32/36 can be simplified twice into 16/18, and then into 8/9.
The actual length of the dust termite observed under the microscope is 1.5 mm
- The scale of image produced under the microscope 100 : 1
- This means image is magnified 100 times its original size as microscopes are used to enlarge or magnify the size objects.
- Taking the measured size of the dust termite under the microscope in millimeter = 150 mm
The actual length of the termite will be :
- Measured size under microscope ÷ 100
Therefore, the actual length of the dust termite is about 1.5 mm
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60 - 18 = 42
42/60 x 100 - 70%
To check this do 0.7 x 60 (which gets you 18, so it is right)
Answer:
45
Step-by-step explanation:
Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.
m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1
The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.
m(arc)EVL + m(arc)EHL = 360
m(arc)EVL = 360 - m(arc)EHL Eq. 2
We are given this:
m<EYL = (1/3)m(arc)EHL Eq. 3
Substitute equations 2 and 3 into equation 1.
(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]
Now we have a single unknown, m(arc)EHL, so we solve for it.
2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]
2m(arc)EHL = 1080 - 6m(arc)EHL
8m(arc)EHL = 1080
m(arc)EHL = 135
Substitute the arc measure just found in Equation 3.
m<EYL = (1/3)m(arc)EHL
m<EYL = (1/3)(135)
m<EYL = 45
