Answer:
x are 42 and 138degees
Step-by-step explanation:
Given the expression sin x = 0.6691
sin x = 0.6691
Take the sin inverse of both sides
sin⁻¹(sin x) = sin⁻¹(0.6691 )
x = sin⁻¹(0.6691 )
x = 41.99
x = 42 degrees (to the nearest degree)
Since sin theta is positive in the second quadrant;
x = 180 -theta
x = 180 - 42
x = 138degrees
Hence the value of x are 42 and 138degees
Answer:
y=1
Step-by-step explanation:
2y+5y-7=0
Combine y: 7y-7=0
Move 7 over: 7y=7
Divide by 7:y=1
Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.
Step-by-step explanation:
to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.
3:55+1 hour= 4:55
4:55+5 minutes= 5:00
5:00+30 minutes= 5:30
Add the times to find how long the movie was.
This is how I found how long the movie was.
To find out when Amar got home you have to do the same thing as well.
5:30+30 minutes= 6:00
6:00+15 minutes= 6:15
Hope this helps!
The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
<h3>
1) Define variables</h3>
Let the total weight of the 35 students be y kg and the weight of the new student be x kg.
<h3>2) Find the total weight of the 35 students</h3>
<u>
</u>
y= 35(45)
y= 1575 kg
<h3>3) Write an expression for average weight of students after the addition of the new student</h3>
New total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x
<h3>4) Substitute the value of y</h3>
<h3>5) Solve for x</h3>
36(44.5)= 1575 +x
1602= x +1575
<em>Subtract 1575 from both sides:</em>
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.
Answer:
B. 6x2+x+7
Step-by-step explanation:
combine like terms
3x^2+3x^2= <u>6x^2</u>
<u>x</u>
3+4=<u>7</u>
