Answer:
80% of the students passed their test.
Method :
24/30 x 100%
= 240/3
= 80%
Find the output for () = −3 + 4 when = −5. Show every step.
Answer:
f(x) = 19
Step-by-step explanation:
F(x) + -3(-5) +4
F (x) 15+4
F(x)= 19
john was born on MMVII, how old was john in march 16 2017
Answer: 10 years old
Step-by-step explanation:
MM is 2000
V is 5
II is 2
this will give is 2007
we can takeaway 2017 from 2007 which will give us 10
so therefore he is 10 years old.
ASAP:(
Match each system of equations to the diagram that represents its solution.
Answer:i need this answer
Step-by-step explanation:
Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
How many solutions does the following linear equation have?
3(x – 5) = 1 (62 - 12)
O no solution
O one solution
O infinitely many solutions
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
Solve for x:
4x – 7 = 8x + 33
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
a cylindrical tank standing upright has a radius of 20cm. how fast does the water level in the tank drain
A cylindrical tank standing upright has radius 20cm. If the water is being drained at rate 25 cm³/s the tank level drops at rate 0.02 cm/s.
Recall the formula for the volume of a cylinder:
V = πr². h
Where:
r = radius of the base
h = height of the cylinder
Take the derivative with respect to t
dV/dt = πr². dh/dt
Substitute dV/dt = 25 cm³/s and r = 20 cm:
25 = π x 20² x dh/dt
dh/dt = 25 / (400π) = 0.02 cm/s
Therefore, the level of the cylindrical tank drops at rate 0.02 cm/s
Complete question:
A cylindrical tank standing upright has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25 cm³/s?
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The demand for a particular item is given by the function D(x) = 2,000 - 3x? Find the consumer's surplus if the equilibrium price of a unit $125. The consumer's surplus is $| TIP Enter your answer as an integer or decimal number
The consumer's surplus for one unit of the item is $1,872, representing the additional value gained by consumers when purchasing the item at a price below the equilibrium price.
To find the consumer's surplus, we need to calculate the area between the demand curve and the equilibrium price line. The demand function D(x) = 2,000 - 3x represents the relationship between the price and quantity demanded. The equilibrium price of $125 indicates the price at which the quantity demanded is equal to one unit. By evaluating the consumer's surplus, we can determine the additional value consumers receive from purchasing the item at a price lower than the equilibrium price. To calculate the consumer's surplus, we need to find the area between the demand curve and the equilibrium price line. In this case, the equilibrium price is $125, and we want to find the consumer's surplus for one unit of the item. The consumer's surplus represents the difference between the maximum price a consumer is willing to pay (indicated by the demand function) and the actual price paid (equilibrium price). To calculate the consumer's surplus, we first find the maximum price a consumer is willing to pay by substituting x = 1 (quantity demanded is one unit) into the demand function:
D(1) = 2,000 - 3(1) = 2,000 - 3 = 1,997
The consumer's surplus is then calculated as the difference between the maximum price a consumer is willing to pay and the actual price paid:
Consumer's Surplus = Maximum price - Actual price
= 1,997 - 125
= 1,872
Therefore, the consumer's surplus is $1,872, indicating the additional value consumers receive from purchasing the item at a price lower than the equilibrium price.
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PLS HELP ME I WILL MARK THE BRAINIEST 50 POINTS!!!!!!
Answer:
Done. Check comments
Step-by-step explanation:
Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.
The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.
When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.
This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.
263-97 = 166/2 = 83***
The approximate length of side XY is a: 3b: 3.16c: 4d: 4.24 units.
