To find x we are gonna use the cosine formula.
Cos 0 = adj/hyp
0 represents theta
Cos 0 = adj/hyp
Cos 0 = 25/40
Convert 25/40 to decimal from
25/40 = 0.625
On a scientific calculator press the key “2nd F” or “Shift” then “cos”(which would give cos inverse) then type 0.625 equal.
Cos-1 0 0.625
= 51.31 degrees
x is therefore 51.3 degrees to the nearest tenth
let the number of adult tickets be x and the number of children tickets be y
3x + y = 164...equ(1)
2x + 3y = 174....equ(2)
multiplying equation 1 by 3
9x + 3y = 492
subtracting equation 2 from 1
7x = 318
x = 45.43 dollars
substituting the value of x into the equation
3(45.428) + y = 164
y = 164 - 3(45.428)
∴y = 27.71 dollars
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
The scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
<span>A slope of 1/2 means that for every two units you go to the right horizontally, the graphed line
goes up 1 unit vertically.</span>
Total measure is 180
x is 2nd and y is 3rd angle
2nd is 4 times 3rd angle
x=4y
total is 180
20+x+y=180
x=4y
20+4y+y=180
20+5y=180
minus 20 both sides
5y=160
divide by 5
y=32
third angle is 32 degrees
