1080 clothespins makes 90 chairs and we need to find out how many clothespins it takes to make 1 chair.
We can set up a proportion of the number of chairs to the number of clothespins because of the proportional relationship.
x is the number of clothes pins for 1 chair
Cross multiply to get
90*x= 1080*1
Divide both sides by 90 to isolate x
x = 12 clothespins
It takes 12 clothespins to make 1 chair.
1.x2x
+x.4x7
5.036 (sorry the underline function is no longer available)
In the thousandth column we have x +7 and we wind up with a 6 in that column.
Since 7 is already more than 6 that means the only number that will work is 9 and there will be a carry of one into the hundredths place.
1.x29
+x.4x7
5.036
Now let's look at the tenths column. 2 becomes 3 in the answer and there was a carry of 1 from the thousandths so the other number must be a zero
1.x29
+ x.407
5.036 Now I need a number that goes with 4 and puts a zero in the answer.
That number has to be 6 and does cause a carry of one into the ones
place
1.629
+x.407
5.036
Finally (remembering there is a carry of one in the ones place) I have two (1 + 1 carried) toward my five in the answer. I need three more.
Here is the final example:
1.629
+3.407
5.036
Answer:
x=23
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given trigonometric equation is 
.
We can either use the Pythagorean identity or the right angle triangle to solve for 
.
According to the Pythagorean identity,
Recall that, the cosine function is an even function, therefore
.
We substitute this value in to the above Pythagorean identity to get;
But we were given that,
, so we choose the negative value.
The correct answer is B
