Answer:
52 ft²
Step-by-step explanation:
When you are calculating the amount of cardboard needed to make a box, you are trying to the the <u>surface area</u>.
The formula for surface area of a rectangular prism is:
SA = 2(lw + hl + wh)
The dimensions for the box are written l X w X h (length times width times height).
We know:
l = 4
w = 3
h = 2
The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.
Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).
SA = 2(lw + hl + wh) u²
SA = 2((4*3) + (2*4) + (3*2)) ft² Multiply within each smaller bracket
SA = 2(12 + 8 + 6) ft² Add inside the brackets
SA = 2(26) ft² Multiply
SA = 52 ft² Final answer
Therefore 52 square feet of cardboard will be needed to make the box.
Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.
Answer:
x= -8 and so y=35.....solving equation
