Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31 (1)
Area: A=bh (2)
Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b (3)
Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2
To maximize the area:
A'=0
A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b
A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
31/2=2b/2
31/2=b
b=31/2=15.5
Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2
The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
The area with these dimensions is: A=(15.5 ft)(15.5 ft)→A=240.25 ft^2
These dimensions are not in the options
1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2
The third option has the largest area.
Answer: Third option
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ? Where is the picture
Answer:
x=9
Step-by-step explanation:
The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.
90+5x+5x=180
add the x values together
90+10x=180
subtract 90 from both sides
10x=90
divide both sides by 10
x=9
g(x)=-2(x+3)^2
The -2 in front is the vertical stretch.
Also, because it is going 3 units to the left, you have to put the 3 on the inside and because it is left you do the opposite and it is +3.
Answer:
The correct answer is 450°, 810°, -270° and -630°.
Step-by-step explanation:
According to the given scenario, the calculation of the two positive angles and two negative angles i.e. coterminal is as follows:
The coterminal angles are the angles in which the difference could be 360 degrees or the multiples of 360 degrees
For 90 degrees, the two positive angles are
a. 90° + 360°
= 450°
450° + 360°
= 810°
b. The two negative angles are
= 90° - 360°
= -270°
-270° - 360°
= -630°
