Answer:
0.014767
Step-by-step explanation:
For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,
S is 25 years old
Hope that helps
Answer:
The height of the flagpole is 7.5 m
Step-by-step explanation:
In this problem
we know that
Triangles SPN and SFG are similar by AA Similarity Theorem
see the attached figure to better understand the problem
Remember that
If two figures are similar then the ratio of its corresponding sides is proportional
so
SN/SG=PN/FG
we have
SN=8 m
SG=SN+NG=8+32=40 m
PN=1.5 m
FG ----> the height of the flagpole
substitute the values and solve for FG
8/40=1.5/FG
Multiply in cross
FG(8)=40(1.5)
FG=40(1.5)/8
FG=7.5 m
ANSWER
ai) AC and AD
aii) CE and DE
b) 4√10cm
EXPLANATION
ai)
The center of the circle is A.
The radius is the distance from the center to any point on the circumference.
The radii are AC and AD.
aii) The tangent to a circle touches the circle at only one point.
The tangents to the circle are DE and CE.
c) The radius is perpendicular to the tangents.
This means that
Triangle ADE is a right triangle.
If AC is 6cm then AD is also 6cm.
We substitute the values to obtain,