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2 years ago

Plz answer 17 16 and 18 show work

Mathematics

1 answer:

malfutka [58]2 years ago

7 0

16. 5(7)+13 /8

35+13/8
48 /8

6 is the answer for 16

17. 45+40= 85
85 is the answer

18. I don’t see 18

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

Find the 11th term of the following geometric sequence.<br> 1, 3, 9, 27, ...

Natasha_Volkova [10]

Answer:

the answer is 59048

Step-by-step explanation:

as the common ratio is multiplying by 3 and the first term is 1 so from the rule (Tn=ar(power n-1 ) )

so the 11th term is 1*3(power 11-1 ) equal 3 power 10 equal 59048

4 0

3 years ago

Is a triangle with 3m 2m 4m a right triangle

lys-0071 [83]

Answer:

Step-by-step explanation:

No it’s not because 4+9 = 16

And 13 < 16 when it has to be 16=16 therefore it is anything but a right triangle

4 0

2 years ago

Write the equation in slope-intercept form. 5x+3y=12

Umnica [9.8K]

5x+3y=12
Subtract 5x from both sides
3y=-5x+12
Divide by 3
Y=-5/3x +4

7 0

2 years ago

Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting

Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

1+3+ 6,
1+ 4+ 5,
2+2+6,
2+3+5,
2 + 4 + 4,
3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

1+3+ 6 : 6 permutations
1+ 4+ 5 : 6 permutations
2+2+6: 3 permutations
2+3+5: 6 permutations
2 + 4 + 4: 3 permutations
3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

1 + 2 + 6: 6 permutations
1+3+5: 6 permutations
1+4+4: 3 permutations
2+ 3+ 4: 6 permutations
2+2 +5: 3 permutations
3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

5 0

3 years ago