Answers
The exact value of the cosine of θ is given as follows:
a) 3/5.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:
Sine of angle = opposite side/hypotenuse.Cosine of angle = adjacent side/hypotenuse.Tangent of angle = opposite side/adjacent side = sine/cosine.Applying the Pythagorean Theorem, the hypotenuse length is given as follows:
x² = 6² + (-8)²
x² = 100
x = 10.
As the x-coordinate is used for the cosine, the cosine is given as follows:
cos(θ) = 6/10
cos(θ) = 3/5.
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Related Questions
help asap i will give brainliest
Answers
Answer: 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
What is the next number in the sequence of 1, 8, 22, 50, ______ if the rule is to add 3 then multiply by 2
Answers
Coach Collin’s soccer team selected 16 girls from 124 girls who tried out for the team. What decimal is equivalent to the fraction of the girls selected from the group of girls who tried out for the team?
Answers
Answer:
124
Step-by-step explanation:
Determine the equation of the midline of the following graph.
Answers
Answer:
y = - 3
Step-by-step explanation:
the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.
maximum = - 1 and minimum = - 5
then
(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is
y = - 3
How many solutions does the system of equations below have? y=-3/4x+1/6
Answers
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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Which equation have the same value of X as 3/5 ( 30x -15) = 72 Select 3 options A. 18x - 15 = 72 B. 50x -25=72 C. 18x -9= 72 D. 3(6x-3)=72 E. X=4.5
Answers
x= 4.5
18x - 9 = 72 are the equations
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Why can any two opposite faces of a rectangular prism be called the bases
Answers
Answer:
Step-by-step explanation:
The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.
Prism: Math Definition
A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).
Hope this helps ✌️
Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
What is a rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.
Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
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Convert 6 months to years
Answers
Answer: 0.500001
Step-by-step explanation: Hope that helps!
3. Figure ABCD Shown below is
made up of a semlore and a
rectangle. O is the contre of the
line DC
(Use
- )
10 cm
Calculate the area of
anglo AOB
Answers
Answer:
In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)
Step-by-step explanation:
12 CM And 300 CM is the answer
Please help. What is the solution to this system of equations using the linear combination method? {5x+y=24x+y=5 (0, 2) begin ordered pair 0 comma 2 end ordered pair. (−3, 17) begin ordered pair negative 3 comma 17 end ordered pair. (1, −8) begin ordered pair 1 comma negative 8 end ordered pair. (−2, 12)
Answers
Need the correct answers for this. Can you help me?
Answers
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.
Length and slope of PQ:
The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.
Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of PQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of PQ is approximately 3√5, and its slope is -2.
Length and slope of SR:
The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.
Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-2))² + (-5 - 1)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of SR: (y₂ - y₁) / (x₂ - x₁)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
Therefore, the length of SR is approximately 3√5, and its slope is -2.
Length and slope of SP:
The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.
Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(0 - (-2))² + (2 - 1)²]
= √[4 + 1]
= √5
Slope of SP: (y₂ - y₁) / (x₂ - x₁)
= (2 - 1) / (0 - (-2))
= 1 / 2
Therefore, the length of SP is √5, and its slope is 1/2.
Length and slope of HQ:
The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.
Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of HQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of HQ is approximately 3√5, and its slope is -2.
Based on the calculations, we can conclude that both statements are correct:
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.
Summary:
Length of PQ is approximately 3√5, and its slope is -2.
Length of SR is approximately 3√5, and its slope is -2.
Length of SP is √5, and its slope is 1/2.
Length of HQ is approximately 3√5, and its slope is -2.
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Find the center and radius of
x2 + y2 + 2x – 10y + 10 = 0
Answers
x^2 + y^2 + 2x – 10y + 10 = 0
x^2 + 2x + y^2 - 10y = 0
We must complete the square in x and y.
(x^2 + 2x + 1) + (y^2 -10y + 25) = 4 + 25
(x + 1)^2 + (y - 5)^2 = 29
The radius r is found solving r^2 = 29 for y.
(x + 1)^2 + (y - 5)^2 = sqrt{29}
See picture for the center and radius.
() Type the missing digits:
6,4 18,6 ? 8
-?,?85,835
2,9 3 2,863
Answers
Answer:
6418698
-3485835
2932863
Step-by-step explanation:
Which word describes the slope of the line?
O positive
O negative
zero
O undefined
Answers
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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Cedric is 20 years younger than Steve. The sum of their ages is 37. How old
is Cedric?
