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Vesna [10]
3 years ago
9

Solve the inequality. 9 + w7 , I also have to graph it ​

Mathematics
1 answer:
rewona [7]3 years ago
3 0
764521628848484847;8;
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Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

#SPJ1

4 0
1 year ago
How much salt should Ilya add to 810g of water to make 10% solution? How much solution will he make? Ilya should add __g of salt
Burka [1]

Answer:

90 g of water should be added and he will make 900 g of solution.

Step-by-step explanation:

Let x g be the amount of salt Ilya add to 810g of water to make 10% solution. Then 810+x g is the amount of new solution. Thus,

810+x - 100%,

x - 10%.

Mathematically,

\dfrac{810+x}{x}=\dfrac{100}{10},\\ \\10(810+x)=100x,\\ \\8100+10x=100x,\\ \\100x-10x=8100,\\ \\90x=8100,\\ \\x=\dfrac{8100}{90}=90\ g.

So 90 g of water should be added and he will make 810+90=900 g of solution.

5 0
2 years ago
If the circumference of a circle is 37.7 what is the diameter
Arada [10]
The diameter is 12 :)
6 0
3 years ago
Can you guys please help me with this. It is graded. Thanks.
telo118 [61]
The answer is C, $8.15
7 0
3 years ago
Read 2 more answers
16) It cost DJ $32.06 for 14 gallons of gas. What would be the cost if she bought 20 gallons of
fgiga [73]

Answer:

$45.8

Step-by-step explanation:

32.06 / 14= 2.29

2.29x20=45.8

8 0
2 years ago
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