Find the measure of angle A. Round your answer to the nearest hundredth.
2 answers:
Answer:
Angle A = 40.6°
Step-by-step explanation:
For any right angle triangle we know the Pythagoras theorem reveals
Hypotenuse² = Height²+Base²
By this formula we will calculate the length of Hypotenuse
H² = 6²+7²
⇒ H =√36+49 = √85 = 9.22
Now from the given triangle sin A = Height/ Hypotenuse
sin A = 6/9.22 = 0.651
Therefore
So angle A = 40.6°
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Answer:
1. x
ii. 18
b. -12
2. nth = a + (n - 1)d
ii. k = 103
3. =
4. Volume = 25.025
Step-by-step explanation:
1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
= x
ii. = 18
b. 2 - 3
+ 3abc
a = 3, b = 2, c = -1
Thus,
2 - 3
+ 3(3 x 2 x -1)
= 18 - 12 - 18
= -12
2. The required formula is;
nth = a + (n - 1)d
where: a is the first term, n is the number of terms in the sequence and d is the common difference.
b. kth term = 304, then
304 = -2 + (k - 1) 3
= -2 + 3k -3
= 3k - 5
3k = 304 + 5
3k = 309
k =
= 103
k = 103
3. Comparing <DAB and < EBC;
<DAB ≅ <EBC =
<BEC = (right angle property)
<C =
Thus,
<B + <C + <E = (sum of angles in a triangle)
+
+
=
+ 153 =
= 180 - 153
= 27
=
4. Volume of a cylinder = h
where r is the radius and h is the height of the cylinder.
Diameter = 3.5 m, h = 2.6 m
r =
r = m
So that,
Volume = x
x 2.6
= x
x
= 25
Volume = 25.025