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horrorfan [7]
3 years ago
7

A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimete

r of this base is 900 feet. What are the dimensions of the base?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

  • Length of the rectangular base is 70 ft less than three times the width;
  • Perimeter of the rectangular base is 900 ft

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

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Consider three events A, B and C with following properties.
lisov135 [29]
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
5 0
3 years ago
Erm I don't understand-
Lana71 [14]

Answer:

1. (7+3)/2

2. 6, 3

3. 5/6

4. 500, 4000

Step-by-step explanation:

1. We are adding 7 and 3 so use the plus sign, THEN we divide by 2

Because we are adding first, put parentheses  

(7+3)/2

2. Nearest whole means whole number (so basically no decimal)

5.823 --> 6 (because 8 is closer to 10 than 0)

3.147 --> 3 (because 1 is closer to 0)

3. 1/3+1/2

Find a common difference, which is 6

Multiply to get 6

1/3*2= 2/6

1/2*3=3/6

3+2=5/6 (when adding keep denominator the same)

4. There are 100 centimeters in a meter

5*100= 500 centimeters

There are 1000 grams in a kilogram

4*1000= 4000 grams

Hope this helps, lemme know if somethings still unclear!!

6 0
3 years ago
A total of 907 went to a fishing tournament. Of these people, 626 arrived before noon. Alina estimates that fewer that 300 peopl
larisa [96]
She estimated by rounding 907 -> 900 and 626 -> 630 and when you subtract them, you get 270, which is how she estimated >300 people would arrive in the afternoon
5 0
4 years ago
Read 2 more answers
Discrete or continuous ​
LUCKY_DIMON [66]

i think the answer is contionous

7 0
2 years ago
Help please thank you!
Maslowich

the error is that they didnt add the exponets

6 0
3 years ago
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