Answer:
<em>− 2sin(b) / cos(2b)</em>
Step-by-step explanation:
DIFFERENTIATE W.R.T. B is a different method entirely
We simply add together the numerators and set with 2cos
then keep this number and add to sinb and square it.
then repeat initial 2 + cosb ^2 but instead of multiplying its add.
Then set the whole division to -sin (2b) squared then +1
<em> − 2cos(b)(3(sin(b))^2+(cos(b))^2) / −(sin(2b)) ^2 +1 </em>
Answer:
c.
Step-by-step explanation:
Hello!
To take a sample to estimate the mean height of all students at a university and that the value you reach is statistically valid you need the sampling method to be random and representative of the whole population, in this example, all university students.
a. Measure the heights of 50 students found in the gym during basketball intramurals.
This method is not the best because you would be sampling only basketball players leaving all other students of the university outside, i.e. your sample will not be representative of all the students, just the ones that play basketball.
b. Measure the heights of all engineering majors.
This method is not good, the sample only represents engineering mayors meaning that it does not include the students of any other subjects.
c. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.
With this method you choose students regardless of the sport or major they're are taking, it is more representative of the population of university students, of the three options, this is the best one.
I hope it helps!
If it is isosceles, than the legs are the same. We will call them X. The formula for the area of a triangle is 1/2 (base * height). But the base and the height are both X. So the area (18) is equal to 1/2 (x * x), or 1/2(x^2). This means that 36 = x^2. Thus, the length of each side is 6 inches. You can check this work by plugging those into the formula for area. You will find that it equals 18.
Answer:
56 cm^2
Step-by-step explanation:
Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.
Area of square base (side^2)
4^2 = 16 cm^2
Area of ONE triangular face (1/2 x b x h):
1/2 x 4 x 5 = 10 cm^2
Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2
ADD all the areas of triangles and square:
16 cm^2 + 40 cm^2 = 56 cm^2
HOPE THIS HELPS
Have a nice day!
Answer:
x=16
Step-by-step explanation:
50+40=90
40-8=32
32/2=16
x=16