Find x and y. Thank you.
2 answers:
Answer: x = 2.25
y = 1.125
Step-by-step explanation:
Looking at the diagram attached, two similar triangles, ABC and EDC are formed. Therefore, AB/ED = BC/DC= AC/EC.
AB = 6
ED = x
AC = 3
EC = y
BC = 4
DC = 1.5
Therefore,
3/y = 4/1.5
Cross multiplying,
3×1.5 = 4 × y
4.5 = 4y
y = 4.5/4 = 1.125
6/x = 4/1.5
Cross multiplying
6×1.5 = x×4
4x = 9
x = 9/4 = 2.25
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Answer:
Step-by-step explanation:
(1)The units for measuring angles are degrees and radians
A circle is 360° which is equal to 2π radians
1°=π/180
To convert angle measurement from degrees to radians multiply the value of degrees by π/180
(11)
To convert angle measurement from radians to degree multiply the value of radian by 180/π
(111)Yes it matters because you will use different formulas to calculate the length of the arc
For example , when the central angle is in radians, the formula to apply is;
⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.
⇒ When the central angle value is in degrees , the formula to apply is
Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle
2.
we know π=180°
hence 17/6 π=?---------------cross multiply
Apply trigonometry
Find sine 510°
Sine (510°-360°)= sine 150°
Sine 150° = sine 30° = 1/2-----------------2nd quadrant
This means sine 510° = 1/2