Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per <em>n</em> seconds
- Need to solve for <em>n</em>
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
= 
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13
4. Solve for <em>n</em> by isolating the variable and dividing.
= 
<em>n</em> = 
<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)
SIx boys can eat seven (7) hotdogs in six (6) minutes.
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:

Now, we know the following identities:

Now, the values are:

Sine value is positive and cos, tan values are negative.
It can be clearly observed that
is in 2nd quadrant.
2nd quadrant means, the value of
will be negative and
will be positive.
Let us have a look at the value of
:

Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)
First, we have to find how many small cubes formed by the large cube.
To find the number of small cubes, we should calculate the volume of each large cube and small cube. Equalize the volume units to dm³
Dimension of large cube
s = 1 m
s = 10 dm
Volume of large cube
v = s³
v = 10³
v = 1,000 dm³
Dimension of small cube
s = 1 dm
Volume of small cube
v = s³
v = 1³
v = 1 dm³
Second, calculate the number of small cubes formed
n = volume of large cube / volume of small cube
n = 1,000 dm³ / 1 dm³
n = 1,000
There are 1,000 small cubes.
Third, calculate the height of the structure.
The structure is formed by 1,000 cubes. Each of them is 1 dm high.
The height of the structure is
h = 1 dm × 1,000
h = 1,000 dm
h = 100 m
The height of the structure is 1,000 dm or 100 m