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Andrei [34K]
3 years ago
6

A painting is 20 cm wider than the height and 576 cm² write a representation using variable x ​

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

Answer:

<em>x²   </em>+  20<em>x</em>  -  576  =  0

Step-by-step explanation:

If <em>x </em>is height:

 width = (20 + <em>x</em>)

         area = width  x  height

         576  =  (20 + <em>x</em>)     x      <em>x</em>

<em>          </em>576  =  20<em>x   </em>+ <em>x² </em>

      ∴ <em>x²   </em>+  20<em>x</em>  -  576  =  0

skad [1K]3 years ago
5 0

Answer:

For x = height:

x(x + 20) = 576.

Step-by-step explanation:

The area is 576 cm^

Area = width * height

Let the height be x,  then the width is (x + 20) cm

So the expression for the area can be written

x(x + 20) = 576.

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If a1=10 and an=an-1+4 then find the value of a5
tamaranim1 [39]

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

3 0
3 years ago
mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than
irga5000 [103]

Answer:

56 times (This is still assuming 1 isnt an option)

Step-by-step explanation:

0,2,3,4,5,6,7,8

There are 8 options, 3 of which are greater than 5

3/8

3/8 = x/150

3*150 = 450

8 * x = 8x

8x = 450

450/8  = 56.25

56 times

-- Gage Millar

5 0
3 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
4 years ago
Read 2 more answers
Which choice correctly compares the two numbers?
notka56 [123]

Answer:

A) 20.82 > 20.55

Step-by-step explanation:

Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.

The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.

So, the meanings of the symbols are ...

> — "is greater than"

< — "is less than"

The only true statement of those listed is ...

20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A

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When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.

You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...

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You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.

3 0
3 years ago
What does the expression 5 minus n represent? (Please I need help bad.) 1.) some number more than five 2.) five more than some n
Lelechka [254]

Answer:

4) five less than some number

Step-by-step explanation:

In subtraction the number that is first matters and subtraction phrase is less than, so you can conclude that it's 4) five less than some number.

5 0
3 years ago
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