Given:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
The model for Candle B is
where, h is the height in millimeters and t is the time in hours.
To find:
The initial values for each candle and its interpretation.
Solution:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
So, initial value of candle A = 211 mm
The model for Candle B is
Putting t=0, we get
So, initial value of candle B = 210 mm
Initial values for each candle tell you about the height of the candles before they start burning.
Initial value of candle A is greater than B, so the height of candle A is greater than B before they start burning.
Therefore, the initial value of candle A is 211 mm and initial value of candle B is 210 mm.
The value of x in the special right triangle is 39.60 ft.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.
Therefore, let's find the base of the triangle with 30 degrees.
sin 30° = opposite / hypotenuse
1 / 2 = 7 / b
b = 14 ft
Let's use the value(14 ft) to find the height of the biggest triangle.
sin 30 = opposite / hypotenuse
sin 30 = 14 / h
0.5h = 14
h = 14 / 0.5
h = 28 ft
Therefore, let's find the value of x .
sin 45° = 28 / x
x = 28 / 0.70710678118
x = 39.5979797464
x = 39.60 ft
learn more on right triangle here: brainly.com/question/10412877
Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Step-by-step explanation:
Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.
Time taken by red horse = 120 seconds
Time taken by black horse = 150 seconds
Speed = 
So, speed of red horse =
Since 1 mile = 5280 feet
Speed of red horse = 
Similarly,
Speed of black horse = 
Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Answer:
m = -2
Step-by-step explanation:
Let (x1 , y1 ) = ( 3 , 8) and (x2 , y2 ) = ( 2 , 10)
Now
slope (m)
= y2 - 1 / x2 - x1
= 10 - 8 / 2-3
= - 2
hope it helps :)
