The two similar triangles in the figures are:
a) ABC
b) ADE
For triangle ABC, the two sides are x and 6.
For triangle ADE, two corresponding sides are (x+8) and 8
For similar triangles, the ratio of corresponding sides is the same.
So, we can write:
Thus, the value of x will be 24
Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
Answer:
0.0105
Step-by-step explanation:
given that 30% of all houses need a paint job. Also, 15% of all houses need both a paint job and a new roof. Further, 7% of all houses that need a new roof also need new windows.
If total houses are 100, then 30 require a paint along. 15 require both paint and new roof.
Out of 15 houses which require new roof 7% need new windows
i.e. no of houses which need new windows = 
If there are total 100 houses, 1.05 houses require a new window
So probability that a randomly selectede house needs a new window
= 0.0105
<span> The larger the numerator, the larger the fraction.
3/4 is bigger then 1/4.
You could also draw a model :D
Your answer is <em>no.</em>
</span>
Answer:
Step-by-step explanation:
We are given that
Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by
Using the rule then we get
By using
Substitute x=-1
Substitute x=0
Therefore, is true.
