You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
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Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Coordinates are written in the form (x,y), x being a certain length along the horizontal x axis and y being a certain height along the vertical y axis. Positive y numbers are in the top half of the plane and negative y numbers are on the bottom. Positive x numbers are on the right side of the plane and negative x numbers are on the left. Therefore, (3,-7) would be 3 across to the right from the origin (where the x and y axes intersect) at (3,0) and 7 downwards from that point to (3,-7).
Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds = 
arc minute
12 arc seconds = 
arc minute
12 arc seconds = 
arc minute
So, 12 arc seconds = arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute = degree
arc minute = 
degree
arc minute = 
degrees
12 arc seconds = degrees
Answer:
$285
Step-by-step explanation:
The mode of 44 and 51 is 47.50 and 47.50 x 6 equals 285
Answer: -62
Step-by-step explanation:
9( a + 2b) + c
Substitute correct values for all a, b and c.
9( -3 + 2(-2) ) + 1
9( -3 - 4 ) + 1
9(-7) + 1
-63 + 1
-62.
