the diameter is 10 the radius is 5 and the formula for area of a circle pie r squared so it be
The quadrants are as follows:
The 1st quadrant has the points which have both x and y positive and the 3rd quadrant has the points which have both x and y negative. If the ordered pair and the same x and y value, if ons is positive, the other also is, and the same for negative.
So, at first we see that there are point where the x and y are the same and that are in the 1st or 3rd quadrant.
However, there is one special case:
When x and y are 0, that is, the ordered pair is (0, 0).
Since this point is the origin, it doesn't lie on any of the quadrants.
Thus, this affirmative is sometimes true. Every point but (0, 0) that have same x and y values are in the 1st or 3rd quadrant except for (0, 0).
Answer:
Step-by-step explanation:
Option B
Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.