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3 years ago

15

The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 65 yd2. Find the dimensions of the

rectangle.

1 answer:

Law Incorporation [45]3 years ago

7 0

Answer: lenght = 13 yd, width = 8 yd.

Step-by-step explanation: The decision on a photo

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In February, Alec had 1,562 visitors to his website. In March, he had 1,310 visitors to his website. What is the percentage decr

tigry1 [53]

Answer:

16.1% is the percentage decrease.

Step-by-step explanation:

We are given the following in the question:

Visitors in February = 1,562

Visitors in march = 1,310

We have to find the percentage decrease of the number of visitors to Alec's website from February to March.

Percentage decrease =

$=\dfrac{\text{Change}}{\text{Original}}\times 100\%\\\\=\dfrac{1562-1310}{1562}\times 100\%\\\\=\dfrac{252}{1562}\times 100\% = 16.1\%$

Thus, 16.1% is the percentage decrease in the number of visitors to Alec's website from February to March.

6 0

3 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

If

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

3 0

3 years ago

PLEASEE HELP AGAINNNN!!!!<br> If a1 = 4 and an = -4an - 1 then find the value of a6

sertanlavr [38]

The 6th term of the geometric sequence is of -4096.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, we have that:

The first term is $a_1 = 4$ .

$a_n = -4a_{n - 1}$ , hence the common ratio is q = -4.

Thus the 6th term of the sequence is found as follows:

$a_6 = a_1q^5 = 4(-4)^5 = -4096$

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

6 0

11 months ago

Imagine a clock with the hour hand at 12 and the minute hand at 2. does the angle formed by the two hands have a measure greater

myrzilka [38]

Yes it is greater, 1/4 would be a v shape. the question is 90 degrees the other is approximately 25 degrees. hope this helps!

6 0

3 years ago

Please factor 20x^2+11x-4=0

stiks02 [169]

<span>

(-1 + -4x)(4 + -5x) = 0</span>

7 0

3 years ago

Read 2 more answers