Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Answer:
5
Step-by-step explanation:
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413
Hope this helps :)
Given:
420 tropical fishes
angel fish = x
parrot fish = 6x
x + y = 420
y = 6x Choice D.
x + y = 420
y = 6x
x + 6x = 420
7x = 420
x = 420 / 7
x = 60 number of angelfish
y = 6x
y = 6(60)
y = 360 number of parrot fish
Angle Z is congruent to angle C, so angle C measures 4x+8
the sum of the three angles of a triangle is 180, so
50+2x+40+4x+8=180
6x++98=180
6x=82
x≈13.67
