Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Length AB
To do this, we make use of sine law which is represented as:
So, we have:
Make AB the subject
250 because 432 minus 68 divided by two plus 68 is 250
For this case, the area is given by:
A = x * (200-2x)
Rewriting:
A = 200x-2x ^ 2
Deriving the expression we have:
A '= 200-4x
Equaling zero we have:
200-4x = 0
We clear x:
4x = 200
x = 200/4
x = 50 feet
Then, the maximum area is:
A (50) = 50 * (200-2 * 50)
A (50) = 5000 feet ^ 2
Answer:
the maximum possible area that can be enclosed with his 200ft of fencing is:
A (50) = 5000 feet ^ 2
Answer:
Endangered species
Step-by-step explanation:
An endangered species is a species that is at risk of extinction due to rapid decrease in their population .Their decrease in population might be due to loss of habitat and genetic variation. The loss of habitat might be due to natural factors like the climate change For example animals like dinosaurs during the cretaceous period that experience rapid change in the climate loss their habitat and went extinct.
Human activity can also influence loss of habitat. Development in housing , agriculture and industry can also threaten the habitats of native organisms. The loss of their habitat might cause sudden extinction of these organisms. They might find it hard to adapt to another environment or even procreate.
Generally, endangered species are species that are threatened by extinction. Elephants that are in danger of been wiped out is an endangered species.
Answer:
. . . 18. x = 8√6
. . . 19. x = 3
. . . 20. x = 3√3
. . . 21. x = 5/3
Step-by-step explanation:
You have already marked the correct relationships on the drawings. Finding the value of x is a matter of making use of those relationships.
__
18. As you show, x is the given side multiplied by √3, so is ...
. . .x = (8√2)(√3) = 8√6
__
19. As you show, the given side is x multiplied by √2, so ...
. . . 3√2 = x√2
. . . 3 = x . . . . . . . . . . divide by √2
__
20. As you show, the given side is x multiplied by √3, so ...
. . . x√3 = 9
. . . x = 3√3 . . . . . . multiply by (√3)/3
__
21. As you show, ...
. . . 8x -10 = 2x
. . . 6x -10 = 0 . . . . . subtract 2x
. . . x - 10/6 = 0 . . . . divide by 6
. . . x = 5/3 . . . . . . . . reduce the fraction and add it to both sdes
