An isosceles triangle has an angle that measures 98°. Which other angles could be in that isosceles triangle? Choose all that ap
ply.
1 answer:
an isosceles triangle is a triangle with two twin sides, and therefore two twin angles.
if one angle is 98°, well, we can't have another 98° angle because that makes 98+98 = 196°, and the sum of all interior angles in a triangle cannot be more than 180°.
so the other remaining angles must be the twin smaller angles, namely 180 - 98 = 82, and each twin takes half of that, namely 41°.
Check the picture below.
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Answer:
all work is shown and pictured
The first question asks to find a change in temperature. To find this, we subtract the first temperature from the last. The final temperature here is 35.65 C, while the initial is 24.85 C. Finding the change, we end up with
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
as the heat absorbed by the water.
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
as the heat absorbed by the calorimeter.
Feel free to ask further questions!
To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or
Feel free to ask further questions!
Answer:
340 ways
Step-by-step explanation:
Given:
Total number of oranges = 60
Number of rotten oranges = 4
Number of oranges picked = 3
Now, number of good oranges = Total number - Rotten oranges
= 60 - 4 = 56
Now, we need to pick at least two rotten oranges.
So, the possible outcomes can be as follows:
- 2 rotten oranges + 1 good orange = 3 oranges
- 3 rotten oranges + 0 good orange = 3 oranges
Now, number of ways of picking 'r' distinct objects from a total of 'n' objects is given as:
Now, picking 2 rotten oranges from a total of 4 rotten oranges is:
Similarly, picking 3 rotten oranges from a total of 4 rotten oranges is:
Now, picking 1 good orange from a total of 56 good oranges is:
Picking 0 good oranges means picking no good oranges.
Therefore, the total number of ways of picking at least 2 rotten oranges is the sum of the above two possibilities and is given as:
At least 2 rotten out of 3 picked = (2 rotten and 1 good) or 3 rotten
= 6 × 56 + 4
= 336 + 4 = 340 ways
Therefore, there are 340 ways of picking at least 2 rotten oranges when 3 oranges are picked from a total of 60 oranges.