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Andrew [12]
3 years ago
9

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

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0
If you have a rectangle with an area of 32 square feet, it means that the sides are 
A=L x W,   32= 8*4, where
 L=8, W=4
other options are
 L=16, W=2 and the last one is
 L=32, W=1 
You need to find the least perimeter , and you know that the perimeter is P= 2(L+W)
Perimeter (1)= 2(8+4)=2*12=24
Perimeter(2)= 2(16+2)=2*18=36
Perimeter (3)=2(32+1)=2*33=66

The least perimeter is 24, with the sides L=8 and W=4
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You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
According to the graph above,what is the unit rate of a human's heartless per minute​
kari74 [83]

The unit rate for the graph above is 60 heartbeats per minute. Half of 2 is 1 so go to the 1 min. mark and go up until you reach the line graph and it says 60. Do the same for the 2 min. mark and go up until you reach the line graph and it'll say 120. 60 ÷60=1 and 120 ÷ 60= 2

5 0
3 years ago
Helpp me pleasee (algebra)
antiseptic1488 [7]

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

8 0
3 years ago
Help please quickly!!!!!!1
IgorLugansk [536]

Answer:

9

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that (a) represents the unknown leg (side).

a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100

Inverse operations,

a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9

8 0
3 years ago
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