Answer:
D. 88
Step-by-step explanation:
if you add the given numbers up (equals 100) them subtract it from 540(the degrees of a Pentagon) you get 440. then divide that by 5 (number of xs left) you get 88. You can plug in 88 for x and check but I already did, I hope this helps you lemme know if it does :)
Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Taking the general form:
y = A cosine (Bx - Cπ)) + D
In the following case. the constants are:
y = 0.5 cosine (4x - 2π)) - 2
A: 0.5
B: 4
C: 2π
D: -2
The range of this function is:
range = [-|A|+D, |A|+D]
range = [-0.5-2, 0.5-2]
range = [-2.5, -1.5]
Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"
At x = 0, the function value is:
y = 0.5 cosine (4(0) - 2π)) - 2
y = 0.5 - 2 = -1.5
As indicated in "a curve crosses the y-axis at y = negative 1.5"
The period of the function is:
period: 2π/B
period = 2π/4 = π/2 or 2 cycles at π
as described in "It goes through 2 cycles at pi."
Answer:
x=2
y=1.732
Step-by-step explanation:
we use the formulae.....
SOHCAHTOA
where..Cos 60°=1/x
cos60=0.5
0.5=1/1
<u>X</u><u>=</u><u>2</u>
0.8660=y/2
y= 1.732
Answer:
Step-by-step explanation:
The volume of a square pyramid is given by 
Since pyramids A and B are similar, their corresponding side lengths are proportion. Since the base edge of B is half that of A's, each dimension of B will be half of A. Since the formula for volume requires the multiplication of three dimensions, the volume of pyramid A will be 
times larger than the volume of pyramid B.
Thus, the volume of pyramid A is equal to 
. You can also find the dimensions of pyramid A and use the formula.
The surface area consists of the sum of all areas of the 2D shapes that make the figure. Since all dimensions of pyramid A are twice the dimensions of pyramid B, the ratio of the surface area of pyramid A to pyramid B is 
The surface area of a square pyramid can be found by adding the areas of the three triangles and one square that make it up. As one long messy formula, that becomes 
for a square pyramid with base edge 
and height 
.
Plugging in values, we get the following:
