Answer:
98 miles per hour
Step-by-step explanation:
196 miles/2 hours= 98 miles in 1 hour
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
Robert can give writing supplies to at most 7 campers.
Step-by-step explanation:
The problem states that Robert must give the same number of supplies to each camper and use all the supplies. It means that the greatest number of campers that Robert can give writing supplies is the greatest common divisor(gcd) between the number of pencils and the number of note pads.
The gcd between two integers is the largest positive number that divides each of the integers. We can find this value by prime factorization.
The problem states that he has 14 pencils and 21 note pads. So we have to find gcd(14,21).
21 is not divisible by 2, so we try factoring by 3
14 is not divisible by 3, so we try factoring by 5
None of them are divisible by 5, so we move to 7
Both are divisible by 7, so
14 - 21 | 7
2 - 3
2<7, 3<7, so gcd(14,21) = 7.
Robert can give writing supplies to at most 7 campers.
Answer:
The value of given expression i.e Ф is 90° and - 30°
Step-by-step explanation:
Given as :
4 cos²Ф + 2 sinФ = 2
∵ sin²Ф + cos²Ф = 1 , so , cos²Ф = 1 - sin²Ф
Or, 4 ( 1 - sin²Ф ) + 2 sinФ = 2
Or, 4 - 4 sin²Ф + 2 sinФ = 2
or, 4 sin²Ф - 2 sinФ - 4 + 2 = 0
or, 4 sin²Ф - 2 sinФ - 2 = 0
or, 2 sin²Ф - sinФ - 1 = 0
or, 2 sin²Ф - 2 sinФ + sinФ - 1 = 0
Or, 2 sinФ ( sinФ - 1 ) + 1 ( sinФ - 1 ) = 0
∴ ( sinФ - 1 ) ( 2 sinФ + 1 ) = 0
i.e ( sinФ - 1 ) = 0 And ( 2 sinФ + 1 ) = 0
since ( sinФ - 1 ) = 0
So, sinФ = 1
Or, Ф = 
= 90°
And ( 2 sinФ + 1 ) = 0
Or, 2 sinФ = - 1
Or, sinФ = - 
Or, Ф = 
= - 30°
Hence the value of given expression i.e Ф is 90° and - 30° Answer
Answer:
I can't see the whole picture, but if it's half of the circle, it's the radius. if the line goes all the way through the circle, it's the diameter
