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Deffense [45]
2 years ago
7

gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of

40square inches. it has the same width as the first painting. What is the kength of the second painting?
Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

5 inches

Step-by-step explanation:

the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5

You might be interested in
6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a² + b² + ab) – (a + b) (a² + b²– ab) iii) (b² – 49) (b + 7) + 3
Shkiper50 [21]

Step-by-step explanation:

<h2>i).</h2>

(a + b)(5a – 3b) + (a – 3b)(a – b)

Expand each of the terms separately

That's

(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²

= 5a² + 2ab - 3b²

(a – 3b)(a – b) = a² - ab - 3ab + 3b²

= a² - 4ab + 3b²

<u>Add the terms</u>

That's

5a² + 2ab - 3b² + a² - 4ab + 3b²

<u>Group like terms</u>

5a² + a² + 2ab - 4ab - 3b² + 3b²

We have the answer as

<h2>6a² - 2ab</h2>

<h2>ii)</h2>

(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)

Expand the terms separately

<u>For (a – b) (a² + b² + ab)</u>

Using the rule

x³ - y³ = (x - y)( x² + xy + y²) expand the expression

So we have

(a – b) (a² + b² + ab) = a³ - b³

<u>For (a + b) (a² + b²– ab)</u>

Using the rule

x³ + y³ = (x + y)( x² - xy + y²) expand the expression

We have

(a + b) (a² + b²– ab) = a³ + b³

Subtract the terms

That's

a³ - b³ - (a³ + b³)

Remove the parenthesis

a³ - b³ - a³ - b³

Group like terms

a³ - a³ - b³ - b³

We have the final answer as

<h2>-2b³</h2>

<h2>iii)</h2>

(b² – 49) (b + 7) + 343

Expand the terms

That's

b³ + 7b² - 49b - 343 + 343

We have the final answer as

<h2>b³ + 7b² - 49b</h2>

Hope this helps you

6 0
3 years ago
A triangle has a perimeter of 32 inches. The medium side is 2 more than the short side, and the longest side is 3 times the leng
MatroZZZ [7]

Answer:

6

Step-by-step explanation:

6+(6+2)+(6×3)=32

32÷(1+1+3)=6•••••2

So it's 6 and 6+2 and 6 times 3

which is 5 of number 6 plus 2

=6+(6+2)+(6×3)

=6+8+18

=32

7 0
3 years ago
The hang time of a basketball player who jumps a verticle distance of 2 feet (0.6m) is 2/3 seconds. What will be the hang time i
Lubov Fominskaja [6]
The hang time will be the same because the amount of time spent in the air is dependent on the vertical height. The fact that the player covers horizontal distance is simply due to him also pushing forward, instead of only upwards.
8 0
3 years ago
Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section
Levart [38]

Answer:

96 possible outcomes

Step-by-step explanation:

2 x 6 x 8 = 96

8 0
3 years ago
Two lines meet at a point that is also a vertex of an angle; the measurement of ∠AOF is 134°.
Stells [14]

Answer:

x and y are the same. they are both 99

Step-by-step explanation:

8 0
3 years ago
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