Can someone please help me
1 answer:
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Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
<h3 /><h3>Side 1:</h3>A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
<h3>Side 2:</h3>As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
<h3>Side 3:</h3>A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
<h3>Side 4:</h3>As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
<h3>Side 5:</h3>A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
<h3>Side 6:</h3>As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
<h3>Surface Area:</h3>Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
Answer:
Second point (-5/2, -7/2)
First point (3/2, 17/2)
Step-by-step explanation:
We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.
4x2+ 7x -11=y
3x+4=y
Lets use substitute method
4x2+7x-11=3x+4
This can be re arrange as the following eq:
4x2+4x-15=0
A quadratic equation, its solution can be obtained using the below eq.
where a=4, b=4, c=-15.
Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.
By doing the above, we have x=-5/2 and x=3/2
By using x=3/2 in equation of line (3x+4=y) we have y=17/2
First point (3/2, 17/2)
By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2
Second point (-5/2, -7/2)
Those points are the ones where the line and the parabola intercept.