Answer:
Step-by-step explanation:
<u>∠4 and 158° are supplementary as same side interior angles</u>
- m∠4 + 158° = 180°
- m∠4 = 180° - 158° = 22°
Answer:
the amount of space present is 15,120 cubic inches
Step-by-step explanation:
To get the amount of space, we simply calculate the volume of the space
This is the area of the base multiplied by the length
Mathematically, we have this as;
Area of the triangle multiplied by the length of the cabinet
We have this as;
(1/2 * 20 * 21) * 72
= 210 * 72
= 15,120 cubic inches
Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
<h2>
Answer:</h2>
<em><u>25.12 seconds</u></em>
<h2>
Step-by-step explanation:</h2>
As we have been given ion the question,
Tangential speed of her brother at the Wooden Horse = 6 m/s
Tangential speed of Sheila = 4 m/s
Radius of merry go round, r = 8 m
Now,
We know that,
v = r.ω
So,
<u>Angular velocity of brother</u> is given by,
And,
<u>Angular velocity of Sheila</u> is given by,
<u>Relative Angular Velocity = 0.75 - 0.5 = 0.25 rad/s.</u>
Therefore, the time taken by Sheila to encounter her brother again is given by,
<em><u>Therefore, Time Taken to encounter again is 25.12 seconds.</u></em>