Answer:
All given information leads to conclusion described on statement. ()
Step-by-step explanation:
The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) is a point of segment and ii) is the midpoint of . We proceed to perform the demonstration:
1) , is the midpoint of . Given.
2) Definition of midpoint.
3) Definition of segment/Result.
All given information leads to conclusion described on statement. ()
Answer:
Perimeter = 38 feet
Area = 78 sq. feet
*Don't forget the squared (sq.) part in the area or your units WILL be wrong*
Step-by-step explanation:
We are just going to add up the sides given.
8 + 5 + 5 is the top rectangle
4 + 11 is the bottom rectangle and the bottom of the triangle
Add 5 more to account for the hypotenuse of the triangle.
8 + 5 + 5 + 4 + 11 + 5 or 8 + 5(3) + 4 + 11 = 38.
Your perimeter is 38 feet
The area of the top rectangle can be found by doing the length (8 ft.) times the width (5 ft.) 8 x 5 = 40 sq. ft.
The bottom rectangle has the same length as the top since they share a side but, has its own width (4 ft.). 4 x 8 = 32 sq. ft.
Time to add on the area of the triangle. The height of the triangle is the width of the bottom rectangle which is 4 ft. Now we use that 11 feet. The base of the triangle plus the length of the bottom rectangle equals 11 feet. We found from the previous parts that the length of the rectangles are 8. So if we subtract 8 from 11, we get the size of the base. 11 - 8 = 3. The base of the triangle is 3 feet.
Area of a right triangle is found by doing 1/2 times the base times the height. So the area of that triangle is (1/2)(3)(4) = (1/2)(12) = 6 sq. ft.
Now, we add all of our areas together.
40 + 32 + 6 = 78 sq. ft.
Considering the concept of a sample space, a situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
<h3>What is the sample space of an experiment?</h3>
The sample space is the set that contains <u>all possible outcomes for an experiment</u>.
In this question:
- The number cube will always have 6 outcomes.
- The spinner has n outcomes.
- The number cube and the spinner are independent, hence, to find the total number, we multiply the number of outcomes of each.
Thus:
6n = 36 -> n = 6.
A situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
More can be learned about the sample space concept at brainly.com/question/15006554
Answer:
Option D is correct.
cosecant of an angle R is,
Step-by-step explanation:
In the given triangle DRW is right triangle.
To find the cosecant of angle R;
In a right angled triangle, the cosecant of an angle defined as
the length of hypotenuse side divided by the length of the side opposite the angle.
The abbreviation for cosecant is csc
i,e
In the given triangle DRW as show in figure;
hypotenuse sides = 13 units and
Opposite side to an angle R is 12 units;
then;
Therefore, the cosecant of an angle R is,
c the functions have the same slope