Answer:
Step-by-step explanation:
Given :
...................... equation 1
........................ equation 2
solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is
collect the like terms
therefore :
substitute into equation 1 to find the value of y , that is
Therefore :
The option that is closest to the greatest possible volume of the box is 420in³
It should be noted that the volume of a shape is used in calculating the amount of substance that the container can be able to hold.
From the information given, we have been told that the sides given are 28 inches by 15 inches. Therefore, in this case, one has to multiply the values of the sides that are given. This will then be:
= 28 inch × 15 inch
= 420 inch³
Therefore, based on the solution given, the value that is closest to the greatest possible volume of the box is 420in³.
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Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for <em>x</em>
- <u>Multiply both sides by 16:</u> x - 2(x + 2) = 32
- <u>Distribute -2:</u> x - 2x - 4 = 32
- <u>Combine like terms:</u> -x - 4 = 32
- <u>Add 4 to both sides:</u> -x = 36
- <u>Divide both sides by -1:</u> x = -36
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
False, trigonometry is not the study of three dimensional shapes.
The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The geometry is the combination of the semicircle and right triangle.
Then the area of the geometry will be
Area = 1/2 x 6 x 8 + π/8 x 8²
Area = 4 x 6 + 3.14 x 8
Area = 24 + 25.12
Area = 49.12 square feet
More about the geometry link is given below.
brainly.com/question/7558603
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