All categories

3 years ago

Calculate the area of the shape.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

295 ft is the area of this shape

You might be interested in

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

Read 2 more answers

3X3X11<br> Write the number whose prime factorization is given

mixer [17]

the prime factorization is 99

6 0

4 years ago

Read 2 more answers

4t - 2 + t2 = 6 + t^2

aliya0001 [1]

Answer:

t = 2 , t = 4

Explanation:

The equation has two solutions.

3 0

3 years ago

The radius of the circle whose equation is (x-3)^2 + (y+1)^2 = 16 is

Firdavs [7]

Answer:

Step-by-step explanation:

The general equation of a circle with center (a, b) and radius r is given by the equation;

$(x-a)^{2}+(y-b)^{2}=r^{2}$

The constant in the right hand side of the equation is simply the square of the radius;

We have been given the following equation;

(x-3)^2 + (y+1)^2 = 16

Comparing this with the general equation above;

$r^{2}=16\\\\r=\sqrt{16}=4$

4 0

4 years ago

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$