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Varvara68 [4.7K]
2 years ago
7

Find c.

Mathematics
1 answer:
Alexxx [7]2 years ago
5 0

9514 1404 393

Answer:

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm

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My answer: $2000 were invested at 5%

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%
6 0
3 years ago
Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February th
Lady bird [3.3K]

Answer:

\dfrac{7}{10}

Step-by-step explanation:

Given that,

Carlos walk to school on the 14th of 20 days in February.

We need to find the equivalent to the fraction of school days in February that Carlos walk to school.

Required percentage is given by :

\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%

or

=\dfrac{7}{10}

So, the required fraction is equal to \dfrac{7}{10}.

6 0
2 years ago
Alright, Since my previous questions have not been answered, here's 50p to whoever solves this
BigorU [14]

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

6 0
3 years ago
Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum
Leona [35]
Vertex is -b/2a. The variable b=2 and a=2. That finds the x coordinate of the vertex. Then to find the y coordinate you just plug the number you got for x (-1/2) into the equation. Like so:
y = 2x+2
y = 2(-1/2)+2
y = -1+2
y = 1
So your vertex is ( -1/2, 1 )
To graph your vertex you take your x coordinate (-1/2) and find it on the x axis of the graph (horizontal line). Then do the same for y (1) (on the vertical axis.
Now that you have your vertex graphed you can find out if it is minimum or maximum by looking at the direction in which the slope is going. If it goes in the positive direction (up) then it is a minimum since that is the lowest point that the line touches. If it is maximum it is opposite. The line faces down and the highest point the line touches is that point.
4 0
3 years ago
Find the value of c so that the polynomial p(×) is divisible by (x-4). p(×)=cx^3-15x-68​
Dvinal [7]

Answer:

Step-by-step explanation:

x-4=0

x=4

p(x)=cx^3-15x-68=0

p(x)=c(4)^3-15(4)-68=0

p(x)=64c-60+68=0

p(x)=64c+8=0

p(x)=64c=-8

p(x)=c=-8/64

p(x)=c=-1/8

7 0
3 years ago
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