The volume of a rectangular prism is 16.328 cm³. The height is 3.14 cm.
1 answer:
Answer:
The area of the base is = 5.2 cm²
Step-by-step explanation:
<em>First, we need to know the formula to calculate volume:</em>
<em>if we change to our equations to the values we know:</em>
<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>
<em>We calculate the operation=</em>
<em>And the answer is 5.2 cm²</em>
<em>Let me know if you have any question :D</em>
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Answer:
y = -1/2x + 5/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
2 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
5/2 = b
Plug this into your standard equation.
y = -1/2x + 5/2
This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)
Hope this helps!
Answer:
Step-by-step explanation:
First we need to determine the equation of the boundary line.
The line has y-intercept of c=7 and slope .
The slope is given by y=mx+c.
We substitute the slope and intercept to get:
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Since the lower half plane is shaded, with the boundary being a dashed line, the required inequality is