Solution
Given a triangle XYZ on the graph
The coordinates of points X, Y and Z are
\(\begin{gathered} X\Rightarrow(-3,-1) \\ Y\Rightarrow(-2,-4) \\ Z\Rightarrow(-6,-4) \end{gathered}\)To find the approximate length of the sides, we apply the formula to find the distance, d, between two points which is
\(d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\)To find the approximate length of side XY, substitute the coordinates of points X and Y into the formula to find the distance, d, between two points
\(\begin{gathered} XY=\sqrt{(-3-(-2))^2+(-4-(-1))^2} \\ XY=\sqrt{(-1)^2+(-3)^2} \\ XY=\sqrt{1+9}=\sqrt{10}=3.16\text{ units} \\ XY=3.16\text{ units} \end{gathered}\)Hence, the approximate length of side XY is 3.16 units (option b)
Suppose the solution to the differential equation (x - 3)y" + 3y = 0 is written as a power series y = = Σa, (x-1)" What is the lower bound of the radius of convergence of 71-0 this power series? a) 0.5 c)2 d)3 e) [infinity]⁰ b)1 6) If a series solution is to be found for y"-4xy'+4y=0, y(0)=2, y'(0)=3 then a2 = (a) -4 (b) 8 (c) -8 (d) 1 e) NOTA 7) The lower bound for the radius of convergence for the series solution of (1+x³)y"-xy'+3y=0 , Xo = 3 is 4 a) 4 b)-4 c) -1 e) NOTA d) 1 9) The exponents at the singularity for (x-1)² y "+3x (x-1)y ¹-3y = 0 are: (a) 1,-3 (b) 2,-3 (c) 3,-1 (d) 1,-2 10) For the equation x2y "+axy + y = 0, the values of a, ß so that the solutions approach zero as x → 0: a) a <1, p<1 b) a <1, ß>0 c) a>0, B<1 d) a>0,ß>0 e) NOTA e) NOTA
6) The answer is (b) 8.
To find the value of a2, we can use the fact that y(0) = 2 and y'(0) = 3. Plugging these values into the series solution, we get
2 = a0 + a2 + a4 + ...
3 = a1 + 2a3 + 3a5 + ...
Subtracting these two equations, we get
1 = a2 + a4 + a6 + ...
This tells us that a2 must be equal to 8.
7) The answer is (a) 4.
The radius of convergence of a power series solution to a differential equation is always equal to the distance from the center of the series to the nearest singularity. In this case, the nearest singularity is at x = -1. The distance between x = -1 and x = 3 is 4, so the radius of convergence is 4.
9) The answer is (b) 2,-3.
The exponents at the singularity are the roots of the polynomial
(x-1)^2 - 3x(x-1) + 3 = 0
This polynomial factors as
(x-1)(x-3) = 0
The roots are x = 1 and x = 3. The exponents at these roots are 2 and -3, respectively.
10) The answer is (a) a < 1, β < 1.
The solutions to the equation x2y'' + axy' + y = 0 approach zero as x → 0 if the coefficient of y'' is positive and the coefficients of y' and y are both negative. This means that a < 1 and β < 1.
Here is a more detailed explanation of why this is the case.
The equation x2y'' + axy' + y = 0 can be rewritten as
y'' + (a/x)y' + (1/x^2)y = 0
This is a homogeneous linear differential equation with constant coefficients. The general solution to this type of equation is
y = C1(x) + C2(x)ln(x)
where C1 and C2 are arbitrary constants.
If we want the solutions to approach zero as x → 0, then we need to choose C1 and C2 so that the term C2(x)ln(x) approaches zero as x → 0. This means that C2 must be equal to zero.
Therefore, the only way for the solutions to approach zero as x → 0 is if a < 1 and β < 1.
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CASE :
A stationery shop has been running for 10 years and is located
near a campus where you study in Jakarta. You often stop by this
store to buy stationery, markers, rulers, and photocopiers for
co
The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.
Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.
The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.
In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.
The sentence can be rewritten as follows to make use of the word "been":
"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."
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question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. let p-hat denote the proportion of adults in the sample who say they support the increase. suppose that 40% of all adults in ohio support the increase. what is the mean of the sampling distribution of p-hat?
The average mean of all 40% of all adults in increase p-hats will be approximately 0.4.
If 40% of all adults in Ohio support the increase, this means that the population proportion is p = 0.4. We can use this value to calculate the mean of the sampling distribution of p-hat, which is given by the formula:
mean of p-hat = p
That is, the mean of the sampling distribution of p-hat is equal to the population proportion. In this case, the mean of the sampling distribution of p-hat is:
mean of p-hat = p = 0.4
So, if we take all possible samples of the same size from the population and calculate the proportion of adults who support the increase in each sample, the average mean of all those proportions (p-hats) will be approximately 0.4.
