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2 years ago

Help need pls anewer 1-4

Mathematics

2 answers:

Art [367]2 years ago

7 0

Answer:

1. width is w. length is w + 26

$w \times (w + 26) < 2040$

3. the width must be less than 34

4. sure, if the width is 10, then the area is 360

Step-by-step explanation:

$w \times (w + 26) < 2040$

never [62]2 years ago

7 0

Answer:

Step-by-step explanation:

1) Width = w ft

Length = ( w + 26 ) ft

2) Area of floor = length *width

(w + 26)*w < 2040

w*w + 26*w < 2040

w² + 26w - 2040 < 0

3) w² - 34w + 60w - 2040 < 0

w(w - 34) + 60(w - 34) < 0

(w -34)(w + 60) < 0

Ignore w +60 as width wont have a negative value.

w - 34 < 0

w < 34

l = 33 + 26 = 59

Width = 33 and length= 59

Area = length * width = 33 * 59 = 1947 sq. ft

Area ≤ 1947

4) Yes.

If width = 10 , length = 26 + 10 = 36

36* 10 = 360 sq. ft.

So, if it possible to have a n area of 360 sq. ft

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What is the explict rule for the sequence 12,22,32,42

icang [17]

The explicit rule for given sequence is:

$a_n=2+10n$

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

If the difference of two consecutive terms is same then the sequence is arithmetic sequence
If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42

$a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10$

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference$

Putting the values of a1 and d

$a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n$

The explicit rule for given sequence is:

$a_n=2+10n$

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago

Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 10 inches. What is the approximate circumference Of a

mihalych1998 [28]

Answer: 31.42 inches.

Step-by-step explanation:

Since the circumference of a circle equation is C = πd (also C = 2πr, in which 2*r = d), you can just substitute d = 10.

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3 years ago

1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and se

Sladkaya [172]

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = $\frac{1}{2} \;pounds = 0.5 \;pounds$

The total weight would be less than 25 pounds.

Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25

Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42

Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

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3 years ago

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