Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Answer for the first one - it's complicated, but that maths is correct
I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.
since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.
Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
Step-by-step explanation:
you find the blank number by finding the pattern. on number 9 the number increases by 10 every time. you find the mean by adding all the numbers on question 9 and finding the average.
example say its 0 5 10 _ 20 25
you can assume the blank is 15 because the pattern is +5
then you add all of them together which is 75
then you find the average or mean. you find this by dividing it by the numbers you started off with. with this example you divide it by 6 because we started with 6 numbers.
the mean would be 12.5
hope this helped
The pattern is increasing by 10 then a ding 1 to the next number. Hope this helps! :)
Step-by-step explanation:
Since the powers are equal you can write the expression as a one root
But we cannot get 9 out since the square root of 9 is 3 which is second power (3^2) and the power of the root is 4
Holpe this helps, if you need further explanation you can ask.