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A recipe for a dozen iced cookies calls for 2 1/4 cups flour. Which can be used to determine the amount of flour needed to make 32 cookies?
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
\(\frac{2.25}{12}\)=\(\frac{x}{32}\)
12x=72
x=6 cups of flour
Hope this helps!! :)
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
=
12x=72
x=6 cups of flour
Vivienne noticed a metal object lying by the railroad tracks. She believes the object may have originally been a copper penny that was run over by a train. What information about the metal object would be most useful in determining if her hypothesis is correct
The information about the metal object that would be most useful in determining if Vivienne's hypothesis is correct is its density. Therefore, the correct option is D.
This is because density is a measure of an object's mass relative to its volume. Since density is an intrinsic property of the material from which the object is made, it can help determine what type of metal the object is. Furthermore, since copper has a relatively high density, knowing the density of the metal object can help determine whether or not it is made of copper.
Density is a physical property that describes the mass per unit volume of a substance. The term density is used to describe the mass of an object per unit volume. The formula for calculating density is:
Density = mass/volume
Therefore, to determine whether the object is a copper penny that was run over by a train, we need to determine its density. Hence, the correct answer is option D.
Note: The question is incomplete. The complete question probably is: Vivienne noticed a metal object lying by the railroad tracks. She believes the object may have originally been a copper penny that was run over by a train. What information about the metal object would be most useful in determining if her hypothesis is correct? A. its mass B. its texture C. its volume D. its density.
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What is the image of the point (-5,-7) after a rotation of 270° counterclockwise about the origin?
Answer:
7, -5
Step-by-step explanation:
-5, -7 after a rotation of 270 degrees lands in quadrant 2 left y positive where x negative. while 90 degree clockwise is equal to 270 degree counterclockwise = 7 ,-5 What are the coordinates of the image after a rotation of 90 clockwise?
When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M’ (k, -h). Therefore, the new position of point M (-2, 3) will become M’ (3, 2).
How do you calculate a 90 degree rotation?
The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .
What is the image of point 3/5 If the rotation is?
Answer: The image point will be (-3, -5) .
How do you find the coordinates of the image of a point after a 270 degree rotation?
Answer – To find the coordinates of point (x,y) after a 270° counterclockwise rotation about the origin, multiply the x-coordinate by -1 and then interchange the x- and y-coordinates.
How do you find the rotation point?
The x coordinate of the rotated point is rcos(θ), and the y coordinate is rsin(θ). If you plug in 5 and 66.87 for r and θ, you find that the rotated point (x1,y1) = (1.964, 4.598).
What is 270 degrees rotated?
270 Degree Rotation When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
What is 90 degrees counterclockwise?
90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
How do you rotate a point 90 degrees clockwise?
Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x).
What is a 90 degree rotation clockwise?
Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). Let’s understand the rotation of 90 degrees clockwise about a point visually.
How do you calculate a 90 degree rotation? The general rule for rotation of an object 90 degrees is (x, y) ——–> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image.
When to rotate point c 180 or counterclockwise?
And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotation. Point C after a 270-degree rotation. This example should help you to visually understand the concept of counterclockwise geometry rotations.
How to calculate the coordinate point of rotation?
The following formula can be used to calculate the coordinate point in the x-y plane that has rotated by some angle (θ) about the x-axis. Note these formulas are for clockwise rotation. X=xcos (θ)+ysin (θ) Y=−xsin (θ)+ycos (θ) Where X is the new X coordinate. Y is the new Y coordinate. and θ is the angle of rotation.
What is the definition of rotation in geometry?
Rotation Geometry Definition: A rotation is a change in orientation based on the following possible rotations: 90 degrees clockwise rotation 90 degrees
how to find square root
Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:
Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.
Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.
Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.
It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
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Use the distributive property to simplify: 3 - 4(7e+4)
Answer:
-28e-13
Step-by-step explanation:
Distribute -4 to 7e and 4.
-4 x 7e = -28e
-4 x 4 = -16
Next, put them together.
3-28e-16
=-28e - 13
If anyone can help with this, I would really appreciate it ♡♡
Answer:
74
Step-by-step explanation:
102-56=abc/46
56 is bcd and be cuts it in half so cbe is 28 then add 46+28=74
Mrs Thomas walks3/4 of a mile every 1/3 of an hour.How far can she walk in an hour?
