Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
Answer:
x = -5/31
Step-by-step explanation:
5(5x + 1) = 3x - 9x multiply 5 with the inside of the parenthesis, 5(5x + 1) = 25x + 5
25x + 5 = 3x - 9x add the like terms, 31x = -5 and x = -5/31
Circumference = 2(pi)r
Area = (pi)r^2
r = 5
5 * 2 = 10
Circumference = 10π
5 * 5 = 25
Area = 25π
Using 3.14 as pi substitute:
5 * 3.14 = 15.7
15.7 * 2 = 31.4
Circumference = 31.4
5 * 5 = 25
25 * 3.14 = 78.5
Area = 78.5
Answer:
Step-by-step explanation:
slope=(0-3)/(3-0)=-3/3=-1
y intercept=3
eq. of line is y=-x+3
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is
the Pythagoras theorem?</h3>
(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,


Therefore the ratios of sin x° and cos y° are 15/8.
To learn more about the trigonometric function visit:
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