Answer:
Step-by-step explanation:
First we need the length of the hypotenuse.
20^2 + 21^2 = c^2
400 + 441 = c^2
841 = c^2
29 = c
If you are using angle B as your theta (angle from which the relations are formed:
a) sin = O/H = 20/29
b) cos = A/H = 21/29
c) tan = O/A = 20/21
Answer:
The resulting power density is enough to melt the metal.
Step-by-step explanation:
Given data:
Power = P = 3000 J/sec
diameter = d = 3.5 mm
Solution:
As we Know that Area = A = π r² ---- (1)
where r is radius.
Also Radius = 
Putting the values of radius, π = 3.14 in equation 1, we get
A = 3.14 x (
)²
A = 3.14 x (3.5/2)²
A = 9.62 mm²
As 75% of heat is concentrated in circular area then Power P becomes
P = 3000 J/sec x 75 %
As J/sec = Watt = W and 75 % = 3/4
so P = 3000 W x 3/4
P = 2250 W
As power density is represented by the formula:
Power density = PD = P/A
where P is Power and A is area.
So,
PD = P/A
Putting the values of Power and Area in above equation, we get
PD = 2250 W / 9.62 mm²
PD = 234 W/mm²
So, this power density is sufficient to melt the metal.
Answer:
x = 3.5; perimeter = 59; area = 8
Step-by-step explanation:
isosceles means the two legs equal each other so use same expression later on
6x + 8 = 2x - 6
6x - 2x = -8 - 6
4x = -14
x = 3.5
plug x value in the first expression to find the two sides that are equivalent to each other
6(3.5) + 8
21 + 8
29
plug x value into the second expression (the base)
2(3.5) - 6
7 - 6
1
perimeter = side 1 + side 2 + side 3
perimeter = 29 + 29 + 1
perimeter = 59
area = base × height/2 or bh/2
first plug in x value into height expression
4x + 2
4(3.5) + 2
14 + 2
16
area = 1 × 16/2
area = 16/2
area = 8
Answer:
32
Step-by-step explanation:
g(x) = 4x² - 3x + 7
g(3) = 4(3)² - 3(3) + 7
g(3) = 4(9) - 9 + 7
g(3) = 36 - 9 + 7
g(3) = 25 + 7
g(3) = 32