What Is 5/4 simplified

Ksivusya [100]

The general formula for the lateral surface area of a regular pyramid is:
$A= \frac{1}{2} *p*l$
Where:
p=perimeter of a base
l=slant height

a.
a=3ft
l=4ft
p=5*a=5*3=15ft
$A= \frac{1}{2} *15*4=30 ft^{2}$

b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft
$A= \frac{1}{2} *15*4=30 ft^{2}$

c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft
$A= \frac{1}{2} *15.2*4=30.4 ft^{2}$

d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:
$A= \frac{1}{4} *n* a^{2}*cot( \frac{180}{n} )$

For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.

8 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (6,4) and

max2010maxim [7]

Answer:

y = 3/2x - 5

Step-by-step explanation:

The equation for a linear line is y=mx+c:

m = gradient
c = y intercept

FINDING OUT THE GRADIENT (m)

The gradient can be found out by using this formula:

change in y / change in x ---> y2-y1/x2-x1

Therefore, we can substitute in the values from the given coordinates. Assuming (4,1) is coordinate point 1 and (6,4) is coordinate point 2, we substitute in the values as so:

(4-1)/(6-4) --> 3/2 (or 1.5, but it is always better to leave as a fraction in maths)

We now know our value for m is 3/2 or 1.5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

FINDING OUT THE Y INTERCEPT (c)

Now we must find the value of c. This is very simple now since we know the gradient. I don't know a more mathematical way of doing this, but the easiest way I can think of is just going down by the value of the gradient each time (1.5 or 3/2, in this scenario 1.5 is probably easier to use). We know as the x value decreases by 1, the y value decreases by 1.5 (or if x increases, y increases by 1.5).

If you want to use whole numbers rather than decimals, when the x value increases (or decreases) by 2, the y value increases (or decreases) by 3 (1.5*2=3). So, now we just work out what the y intercept is by finding out what y would be when the x coordinate is 0. So:

If y is 1 when x is 4 (4,1), then if x=2, y would be 1-3=-2 (2,-2).

If x=0, y would be -2-3=5 (0,-5).

This is the point where the line intercepts the y axis. We now know our value for c is -5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now we simply just substitute our values into the equation. So:

y = mx + c

If m=3/2 and c=-5, then:

y = 3/2x - 5

(Sorry if this was confusing, hope it kinda helped though!)

4 0

3 years ago

Determine whether the following problem involves a permutation or combination. (It is not necessary to solve the problem.) How

Aleksandr [31]

Answer:

Permutation

Step-by-step explanation:

Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.

4 0

3 years ago

X-2y/12y^2-x+4y/12y^2 simplify

Anon25 [30]

(2x+2y)/(12y^2) would be the simplist

3 0

4 years ago

ANother math question -_-

adoni [48]

Answer:

point c is the correct answer

Step-by-step explanation:

6 0

3 years ago