The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>
The equal fraction is 7/10
Answer:
£159.82
Step-by-step explanation:
Decrease of 39% of £262
39/100 × £262
0.39×262
102.18
So the decrease will be
262-102.18
159.82
So the final answer is £159.82
Answer:
Function 
is shifted 1 unit left and 1 unit up.
Transformed function 
Step-by-step explanation:
Given:
Red graph (Parent function):
Blue graph (Transformed function)
From the graph we can see that the red graph is shifted 1 units left and 1 units up.
Translation Rules:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
If the function shifts units to the up.
If the function shifts units to the down.
Applying the rules to
The transformation statement is thus given by:
As function is shifted 1 unit left and 1 unit up.
Transformed function is given by:
Answer:
inches
Step-by-step explanation:
a^2+b^2=c^2
10^2+20^2=c^2
100+400=c^2
c^2=500
