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3 years ago

the length of the rectangle shown above is (x+9). the width of the rectangle is (2x+3). Find the area of the rectangle.

Mathematics

2 answers:

Alja [10]3 years ago

8 0

(x+9)(2x+3)=2x^2+3x+18x+27=2x^2+21x+27

leonid [27]3 years ago

4 0

Answer: Area of rectangle =2x² + 21x + 27

Step-by-step explanation:

Given :

Length of the rectangle = x + 9

Width of the rectangle = 2x + 3

We have to find area of the rectangle ?

Area of rectangle = Length × Breadth

Area of the rectangle = $(x +9) \times (2x+3)$

Area = $x \times (2x+3) + 9 \times ( 2x+3)$

Area =2 $x^{2}$ + $3\times x$ + $9\times 2x$ + $9\times 3$

Area = $2x^{2}$ + $3x$ + $18x$ + $27$

Area = $2x^{2} + 21x + 27$

∴ Area of rectangle = $2x^{2} +21x+ 27$

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3 years ago

The angles of a triangle are 128 degrees 5x + 10 degrees + 9x degrees what is the value of x

olganol [36]

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3 years ago

Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 an

vekshin1

The rigorous way to do this would be to compute a few integrals, but less work is usually better. Each of these probabilities correspond to the areas of rectangles. Each rectangle will have a height of 1, and the probability of interest will tell you everything you need to know about their lengths.

$\mathbb P(0\le X\le0.4)\implies \text{length}=0.4\implies\mathbb P(0\le X\le0.4)=0.4\times1=0.4$

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Alternatively, you can use the fact that $\mathbb P(0.4\le X\le 1)=1-\mathbb P(0\le X\le 0.4)$ to get the same result.

$\mathbb P(X>0.6)=\mathbb P(0.60.6)=0.4$

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3 years ago

In a survey of 400 randomly selected people, it was determined that 22 play soccer. What is the probability that a randomly sel

insens350 [35]

Answer:

5.5% probability that a randomly selected person plays soccer

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

People surveyed who play soccer, so $D = 22$

Total outcomes:

Total people surveyed, so $P = 400$

What is the probability that a randomly selected person plays soccer?

$P = \frac{D}{T} = \frac{22}{400} = 0.055$

5.5% probability that a randomly selected person plays soccer

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3 years ago

Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells. About how many times greater is the number of re

kifflom [539]

Answer:

1.5 rounded to the nearest tenth

Step-by-step explanation:

To find how much greater WBC are from RBC we do,

3.92 ÷ 2.6

= 1.50769230769

Which is 1.5 rounded to the nearest tenth.

Thus,

there are approximately 1.5 times WBC than RBC.

Hope this helps :)

4 0

3 years ago