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raketka [301]
1 year ago
9

If the area of a rectangle equals 30 cm² and the perimeter is equal to 26 cm. Find the length and width of the rectangle.​

Mathematics
1 answer:
Kamila [148]1 year ago
8 0

Answer:

Length = 10 & width = 3

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

26 = 2Length + 2 Width

26 = 2 ( Length + Width )

13 = Length + width

13 - Length = Width EQUATION 1

Area = Length X Width

30 = Length X ( 13 - Length )

30 = 13Length - Length ^2

Length ^2 - 13Length + 30 = 0

( Length - 3 )( Length - 10 )

Length = 3 or Length = 10

Therefore Length = 10

From equation 1

13 - Length = Width

13 - 10 = width

width = 3

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Answer:

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Step-by-step explanation:

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3 years ago
Erin bought a $205 smart phone, but her total was $217.30. What percent sales tax did she pay?
andrey2020 [161]

Answer:

6.00 %

Step-by-step explanation:

205.00 × 0.060= 12.3

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2 years ago
(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term
kolbaska11 [484]

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

3 0
3 years ago
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
Vladimir [108]

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3/8

Step-by-step explanation:

5 0
2 years ago
1. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing
dybincka [34]

Given:

Consider the below table attached with this question.

Every square meter of ceiling requires 10.75 tiles.

To find:

The missing values in the table.

Solution:

We have,

1 square meter of ceiling =  10.75 tiles.      ...(i)

Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.

Multiply both sides by 10.

10×1 square meter of ceiling =  10×10.75 tiles.

10 square meter of ceiling =  107.5 tiles.

Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.

Divide both sides by 10.75 in (i).

\dfrac{1}{10.75} square meter of ceiling = 1 tile.

Multiply both sides by 100.

\dfrac{100}{10.75} square meter of ceiling = 100 tiles.

On approximating the value, we get

9.3 square meter of ceiling = 100 tiles.

Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.

Multiply both sides by a in (i).

a×1 square meter of ceiling =  a×10.75 tiles.

a square meter of ceiling =  10.75a tiles.

Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.

8 0
2 years ago
Read 2 more answers
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