The correct answer is option B which is \(Cot\theta=\dfrac{24}{7}\).
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
\(Sec\theta=\dfrac{25}{24}\)
The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-
\(Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}\)
Therefore the correct answer is option B which is \(Cot\theta=\dfrac{24}{7}\).
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Pritam bought a laptop at Rs 16583. He has already deposited 13% of the total amount. How much is the amount that he has to pay?
Answer:
He has to pay 14427.21 rupees.
Step-by-step explanation:
1. 13% of 16583 = 2155.79
2. 16583 - 2155.79= 14427.21
3. Has to pay 14,427.21 rupees
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Directions: Select the correct answer from each drop-down menu. Consider the expression below. 12x - 6x + 5 + 4x
If the expression is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 7, then there would be solution(s).
If the expression is set equal to -10x + 5, then there would be solution(s).
Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
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What is the x-intercept?
Answer:2.5
Step-by-step explanation:
l
I
------------------ x intersept
I
I
y intersept
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
What are the positive and negative square roots of 3,600?
Answer:
60 and -60
Hope this helps! :)
Yoooo who’s smart I need help in this ASAP
Answer:
3\(\sqrt[9]{Z}\)²
Step-by-step explanation:
Expression -
(27\(\sqrt[3]{Z}\)²) ^1/3
Transform the expression -
³\(\sqrt[3]{27}\)\(\sqrt[3]{Z}\)²
Simplify - //Note: ignore the ' * '//
3\(\sqrt[3]{*}\)\(\sqrt[3]{z}\)²
Simplify (Again) -
3\(\sqrt[9]{Z}\)²
Jacob made a circle-shaped poster for his geometry class
The radius of the circle shaped poster is 12 inches What is the approximate circumference? (Use 3.14 form)
Please help ASAP math question
Answer:
2/3
Step-by-step explanation:
You divide the numerator and denominator by 8
If you walk 15 miles in 8 hours, how many miles would you walk in 2 hours
Answer: 3.75 miles in 2 hours
Answer:
\(\huge\boxed{\sf 3.75 \ miles}\)
Step-by-step explanation:
Given that:
8 hours = 15 miles
Divide both sides by 4
8/4 hours = 15/4 miles
2 hours = 3.75 miles
\(\rule[225]{225}{2}\)
Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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What is the LCD of 1/9,1/27,8/45
HELP ASAP PLEASE
to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.
the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.
Please help! i have no clue what the answers are!
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
Have a lovely day :)
A clothing store is having a sale where all shirts are 40% off and all the pairs of pants are 30% off. Which of these are true? Choose the TWO correct answers. A) jerry wants to buy one pair of pants originally priced at &40$ and a shirt is originally priced at $45. He will pay a total sale price of $55. B) Mary buys two shirts originally priced at $25. She will pay a total sale price of $35. C) Michael buys a pack of four shirts on sale of $37.80. The pack of shirts was originally priced at $54. D) Chantal buys a pair of pants for sale price of $40.60. The pair of pants was originally priced at $58.
Answer:
Step-by-step explanation:
A. "a pair of pants originally priced at &40$ and a shirt originally priced at $45. He pays $55"—correct
(1-0.30)$40 + (1-0.40)$45 = $55
B. "Mary buys two shirts originally priced at $25. She will pay $35."—incorrect
2×(1-0.40)$25 = $30
C. "a pack of four shirts on sale for $37.80. The pack of shirts was originally priced at $54"—incorrect
(1-0.40)$54 = $32.40
D. "a pair of pants for sale price of $40.60. The pair of pants was originally priced at $58."—correct
(1-0.30)$58 = $40.60
If -30 + 8r = -7(-3r - 3) + 4r,
the value of 5r?
Answer:
Gggggg
Step-by-step explanation:
Bh H hjjhбичар сук в оригинале xdddd
Answer:
\( - 30 + 8r = - 7( - 3r - 3) + 4r \\ - 30 + 8r = 21r + 21 + 4r \\ - 30 - 21 = 25r - 8r \\ - 51= 17r \\ r = \frac{ - 51}{17} \\r = 3 \\ thank \: you\)
The width of a rectangle measures (4.3q - 3.1) centimeters, and its length
measures (9.6q-3.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.
What is the Perimeter of a Rectangle?A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:
Perimeter of a rectangle = 2(length + width).
Given the following:
Width of the rectangle = (4.3q - 3.1) centimetersLength of the rectangle = (9.6q - 3.6) centimetersTherefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:
Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)
Combine like terms
Perimeter of rectangle = 2(7.3q - 6.7)
Perimeter of rectangle = 14.6q - 13.4
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In a triathlon, Farhan swims a distance of 1.5 km at an average speed of 2.5 km/h,
hours.
cycles 40 km in 12 hours and runs at an average speed of 9 km/h for 1
Find his
average speed for the entire competition.
Answer:
We can use the formula:
average speed = total distance / total time
To find the total distance, we add the distances for each event:
total distance = 1.5 km (swimming) + 40 km (cycling) + 1 km (running) = 42.5 km
To find the total time, we add the times for each event:
time for swimming = distance / speed = 1.5 km / 2.5 km/h = 0.6 hours
time for cycling = 40 km / 12 km/h = 3.33 hours
time for running = 1 km / 9 km/h = 0.11 hours
total time = 0.6 hours + 3.33 hours + 0.11 hours = 4.04 hours
Now we can calculate the average speed:
average speed = total distance / total time = 42.5 km / 4.04 hours ≈ 10.52 km/h
Therefore, Farhan's average speed for the entire competition is approximately 10.52 km/h.
