Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
Answer:
1. A
2. i think c not sure
Step-by-step explanation:
1. Living Things are Composed of Cells:
Single-cell organisms have everything they need to be "self-sufficient". In multicellular organisms, specialization increases until some cells do only certain things.
2. Different Levels of Organization:
Living things must be able to organize simple substances into complex ones.
Living things organize cells at several levels:
Tissue - a group of cells that perform a common function.
Organ - a group of tissues that perform a common function.
Organ system - a group of organs that perform a common function.
Organism - any complete living thing
3. Living Things Use Energy:
Living things take in energy and use it, for maintenance and growth.
4. Living Things Respond To Their Environment:
Living things will make changes in response to a stimulus in their environment. A behavior is a complex set of responses.
5. Living Things Grow:
Cell division - the orderly formation of new cells.
Cell enlargement - the increase in size of a cell. Cells grow to a certain size and then divide.
An organism gets larger as the number of its cells increases.
6. Living Things Reproduce:
Reproduction is not essential for the survival of individual organisms, but must occur for a species to survive.
All living things reproduce in one of the following ways:
Asexual reproduction - Producing offspring without the use of gametes.
Sexual reproduction - Producing offspring by the joining of sex cells.
7. Living Things Adapt To Their Environment:
Adaptations are traits giving an organism an advantage in a certain environment.
Variation of individuals is important for a healthy species.
You forgot to give the choices so I will solve the problem in detail step-by-step explanation and then you can select the correct choice and fill in the answer boxes within your choice correctly.
Given the criteria stated in the problem, we can obtain the following linear system:
The corresponding augmented matrix is
→
→→
The linear system corresponding to the reduced form is
Since is the free variable, we let , where is any real number. Then the general solution can be written as follows:
where is any real number.
However, the definitions of , and imply that the solutions must be non-negative integers. Therefore, we need to derive the possible range of values of such that the general solution make sense for this problem:
Solving the inequalities, we finally obtain all the relevant solutions to the linear system:
where is any integer such that 19 22.
Thus, you just need to apply the above solution to the choices given to you and fill in the answer boxes correctly.