A=h(a+b)/2 solve for h

Can someone please solve and explain this?

Maksim231197 [3]

Basically all you have to do is find the area of both circle and then minus the non-shaded area from the shaded area. So the equation to find the area of a circle is πr^2 so the radius for the non-shaded shaded is 1.2 square that then mutiply it by π ,(pi). Next the radius for the whole circle is 3.5 so square that then mutiply it by π. Next just subtract the two, non-shaded to shaded area.

6 0

3 years ago

A company plans to enclose three parallel rectangular areas for sorting returned goods. The three areas are within one large rec

Svetlanka [38]

Answer:

The largest total area that can be enclosed will be a square of length 272 yards.

Step-by-step explanation:

First we get the perimeter of the large rectangular enclosure.

Perimeter of a rectangle =2(l + w)

Perimeter of the large rectangular enclosure= 1088 yard

Therefore:

2(L+W)=1088

The region inside the fence is the area

Area: A = LW

We need to solve the perimeter formula for either the length or width.

2L+ 2W= 1088 yd

2W= 1088– 2L

W = $\frac{1088-2L}{2}$

W = 544–L

Now substitute W = 544–L into the area formula

A = LW

A = L(544 – L)

A = 544L–L²

Since A is a quadratic expression, we re-write the expression with the exponents in descending order.

A = –L²+544L

Next, we look for the value of the x coordinate

$L= -\frac{b}{2a}$

$L= -\frac{544}{2X-1}$

L=272 yards

Plugging L=272 yards into the calculation for area:

A = –L²+544L

A(272)=-272²+544(272)

=73984 square yards

Thus the largest area that could be encompassed would be a square where each side has a length of 272 yards and a width of:

W = 544 – L

= 544 – 272

= 272 yards

7 0

3 years ago

What is the factored or of 25y^4 - 4z^2

Cerrena [4.2K]

Answer:

$(5y^2+2z)(5y^2-2z)$

Step-by-step explanation:

Use the difference of squares formula.

$a^2-b^2=(a+b)(a-b)$

$a=5y^2 \\ b=2z$

$(5y^2+2z)(5y^2-2z)$

5 0

3 years ago

Which representation does not show a proportional relationship between x and y?

nasty-shy [4]

Answer:

Table A

Step-by-step explanation:

looking at the two tables, we have the observations as follows;

For table B, if we divide x by y; we have a ratio of 2/3

This happens throughout the table

What this means is that x = 2/3 * y

But for table A, we notice a pattern for the first two lines

The pattern here is that x = 2y

But as we move to the next two rows, we notice this fails and thus, we fail to establish a pattern that works for all the rows;

Hence table B has a pattern for all its rows

6 0

3 years ago

Use the given map to find the coordinates of a point that lies on the directed line segment from c to d and partitions the segme

Lelechka [254]

Given:

The line segment is passing through the points (-9,-3) and (8,5),

Divide the segment in the ratio of 1:4.

Use the formula,

$\begin{gathered} (\frac{mx_2+nx_1}{m+n},\frac{my_2-ny_1}{m+n}) \\ (x_1,y_1)=(-9,-3) \\ (x_2,y_2)=(8,5) \\ m\colon n=1\colon4 \end{gathered}$

It gives,

$\begin{gathered} (\frac{1(8)+4(-9)}{1+4},\frac{1(5)+4(-3)}{1+4}) \\ (-\frac{28}{5},-\frac{7}{5}) \end{gathered}$

Answer:

$(-\frac{28}{5},-\frac{7}{5})$

8 0

1 year ago