-3y-4x= -11
3y-5x= -61
x=
y=
In response to the query, we can state that As a result, the following is equation the system of equations' solution: x = 8 \sy = -7
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
We can use the substitution or elimination methods to find the values of x and y in this system of equations. We shall apply the elimination approach in this case:
-3y - 4x = -11 (equation 1) (equation 1)
3y - 5x = -61 (equation 2) (equation 2)
By combining equations 1 and 2, we may remove the y variable:
-3y -4x + 3y - 5x = -11 - 61
Streamlining the left side:
-9x = -72
-9 divided by both sides:
x = 8
Knowing that x = 8 allows us to solve for y by introducing this number into either equation. Consider using equation 1:
-3y - 4(8) = -11
Simplifying:
-3y - 32 = -11
32 more on both sides:
-3y = 21
By -3, divide both sides:
y = -7
As a result, the following is the system of equations' solution:
x = 8 \sy = -7
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-3w-4+5w=32 what is the solution?
Answer:
w = 18
Step-by-step explanation:
Step 0: Set up the equation
=> -3w - 4 + 5w = 32
Step 1: Move the same variable together
=> -3w + 5w = 32 + 4
Step 2: Add up and simplify
=> 2w = 36
Step 3: Divide both by 2
=> w = 18
Answer:
W=18
Step-by-step explanation:
-3w-4+5w=32
-3w+5w-4=32
2w-4=32
2w=32+4
2w=36
W=18
Approximate 3475 to the nearest thousand
Answer: 3475 — 3000
Step-by-step explanation:
The approximate 3475 rounded to the nearest thousand is equal to 3000 as 3475 is closer to 3000 than it is to 4000 when considering multiples of 1000.
To approximate 3475 to the nearest thousand, need to round the number to the nearest multiple of 1000.
When approximate a number to the nearest thousand, looking for the nearest multiple of 1000.
Let's break down the process for rounding 3475 to the nearest thousand.
Identify the multiples of 1000:
1000
2000
3000
4000
and so on...
Determine which multiple of 1000 3475 is closest to:
3475 is between 3000 and 4000.
Compare the distance from 3475 to each multiple of 1000:
The distance from 3475 to 3000 is 475.
The distance from 3475 to 4000 is 525.
Choose the closest multiple:
Since the distance from 3475 to 3000 (475) is less than the distance to 4000 (525),
The number 3475 is closer to 3000 (the multiple of 1000) than it is to 4000, the nearest thousand is 3000.
Therefore, approximate 3475 to the nearest thousand is 3000 .
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Someone tell me the answer and how y’all day been
Answer:
I believe it is e.
Step-by-step explanation:
2/5 equals 0.4, which is the same as 0.40
Step-by-step explanation:
choose number between 49-95 that is a multiple of 2,4, and 5
a) In GeoGebra Links to an external site., construct a triangle (e.g. ABC), find the measure of all angles and all sides. Identify the type of your triangle (acute, right, obtuse/ scalene, isosceles, equilateral). Then construct a quadrilateral (e.g. DEFG), measure all angles and all sides. Identify the type of your quadrilateral (irregular, square, rectangle, etc.) Use the text command available in GeoGebra to describe the type.
b) Make a screenshot of your work in Geogebra and insert in the space provided below.
All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length
a) To construct a triangle in GeoGebra, we can follow the steps below:
Step 1: Open GeoGebra and select the ‘Polygon’ tool.
Step 2: Select the ‘Triangle’ option.
Step 3: Click three points anywhere on the graph.
Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:
Step 1: Open GeoGebra and select the ‘Polygon’ tool.
Step 2: Select the ‘Quadrilateral’ option.
Step 3: Click four points anywhere on the graph.
Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:
Step 1: Select the ‘Text’ tool from the toolbar
.Step 2: Click anywhere on the graph to add the text box.
Step 3: Type the text in the text box.
Step 4: Customize the font, color, and size of the text as required.
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3(2x - 5)+ 5(x - 6)=-1
Solve for x
Answer:
x= 4
Step-by-step explanation:
find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
What is the area of the regular hexagon shown below?
Answer in complete sentences and include all relevant calculations.
Answer:
6381.4 cm²
Step-by-step explanation:
Applying,
A = n/2(a×h)................ Equation 1
Where A = Area of the regular polygon, n = number of sides of the polygon, a = length of one side of the polygon, h = length of the apothem
But,
a = 2htan∅.............. Equation 2
Where ∅ = angle substands at the center by the regular polygon.
∅ = 360/n.................... Equation 3
Substitute equation 3 into equation 2
a = 2htan(360/n)........... Equation 4
Substitute equation 4 into equation 1
A = n/2[2htan(360/n)×h).............. Equation 5
From the question,
Given: n = 6 side, h = 24.78 cm
Substitute these values into equation 5
A = 6/2[24.78×24.78×2×tan(360/6)]
A = 3[24.78×(24.78×2×tan60°)]
A = 6381.4 cm²
Please help
In 45 years, Gabriela will be 4 times as old as she is right now.
How old is she right now?
Answer:
15 yr
Step-by-step explanation:
x- how old she is now
4(x)= x+45
3x=45
x=15
if my answer helps please mark as brainliest.
Answer:
;---;
Step-by-step explanation:
Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
Answer: B) Linear; it can be written as y = -3x-6
We subtract 6 from both sides to go from the original equation to -3x-6 = y
Then we flip both sides to end up with y = -3x-6
This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.
Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
Help please!!! THANK YOU SO MUCH!!
Answer:
(-4,3)
Step-by-step explanation:
go up 4 units, now you're at (4,3)
reflect across the y axis, now youre at (-4,3)