Answer:
The price now is 300$.
Step-by-step explanation:
The problem is related to percentages.
It is provided that the price of meal at a restaurant a couple of decades (20 years) ago was 100$.
Now the price is 200% more than what it was 20 years ago,i.e. the price increased by 200%.
Compute the new price as follows:
![New-Price=100\$+[100\$\times200\%]\\= 100\$+[100\times\frac{200}{100}]\$\\ =100\$+200\$\\=300\$](https://tex.z-dn.net/?f=New-Price%3D100%5C%24%2B%5B100%5C%24%5Ctimes200%5C%25%5D%5C%5C%3D%20100%5C%24%2B%5B100%5Ctimes%5Cfrac%7B200%7D%7B100%7D%5D%5C%24%5C%5C%20%3D100%5C%24%2B200%5C%24%5C%5C%3D300%5C%24)
Thus, the price of the meal now is 300$.
Alright! To solve this one you first have to find out what 1cm is equal to in km, to do that you have to divide 18km by 3cm:
[18 ÷ 3] = 6.
Now we know that 1cm is 6km. To find how far apart they are on the map you simply divide 54km by 6km:
[54 ÷ 6] = 9.
They are 9cm apart on the map.
Answer:
hope this will help you........
Answer:
Answer is 3(x^2 + 9), when factored.
Step-by-step explanation:
Given:
height = 6m
chord = 20 m
We need to find the radius of the circle.
20 m = 2 √ [ 6m( 2 x radius - 6 m ) ]
20 m / 2 = 2 √<span>[ 6m( 2 x radius - 6 m ) ] / 2 </span>
10 m = √<span> [ 6m( 2 x radius - 6 m ) ] </span>
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ²
100 m²<span> = 6 m( 2 x radius - 6 m ) </span>
100 m²<span> = 12 m x radius - 36 sq m </span>
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m²
136 m²<span> = 12 m x radius </span>
136 m²<span> / 12 m = 12 m x radius / 12 m </span>
<span>11.333 m = radius
</span>
the area beneath an arc:
<span>Area = r</span>²<span> x arc cosine [ ( r - h ) / r ] - ( r - h ) x </span>√<span>( 2 x r x h - h</span>²<span> ).
</span>
<span>r</span>²<span> = (11.333 m)</span>²<span> = 128.444 m</span>²<span> </span>
<span>r - h= 11.333 m - 6 m = 5.333 m </span>
<span>r * h = 11.333 m x 6 m = 68 m</span>²
<span>Area = 128.444 m</span>²<span> x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x </span>√<span>[ 2 x 68 m</span>²<span> - 36 m</span>²<span> ] </span>
<span>Area = 128.444 m</span>²<span> x arc cosine [ 0.4706 ] - 5.333 m x </span>√<span> [ 100m</span>²<span> ] </span>
<span>Area = 128.444 m</span>²<span> x 1.0808 radians - 5.333 m x 10 m </span>
<span>Area = 138.828 m</span>²<span> - 53.333 m</span>²<span> </span>
<span>Area = 85.4 m</span>²
