Answer:
144
Step-by-step explanation:
108 plus 36 then you will get 144
The figure on the left side shows the water level is at the 0.5 liter mark, ie half a liter.
1 liter = 1000 mL
0.5*1 liter = 0.5*1000 mL
0.5 liter = 500 mL
If you poured all the water into the jug on the right (without spilling), then the water level should reach the 500 mL mark. This is the small tickmark exactly halfway between the 400 and 600.
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
Answer:
c)
Step-by-step explanation:
(-4,2) ; (4,-5)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5-2%7D%7B4-%5B-4%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B4%2B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B8%7D)
m = -7/8 ; (-4,2)
equation: y - y1 = m(x - x1)
![y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x-%5B-4%5D%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x%2B4%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7Dx%20%2B%5Cfrac%7B-7%7D%7B8%7D%2A4%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B3%7D%7B2%7D%5C%5C)