Answer:
see the explanation
Step-by-step explanation:
we have
we have that
Convert to scientific notation
substitute
Remember that
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents
Round the number 4.0875 two decimal places
so
The ladder makes 79.92 degrees of angle with the ground (Calculation: Cos A = 7/40 = 0.175 resulting A = ACos 0.175 = 79.92 degrees). This problem can be solved by using a simple trigonometry formula of Cosine which stated Cos A = Adjacent/Hypotenuse. The ladder length of 40 feet is the hypotenuse side of the triangle and the 7 feet distance between the ladder's foot and the wall is the adjacent side<span>. </span>
If the markers are 4.5 inches away on the map, and 2.5 inches represents 10 miles, then we need to make ratios we can work with.
Inches / Miles:
4.5 / x
2.5 / 10
Now, we can cross multiply to end up with:
2.5 * x = 4.5 * 10
Simplify:
2.5x = 45
Divide 2.5 on each side:
2.5x / 2.5 = 45 / 2.5
Simplify:
x = 45 / 2.5
x = 18
Awesome! Now we have a real ratio on the real distance of the markers.
<span>2.5 : 10 & 4.5 : </span><span>18.
</span>
18 miles is the actual distance between the two markers.
Hope I could help! If my math is wrong, or it isn't the answer you are looking for, please let me know!
<span>Have a good one!</span>
(-3,1)
x,y > -y,-x
Therefore (-1,3) is (-3,1)
