Answer:
See explanation
Step-by-step explanation:
Given
--- scale factor
See attachment for triangles
Solving (a): The relationship between the angles of both triangles
The sine of an angle is:
By comparing the above to
Using Pythagoras theorem:
So, we have:
Collect like terms
Take square roots
--- approximated
For angle X, we have:
So, the relationship between both triangles are:
Solving (b): How to find CB and AB
In (a), we have:
For angle X, we have:
This implies that:
is dilated by scale factor 2 to give
So, CB and AB of are:
Answer: is 36
Step-by-step explanation:
Answer:
30 or 30/1
Step-by-step explanation:
keep flip change
keep the first fraction the same, the second fraction Flipped and change the sign
18×25
5×3
=450/15
=30
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
Answer:
P = F / A = 80 N / (0.0045 m^2) = 17778 N/m^2