Answer:
90 90909090909090909090909090
Answer:
10 mm
Step-by-step explanation:
Using Pythagoras' identity with hypotenuse h
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
h² = 9² + (
)² = 81 + 19 = 100 ( take the square root of both sides )
h = 
= 10
Answer:
yes
Step-by-step explanation:
2 sqrt(3) * sqrt(12)
Rewriting sqrt(12) as sqrt(4 *3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)
2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)
=4 * (sqrt(3) )^3
= 4 *3
=12
Answer:
y = 3
x = 2 - z
Step-by-step explanation:
We have the system:
2*x+y+2*z=7
2*x-y+2*z=1
5*x+y+5*z=13
In the first and second equations we have the term (2*x + 2*z) = A
Then we can rewrite the first two equations as:
A + y = 7
A - y = 1
isolating A in the first equation, we get:
A = 1 + y
Now we replace this in the other equation:
(1 + y) + y = 7
1 + 2*y = 7
2*y = 6
y = 3.
then:
A + y = 7
A + 3 = 7
A = 7- 3 = 4
A = 2*x + 2*z = 4.
Now let's go to the third equation:
(5*x + 5*z) + y = 13
we can rewrite the thing inside the parentheses as:
(5/2)*(2*x + 2*y) + y = 13
And we know that:
2*x + 2*z = 4
y = 3
then this can be written as:
(5/2)*(4) + 3 = 5*2 + 3 = 13
Then we can conclude that:
y = 3
2*z + 2*x = 4
2*(z + x) = 4
(z + x) = 4/2 = 2
x = 2 - z
Notice that the solution is not only a point, we have infinite solutions for this problem.
Answer:
20. J, 21. B
Step-by-step explanation:
20. P = 15 (2) + 8 (2)
P = 36 ft.
21. 15 - 6 = 9 ft.
