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jolli1 [7]
3 years ago
7

Combine these like terms to create an equivalent expression 9t-3t+4

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

6t+4

Step-by-step explanation:

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A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th
Sedbober [7]

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

4 0
4 years ago
Suppose you pick 6 different numbers in [10]. Prove that 2 of the numbers are next to each other. (Hint: use the pigeonhole prin
Masja [62]

Step-by-step explanation:

We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):

|   1 2   |   3 4   |   5 6   |   7 8   |   9 10  |

So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).

4 0
4 years ago
A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is
anzhelika [568]

A number cube is rolled 120 times. The number 4 comes up 47 times.

We have to determine the experimental probability of rolling a 4.

The formula to evaluate probability of an event is given by:

Probability  = \frac{Favourable outcomes}{Total outcomes}

So, Probability of rolling a 4 = \frac{ Total number of times when 4 appears}{Total number of times number cube rolled}

= \frac{47}{120}

Now, we have to find the theoretical probability of rolling a 4.

Total number of outcomes of number cube = {1,2,3,4,5,6}

Probability of rolling a 4 = \frac{1}{6}

So, Option B is the correct answer.

5 0
3 years ago
Read 2 more answers
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stira [4]
11+4 = 2x-5x
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4 0
3 years ago
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Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

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