If a vector A⃗ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: Ax = 9.00lb , Ay = 5.00lb
Answers
The vector magnitude is 10.29lb and the vector direction is 150.9⁰.
Vector:
As per the given question:
To find:
magnitude and direction=?
Solution:
Vector representation of the given value:
Calculating the vector magnitude:
Calculating the vector direction:
When
Let's solve the value for
lies in the second quadrant,
Find out more information about the angle here:
Related Questions
The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?
What is 16% of 25? A.64 B.16 C.6 D.4
(5+2yi)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
If Sean knows the slope of the line is 4 in the line passes through the point (1, negative 8 princesses, which equation should he use to find the Y intercept and what is the y-intercept of the line
Answers
Answer:
x=70
Step-by-step explanation:
Since they are supplementary angles (180°)
45° + (2x-5)° = 180°
(2x-5)° = 180° - 45°
(2x-5)° = 135°
2x° = 135° + 5°
2x° = 140°
x° = 140/2°
x° = 70°
Since they are supplementary angles (180°)
45° + (2x-5)° = 180°
(2x-5)° = 180° - 45°
(2x-5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130/2°
x° = 65°
Answers
Answer:
i think it's 82
Step-by-step explanation:
Final answer:
To round 82.2756 to the nearest penny, we should focus on the hundredth place. With the next digit being 5 or above, we round up the original hundredth place. Hence, 82.2756 becomes 82.28.
Explanation:
In Mathematics, rounding numbers is a process that simplifies numbers to their nearest place values. To round 82.2756 to the nearest penny, we focus on the two decimal places, because a penny denotes the hundredth place in decimal terms.
We therefore look at the third decimal place (5). Since this value is five or more, we round up the number in the second decimal place (7) by 1, thus making it 8.
Therefore, 82.2756 rounded to the nearest penny becomes 82.28.
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Answers
Answer:
Step-by-step explanation:
Given that vertex of the hyperbola is
(0,10) and(0,-10)
Hence the hyperbola will have equation of the form
Since vertex has y coordinate as 10, we have a =10
So equation would be
Since asymptotes are y =±5x/4
we have equation of both asymptotes is
Since hyperbola will have equations same as asymptotes except with difference of constant terms as 1 instead of 0, we have
equation as
y² / a² + x² / b² = 1.
y = +/- a/b x
a / b = 5 / 4
a = 10
10 / b = 5 / 4
b = (10 · 4) : 5
b = 8
Answer:
The equation of the hyperbola is:
y² / 100 - x²/ 64 = 1
Answers
hope you found this helpful ;)
The GCF of 135, 225, and 270 is 45.
The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. To find the GCF of 135, 225, and 270, we need to find the common factors of the three numbers and choose the largest one.
The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135.
The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225.
The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
The common factors of 135, 225, and 270 are: 1, 3, 5, 9, 15, 45.
The largest common factor is 45. So, the GCF of 135, 225, and 270 is 45.
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Answers
y shirts at £12 each. Total = 12*y = £12y
Total cost = £15x + £12y
Total cost = £(15x + 12y)
Final answer:
The total cost, in pounds, for X jumpers at £15 each and Y shirts at £12 each can be written as the mathematical expression: 15X + 12Y, where X and Y are the quantities of jumpers and shirts respectively.
Explanation:
To write an expression for the total cost of X jumpers at £15 each and Y shirts at £12 each in pounds, you need to multiply the cost per item by the quantity of each items and then add these two products together.
So, the total cost can be given as:
15X + 12Y
where
- X represents the number of jumpers
- Y represents the number of shirts
In this expression, '15X' stands for the total cost of the jumpers and '12Y' stands for the total cost of the shirts.
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Answers
Hope that helped =)