Let us suppose the number is x. Now we try to make an algebraic expression going step by step.
Step 1:
Five times the number means 5 multiplied by x.
So it becomes 5x.
Step 2:
Sum of 14 and five times the number means 5x+14.
Step 3:
Number multiplied by -8 means -8x.
Step 4:
Subtract the expression in step (3) from expression in step (2)
5x+14-(-8x)
Now we can simplify it further,
5x+14+8x
Combining like terms,
13x+14
Answer: The final expression becomes 13x+14.
So convert to improper fracitons (improper=x/y where x>y and the current one is mixed where it is in t s/f form) so
40 and 4/5=(40 times 5)/5 and 4/5=200/5 and 4/5=204/5
50 and 7/8=(50 times 8)/8 and 7/8=400/8 and 7/8=407/8
area=legnth times width
legnth =407/8
width=204/5
multiply 407/8 and 204/5
407/8 times 204/5=(407 times 204)/(8 times 5)=83028/40=2075.7 square feet
the answer is 2075.7 ft^2 of seed
Answer:
(9,6)
Step-by-step explanation:
You just take one of the (x,y) pairs and switch the numbers with each other so it's like (y,x)
Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is

which divides out to .894