Answer:
Read the explanation!
Step-by-step explanation:
<em>Let the "certain number" be </em>
<em>. </em>
(
is a symbol for multiplication).
<em>Create a few equations and expressions:</em>
The sum of 12 and a certain number: 
The product of 3 and the number: 
The sum of 12 and a certain number is equal to the product of 3 and the number:
= 
Solve!
12=3x-x
12=2x
x=6
Answer:
9 white ribbons were awarded
Step-by-step explanation:
make white x
make blue b and make red r
b=x-1
r=x+3
w=x
add them up
x-1+x+3+x=29
x-1 +x+3 is 2x+2
2x+2+x=29
3x+2=29
subtract 2 on both sides
3x=27
divide by 2
x=9
Answer:
1. 63.64
2. 54 in
3. 18 in
4. 20.25
5. 168
6. 6 cm
Step-by-step explanation:
In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0
Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]
I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown
A = (1.91, 0)
B = (4.37, 0)
So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians