9514 1404 393
Answer:
11.6 cm
Step-by-step explanation:
As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.
AD² = ED² +EA²
EA² = AD²-ED² = 7² -6² = 13
EA = √13 ≈ 3.606
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CD² = ED² +EC²
EC² = CD² -ED² = 10² -6² = 64
EC = √64 = 8
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The length of the horizontal diagonal is ...
AC = EA +EC = 3.6 +8 = 11.6 . . . cm
Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
Answer:
One solution
Step-by-step explanation:
y = 2x – 5. –8x – 4y = –20. one solution: (–2.5, 0)
180 cm is taller because 5ft 8in = 172.72 cm
Answer:
Interest = $93.205
Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365
Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205
Hope this helps :)