Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
![\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%5E2%3D6%5E2%2B8%5E2%20%5C%5C%20l%5E2%5Ctext%7B%20%3D%2036%20%2B%2064%7D%20%5C%5C%20l%5E2%5Ctext%7B%20%3D100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%2010%20mm%7D%20%5Cend%7Bgathered%7D)
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;
![\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%5E2%3D5%5E2%2B10%5E2%20%5C%5C%20d%5E2%5Ctext%7B%20%3D%2025%20%2B%20100%7D%20%5C%5C%20d%5E2%5Ctext%7B%20%3D%20125%7D%20%5C%5C%20d%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B125%7D%20%5C%5C%20d%5Ctext%7B%20%3D%20%7D11.2%5Ctext%7B%20mm%7D%20%5Cend%7Bgathered%7D)
Step-by-step explanation:
<h2><u>☼︎</u><u>Given :</u></h2>
- The floor of a drawing room consist of 2000 tiles .Each tiles is rectangular in shape , of dimensions ,30 cm × 20 cm.
<h2><u>☼︎</u><u>To Find :</u></h2>
<h2><u>☼︎</u><u>Solution :</u></h2>
<u>~ Formula </u><u>U</u><u>s</u><u>e</u><u>d</u><u>:</u>
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
<u>~ Calculating the</u><u> Area of Tiles </u>
<u>~ Calculating Area of the </u><u>Drawing Room :</u>
<u>~ Therefore :</u>
❝ Area of the Drawing room is 1200000 cm² or 12000 m² . ❞
Answer:
Here is your solution-
x³ times x⁷
means, x³×x⁷
Here you just have to add the powers as aⁿ×aᵐ=aⁿ⁺ᵐ
x³⁺⁷
x¹⁰
Use Picture Math, i cant type in the other cause brainly doesn't accept it but it is Ga_thMath. (u)
Answer:
5q^7
Step-by-step explanation:
When multiplying exponents(if positive), you must add them together. So, (5q^4)³ will be 5q^7 because the exponents were positive and they were multiplying so you add them together and leave the variable and number 5 alone.
Hope this helps! :)
