Nicole reduced the size of a rectangle to a

Please help me ASAP

Vedmedyk [2.9K]

Volume = area of base * height = 1/2 * 6 * 8 * 12

= 288 ft^3 answer

7 0

3 years ago

Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

In parallelogram, diagonals bisect each other.

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

Using this midpoint find the missing coordinate.

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0

3 years ago

A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two identical pastures. The mater

Dahasolnce [82]

Answer: The largest dimensions that are possible would be 50 foot by 125 foot.

Step-by-step explanation:

Since we have given that

Amount a farmer has available = $1500

Let x be the side perpendicular to the river.

Let y be the side parallel to the river.

Number of section perpendicular to the river = 3

cost of material for the side parallel to the river = $6 per foot

Cost of material for the side perpendicular to the river = $5 per foot

So, total cost becomes

$Cost=6y+5(3x)=1500\\\\Cost=6y+15x=1500\\\\y=\dfrac{1500-15x}{6}}$

Area would be

$A=x\times y\\\\A=x(\dfrac{1500-15x}{6})\\\\A=\dfrac{1}{6}(1500x-15x^2)\\\\A'=\dfrac{1}{6}(1500-30x)$

Now, put A' = 0 to get the critical points.

So, it becomes,

$\dfrac{1}{6}(1500-30x)=0\\\\1500-30x=0\\\\1500=30x\\\\x=\dfrac{1500}{30}\\\\x=50$

$A''=\dfrac{-30}{6}=-5$

so, at x= 50 it will give maximum dimensions.

$y=\dfrac{1500-15x}{6}=\dfrac{1500-15\times 50}{6}=\dfrac{750}{6}=125$

So, the largest dimensions that are possible would be 50 foot by 125 foot.

7 0

3 years ago

There were 12 sparrows in the trees and 30 sparrows on the roof. 25 more sparrows flew from across the street. How many sparrows

Ilia_Sergeevich [38]

Hi!

To solve this, we add the numbers.

12
30
+ 25
---------
??

First, add the numbers in the ones place.

12
30
+ 25
---------
?7

Now add the digits in the tens place.

12
30
+ 25
---------
67

The answer is 67 sparrows.

Hope this helps! :)

3 0

3 years ago

Read 2 more answers

L = 9.1 in W = ? in H = 6 in Volume = 141.96 in3

sashaice [31]

Answer:

It should be 2.6

Step-by-step explanation:

141.96 ÷ 6 =23.66

23.66 ÷ 9.1 =2.6

8 0

3 years ago

Read 2 more answers