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kiruha [24]
3 years ago
11

find the area and perimeter of a rectangle with a width of 2 1/3inch and a length of 5 2/5inches. show your work please.

Mathematics
2 answers:
Anni [7]3 years ago
5 0
A=LxW, but first you should convert the mixed fractions to improper fractions:
7/3 x 27/5 = 189/15 = 12 6/10 = 12 3/5 square inches

P = L+L+W+W here I would convert to improper fractions, but then you need to find a common denominator.
P = 7/3 + 7/3 + 27/5 + 27/5 = 14/3 + 54/5 = 70/15 + 162/15 = 232/15 = 15 7/15 inches

aleksandrvk [35]3 years ago
4 0
Area: If you multiply 2 1/3 by 5 2/5, you get an answer of about: 12.6, which means the area is about: 12.6in. squared.
Perimeter: If you add 2 1/3+ 2 1/3+ 5 2/5+ 5 2/5 you get an answer of about: 15.47. So, the perimeter is about 15.47in.

Note: If you aren't allowed to use a calculator on this test, you should probably multiply the numbers yourself so you get show the work and get the answer in a fraction, which is probably what they want. If you are allowed to use calculators, all the information you need is right here.
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Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0
3 years ago
Estimate of the number 428731
Naddika [18.5K]
The estimate would be 430000
6 0
3 years ago
The sum of 3 consecutive even integers is 78. What is the largest of the integers?
Maksim231197 [3]

Answer:

is the sum 78 or 7,878 (i.e. was there a stutter)?

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

No stress!  Just logic! Keep the faith!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve your equations below and right the algebraic steps, n/12 = 10
sdas [7]
\frac{n}{12}=10

Multiply both sides of the equation by 12

\frac{n}{12}\times12=10\times12n=\text{ 120}

7 0
1 year ago
Wyatt is enlarging a rectangular drawing using a scale factor of 2.5.<br> 7.4 in<br> 5 in
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It is 2.4 x 2.5 which equals 6 the answer is 6
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