Answer:
<em>0.02degrees </em>
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
<em>Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth</em>
Answer:
Point A (2.5, 14)
Step-by-step explanation:
The function for the charging fee, y, would be the initial $2 plus $4/hour for the charging time, x. This can be written as:
y = 4x + 2
Technically, both points A and C would not fall on theis line.
A: 2.5*4 + 2 = 12, not 12
C: at x = 0, there the equation still returns a $2 initial fee. So this should be (0,2) according to the equation. But it also makes sense to state that if the charging station is not used, there would be no charge. So a better way of expressing the equation would be to state that:
y = 4x + 2 for x > 0
Conclusion: Point A (2.5, 14) would not fall on this line.
Answer:
<em>Option: C. (6,7)</em>
Step-by-step explanation:
<u>Acute Triangle</u>
An acute triangle is a type of triangle with three angles that measure less than 90°. If one of the angles is 90°, then it's a right triangle.
In the given figure, we must find what point makes an acute triangle with the red colored segment. Let's analyze the options
The point (7,7) has the same x-coordinate as the right vertex, thus it will form a reight triangle, not an acute triangle
The point (8,5) would form an angle of more than 90°. It's not the correct option. The same situation applies to the point (2,4)
The only valid option is the point (6,7) because the x-coordinate is inside of the x-coordinates of the given segment.
Option: C. (6,7)
Answer:
1. 10
2.96
3.252
4.16
5.105
6.90
Step-by-step explanation: