Line a and b are parallel
Answer:
14
Step-by-step explanation:
So, if x is length, then x*x*8 is 1568. To solve, you do 1568/8, which gives you 196. The square root of 196 is 14, and 14*14*8 is 1568.
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:
9/20 yes, 4/15 not. See below
Step-by-step explanation:
Pick 9/20 and multiply numerator and denominator by 5:
9/20 = 45/100
We know that if we divide a number by 100 we need to move the coma as two places left, so:
9/20 = 45/100 = 0.45
And this is a terminal decimal as we know where it ends.
On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):
4 |_ 15
we can divide 4 by 15, so we use 40 and begin with a comma
40 |_ 15
0.
15 enters 2 times in 40 with a rest of 10, so:
40 |_ 15
30 0.2
100
100 divided by 15 is 6 and we have 10 as rest again, and again and again...
40 |_ 15
30 0.266.....
100
100
....
So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...
Answer:
Yeah, the base is -7
Step-by-step explanation:
