The sum of 2 complementary angles equals 90 degrees.
If angle 1 and 2 are complementary and angle 1 and 3 are also complementary than angle 2 would have to be the same as angle 3.
The answer would be true.
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
= 
1024 + 676 = 
1700 = 
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
Cindy made 3 decorations with the ribbons
Step-by-step explanation:
Since Cindy used 1/10 of a metre of ribbon to make just one decoration that she obtained by dividing 3/10 of a meter of ribbon into equal parts, then we can calculate the number of decorations that Cindy made. In this scenario, all we need is an idea on how to divide fractions and we are good to go.
If Cindy used 1/10 of a metre obtained by dividing 3/10 of a metre of ribbon to make decorations, then the number of decorations she made can be gotten by dividing 3/10 by 1/10
i.e 3/10 ÷ 1/10
= 3/10 × 10/1
= 3 decorations.
That is she used 1/10 + 1/10 + 1/10 = 3/10 to make (3 decorations).
Answer:
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
Step-by-step explanation:
The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117
°.
angle TDE = 117°
angle DTE = 180° - 117° - 31° = 32°
DE = 346.4 m
Side TD can be find using sine law
346.4/sin 32° = TD/sin 31°
cross multiply
346.4 × 0.51503807491 = 0.52991926423TD
178.409189149 = 0.52991926423TD
divide both sides by 0.52991926423
TD = 178.409189149/0.52991926423
TD = 336.672397461
TD ≈ 336.67 m
The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.
Using sin ratio
sin 63° = opposite/hypotenuse
sin 63° = h/336.67
cross multiply
h = 336.67 × 0.89100652418
h = 299.975166498
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
Answer:
20
Step-by-step explanation:
Divisors of 100
1, 2, 4, 5, 10, 20, 25, 50, 100