Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Answer:
(1.35, 1.6)
Step-by-step explanation:
The area of the paper is the amount of space it occupies.
The length of papers around the edge is 1607680 cm
The given parameters are:


The area of the circle head is:

So, we have:

Substitute known values



The length of the paper is then calculated as:

This gives



Hence, the length of papers around the edge is 1607680 cm
Read more about areas at:
brainly.com/question/2264643
Answer:
3695.5 m
1530.73 m
Step-by-step explanation:
Given in the question,
The distance probe travels at an angle of depression 67.4 from the ship to the ocean surface = 4000m
We will use trigonometry identities
<h3>sinФ = opposite / hypotenuse</h3><h3>cosФ = adjacent/ hypotenuse</h3>
1)
distance of probe from top of sea to surface = x
cos(90 - 67.5) = x / 4000
x = 3695.5 m
2)
horizontal distance from ship to probe = y
sin(90-67.5) = y / 4000
y = 1530.73 m