Answer:
B.25
Explanation:
The figures are similar. This means that corresponding sides have the same ratio.
This helps us set up a proportion.
We know that ML corresponds with DC, which gives us the ratio
8/40
EF will correspond with NH; this gives us the ratio
5/x
The proportion is then
8/40 = 5/x
Cross multiplying, we have
8(x) = 40(5)
8x = 200
Divide both sides by 8:
8x/8 = 200/8
x = 25
58 degrees
Explanation
If you have a triangle with the angle measures of abc as 58 degrees, 102 degrees and 20 degrees you can multiply them in order of abc so 58 degrees is angle a, 102 degrees is angle b and 20 degrees is angle c. Then you just put in angle a for d which would be 58 degrees and angle e for b 102 degrees and angle f for c which would be 20 degrees
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
Learn more about geometric sequence:
brainly.com/question/24643676
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I believe the answer is 176cm cause if the radius is 11 the diameter is 22 so I hope this helps!
Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
