Answer:
5x^2+42x+16
Step-by-step explanation:
Answer:
alantic ocean
Step-by-step explanation:
Answer:
4050 sq. feet.
Step-by-step explanation:
Fencing is done on three sides of the rectangular area.
Given that there are 180 feet of fence available.
Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.
Now, the area of the plot is given by A = LW
Now, from equation (1), we ger A = L (180 - 2L) ..... (2)
Then differentiating with respect to L in the both sides we get,
{Since condition for Area to be maximum is
}
⇒ L = 45 feet.
Now, from equation (2), we have
square feet.
I tried but there is not square root of this equation.
Answer:
<em>15 miles</em> is the correct answer.
Step-by-step explanation:
It is given that Post office is at the intersection point of First Street and Main Street and forms a right angle.
Please refer to the attached image, let us suppose post office is at point P.
Intersection of Oak street and First street is towards North and
Intersection of Oak street and Main street is towards East
PQ represents the Main Street and PR represents the First Street.
![\angle PRQ = x^\circ](https://tex.z-dn.net/?f=%5Cangle%20PRQ%20%3D%20x%5E%5Ccirc)
![tan x^\circ = \dfrac{7}{5}](https://tex.z-dn.net/?f=tan%20x%5E%5Ccirc%20%3D%20%5Cdfrac%7B7%7D%7B5%7D)
It is given that Car A drives 21 miles on main street to reach oak street
![\Rightarrow PQ = 21 miles](https://tex.z-dn.net/?f=%5CRightarrow%20PQ%20%3D%2021%20miles)
<u>To find:</u>
How far will car B have to travel on first street to get to oak street?
i.e. PR = ?
<u>Solution:</u>
By trigonometric rules we know that
![tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cdfrac%7B%5Ctext%7BPerpendicular%7D%7D%7B%5Ctext%7BBase%7D%7D)
Here
, perpendicular is PQ i.e. 21 miles and Base is PR
![tan x^\circ=\dfrac{7}{5} = \dfrac{21}{PR}\\\Rightarrow \dfrac{21}{PR}=\dfrac{7}{5}\\\Rightarrow PR = \dfrac{21 \times 5}{7}\\\Rightarrow PR = 15\ miles](https://tex.z-dn.net/?f=tan%20x%5E%5Ccirc%3D%5Cdfrac%7B7%7D%7B5%7D%20%3D%20%5Cdfrac%7B21%7D%7BPR%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B21%7D%7BPR%7D%3D%5Cdfrac%7B7%7D%7B5%7D%5C%5C%5CRightarrow%20PR%20%3D%20%5Cdfrac%7B21%20%5Ctimes%205%7D%7B7%7D%5C%5C%5CRightarrow%20PR%20%3D%2015%5C%20miles)
Hence, <em>15 miles</em> is the correct answer.