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a_sh-v [17]
4 years ago
12

A rectangle has an area of 36 square inches and a perimeter of 30 inches. Find the dimensions of the rectangle.

Mathematics
1 answer:
Stels [109]4 years ago
3 0

Answer:

3 inches by 12 inches

Step-by-step explanation:

Length = L

Width = W

LW = 36

L = 36/W

2(L + W) = 30

2(36/W + W) = 30

36/W + W = 15

36 + W² = 15W

W² - 15W + 36 = 0

(W - 3) (W - 12) = 0

W = 3 or W = 12

Therefore the dimension is 3 inches and 12 inches.

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Step-by-step explanation:

8 0
3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

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This is required function that gives the temperature difference in degrees Celsius.

6 0
4 years ago
Read 2 more answers
Divide using long division.<br> (2x2 + 7x + 6) : (x + 2)
Usimov [2.4K]

Answer:

2x+3

Step-by-step explanation:

-2x2 - 7x - 6

--------------------

-x-2

-2x2 - 7x - 6  =   -1 • (2x2 + 7x + 6)

 -x - 2  =   -1 • (x + 2)

 2x2 + 7x + 6

x • (2x+3) and      (x+2)  •  (2x+3)

answer- 2x+3

4 0
3 years ago
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Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.
sergiy2304 [10]
Hello :
if : a <span>≡ 5 ( mod 7) ....(1)
     b </span><span>≡ 6 ( mod 7) ...(2)
(1)×(2) : ab </span><span>≡ 30 ( mod 7)
</span>but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
6 0
3 years ago
Is 272 oz greater than 20 lb
Karolina [17]
We know that 1 lb = 16 oz
So lets convert the 20 lb to oz and then compare the two quantities in consistent units.
If 1 lb = 16 oz then 20 lb are equal to 20*16 oz, that is
20 lb = 20*16 oz = 320 oz
therefore,
320 oz are greater than 272 oz, or,
20 lb are greater that 272 oz
3 0
3 years ago
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