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masha68 [24]
3 years ago
8

Three tables are placed side by side. One table is 2 feet 2 inches wide, another is 4 feet 9 inches wide, and the third is 2 fee

t 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than 12 for inches
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
Nine feet ten inches hopes this helped
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How do I solve this? It says solve each right angle and then to round answers to the nearest tenth.
mariarad [96]

Answer:

19.2

Step-by-step explanation:

Add 12 squared to 15 squared(144+225)

Square root the answer(\sqrt{369})

Round to the nearest tenth(19.209)

7 0
3 years ago
If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn f
Step2247 [10]

Answer:  5,499,187,200

<u>Step-by-step explanation:</u>

A coin is tossed 5 times.  

There are two options (heads or tails) so the possible outcomes are: 2⁵

A six-sided die is rolled 4 times.

There are six options so the possible outcomes are: 6⁴

A group of 3 cards are drawn (without replacement).

The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50

Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:

     2⁵ x   6⁴  x  52 x 51 x 50

=   32 x 1296 x 132,600

=  5,499,187,200

3 0
3 years ago
1.    An AP has a common difference of 3.  Given that the nth term is 32, and the sum of the first n terms is 185, calculate the
netineya [11]

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a_{n} = a + (n - 1)d

  • a is the first term
  • d is the common difference between each 2 consecutive terms
  • n is the position of the term

The formula of the sum of nth terms is S_{n} = \frac{n}{2} [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a_{n} = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S_{n} = 185

→ Substitute the value of S_{n} and d in the 2nd rule above

∵ 185 = \frac{n}{2} [ 2a + (n - 1)3]

∴ 185 = \frac{n}{2} [2a + 3(n) - 3(1)]

∴ 185 = \frac{n}{2} [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

4 0
3 years ago
graham's monthly bank statement showed the following deposists and withdrawals: -$25.20,$52.75,-$22.04,-$8.50,$94.11 if graham's
dezoksy [38]
Answer= $138.98

47.86-25.20+52.75-22.04-8.50+94.11=$138.98
3 0
3 years ago
How do you add fractions with a whole number? Please explain the rules of it too! To be marked as brainliest
eimsori [14]
Hello this is how you do it!<3

9/4 = 21/4 therefore, 9/4 = 21/4

24/10 try to reduce the numerator and denominator by a common denominator 24/10 divided 2/2 = 12/5

16/2 divided 2/2 = 8/1 = 8

I hoped that help!<3
6 0
2 years ago
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