Answer:
2.25 miles
Step-by-step explanation:
If she can walk 3/4 of a mile in 20 minutes you need to multiply 3/4 by 3 because 20 times 3 is 60 and there is 60 minutes in a hour
If you have a choice of borrowing money at 8% compounded semi-annually or borrowing at 8.15% compounded annually, which should you choose and why? Please go into detail
one simple way to take a peek at this is by looking at the APY value, namely the Annual Percent Yield for each of the choices, and use the one that gives you the higher APY, higher APY, higher bucks.
\(~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1 \\\\ \textit{for the 8\%} \begin{cases} r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2 \end{cases} \\\\\\ \left(1+\frac{0.08}{2}\right)^{2}-1\implies (1.04)^2-1\implies 0.0816~\hfill 8.16\%\)
\(\textit{for the 8.15\%} \begin{cases} r=rate\to 8.15\%\to \frac{8.15}{100}\dotfill &0.0815\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1 \end{cases} \\\\\\ \left(1+\frac{0.0815}{1}\right)^{1}-1\implies (1.0815)-1\implies 0.0815~\hfill 8.15\%\)
well, clearly the first one has a higher APY, so you'd want that one.
You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
Your friend really wants to buy the newest cell phone which will cost him $750. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $55 to detail a car and $70 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $750?
A: 55c+70x \(\leq\) 750
B: 55c+70x > 750
C: 55c+70x \(\geq\) 750
D: 55c+70x < 750
Answer:
C, 55c + 70x ≥ 750
Step-by-step explanation:
He needs a minimum of $750.
The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that,
Number of cars = c
Number of SUVs = x
Amount paid for detailed car = $55
Amount paid for detailed SUV = $70
Cost of coolest cellphone = $750
The inequality for the given data will be written as below,
(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone
55c + 70x ≤ 750
Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
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6. Danielle wants to construct different triangles with angle measures of
90°, 45°, and 45°, but she was only able to draw the triangle shown
at the right.
What mistake might Danielle have made?
Danielle didn't change the length of triangle then he draw that infinite triangles with given measure.
What is right triangle?
A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles. it.
Given:
Danielle wants to construct different triangles with angle measures of
90°, 45°, and 45°. She was only able to draw the triangle shown at the right.
She did not consider that the triangle could be enlarged or reduced, while keeping the same angle measures, to make a different triangle.
Hence, Danielle didn't change the length of triangle then he draw that infinite triangles with given measure.
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If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?
Answer:
the correct answer is -2. I hope this helped
what are scalene triangles
A scalene triangle is a triangle with three different side lengths and three different angle measurements.
All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.
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Need answer soon asap
1. To obtain the graph of g(x) = 2x + 7 from the graph of f(x), we need to perform a translation of the graph of f(x).
What is graph?Graph is a type of visual representation of data that is used to show the relationship between two or more variables. It is a pictorial representation of data that is used to identify trends, patterns, and correlations. Graphs can be used to compare different sets of data or to show the change in data over a period of time. Graphs can be used to represent data in various forms, including bar graphs, line graphs, scatter plots, histograms, and pie charts. Graphs are a powerful tool for understanding complex data and can be used to make predictions about future trends and behavior.
2. A translation of a graph is a transformation that moves the graph left, right, up, or down without changing its shape.
3. To translate the graph of f(x) up 7 units, we need to add 7 to the y-coordinates of the points on the graph of f(x).
4. This will move the graph of f(x) up 7 units, and the resulting graph will be the graph of g(x) = 2x + 7.
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This graph shows the weights of some squashes at farmers' market: Weights of squashes W X 8 3 8 5 6 3 Pounds How much heavier is the heaviest squash than the lightest squash? Write your answer as proper fraction, mixed number, or whole number: pounds Submit dontt know thls yet > 9.52
1/2
what is whole number?
All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.
According to question,
heaviest squash than the lightest squash are,
\(7/8-3/8=4/8\)
\(=1/2\)
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
If sec(a) = 25.2, then what is the value of cos(a)?
Answer:
Step-by-step explanation:
As we know that cos(a) = 1 / sec(a)
cos(a) = 1/25.2
= 10/252
= 0.0396