The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
<h3>How to solve the trigonometry ratios?</h3>
The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
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Answer:
N$ 612.5
Step by step explaination:
Given,
Principal or'P'=N$2500
Time or'n'=3 years & 6 months or 3.5 years
Rate of profit or 'r'=7% or 7/100
Profit or 'I'=?
_____________________________________
We know,
I=P*n*r
I=2500*3.5*7/100
I=612.5
So,simple interest is N$ 612.5.
There are 11 trains containing giraffes and 7 trains containing rabbits.
<h3>
Equation</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of train with giraffes and y represent the number of train with rabbits.
Hence:
25x = 40y
25x - 40y = 0 (1)
Also:
25x + 40y > 500 (2)
From both equations:
A possible solution is x = 11, y = 7
There are 11 trains containing giraffes and 7 trains containing rabbits.
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If you could move the photo a little I can answer it
Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=

so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=

x=

x=

or

those are the 2 numbers
aprox=-28.65 and -0.349