Answer:
1.02n
Step-by-step explanation:
A simplified version of this expression would be the following
1.02n
This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.
1.02n
1.02 * 10 = 10.2
n + 0.02n
10 + 0.02*10
10 + 0.2 = 10.2
Answer:
46.1 in
Step-by-step explanation:
Given data
Width= 30in
Height= 35in
To find the diagonal, we have to use the Pythagoras theorem
z^2= x^2+y^2
z^2= 30^2+ 35^2
z^2= 900+1225
z^2= 2125
z= √2125
z= 46.09
Hence the diagonal of the TV is 46.1 in
Answer:
5mm
Step-by-step explanation:
using the formula of volume of cone i.e. 1/3 ×πr²h
1/3 × πr²h = 314
or, r²= (314×3)/ (π×h)
or, r² = 25
r= 5 mm
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Answer:
19
Step-by-step explanation:
Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.
(3x - 5) + 90 + 2x = 180
5x + 85 = 180
5x = 95
x = 19
