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2 years ago

What is the length of the rectangle?

Mathematics

1 answer:

gregori [183]2 years ago

4 0

Step-by-step explanation:

$area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.$

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For what values of a are the following expressions true?/a+5/=-5-a

katovenus [111]

Explanation:

The expression is given below as

$|a+5|=-5-a$

Concept:

We will apply the bsolute rule below

$\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}$

By applying the concept, we will have

$\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}$

Hence,

The final answer is

$a\leq-5$

5 0

6 months ago

Tarana mailed 20 greetings cards. 9 of them were mailed to USA. What percentage of the cards were mailed to USA?

Elza [17]

Answer:

45%

Step-by-step explanation:

9/20=0.45 (Divide it first), 45/100=45% (45/100 because 100 makes 1 whole -all 20 cards-)

7 0

2 years ago

Which expression is equivalent to (4x^4/2x^3)

gavmur [86]

Answer:

Step-by-step explanation:

Given

$\frac{4x^4}{2x^3}$

= $\frac{4}{2}$ × $\frac{x^4}{x^3}$

= 2 × $x^{(4-3)}$

= 2x

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3 years ago

Furniture store is having a sale where everything is 40% off.Write a function that represents the amount of discount d on an ite

Vladimir79 [104]

Answer:

d = .4p

Step-by-step explanation:

Discount = original price * discount rate

We know the discount rate is 40%

original price is p

discount = d

d = p*40%

Changing this to decimal form

d = .4p

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3 years ago

Use the theoretical probability formula to solve the problem. Express the probability as a fraction

serg [7]

Answer:

c. 3 / 13

d. 2 / 13

Step-by-step explanation:

A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.

So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

the number of cards are 52

theoretical probability formula: P = favorable events/ possible events

P = 12 / 52

P = 3 / 13

there are four aces and four sevens in the deck

so favorable events = 4 + 4 = 8

possible eventas = 52

P = 8 / 52

P = 2 / 13

4 0

2 years ago