#8) Subtract 350 from each side then divide each side by 25 to get (c-350)/25 = h.
Plug in 950 for c to get (950-350)/25 = h.
600/25 = h = 24 hours.
#9 is the same as number 8 just with one more variable. Subtract 2.25h from both sides and divide both sides by 1.75. Then plug in 18.25 for t and 5 for h. Then solve for d.
So, this creates a triangle once again. If we imagine a slide, the slide itself would be the hypotenuse of the triangle, then if there's a ladder leading up to the slide, that would be the vertical length we're looking for. The feet across the ground would be the distance from the bottom of the slide to the bottom of the ladder.
We can use the Pythagorean theorem to find the missing side length, as this would create a right triangle. | 8^2 + b^2 = 10^2 | 64 + b^2 = 100 | b^2 = 36 | b = 6 feet | The slide is 6 feet high at its highest point.
Y would equal -28 when X equals 20.
Since they vary directly, all you do is divide 20 by -5 to find the variation between X and Y. You will get -4 which you multiply to 7, to get you final answer. Thus making Y equal to -28.
I hope this helps!
Answer:
Option (D)
Step-by-step explanation:
In the picture attached,
An obtuse angle triangle ABC has been given.
By applying Sine rule in the triangle,
Since, m∠A + m∠B + m∠C = 180°
45° + 110° + m∠C = 180°
m∠C = 180°- 155° = 25°
b =
b = 15.56
b ≈ 15.56
a =
a = 11.712
a = 11.71
Therefore, Option (D) will be the answer.
14/25 , 29/50 , 53/100 , 13/20 and 3/5
<u>Solution:</u>
Put your numbers first in decimal form;
0.56 , 0.58 , 0.53 , 0.65 and 0.60
Then arrange them from the least to greatest;
0.53 , 0.56 , 0.58 , 0.60 and 0.65
Then revert your values to fraction form to give a final answer:
53/100 , 14/25 , 29/50 , 3/5 , 13/20