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harina [27]
3 years ago
5

Which dimensions can create more than one triangle? A. Three angles measuring 75 degrees, 45 degrees, and 60 degrees. B. Three s

ides measuring 7m, 10m, 12m. C. Three angles measuring 40 degrees, 50 degrees, 60 degrees. D. Three sides measuring 3 cm, 4cm,5cm
Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0

The answer is C

Because the sum of the angles are not up to 180

which makes way for other angles.

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QUESTION
Lorico [155]
1. For this item we just refer to the prompt to know the conjectures of Ernest and Denise. According to Ernest, they should swim 1 kilometer on the first week then add 0.25km every week while Denise believes that they should swim 1 kilometer on the first week then add 0.5km every week.

2. Yes, these distances make an arithmetic sequence. It's because an arithmetic sequence is defined as a group of increasing or decreasing numbers where the difference between any two consecutive numbers is constant. This just means that every number has the same interval. In the case of their schedule, this is true.

3. For this item we just follow the descriptions of Ernest's and Denise's schedule in item number 1. For Ernest, we just keep adding 0.25 from 1 kilometer until we added it thrice. For Denise, we also keep adding a number thrice but this time it's 0.5 instead of 0.25.

Ernest's Schedule: 1, 1.25, 1.5, 1.75
Denise's Schedule: 1, 1.5, 2, 2.5

4. Here we are asked to determine a formula that will describe the schedules of Ernest and Denise. In the given formula a_{n}= a_{n-1}+d, a_{n} refers to the next term in the sequence, a_{n-1} refers to the previous term, while d refers to the common difference. In the recursive formula all we need is to insert the value of d to the equations.

Ernest: a_{n}= a_{n-1}+0.25
Denise: a_{n}= a_{n-1}+0.5

5. For this item we basically do the same thing but this time we are given another formula. Our formula is in the form a_{n}= a_{1}+(n-1)d where a_{n} is still the nth term of the sequence, a_{1} is the very first time, n is the number of terms, and d is the common difference. 

Ernest: a_{n}= 1.0+0.25(n-1)
Denise: a_{n}= 1.0+0.5(n-1)

6. In this item we will just basically substitute numbers to one of the equations that we've set up in item #5. For this we need Ernest's explicit formula first. To know how far they will be swimming on week 10, the number of elements (n) must be 10.

a_{10}= 1.0+0.25(10-1)
a_{10}= 1.0+0.25(9)
a_{10}= 1.0+2.25
a_{10}= 3.25

7. Here, we just do the same thing as item #6 but this time we will consider Denise's explicit formula. Since we are also asked how far the students will be swimming on week 10, the number of elements would also be 10 and this would also be our value for n.

a_{10}= 1.0+0.5(10-1)
a_{10}= 1.0+0.5(9)
a_{10}= 1.0+4.5
a_{10}= 5.5

8. The answer for this question is obvious. You would just need to look at the 10th element in Ernest's and Denise's sequences and tell whose schedule had more than or equal to 5 as an answer. Following Ernest's schedule, you will just get 3.5 kilometers on the 10th week so it's definitely a no. Denise's schedule, on the other hand, would get you to 5.5 kilometers on week 10 so her training schedule should be followed.
7 0
3 years ago
Solve the literal equation for x. <br><br> k= nx - 3x
Amiraneli [1.4K]

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

7 0
2 years ago
Read 2 more answers
Two number cubes are rolled.
hichkok12 [17]

Answer:

When two number cubes  are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = \frac{\text{Total favorable outcome}}{\text{Total possible outcome}}

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= \frac{3}{36}=\frac{1}{12}

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)=\frac{6}{36}=\frac{1}{6}

6 0
3 years ago
Read 2 more answers
A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo
NeTakaya
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form
4 0
3 years ago
BRAINLIEST! Algebra 2 4 questions with pictures.
Inga [223]

Answer:

1. y=2x-2

Because the slope is 2 over 1. and the y-intercept is at -2.

2. I think is y=1/5x-2

4 0
3 years ago
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