See the picture attached to better understand the problem
we know that
<span>the bridge is 10 ft tall and 27 ft long, horizontally
so
BC=10 ft
DE=27 ft---------> DC=27/2----> 13.5 ft
DA=r (radius of the circle)
AC=r-10
Applying the Pythagoras Theorem
DA</span>²=DC²+AC²<span> ------> r</span>²=13.5²+(r-10)²----> r²=182.25+r²-20r+100
20r=282.25--------> r=14.11 ft
the answer isr=14.11 ft
The correct answer would be 4x(2x+3)
Answer:
B. (3, -2)
Step-by-step explanation:
The solution of the system of the equations given, can be determined using the graph. The coordinate of the point where the two lines of both equations intersect is the solution.
Both lines intersect at x = 3, when y = -2.
Therefore, the solution would be (3, -2).
Answer:
Step-by-step explanation:
Independent Variable
The independent variable is the condition that you change in an experiment. It is the variable you control. It is called independent because its value does not depend on and is not affected by the state of any other variable in the experiment. Sometimes you may hear this variable called the "controlled variable" because it is the one that is changed. Do not confuse it with a "control variable," which is a variable that is purposely held constant so that it can't affect the outcome of the experiment.
Dependent Variable
The dependent variable is the condition that you measure in an experiment. You are assessing how it responds to a change in the independent variable, so you can think of it as depending on the independent variable. Sometimes the dependent variable is called the "responding variable."
The formula is A= 1/2b x h
Area = half of the base multiplied by the height of the triangle