Answer:
Step-by-step explanation:
<u>Dilation is applied by the rule:</u>
- (x, y) → (kx, ky), where k is the scale factor
<u>We have</u>
- (x, y) = (-2, 3) and (kx, ky) = (-8, 12)
<u>Substitute and solve for k</u>
- -8 = -2k and 12 = 3k ⇒ k = 4
<u>So the rule is</u>
Answer:
Step-by-step explanation:
Since this is a test/homework, I'll give you a hint.
A triangle always is 180 degrees. If you add up all the sides, it should be 180.
A horizontal line is 180, if you add up the two sides (or the "line" that is crossing through the horizontal one) it'll be 180.
Just think of it like this: 180 is king. No matter what you add together, if its not 180, its wrong.
Hope this helps!
Answer:
Volume of a cone: 1/3 x base x height
Volume of a cylinder: π x height x diameter
Hope this helps ;)
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:
472.5
Step-by-step explanation: