Answer:
The hight length : h
The base length : a
Apply the Pythagorean theorem in the right triangle :
h² = 13² - (10/2) = 144
h = √144 = 12 cm
S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²
Step-by-step explanation:
Answer:
Volume = 125 mm^3
Step-by-step explanation:
Here, we want to get the volume of the cube
What we have to do here is to substitute the value of the area
We have this as
:
V = 25^(3/2)
V = (√25)^3
V = 5 * 5 * 5 = 125 mm^3
Answer:
654000 Rupees
Step-by-step explanation:
If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day
872 x 50 = 43600
We multiple that number by the amount of days open so is would be 43600 x 15
43600 x 15 = 654000
Therefore it will make 654000 Rupees
Ok so first we find the equation that equals one variable.
2y = -x + 9
3x - 6y = -15
We solve for y.
2y = -x + 9
y = -x/2 + 9/2
Then we plug in this y value into the other equation to keep only one variable so we can solve for it.
3x - 6y = -15
3(-x + 9/2) - 6y = -15
-3x + 27/2 - 6y = -15
-9y + 27/2 = -15
-9y = 3/2
-y = 3/18
y = -3/18
Then we plug in this numerical y-value into the first equation which we found out by solving an equation for y.
y = -x/2 + 9/2
-3/18 = -x/2 + 9/2
-84/18 = -x/2
-x = 9 1/3
x = -28/3
Your answer would be (-28/3, -3/18)
Hope this helps!