Answer: 68/67.8 toothpicks
Step-by-step explanation
first convert how many inches 11.3 feet is
11.3 = 135.6 inches
so after you get your number you get your calculator and divide it by how many inches the toothpicks are
135.6 ÷ 2= 67.8
then to get a solid answer you would round it to a whole number
67.8--> 68
so you ether say the rounded number or you cut .2 inches off the last toothpick
(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)
Answer:
Parabola with vertex at point (1,0) that goes to the right (see attached diagram).
Step-by-step explanation:
Let the complex number z be

then

and

Thus,

Square it:

This is the equation of parabola with vertex at point (1,0) that goes to the right.
Answer:
Heavenly, we need the forumula for the area of a triangle, do you know it?
Step-by-step explanation:
Area of a triangle is (1/2 ) * B*H
where B = base
H = height
then
A = 1/2* B * H
A is given to be 20
B = b
H = b+4
plug all those into the formula,
20 = (1/2)*b*(b+4)
use your algebra skillz :P
20 = 1/2 *(
+ 4b)
20*2 =
+ 4b
40 =
+ 4b
0 =
+ 4b-40
rewrite the above so it's in x format
+ 4x -40 = 0
use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P
X = (b±
) / 2*a
a = 1
b = 4
c = -40
x = (4±
) /2*1
x = ( 4±
) / 2
x = (4±
) / 2
x = (4±13.266499)/2
x= 2±6.633249
x = 2 + 6.633249 = 8.633
b= 8.633 cm
Answer:
34 2/3
Step-by-step explanation:
You need 47 yards. You have 12 1/3
47 - 12 1/3. So we'll break it down.
47 - 12 = 35.
Now, 35 + 12 1/3 would make 47 1/3
So now 35 - 1/3=34 2/3
34 2/3 + 12 1/3 = 47
Area of a parallelogram = base x height
So, 10.5 x 7 = 73.5