Answer:
x = 16.6
Step-by-step explanation:
Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:
which rounded to one decimal is
x = 16.6
Given:
The statement is "two sevenths times four sixths".
To find:
The value of the product.
Solution:
Two sevenths times four sixths can be written as:
It can be rewritten as:
The answer of given expression is eight forty seconds.
Therefore, the correct option is B.
Answer:
<u>0.765 meters</u> long were the sticks when laid end to end.
Step-by-step explanation:
Given:
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.
Now, to find the length in meters of the sticks when laid end to end.
The lengths of the sticks are:
1st stick - 45 millimeters.
2nd stick - 32 centimeters.
3rd stick - 4 decimeters.
So, we convert the units of sticks into meters by using conversion factor:
1st stick:
1 millimeter = 0.001 meter.
45 millimeters = 0.001 × 45
45 millimeters = 0.045 meter.
2nd stick:
1 centimeter = 0.01 meter.
32 centimeters = 0.01 × 32
32 centimeters = 0.32 meter.
3rd stick:
1 decimeter = 0.1 meter.
4 decimeters = 0.1 × 4
4 decimeters = 0.4 meter.
Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:
Therefore, 0.765 meters long were the sticks when laid end to end.
Answer:
The ,
and
.
Step-by-step explanation:
The given function is
.... (1)
The general form of sine function is
....(2)
where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.
On comparing (1) and (2), we get
So,
Therefore ,
and
.