Graph the linear equation y=2x+4
1 answer:
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Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
The equation is 0.1x + 0.15(50-x)=1.20(50)
Step-by-step explanation:
Here you need 50ml of 12% alcohol solution.
You have 10% and 15% alcohol solutions.
Take volume of 10% alcohol solution to be x ml
Take volume of 15% alcohol solution to be y ml
Form equations;
x+y=50 ml--------------------------equation 1
0.1x +0.15 y= 12% of 50
0.1x+0.15y=6-----------------------equation 2
Now you have simultaneous equations, use a graph tool to solve for values of x and y as attached.
or use the mixture equation the get value of x
0.1x + 0.15(50-x)=1.20(50)
The values of x and y are ;
(x,y) (30,20) which means;
y is 20 ml of 15% alcohol
x is 30 ml of 10% alcohol
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Keywords : concentration, mixture
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