Problem: 4+x=15
- Subtract 4 from both sides
4+x-4=15-4
- Refine
x = 11
Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Answer:
![\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Csqrt%7B65%7D%20-%203%20%7D%7B4%7D%2C%20%5Cfrac%7B%5Csqrt%7B65%7D%20%2B%203%7D%7B4%7D)
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula: ![x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B%2F-%5Csqrt%7Bb%5E2%20-%204ac%7D%20%7D%7B2a%7D)
Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.
Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
The slope is the rate
words per minute
we can do
540 words in 3 minutes
divide by 3
180 words in 1 minute
thea=180wpm
elanor=225wpm
elanor>thea
and 225*2=450
answers are
Thea reads 180 words per minute.
Eleanor reads 450 words every 2 minutes.
After 1 hour of reading, Eleanor reads more words than Thea.