So the formula for the area of a trapezium is
area = (a + b)/2 * h
*a is the short side
* b is the long side
*h is the height
so let's plug in the values we already know: area, long base, short base. Here's how the formula looks now...
6550 = (150 + 85)/2 * h
*so, we need to find 'h'
use algebra to find it.
6550 = (235/2) * h
6550 = 117.5 * h
6550/117.5 = h
h = 55.74 (approx)
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that 
. Plugging in the values of the two legs given, we get 
. We can take the square root of each side and get that 
.
Answer:
x=2
Step-by-step explanation:
We will use the secant-secant Formula:
(whole secant) x (external part) = (whole secant) x (external part)
(1+x+4) * (x+4) = (11+x+1) * (x+1)
Combine like terms
(x+5) (x+4) = (x+12) (x+1)
FOIL
x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12
Combine like terms
x^2 + 9 x + 20 = x^2 + 13 x + 12
Bring everything to the left
x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)
x^2 + 9 x + 20- (x^2 + 13 x + 12) =0
Distribute the minus sign
x^2 + 9 x + 20- x^2 - 13 x - 12 =0
Combine like terms
-4x +8 = 0
Subtract 8 from each side
-4x+8-8=0-8
-4x=-8
Divide each side by -4
-4x/-4 = -8/-4
x=2
Answer:
in scientific notation it is 1.1017 X 10 ^4
Step-by-step explanation
Answer:
Amelia has the most homework to complete. She has 12 questions left to go. Phoebe has only 9.
Step-by-step explanation:
The easiest way to do this is to figure out the fractions represent how many questions are left.
Phoebe: 1 - 75/100 = 25/100 She has 25/100 left to go.
Emilia: 1 - 2/3 = 1/3 Emilia has 1/3 of the questions left.
Knowing that
Phoebe: 25/100 * 36 = 900/100 = 9. Phoebe has nine questions left.
Amelia: 1/3 * 36 = 12 Amilia has 12 questions left to go.
