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bogdanovich [222]
2 years ago
6

The top rectangle has a base b and a height h. The bottom rectangle has a base that is 1/3 of the length of the base of the top

rectangle and a height that is 1/2 of the length of the height of the top rectangle. Devin writes the area of the smaller rectangle as the product 1/3b times 1/2h. Tracy rewrites this as 1/6bh. Which of the students’ expressions makes it easier to see how the areas of the rectangles are related? Explain.

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
5 0

Answer:

Tracy's explanation would be the simplest because 1\6 is half of one third she eliminated the need for an extra step if left the other way

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Find the area of a rectangle that measures 3 feet by4 inches give the area. In square inches
frutty [35]

Answer:

Area of the rectangle = 144 square inches

Step-by-step explanation:

Area of a rectangle = length × width

Width = 4 inches

Length = 3 feet

1 feet = 12 inches

3 feet = 36 inches

Area of a rectangle = length × width

= 36 inches × 4 inches

= 144 square inches

Therefore,

Area of the rectangle = 144 square inches

3 0
3 years ago
Sequences and Series precalc multiple choice, will give brainliest.
Gala2k [10]

9514 1404 393

Answer:

  False

Step-by-step explanation:

The given formula is the "explicit" formula for the sequence.

The recursive formula would be ...

  a[1] = 160

  a[n] = 1/2·a[n-1] . . . . each term expressed in as a function of previous terms

The given statement is false.

8 0
3 years ago
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
A bag contains 35 coins, some dimes and some quarters. The total amount of money in the bag is $4.85. How many dimes and how man
miskamm [114]

Answer:

9 quarters and 26 dimes

Step-by-step explanation:

your welcome :)

5 0
1 year ago
PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0
3 years ago
Read 2 more answers
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