Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
Where |<em>a</em>| is the amplitude, 2π/<em>b</em> is the period, <em>c</em> is the phase shift, and <em>d </em>is the vertical shift.
We have the function:
We can rewrite this as:
Therefore, <em>a</em> = 3, <em>b</em> = 9/5, <em>c</em> = 0, and <em>d</em> = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
1 ton= 2000 pounds
STEP 1:
Convert each car's weight to pounds:
= 2000 pounds + 1400 pounds
= 3400 pounds per car
STEP 2:
multiply each car's weight in pounds by the total number of cars
= 3400 pounds * 6 cars
= 20,400 pounds total
ANSWER: The truck is transporting 20,400 pounds.
Hope this helps! :)
Answer:
D) 1.0*10^7
Step-by-step explanation:
10,000,000
10,000*10^3
10*10^6
1.0^10^7
Scientific notation requires the following formula:
(a and c are digits, b is the value after the decimal point)
a.b*10^c