Answer:
Formula for the volume of a rectangular prism:
V = length x width x height
To solve, substitute the dimensions given in the problem and multiply.
Answer:
x = 2 and y = 1.
Step-by-step explanation:
If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.
5x - 4 = 2y + 4
5x - 2y = 4+4 =8--------(1)
and 5y + 1 = 3x
3x - 5y = 1--------(2)
We multiply equation 1 by 3 and equation 2 by 5
15x - 6y = 24------(3)
15x - 25y = 5------(4)
Now we subtract equation 4 from 3
15x - 6y - (15x - 25 y) = 24-5
15x -6y -15x + 25y =19
19y = 19
y = 1
By putting y = 1 in equation 1.
5x - 2 = 8
5x = 10
x = 2
Answer:
- 2 - 3i
Step-by-step explanation:
given a complex number a + bi
then the conjugate is a - bi
The real part a remains unchanged while the sign of the imaginary part is reversed.
the conjugate of - 2 + 3i is - 2 - 3i
If each runner must run 1/16 of 1/4 mile then you need 4 runners because four runners makes 4/16 points. this number is equivalent to 1/4 which proves this statement true
1 pound = 16 ounces
So we have 85 lbs and 2 oz, that is if we convert them to ounces:
85(16) + 2 = 1362 oz
so we have 1362 oz total due to the conversion factor stated above, now we only need to divide:
1362/6 = 227
that is 227 oz
or if we want the result in pounds (lbs), we can by dividing again by 16
227/16 = 14.19 lbs
