Answer:
Solving the inequality 
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:
So, solving the inequality we get
The graph of the inequality is shown in figure attached.
The number is 6400.
We have given that,
divided 80 by my number, and then added 13.
<h3>What is the expression?</h3>
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Suppose the number is x
Subtract 13 from both sides
Multiply both sides by 80
x=6400
Therefore the number is 6400.
To learn more about the number visit:
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<h2>
Answer:</h2>
<u>Distance = 360.55 m</u>
<u>Direction = North-East</u>
<h2>
Step-by-step explanation:</h2>
In the question,
The adventurous dog starts from O, say.
He moves 3 blocks East = 300 m
then,
2 blocks North = 200 m
1 block East = 100 m
1 block North = 100 m
2 blocks West = 200 m
So,
Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>
OE is given by,
In triangle OLE, using Pythagoras theorem,
<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>
Which of these is equal to cos 47°?
a. cos 43°
b. sin 43°
c. tan 43°
d. cos 133°
B.....
cos (47°)= sin (90°-47°)=sin (43°) [complementary angles]
Answer B
