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-BARSIC- [3]
3 years ago
8

Maryam's rectangular bedroom is 9 feet by 12 feet. What is the diagonal distance from one corner to the opposite corner?

Mathematics
1 answer:
ra1l [238]3 years ago
4 0
Create a right triangle with the the two legs being sides of 9 and 12...then use the Pythagorean theorem to solve

a^2 + b^2 = c^2 

9^2 + 12^2 = c^2
81 + 144 = c^2 
225 = c^2 

Square root both sides to get c = 15 feet.
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Write an inequality to model the situation. a number exceeds 9.
sveta [45]
n > 9 would be the answer

4 0
3 years ago
Read 2 more answers
Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
taurus [48]
I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
4 0
3 years ago
A lot is 21 ft by 30 ft. To support a fence, an architect wants an upright post at each corner and an upright post every 3 ft in
Bogdan [553]
What we know:
Lot= 21 x 30ft
Perimeter=2l+2w
Want to put 4 corner post and one post every 3 ft

What we need to find:
How many post we need.

Perimeter=2 (21)+2 (30)=42+60=102ft

102/3=34

34 posts are needed.
6 0
3 years ago
Simplify: <br> <img src="https://tex.z-dn.net/?f=2%2F5%281%2F3x-15%2F8%29-1%2F3%281%2F2-2%2F3x%29" id="TexFormula1" title="2/5(1
expeople1 [14]

Answer:

16/45x-11/12

Step-by-step explanation:

2/5(1/3x-15/8)-1/3(1/2-2/3x)\\= 2/15x-30/40-1/6+2/9x\\= 16/45x-11/12

3 0
3 years ago
Read 2 more answers
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
leva [86]

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

3 0
3 years ago
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