Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;
x = 1, y = 5.0125
B) The possible solutions of the given equation will be; x = 3.11 or -3.11
C) The solution to p(x) = g(x) is; x = 0 and y = 0
<h3>How to find the solution to simultaneous equations graphically?</h3>
When we are trying to solve two simultaneous equations, there are three methods we can use namely;
1) Elimination Method
2) Substitution Method
3) Graphical Method
Now, we see that we are to use the graphical method from the given graph.
Now, the solution to the given pair of equation will be the coordinates of the points where both graphs intersect.
A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;
x = 1, y = 5.0125
B) The possible solutions of the given equation will be the point where f(x) = 0 which is where the line crosses the x-axis and so we have;
x = 3.11 or -3.11
C) The solution to p(x) = g(x) is the coordinate;
x = 0 and y = 0
Read more about Simultaneous Equations Solutions at; brainly.com/question/16863577
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Answer:
D
Step-by-step explanation:
19,360 would round to 19,000 and 23,350 would round to 23,000.
You could find the surface area using two different methods, but coming out with the same answer.
Method One: This method involves using an equation that helps finding the surface area for a square pyramid.
The equation: A+(1/2)ps=SA; we should break down what the letters stand for. A=Area of the base; the area of the base is 10×10=100 P= perimeter of the base; 10×4=40 S= Slant height;14
Let's put these values into the equation and find the surface area. 100+(1/2)(40)(14)=100+(20)(14)=100+280=380 The surface area is 380 in².
Method Two: The picture below shows how to lay out the square pyramid so you can find the area of each the shapes, then add them up. There are four triangles and a square.
Triangles: We use the equation (1/2)BH; let's plug the values in. 1/2(10)(14)=1/2(140)=70; there are four triangles, so let's multiply by four to find the area of all four of them triangles together. 70×4=280
Square: It's the side length squared. 10²=100; let's add everything together.
The four triangles+the square= the surface area
280+100=380
So, the surface area is 380 in².
