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4 years ago

write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2

Mathematics

2 answers:

Contact [7]4 years ago

8 0

Answer::

2x2 + 6x − 20

Step-by-step explanation:

Ann [662]4 years ago

3 0

The area of the rectangle is $5x^{2} -18x-8$

Explanation:

One side of the rectangle is $x-4$

The another side of the rectangle is $5x+2$

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

$\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}$

Thus, the area of the rectangle is $5x^{2} -18x-8$

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

4 years ago

The Orchard Cafe has found that about 3% of the diners who make reservations don't show up. If 83 reservations have been made, h

daser333 [38]

Answer:

$\mu = 80.51\\\sigma = 1.56$

Step-by-step explanation:

We are given the following information in the question:

Percentage of of the diners who make reservations don't show up = 3%

Number of reservations = 83

Thus, we are given a binomial distribution with n = 83 and p = 0.97

$X\sim \text{ Binom}(p = 0.97, n = 83)$

$\mu = np = (83)(0.97) = 80.51$

Around 81 people can be expected to show up.

$\sigma = \sqrt{np(1-p)} = \sqrt{(83)(0.97)(1-0.97)} = 1.5541 \approx 1.56$

The standard deviation of this distribution is 1.56

6 0

3 years ago

Plz correct me if i'm wrong thx

OLEGan [10]

Answer:

30 fish

Step-by-step explanation:

Each fish needs 1/3 liter of water.

This means that there can be 3 fish in 1 liter of water. There are 10 liters in all. Multiply 3 with 10

3 x 10 = 30

30 fish is your answer.

6 0

3 years ago

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I WILL PICK THE BRAINLIEST FOR WHOEVER HAS THE CORRECT ANSWER!

mart [117]

1. 15

2.150

Prizes you need 1 for every 10 entrees so the difference is 1prize per 10Entrees
150 entrees is what the graph needs to show and /10= 15

7 0

3 years ago

Which value of x make the equation 1.25(4x − 10) = 7.5 true?

Artemon [7]

Answer:

55.76

Step-by-step explanation:

semoga mambantu

7 0

3 years ago

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