The area of the paper used to wrap the gift is 3 3/4 square feet
<h3>How to determine the total area?</h3>
The dimension is given as:
1 1/4 by 3
The area is the product of the dimensions.
So, we have
Area = 1 1/4 * 3
Express as an improper fraction
Area = 5/4 * 3
Evaluate
Area = 15/4
Rewrite as:
Area = 3 3/4
Hence, the area of the paper used to wrap the gift is 3 3/4 square feet
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Answer:
x ≈ 73.3
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos39° = = ( multiply both sides by x )
x × cos39° = 57 ( divide both sides by cos39° )
x = ≈ 73.3 ( to the nearest tenth )
Answer:
(7-2x)3 =9-10x
x= -3
Step-by-step explanation:
we let the number to be x.
twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.
the result is 9 less than 10times the number which is =9-10x.
so bringing all these together we have;
(7-2x)3=9-10x.
what is the number?
solving, we have:
(7-2x)3=9-10x
21-6x=9-10x
21-9= -10x+6x
12= -4x
dividing both sides by -4 we have our number
x= -3.
for proof we can substitute x=-3 into the equation.
21-6(-3) =9-10(-3)
21+18=9+30
39=39
Answer:310
Step-by-step explanation:
l=-1+3w
l=3w-1
l*w=310
(3w-1)*w=310
3w^2-w-310=0
w= 31/3
w= 10 1/3
l=31/3*3-1
l=30
30*31/3=10*31=310
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-6, -1)
Point (6, 2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add:
- Simplify: