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Katen [24]
3 years ago
9

In a triangle ABC if angle a = 60 °,angle b= 60° then find c​

Mathematics
1 answer:
Mkey [24]3 years ago
4 0

c = 60

Step-by-step explanation:

A triangle is a figure that has sum of all angles equals to 180

i.e ,

Angle A + Angle B + Angle C = 180

60 degree + 60 degree + Angle C = 180

Angle C = 180 - 60 - 60

Angle C = 60

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suppose you have a dime, two pennies, and a quarter. one of the pennies was minted in 1976, and the other one was minted in 1992
notsponge [240]

The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

<h3>How to Solve Counting Problems?</h3>

A) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.

Now, if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.

If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.

If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.

Therefore, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.

b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.

If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums (ten cents, one cent, or twenty-five cents.)

If you choose two coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DP, DQ, PQ, Q1Q2. This gives us 4 possible sums (11 cents, 35 cents, 26 cents, or fifty cents.)

If you choose three coins, you could choose the following sets of coins (since Q1 and Q2 are the same coin value, we can say Q for any instance where either one of these coins would be a possibility): DPQ, DQ1Q2, PQ1Q2. This gives us 3 possible sums (36 cents, 60 cents, or 51 cents).

If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum (61 cents.)

Therefore, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.

c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). The reason they are treated as one coin is because they both contribute the same amount to the sum of money.

Read more about Counting Problems at; brainly.com/question/13875198

#SPJ1

3 0
2 years ago
The 2000 population of a city was 710​,000 and was increasing at the rate of 1.49 % each year. At that​ rate, when will the popu
AlekseyPX

Answer:

23.1567

Step-by-step explanation:

710000(1+1.49/100)ⁿ=1000000

710000×1.0149ⁿ=1000000

1000000÷710000=1.0149ⁿ

1.4084507=1.049ⁿ

log1.4084507=ⁿlog1.0149

log1.4084507/log1.0149=ⁿ

7 0
3 years ago
HURRY! Match each function with the correct inverse of the function. BEST &amp; FASTEST ANSWER GETS BRAINIEST ANSWER!!!!!!!!!
sertanlavr [38]
2 1 3 6 5 hope I helped
4 0
3 years ago
A recipe for lemonade calls for ½ quarts of lemon juice and ¾ cups of sugar. How much lemon juice is needed for 7.5 cups of suga
Ugo [173]

Answer:

5

Step-by-step explanation:

3/4*10=7.5, so 1/2*10 is the amount of lemon juice you need, which is 5

5 0
3 years ago
What are the x and y-intercepts of the line described by this equation? -6x+3y=18.9?
Naddika [18.5K]

The "x" intercept is found when you plug in "0" for "y"
  -6x + 3(0) = 18.9
        -6x = 18.9  (Divide both sides by -6)
           x = - 3.15
           (-3.15, 0)  is your x-intercept

Now plug in "0" for the x
-6(0) + 3y = 18.9
          3y = 18.9  (Divide both sides by 3)
                y = 6.3
               (0, 6.3) is your y - intercept






































5 0
3 years ago
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