What is the least perimeter of a rectangle with the area of 32 square feet

Answers

Answer 1

Answer: You get the least perimeter of a rectangle when you draw
a square around the area.

If the area is 32 square feet, then each side of the square
is √32 feet. That's 4√2 feet.

So the perimeter (all around all 4 sides) is 16√2 = about 22.6 feet.
_________________________

There IS a way to get a shorter perimeter around the same area,
but not with a rectangle, or any number of straight sides.

If you do it with a CIRCLE, then the radius of the circle
is about 3.19 feet, and the perimeter (circumference) is
about 20.05 feet ... about 11% shorter than the perimeter
of the square.

Answer 2

Answer: 24 b/c area=8x4=32
bh2=24

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The endpoints of one diameter of a circle are (9,3) and (-5,15). What is the center of the circle?

Answers

Answer:

(2,9)

Step-by-step explanation:

X midpoint:9+(-5)/2 which gives 2

Y midpoint:3+15/2 which gives 9

7 - 3 ( 5t - 10 ) = 67

Answers

$7-3(5t-10)=67$

$7-(3*5t-3*10)=67$

$7-15t-(-30)=67$

$7-15t+30=67$

$-15t=67-30-7$

$-15t=30$

then...

$t=-(30)/(15)$

$\boxed{\boxed{t=-2}}$

Answer in an annex
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20 POINTS 2. Order the group of quadratic functions from widest to narrowest graph.

Y=2x^2 ; y=4x^2 ; y=5x^2

See photo for answer options

Answers

Answer:

the answer is A i know bc i took the test and got a 100

Step-by-step explanation:

There are 126 different combinations of soups salads, and sandwiches available at a cafe. If there are more choices of sandwiches than choices of salads and fewer choices of soups than salads, how many of each type of food is available at a cafe?

Answers

combinations = #soup x #salad x #sandwich
126 = 2 x 7 x 9 = 3 x 6 x 7 = 2 x 3 x 21
there are more than one answer

at a supermarket , Monica paid 3.20 for 2 pounds of apples and 2 pounds of oranges, while Sarah paid 4.40 for 2 pounds of apples and 4 pounds of oranges. At these rates, what is the cost , in dollars, for 3 pounds of oranges?

Answers

The cost , in dollars, for 3 pounds of oranges is 1.8

Solution:

Given that Monica paid 3.20 for 2 pounds of apples and 2 pounds of oranges

Sarah paid 4.40 for 2 pounds of apples and 4 pounds of oranges.

Let the cost of orange per pound = x

Let the cost of apple per pound = y

Therefore, we can frame an equation as follows for Monica and Sarah:

In Monica’s case:

2x + 2y = 3.20

Hence x + y = 1.6 ---- eqn 1

In Sarah’s case:

4x + 2y = 4.40

Hence 2x + y = 2.2

y = 2.2 -2x – eqn 2

Substitute eqn 2 in eqn 1 we get,

x + 2.2 -2x = 1.6

-x = 1.6-2.2 = -0.6

x = 0.6

Substituting the value of “x” in eqn 2 we get the value of “y” as 1

Thus the cost of orange per pound is 0.6

Therefore, cost of 3 pounds of oranges = 3 × 0.6 = 1.8

Mary covered her kitchen floor with 10 tiles. The floor measures 6 feet long by 5 feet wide, The tiles are each 3 feet long and w feet wide. Write an equation to represent the situation.

Answers

Number of tiles used forcovering the kitchen floor = 10
Area covered by the floor = 6* 5 feet^2
   = 30 square feet
Length of each tiles = 3 feet
Width of each tiles = w feet
Area covered by each tiles = 3w square feet
Then the equation can be written as
3w * 10 = 30
30w = 30
w= 30/30
    = 1 feet
So the width of each tiles is 1 feet.I hope the procedure is clear enough for you to understand. The equation to determine the solution is
10 *3w = 30
There are 10 tiles used and the area covered by each tiles is 3w. Also the area of the floor is 30 square feet. All those information's have been used to get to the equation.

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