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Gelneren [198K]
3 years ago
9

the length of a rectangle is 3 cm longer than it’d width. if the perimeter of the rectangle is 38, find it’s area.

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

88 cm²

Step-by-step explanation:

w = x

l = x + 3

P = 38

We know that P=2l+2w, so we substitute known values:

P=2l+2w\\38=2(x+3)+{2(x)}\\38=2x+6+2x\\38=4x+6\\32=4x\\8=x

Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:

8 + 11 + 8 + 11 = 38. <em>Check.</em>

Thus, the area of the rectangle is:

A=l\times{w}\\A=11\times{8}\\A=88

Therefore, the area is 88 cm².

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A modified roulette wheel has 36 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 34​, respectively.
Elena-2011 [213]

Answer:

P(win) = 0.4722

Step-by-step explanation:

Given

n = 36 --- slots

Even = 17 i.e. even numbers between 1 and 34 (inclusive)

Required

P(win)

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

P(win) = \frac{Even}{n}

So, we have:

P(win) = \frac{17}{36}

P(win) = 0.4722

7 0
3 years ago
Which pair of statements describes the end behavior of the graph of the function f(x) = x3 + 2x2 − 5x − 6?
notka56 [123]

A function assigns the values. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.


The complete question is:

Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?

A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.

B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.

C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.

D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.

If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.

Hence, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
Hey You <br> YES YOU CAN ANSWER THIS PLEASE<br> solve for T: 4 j= -9T
OLEGan [10]
-9T means -9 x T
So if T is equivalent to 4,
you should do:
-9 x 4 = -36
J= -36
8 0
3 years ago
What is the percent of decrease from 100 to 49?<br><br> Write your answer using a percent sign (%).
slavikrds [6]

Answer:

Step-by-step explanation:

Decrease = 100 - 49 = 51

Percentage of decrease =

=\frac{51}{100}*100

= 51%

6 0
3 years ago
I need help on this math problem ​
abruzzese [7]

Answer:

for the first one, simply add g(x) and h(x) :

x+3 + 4x+1 = 5x + 4

the second one, you would multiply them :

(x+3)(4x+1) = 4x^2 + 13x + 3

the last one, you would subtract :

(x+3)-(4x+1) = -3x + 2

and then substitute 2 for 'x' :

-3*2 + 2 = -6 + 2 = -4

8 0
2 years ago
Read 2 more answers
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