The value of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25
b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25
Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24
The angle x has a measure of 110 degrees
<h3>How to determine the value of x?</h3>
From the question, we have the triangle shape that can be used in our computation:
On the triangle, the external angles are
x, 140 and 110
These angles are on the same straight line with their corresponding internal angles
By the angle on a straight line theorem, we have the internal angles to be
180 - x, 180 - 140 and 180 - 110
The sum of these angles is 180
So, we have
180 - x + 180 - 140 + 180 - 110 = 180
Evaluate
x = 110
Hence, the value of x is 110 degrees
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Answer:
1.5 inches of steel
Step-by-step explanation:
450/300
=1.5 in.
To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC
So to get the area, we multiply AB by BC. (and we know that <em>BC = 5x+5/x+3</em> <em>and BC = [3x+9/2x-4)</em>
So we would do:
x
Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.
For example
x
=
Answer:
x
= 
=
[<em>Note: </em><em>we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]</em>
Now lets simplify by multiplying the 5 and 3 together in the numerator:
= 
If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:
= 
Final Simplified Answer:
which is the last option