Five times the difference of two numbers

Find the perimeter and area of each figure.

Sergio039 [100]

Answer:

1. A = 2x; P = 4x+2. A = 4; P = 10.

2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

A = x + x

A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

P = 1 + (x-1) + x + 1 + (x+1) + x

P = 4x +2

__

When x=2, these values become ...

A = 2·2 = 4 . . . . square units

P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

A = y² + 1 + 1

A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

P = y +(y-2) +1 +2 +(y+1) +y

P = 4y +2

__

When y=5, these values become ...

A = 5² +2 = 27 . . . . square units

P = 4·5 +2 = 22 . . . . units

4 0

4 years ago

Find the GCF o the first two terms and the GCF of the last two terms of the polynomial. 5h 3+20h 2+4h+16

riadik2000 [5.3K]

GCF = greatest common factor the GCF of the first two terms is 5h2. GCF of the last two terms is 4.

5 0

3 years ago

Find the range and interquartile range of the data. Round to the nearest tenth. 44, 45, 38, 8, 40, 35, 10, 55, 23, 36

Leno4ka [110]

The range = greatest value - lowest = 55 - 8 = 47

Sorry nit sure about interquartile range - its been a long time but i think its 44 - 23 which is 21.

7 0

3 years ago

The store salsa jars have a height of ten centimeters and a radius of five centimeters. If there is only four centimeters of sal

Romashka-Z-Leto [24]

Answer:

$V=471.24cm^{3}$ (simplified)

$V=150\pi cm^{3}$ (in terms of pi)

Step-by-step explanation:

Since the salsa jar is basically a cylinder, to solve this we are using the formula for the volume of a cylinder:

$V=\pi r^{2} h$

where

$V$ Is the volume of the cylinder (salsa jar)

$r$ is the radius of the cylinder (salsa jar)

$h$ is the height of the cylinder (salsa jar)

We know from our problem that height of the full salsa jar is 10 centimeters; we also know that that there are only 4 centimeters of salsa left in the salsa jar. So, to find the the height of the missing salsa, we just need to subtract the height of the salsa from the height of the full salsa jar: $h=10cm-4cm=6cm$ . Since the radius of the salsa jar never changes, $r=5cm$ .