Solution:
A function is always a relation but a relation is not always a fucntion.
For example
we can make a realtion of student roll number and their marks obtained in mathematics.
So we can have pairs like (a,b), (c,d)..etc.
Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.
Because two diffrent students with two diffrent Roll number may have same marks.
Hence the foolowing options holds True in case of a function.
A) many inputs to many outputs or one input to one output.
D) one input to one output or many inputs to one output.
Answer:
No, the answer is 120 plants per square foot
Step-by-step explanation:
What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h
Plug in the numbers like this: 1/2·15·8
15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.
15·8=120
1/2·120=60
Area = 60
Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.
60·2=120
Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.
I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!
Answer:
The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.
Thus, the ladder will not be safe for its height and therefore won't make sense.
A math teacher opened a window company because he loves seeing shapes or geometrical polygons such as rectagles, squares or quadrilaterals in general as well as triangles in his works. Of course, the math teacher is already familiar with these shapes and how to calculate the angles in between.
