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Alexandra [31]
3 years ago
7

3.Solve tan 2x + tan x=0, for 0 < x < 2π​

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

Start by getting everything on the same side of the equals sign and then set it equal to 0.  .  Factor out the common tan^2x like this: .  Now we have 2 separate equations to solve:  and sinx = 0.  Now we have to figure out where tan^2 is 0 between 0 and 2pi.  If we include 2pi, the solutions for that equation are .  You can test those out on your calculator just to be sure.  There's only one value of x for the next equation.  The only place between 0 and 2pi where the sin x = 1 is at x = .  And there you go!

Step-by-step explanation:

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the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i
dalvyx [7]
10:15:8
3:4.5:2.4
The difference = 1.5
7 0
3 years ago
The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0
3 years ago
In a recent 10-year period, the change in number of visitors to U.S national parks was about -11,150,000 visitors what is the ye
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Answer:

Step-by-step explanation:

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vodka [1.7K]

2330/96 ≅ 24

96 • 24 = 2304

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3 0
3 years ago
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