Answer:
x = 0.00559234073 for 1 second
x = 0.0111846815 for 2 seconds
Step-by-step explanation:
We first need to know that 1 mile = 1609.344 meters to get one unit to use or else it'll be confusing.
For 1 second, x will be replaced by 1.
So:
y=9(1)
y=9
And for 2 seconds, x will be replaced by 2.
So:
y=9(2)
y=18
These are the measurements in meters. Then, we need to find what it is in miles.
So we can use a proportion for this.
1/1609.344 = x/9
1609.344x = 9
x = 0.00559234073 for 1 second
For 2 seconds:
1/1609.344 = x/18
1609.344x = 18
x = 0.0111846815 for 2 seconds
From all the steps below, we have been able to prove that; 1 - cot23° = 2/(1 - cot22°).
<h3>How to prove trigonometric functions?</h3>
We want to prove that 1 - cot23° = 2/(1 - cot22°).
We will prove it using the trigonometric expression
cot(22° + 23°) = cot45°
Using trigonometric identities, we can rewrite as;
(cot22° cot23° - 1)/(cot22° + cot23°) = 1
Cross multiply to get;
cot22° cot23° - 1 = cot22° + cot23°
Rearrange to get;
cot22° cot23° - 1 - cot22° - cot23° =0
⇒ cot22° cot23° - 1 - cot22° - cot23° + 2 =2
⇒ cot22° cot23° + 1 - cot22° - cot23° =2
⇒ cot22° cot23° - cot22° - cot23° + 1 = 2
⇒ cot22° (cot23° - 1) - 1 (cot23° - 1) = 2
⇒ (cot22° - 1) (cot23° - 1) = 2
Divide both sides by (cot23° - 1) to get;
cot23° - 1 = 2/(cot22° - 1)
⇒ 1 - cot23° = 2/(1 - cot22°).
Read more about trigonometric proof at; brainly.com/question/7331447
#SPJ1
For this case, using the law of cosine we have:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)
Substituting values we have:
c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)
Clearing c we have:
c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))
c = 14.33216827
round the answer to the nearest tenth:
c = 14.3
Answer:
the length of side c is:
c = 14.3
There are no numbers with an A between 1-100
You set t up as 15/20 and you divide the fraction by 20/20, and then you get .75/1 so your answer could either be .75 miles per hour or 3/4 miles per hour