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Jet001 [13]
3 years ago
11

The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rect

angle.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

W = 11/2, L = 14 sq ft

Step-by-step explanation:

Area = 77ft

L = length, W = width

L = 3 + 2W

L * W = 77

Plug W in to find the L

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The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was red
Shtirlitz [24]

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

6 0
2 years ago
Find the length of side x in simplest radical form with rational denominator.
DaniilM [7]

Answer:

sqrt(20)

Step-by-step explanation:

The two perpendicular side lengths are equal, so using Pythagoras theorem:

x = sqrt( sqrt(10)^2 + sqrt(10)^2 )

x = sqrt(10 + 10)

x = sqrt(20)

8 0
3 years ago
Need help with Calculus 1 inverse trig functions
lidiya [134]

Answer:

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}

Where u is a function of x as provided:

y=3tan^{-1}(x+\sqrt{1+x^2})

If we set

u=(x+\sqrt{1+x^2})

Then

\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}

\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}

Taking the derivative of y

y'=3[tan^{-1}(x+\sqrt{1+x^2})]'

Using the change of variables

\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}

\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}

Operating

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}

\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}

8 0
3 years ago
This composite figure is made up of three simpler shapes. What is the area of the figure? 7 cm 4 cm 5 cm 4 CE 8 cm A. 66 square
kirza4 [7]

The total area of the given figure will be 66 square cm.

<h3>What is an area? </h3>

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

To know more about the area follow

brainly.com/question/24375372

#SPJ1

5 0
2 years ago
White three measurements using Grams and three measurements using Milligrams that total 15.4 grams.
zhuklara [117]
1 gram = 1000 milligrams

a) You can pick any 3 <u>gram</u> numbers that add to 15.4 grams
For example, 5 , 3, 7.4 = 15.4 grams

a) You pick any 3  <u>milligram</u> numbers that add to 15.4 grams (or 154,000 milligrams)
For example, 50,000, 70,000, 34,000 = 154,000 milligrams


4 0
3 years ago
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