Given:
The inequality is:
![-20t>-80](https://tex.z-dn.net/?f=-20t%3E-80)
To find:
The solution for the given inequality and graph of it.
Solution:
We have,
![-20t>-80](https://tex.z-dn.net/?f=-20t%3E-80)
Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.
![\dfrac{-20t}{-20}](https://tex.z-dn.net/?f=%5Cdfrac%7B-20t%7D%7B-20%7D%3C%5Cdfrac%7B-80%7D%7B-20%7D)
![t](https://tex.z-dn.net/?f=t%3C4)
Therefore, the solution for the given inequality is
.
All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.
Since 4 is not included in the solution set, therefore there is an open circle at 4.
The graph for the given inequality is shown below:
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
(4y-3)(2y^2+3y-5)
8y^3+12y^2-20y-6y^2-9y+15
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Total Area = 2( 32 x 79) + (26 x 42) = 6148 m²
Number of 4 m² = 6148 ÷ 4 = 1537
Answer: The zoo can have 1537 plants.
V=LWH
V=4*4*8
V=128
answer is 128 ft^3
128 cubic feet
Answer:
∠AOB and ∠COD are vertical angles
∠DOE and ∠COD are complementary, adjacent
∠AOB and ∠AOD are supplementary, adjacent.
Step-by-step explanation:
Let's start with ∠AOB and ∠COD.
Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.
∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.
∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.
I hope this helped!