Answer:
231.7 cm^2
Step-by-step explanation:
We can find the area by adding the area of the rectangle to the area of the 2 triangles.
The rectangle is
7+7+7 by 9
21 by 9
A = length * width
A = 21*9
A = 189
The triangles are identical so we find the area of one of them and multiply by 2
The base is 7 and the height is 6.1
A = 1/2 b*h
but since we have 2 of them
2A = 2*1/2 b*h
2A = b*h
2A = (7* 6.1)
= 42.7
Add the rectangles area to the area of the two triangles
189 + 42.7
231.7 cm^2
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
Answer:
12 L 500 mL
Step-by-step explanation:
First, multiply the two types of bottles separately.
5 × 400 = 2000 mL
7 × 1.5 = 10.5 L
You can convert the volume of the first from milliliters to liters. There are 1000 milliliters in 1 liter. In the second volume, you can convert the decimal to milliters.
2000 mL = 2 L
0.5 L = 500 mL
Add all of the numbers together.
10 L + 2 L + 500 mL = 12 L 500 mL
Tony purchased 12 L and 500 mL of water.
Answer:
x=-5, y=5 or (-5,5)
Step-by-step explanation:
We can do elimination with this
this means we should first multiply -5x-4y=5 by 2
this would make it -10x-8y=10
we can now subtract this from the original equation
-8x-8y=0 - (-10x-8y=10)
the ys would cancel out
so this would equal
2x=-10
x=-5
now we can plug this back into the equation to find y
-8(-5)-8y=0
40-8y=0
-8y=-40
y=5
