Answer:
2880
Step-by-step explanation:
The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.
The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. <u>10 x 4 = 40.</u>
Now we have a 10 by 10 square: <u>10 x 10 = 100. </u>
So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.
The surface area of the sides are solved by <u>12 x 50 = 600. </u>Together, the sides equal 1200.
The top is solved by <u>10 x 50 = 500.</u>
The bottom is solved by <u>18 x 50 = 900.</u>
Add them all together: 280 + 1200 + 500 + 900 = 2,880
Answer:
x = amount of pure acid to be added = 6.67ml
Step-by-step explanation:
George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?
let
x = amount of pure acid to be added
15% of 50 + x = 25% of 50 + x
(0.15 * 50) + x = 0.25(50 + x)
7.5 + x = 12.5 + 0.25x
Collect like terms
x - 0.25x = 12.5 - 7.5
0.75x = 5
x = 5/0.75
x = 6.6666666666666
Approximately,
x = 6.67
x = amount of pure acid to be added = 6.67ml
Answer:
and 
are two such planes.
Step-by-step explanation:
To find the two planes whose intersection is the line
You can say that <em>t</em> is equal to this expression
Next,
Then,
and are two such planes.
You can see in the image attached that the intersection of this planes is the line
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Substitute:</u>
into
<u>Swap the sides:</u>
<u />
<u>Divide both sides of the equation by the coefficient of variable:</u>
<u />
<u>Cross out the common factor:</u>
<u />
<u>Find the equation of the function:</u>
<u />
<u>Substitute:</u>
<u />
<u>Calculate the product or quotient:</u>
<u />
