Answer:The answer to your question is 3. 0
Step-by-step explanation:
Process
1.- Find the cos a
Opposite side = 5
Hypotenuse = 13
Adjacent side = ?
Adjacent side² = 13² - 5²
= 169 - 25
= 144
Adjacent side = 12
cos a = 12/13
2.- Find the sin b
sin b = 5/13
3.- Use the formula below to find sin(a + b)
sin (a + b) = sina cosb + sin b cos a
- Substitution
sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)
- Simplification
sin (a + b) = -60/169 + 60/13
- Result
sin(a + b) = 0
Step-by-step explanation:
Answer:
im pretty sure that weight is the answer!
You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.
The linear velocity at the end of the blade is 13571.7 inches per minute
<h3>How to find the linear velocity of the lawnmower blade?</h3>
You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.
The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.
Since the blade is 36 inches long, it can be taken as radius of that circle.
The circumference is thus calculated as ![2 \times \pi \times 36 = 226.19 \: \rm inches](https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cpi%20%5Ctimes%2036%20%3D%20226.19%20%5C%3A%20%5Crm%20inches)
Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute
Thus,
The linear velocity at the end of the blade is 13571.7 inches per minute
Learn more about linear velocity here:
brainly.com/question/20410914
Answer:
![m\angle STR=24^o](https://tex.z-dn.net/?f=m%5Cangle%20STR%3D24%5Eo)
Step-by-step explanation:
we know that
---> by addition angle postulate
we have
----> given problem
----> given problem
substitute in the expression above
![48^o=2m\angle STR](https://tex.z-dn.net/?f=48%5Eo%3D2m%5Cangle%20STR)
Divide by 2 both sides
![m\angle STR=24^o](https://tex.z-dn.net/?f=m%5Cangle%20STR%3D24%5Eo)
The number of guests that were at the party is 26. This was illustrated in the probability.
<h3>How to compute the probability?</h3>
From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.
From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.
The probability that a randomly chosen party guest had a cola drink will be:
= 15/26
The probability that a randomly chosen party guest had a raspberry drink will be:
= 11/26
The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.
Learn more about probability on:
brainly.com/question/24756209
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