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OLga [1]
4 years ago
8

What is the exact value of sin(45)

Mathematics
1 answer:
Salsk061 [2.6K]4 years ago
6 0
The answer is sqrt(2)

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Please help! i cant solve it​
3241004551 [841]

a ≈ 5.2, B ≈ 50°, C ≈ 95°

Solution:

Given data:

A = 35°, b = 7, c = 9

Using cosine law,

a^{2}=b^{2}+c^{2}-2 b c \cos A

a^{2}=7^{2}+9^{2}-2 (7)(9) \cos 35^\circ

a^{2}=49+81-126 (0.82)

a^{2}=26.68

Taking square root on both sides.

a ≈ 5.2

Using sine law,

$\frac{\sin A}{a} =\frac{\sin B}{b}

$\frac{\sin 35^\circ}{5.2} =\frac{\sin B}{7}

Multiply by 7 on both sides.

$\frac{0.5735}{5.2}\times 7 =\sin B

Switch the sides.

Sin B = 0.772

B=\sin^{-1}0.772

B ≈ 50°

Sum of all the angles of a triangle = 180°

A + B + C = 180°

35° + 50° + C = 180°

85° + C = 180°

C = 180° - 85°

C = 95°

Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.

4 0
3 years ago
A city has a population of 72000 people the population is growing at a rate of 3.4% each year. Which function can be used to fin
dsp73

Answer: A = 72000(1.034)^8  

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = initial population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 72000 (1+ 3.4/100) ^8

A = 72000(1.034)^8  

Feel free to ask for more if needed or if you did not understand something

5 0
3 years ago
Y < 3 includes three as a possible solution
irakobra [83]
False...it does not include 3....it includes only numbers less then 3.

For it to include 3, u would need an equal sign in there..
Y < = 3...(thats less then or equal)...this would include 3
6 0
3 years ago
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
4vir4ik [10]
The answer is A.

Hope I helped.
6 0
3 years ago
Read 2 more answers
Evaluate b – 2a – c for a = –7, b = 3, and c = –7.
Novay_Z [31]
Easy
sub
remmeber that (-)(-)=(+)
3-2(-7)-(-7)
3+14+7
24


answer si 24
7 0
3 years ago
Read 2 more answers
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