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Marina86 [1]
3 years ago
10

A box contains 12 tiles.each tile is shaped like a parallelogram. Each tile has a base of 9 inches and a height of 5 inches. Wha

t is the total area of all the tiles?
Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
Hello!

The area of a parallelogram is A=bh. 

A=9(5)=45

Each tile has an area of 45. Now we multiply by 12 to get the total.

45(12)=540

The total area of all the tiles is 540 in.²

I hope this helps!
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Simplify the radical:<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5x%5E4%7D%20" id="TexFormula1" title=" \sqrt{5x^4} " alt
ziro4ka [17]
Split up the top and bottom into factors and cancel out any common factors.

While we do these problems, it is important to remember this rule:

\sqrt{ab} = \sqrt{a} \sqrt{b}

First, we will split up the top.

\sqrt{5x^4} = \sqrt{5} \sqrt{x^4}

We can't do anything with the square root of 5 because it is in it's simplest form. But, we can still split up the square root of x^2

\sqrt{5} \sqrt{x^4} = \sqrt{5} \sqrt{x^2} \sqrt{x^2}

Now we can simplify.

\sqrt{5} \sqrt{x^2} \sqrt{x^2} = \sqrt{5} x * x

\sqrt{5} x * x = \sqrt{5}x^2

The top is done, now for the bottom one.

\sqrt{10x} = \sqrt{10} \sqrt{x}

We can't simplify either the square root of 10 or the square root of x.
So, the top is done, too.

Find any common factors and cancel them out.

\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}}

Well, I can't find any common factors to cancel out, but, we can still simplify it further.

There is another law regarding radical expressions:

\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}

Using this, simplify the expression further.

\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}} = \sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}}

\sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}} = \sqrt{\frac{1}{2}} \frac{x^2}{\sqrt{x}}

So, now it is in it's simplest form.
5 0
3 years ago
Consider this polynomial, where a is an unknown real number.
DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
3 years ago
A square garden has sides that are 9 meters long. Fencing costs $9.16 per meter. How much would it cost to put a fence around th
Rama09 [41]
It would cost $329.76 hope i helped. 
4 0
4 years ago
Find the area of the triangle.
krek1111 [17]

Answer:

answer is 17.5cm²..this might help you out..

7 0
4 years ago
Read 2 more answers
Can I get help on this
antoniya [11.8K]

Answer:

2/3

Step-by-step explanation:

Ratio is 2:3 since we have 6 and 9 for width. We can refer to 1:2:3 as 3:6:9, and apply the same thing for length 8 to where we have 4:8:12.

7 0
4 years ago
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