Answer: y should be in the interval (0.4, 4)
Explanation:
The binomial 5y - 7 is in the interval (-5, 13) if and only if
-5 < 5y - 7 < 13
Solving the inequalities in this form is the same as solving equation. So, we add all sides of the inequalities by 7 so that
2 < 5y < 20
Then, we divide both sides by 5 to get the following inequalities
0.4 < y < 4
Hence y should be in the open interval (0.4, 4).
Answer:
square
Step-by-step explanation:
Hey there!
To start, none of these triangles appear to have a given height, only a given angle. Another thing to notice is that neither of these triangles are right. This means that you would need to use the function of sine to calculate the area of the triangle.
First, you know that the sine triangle area formula is:
A= 1/2*side*side*sin(given angle)
Knowing that the area of ΔABC is 30, the sides given are x and y, and the angle is 70, you can set up this equation:
1/2*xy*sin(70)=30
Now, solve for xy:
2(1/2*xy*sin(70)=30)
=xy*sin(70)=60
=xy=60/(sin(70))
Now, use the same formula to solve for the area of ΔPQR knowing that xy=60/(sin(70)).
1/2*60/(sin(70))*sin(110)
=30 cm squared
Therefore, the correct answer would be 30.
Hope this helps!
It is 3y2-10y-8
hope this helps :)
