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Leto [7]
3 years ago
12

Find BC, Round to the nearest tenth

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

<u>Given</u>:

Given that the measure of ∠A is 74°

The length of side b is b = 6.

The length of side c is c = 5.

The length of side BC is a.

We need to determine the value of BC.

<u>Value of BC:</u>

The value of BC can be determined using the law of cosine formula.

Thus, we have;

a^2=b^2+c^2-2bc \ cos (A)

Substituting b = 6, c = 5 and ∠A = 74°, we get;

a^2=6^2+5^2-2(6)(5) \ cos \ 74^{\circ}

a^2=36+25-2(30)(0.28)

a^2=36+25-16.8

a^2=44.2

 a=6.6

Thus, the length of BC is 6.6 units.

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-5+7q+ -5q+ -9q please help
vekshin1

For this case we must simplify the following expression

-5 + 7q + (- 5q) + (- 9q)

We know that, by definition:

+ * - = -

So, rewriting the expression we have:

-5 + 7q-5q-9q =

We add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major's sign is placed:

-5 + 2q-9q =\\-5-7q

Answer:

-5-7q

5 0
3 years ago
I’ll mark brainlest! pls help! :/
alexandr1967 [171]

Answer:

9\sqrt{2}

Step-by-step explanation:

d = \sqrt{(5-(-4)^2+(5-(-4)^2 \\

d = \sqrt{(9)^2+(9)^2

d = 9\sqrt{2}

6 0
3 years ago
Read 2 more answers
There are 100 men and 100 seats, and each person has a pre-assigned seat. However, the first person is randomly assigned (either
olganol [36]

Answer:

1 / 2

Step-by-step explanation:

- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.

- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2

- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.

- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2

3 0
3 years ago
Solve the equation.<br> 5(5x + 1) = 3x - 9x<br> x=<br> (Type an integer or a simplified fraction.)
pogonyaev

Answer:

x = -5/31

Step-by-step explanation:

5(5x + 1) = 3x - 9x multiply 5 with the inside of the parenthesis, 5(5x + 1) = 25x + 5

25x + 5 = 3x - 9x add the like terms, 31x = -5 and x = -5/31

6 0
3 years ago
Simplify 10(x + 4) + 15(x + 1)
motikmotik

Answer:

25x + 55

Step-by-step explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55

8 0
3 years ago
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