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skad [1K]
3 years ago
13

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
nordsb [41]3 years ago
3 0

Step-by-step explanation:

here,,

a=3,b=10,C=120°

c^2=a^2+b^2-2ab cos120°

=(3)^2 +(10)^2 _2 (3)(10)(-1/2) [cos120°=-1/2]

=9+100-(-30)

=109+30

=139

c=(139 )1/2=11.79

c=12

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Write the equation of the line that passes through the points
anyanavicka [17]

Answer:

The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-3)/(-2)-(-7)

m=2/5

y-y=m(x-x¹)

y-(-1)=2/5(x-(-2)

y+1=2/5x+4/5

-1 -1

y=2/5x-1/5

7 0
3 years ago
Find the value of the numerical expression 2^4
den301095 [7]
The value of this expression is 16. In exponential problems you can multiply the base by the number of times the exponent is. In this case it would be: 2*2*2*2. Then just multiply and get the product of 16.
4 0
3 years ago
16x-15-9x=13 how do I solve for x
dangina [55]
Add two like terms: 16x+(-9x)=7x
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7 0
3 years ago
A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after
Leno4ka [110]

Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃              = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

                        = 27,900

so the common difference (d)

                     d = 27,900

Now substitute for the values  in the formula above and calculate

T₁₃              = 310,000 + ( 13 - 1 ) x 27,900

                  = 310,000 + 12 x 27,900

                  = 310,000 + 334,800

                  = 644,800.

The population after 13 years = 644,800.

 

3 0
3 years ago
Alice, Bernice, and Cheryl shared some stamps in the ratio 8 : 9 : 18. Alice received 184 stamps. Find the number of stamps that
faust18 [17]
184/8=23
8=alice
9=bernice
18=cheryl

8:9:18=184:207:414
6 0
3 years ago
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