Answers
\(Your\) \(answer\) \(would\) \(be.\)
\(17\) \(because\) \(you\) \(needed\) \(to\) \(subtract\) \(37 and20\)
\(- Yaoii\)
assuming that the curve is banked and the road is frictionless, determine the bank angle with respect to the horizontal.
Answers
The bank angle for a frictionless curved road can be calculated using the equations of motion.
The equation of motion for a particle in a curved road is given by F = mgsin(θ) where F is the centripetal force, m is the mass of the particle, g is the acceleration due to gravity and θ is the bank angle. Thus, the bank angle can be calculated by rearranging the equation to θ = arcsin(F/mg). For example, if the mass of the particle is 5kg, the centripetal force is 30N and the acceleration due to gravity is 9.8ms-2, then the bank angle would be θ = arcsin(30/5x9.8) = 20.7°. Thus, the bank angle with respect to the horizontal is 20.7°.
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Hurry up please time limit
State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range ?
Answers
Answer:No, X=-3, yly =-4,0,4
Step-by-step explanation:
pls help. I dont really understand these problems. fraction area and perimeter
Answers
Answer:
Perimeter: 14 9/10 cm
Area: 11 7/10 cm^2
Step-by-step explanation:
First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:
2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?
To put it simpler -
2(2 1/4 + 5 1/5) =
4 5/10 + 10 4/10 =
14 9/10 cm
Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.
Formula of area:
A = L x W
A = 2 1/4 x 5 1/5
A = 9/4 x 26/5
A = 234/20
A= 11 7/10 cm^2
To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.
__ (5 + 4) = 2 * 5 + 2 * 4
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answers
Answer:
x = 2
Step-by-step explanation:
→ Simplify
x × ( 9 ) = 10 + 8
→ Further simplify
9x = 18
→ Divide both sides by 9
x = 2
What does 1/4+2/3 equal
Answers
Answer:
\(\frac{11}{12}\)
Step-by-step explanation:
\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)
A perfect square ends with the same two digits. How many possible values of this digit are there?
Answers
Answer:
A perfect square is a whole number that is the square of another whole number.
n*n = N
where n and N are whole numbers.
Now, "a perfect square ends with the same two digits".
This can be really trivial.
For example, if we take the number 10, and we square it, we will have:
10*10 = 100
The last two digits of 100 are zeros, so it ends with the same two digits.
Now, if now we take:
100*100 = 10,000
10,000 is also a perfect square, and the two last digits are zeros again.
So we can see a pattern here, we can go forever with this:
1,000^2 = 1,000,000
10,000^2 = 100,000,000
etc...
So we can find infinite perfect squares that end with the same two digits.
4 7/9 x 3 3/4
Write answer as a fraction or as a whole or mixed number
Answers
Answer:
Exact form: 215/12
decimal form: 17.916
mixed number: 17 11/12
Step-by-step explanation:
Reasoning 1f 60% of the registered voters cast 202,800 votes in an election, how many registered voters
of registered voters compare in the two elections? Show your work.
There are registered voters. (Type a whole number.)
Answers
Answer:
338,000
Step-by-step explanation:
202800 is to 338000 like 60% is to 100%
hope that helps lol (did it with my mouse so looks awful)
A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answers
Answer:
Step-by-step explanation:
(0,0)
i hope this helps
select all the statements. You can chose three statements !!!!!!!
Answers
Answer:
The 3 Statements are A, D, and E
Step-by-step explanation:
The answer is A because Y * 8 = X for all of them.
The answer is D because for example 1.5 ÷ 12 = 1/8.
The answer is E because 3.75 * 8 = 30.
Hope this helps! :)
A company that makes superhero capes has 6,300 yards of fabric left. It uses 70 yards of
fabric each day. How many days will it take the company to use all the fabric?
Answers
90 days
Step-by-step explanation:
Yards left 6300 yards
Everday it uses 70 yards
6300÷70 =90
90 days
My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answers
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
PLEASE ANSWER ASAP LOOK AT THE PICTURE DUE IN 2 SECONDS !!!!!!!!!!!!!!
WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: its b
Step-by-step explanation:
Answer:
Its B
now the other person can get brainest
\((3x^{3} y^{2} z)(2xy^{5} z^{5}\)
Answers
- BRAINLIEST answerer ❤️
PLEASE HELP MEEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
1 pound of potato salad costs 2.96
0.75 pounds of potato salad costs x
1/0.75 = 2.96/x Cross multiply
x = 0.75 * 2.96
x = 2.22
0.75 pounds of potato salad costs 2.22 dollars.