Ask question

Ask question

All categories

3 years ago

9

the length of a rectangle is 1 meter less than its width. the area of the rectangle is 42 square meters. find the dimensions of

the rectangle

1 answer:

Keith_Richards [23]3 years ago

5 0

Length - 6 meters
width - 7 meters

You might be interested in

A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’

LuckyWell [14K]

Given that the revenue equation is $R(x)=2.75x$ and the cost equation is $C(x)=0.35x+12,000$

Part A:

At break-even the cost is equal to the revenue.

Thus, the algebraic equation needed to determine when the company will break even is given by

$R(x)=C(x) \\ \\ \Rightarrow2.75x=0.35x+12,000$

Part B:

The solution to part A is given as follows:

$2.4x=12,000 \\ \\ \Rightarrow x=5,000$

Part C:

<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

$R(x)\ \textgreater \ C(x) \\ \\ \Rightarrow2.75x\ \textgreater \ 0.35x+12,000$

Part D:

</span>The solution to part C is given as follows:

$2.4x>12,000 \\ \\ \Rightarrow x>5,000$

Part E:

The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.

3 0

3 years ago

A ball dropped from the top of a building can be modeled by the function

timama [110]

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

4 0

3 years ago

Given ΔSTU≅ΔKLM, complete each of the following statements.

IceJOKER [234]

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangle are congruent.

ΔSTU ≅ ΔKLM

a) TU = LM

b) KM = SU

c) LK = TS

d) ∠M = ∠U

e) ∠T = ∠L

f) ∠UST = MKL

g) ΔUST ≅ ΔMKL

h) ΔTUS ≅ ΔLMK

4 0

3 years ago

Find the 12th term of the sequence which has a first term of 14 and has a common ratio of 1.03. Round your answer to the nearest

wel

Since the series has a common ratio then it is a geometric series.
thus it will follow the explicit formula given by:
an=ar^(n-1)
plugging in the values we get:
an=14(1.03)^(n-1)
thus the 12th term will be:
a12=14(1.03)^(12-1)
a12=19.38

5 0

3 years ago

Help please its timed

igomit [66]

Answer:

15

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

2² + 6(3) - 7

Step 2: Evaluate exponents

4 + 6(3) - 7

Step 3: Evaluate parenthesis (multiply)

4 + 18 - 7

Step 4: Add

22 - 7

Step 5: Subtract

15

7 0

3 years ago