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3 years ago

13

The perimeter of a square measures 26 cm. What is the length of the side of the square? Sketch a model to show how the length is

related to the area.

1 answer:

Serga [27]3 years ago

3 0

Answer:

The length is 6.5

and the area is 6.5⁴

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Θ is in Quadrant III and cos^2 0= 1/4

pychu [463]

I think you mean to say $\cos^2\theta=\dfrac14$ . If $\theta$ is in the third quadrant, then $\sin\theta$ and $\cos\theta$ . Recall that

$\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}$

We expect $\sin\theta$ to be negative, so we take the negative root. We end up with

$\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2$

We also know to expect $\cos\theta$ , so

$\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12$

By definition, we have

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}$

and so

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

7 0

3 years ago

Find the slope between the following two points: (3, 1), (5, 4).

gulaghasi [49]

Answer:

3/2 or 1.5

Step-by-step explanation:

$slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5$

4 0

3 years ago

Read 2 more answers

A day? 6. If 18 pumps can raise 2150 tonnes of water in 50 days, working 8 hours a day, how much water will be raised in 60 days

Butoxors [25]

Given, 18 pumps----2170 tonnes----10*7 hrs.
So, 16 pumps-------2170 tonnes----10*7*18/16 hrs.
And, 16 pumps-------1736 tonnes----10*7*(18/16)*(1736/2170)hrs. = 63 hrs.

So, no. of days req.= 63/9 = 7 days

5 0

3 years ago

In what quadrant is -14 - 5i located on the complex plane

Mice21 [21]

Put it in standard form, z=a+bi where the point is (a,b)
z=-5i-14
The point would be (-5,-14)
That would be located in the negative x and y coordinates, so it would be in the third or III quadrant.
Hope this helps.

7 0

3 years ago

Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.

Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Given information-

The expression given in the problem is,

$\ln x+2 \ln 5 +\ln1$

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

$\ln x+2 \ln 5 +\ln1$

As the above function is the function of <em>x. </em>Thus it can be written as,

$f(x)=\ln x+2 \ln 5 +\ln1$

<h3>Logarithm power rule</h3>

Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

$f(x)=\ln x+ \ln 5^2 +\ln1\\
f(x)=\ln x+ \ln 25 +\ln1$

Now the value of $\ln 1$ is equal to the zero. Thus,

$f(x)=0+\ln 25 +\ln1\\
f(x)=0+\ln 25 +\ln1\\
f(x)=\ln 25 +\ln1\\
f(x)=\ln 25 +0\\
f(x)=\ln 25$

Hence the expressions which are equivalent to the given expression are,

$\ln25+\ln1$
$\ln25$

Learn more about the equivalent expression here;

brainly.com/question/10628562

5 0

2 years ago

Read 2 more answers