Answer:
Y=3X+3
Step-by-step explanation:
Y=mx+b
m=3
when x=2 and y=3 b=3
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,
Sin(θ) = Perpendicular/Hypotenuse
Sin(79°) = 80 meter/Length of the wire
Length of the wire = 81.4973 ≈ 81.5 meters
Hence, the length of the wire is 81.5 meters.
Learn more about Sine:
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Answer:
x=19
Step-by-step explanation:
<em>The complete exercise with the answer options is as follows:</em>
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
692 thick crust pizzas
Step-by-step explanation:
With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
total pizzas : 1040
Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas
1040→240
3000→x
x= 
= 692
Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas
Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6
Step-by-step explanation:
Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1
A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!
a) 0 and 0.01 = The event is impossible, it would never occur.
b) 0.99 and 1 - The event is certain, it would always occur.
c) 0.3 - The event is highly unlikely, but it will occur once in a while.
d) 0.6 - The event will occur more often than not.
