Answer:
y=4
Step-by-step explanation:
<h3>The triangle is divided further into 2 right triangles. So ignore the left one.</h3><h3>We know the angle of elevation is 30° and the hypotenuse is 8.</h3><h3>Looking at SOH CAH TOA we use the sine ratio in trigonometry because we have to find the side opposite to the angle given and we know the hypotenuse. </h3><h3>It is: sin 30 = y/8</h3><h3>y= 8 sin 30</h3><h3>y=4</h3>
From greatest to least it goes |-34| , |26| , -|-20| , -23 , -|28|
Answer:
The lateral area = 450 mm²
Step-by-step explanation:
The lateral area of any prism is equal to the areas of the sides faces
∵ The base of the prism is triangle
∴ It has 3 side faces
∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15
∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)
= 75 + 180 + 195 = 450 mm²
Divide both sides by 5
e^x=3.152 take the natural log of both sides...
x=ln(3.152)
x≈1.148
Answer:
<h2>
Function is
y = x.</h2><h2>
Domain: 
.</h2><h2>
Range: 
.</h2>
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is
, where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get
and 
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is
.
Range is 