Answers
Answer:
For B thru F these options will vary but here how you do it
B. Step 1 Draw the 4 Quadrants.
Then Draw the Triangle in the lower right quadrant which we call quadrant 4. Label the X axis as Adjacent and positive. Label the Y axis as Opposite and negative. Label the Slanted side as the hypotune and AS POSITVE SINCE HYPOTENUSE IS ALWAYS POSITIVE.
FOR C. IN QUADRANT 2, PLOT A POINT AT 0,12 AND AT (-5,0). CONNECT THE DOTS AND IT FORMS A TRIANGLE. Label the X axis as adjacent and negative and the y axis as positve and opposite and label the slanted side hypotunese and positive.
FOR D Draw a straight line along the x axis then draw a slanted line passing through (5,-1). In between them put the theta symbol in there.
The labeling is the same for C.
For E. Since tan must be positve and secant must be positve, our triangle must be in the 1st Quadrant. Draw any right triangle as long it is in the first quadrant
The x axis is adjacent and positve. The y axis is opposite and positve. The hypotenuse is the slanted side and it is positve.
For F. Since sin is negative and cos is positve the triangle is in the 4th quadrant. Draw any triangle in the 4th quadrant and the labeling is the same for Problem B.
2. We can find the sec of cos by flipping cosine.
\( \cos( \frac{x}{y} ) = \sec( \frac{y}{x} ) \)
\( \cos( \frac{1}{2} ) = \sec(2 ) \)
Sec is 2.
To find the cotangent, first let find the sin then tan.
We can use the identity
\( \cos( {theta}^{2} ) + \sin( {theta}^{2} ) = 1\)
Let plug in the number
\( \cos( \frac{ {1}^{2} }{{2}^{2} } ) + \sin(x {}^{2} ) = 1\)
\( \cos( \frac{1}{4} ) + \sin(x {}^{2} ) = 1\)
\( \sin(x {}^{2} ) = 1 - \frac{1}{4} \)
\( \sin(x {}^{2} ) = \frac{3}{4} \)
\( \sin(x) = \frac{ \sqrt{3} }{ \sqrt{4} } \)
\( \sin(x) = \frac{ \sqrt{3} }{2} \)
Since sin is negative, sin x=
\( - \frac{ \sqrt{3} }{2} \)
Now let apply the formula
\( \frac{ \sin(x) }{ \cos(x) } = \tan(x) \)
\( \frac{ \frac{ - \sqrt{3} }{2} }{ \frac{1}{2} } = \tan(x) \)
\( - \sqrt{3} \)
Now let find cotangent we can the reciprocal of
tan.
\( \tan= - \sqrt{3} \)
\( \cot = - \frac{1}{ \sqrt{3} } \)
Rationalize denominator
\( \frac{ - 1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt -{ 3} }{3} \)
cotangent equal
\( - \frac{ \sqrt{ 3} }{3} \)
Related Questions
Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
Answers
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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What is the FORMULA for the VOLUME of a CONE?
Answers
Answer:
V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3
Step-by-step explanation:
hope it will help you dear
you told only formula if you need derevation then say :)
How does Mathematics differ from language to language across the world
Answers
The answer is explained below.
In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.
Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.
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_______________________
Answers
Answer:
C.
Step-by-step explanation:
Solving the equation
Answers
Answer:
-1
Step-by-step explanation:
We need to isolate x.
When we do so, we want it to be a positive term.
-x = 28
To get the x term positive, we divide both sides by -1.
x = -28
Answer:
\(\huge\boxed{-1}\)
Step-by-step explanation:
In order to solve an equation, our goal is to isolate the variable on one side of the equation.
As of now, we have \(-x = 28\)
This is the exact same thing as \(-1x = 28\), since a negative sign also means you multiply it by -1.
We want to divide both sides by the coefficient on x so that we have x, positive and isolated, on one side of the equation.
Therefore we want to divide by -1.
Hope this helped!
Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, then which equation below fully models in the information given in this problem?
Answers
Answer:
Martin is 40 and Ada is 14Step-by-step explanation:
Martin's age = mAda's age = aMartin is two years younger than three times his daughter Ada’s age:
m = 3a - 2The sum of their ages is 54:
m + a = 54Solving this equation for m:
m = 54 - aEliminate m:
3a - 2 = 54 - aSolve for a:
3a + a = 54 + 24a = 56a = 56/4a = 14Find m:
m = 54 - 14 = 40Martin is 40 and Ada is 14
State the domain and range for the following relation. Then determine whether the relation represents a function.{(8,-7)}, (9,7), (10,-7),(11,-7)}
Answers
Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).
Domain: 8, 9, 10, 11
Range: -7, 7
A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.
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help plz on b and c hurry too!! I’ll mark u Brainlyest
Answers
Answer:
b) yes they are, all going up evenly
c) all go up by twice their first number, then by 3
Step-by-step explanation:
Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t)=500−400t−1, where t represents time in years. Find the rate of change of sales for the following number of years.
a.1
b.10
Answers
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
Answers
Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
What is 7/10 - 2/5? It’s for mathematics
Answers
Answer:
3/10
Step-by-step explanation:
7/10 – 2/5
=7/10 – 4/10
=(7–4)/10
=3/10
Answer:
0.3
Step-by-step explanation:
Please help ASAP! Thank you
Answers
Answer:
a. lines intersecting at a single point
b. one solution
Step-by-step explanation:
a. The equations can be rewritten as:
y = -5x+23 and y = -1/6x+1
Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.
Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.
b. The equation will have one solution as below.
The equations can be rewritten as:
5x+y=23
5x+30y=30
Subtracting both equation will result in,
29y=7
=> y=7/29
Hence x= 660/29
Please help. The question is in the attached image
Answers
∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.
In the given question we have to prove ∆GHJ congrurnce ∆KLM.
Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).
As given that;
∠G≅∠K
∠J≅∠M
\(\over{HJ}\) ≅ \(\over{LM}\)
So from the angle sum property of triangle
∠G+∠H+∠J=180................(1)
∠K+∠L+∠M=180.................(2)
Now equation equation 1 and 2
∠G+∠H+∠J=∠K+∠L+∠M
As we know that ∠G=∠K, ∠J=∠M
So now the expression is
∠G+∠H+∠J=∠G+∠L+∠J
After solving ∠H=∠L (3rd Angle Theorem)
Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,
∆GHJ≅∆KLM
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The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Figure ABC is rotated 90° counterclockwise to form th congruent figure A'B'C'. A (26) Rule: (x,y) - (2,3) (6.3) Preimage Image A A' B С С
Answers
Rotation of 90 degrees counterclockwise about the origin
A point A(x,y) when rotated 90 degrees counterclockwise about the origin maps to the point A'(-y,x).
The triangle ABC has the following coordinates:
A(2,6) B(6,3) C(2,3)
The corresponding coordinates of the rotated image can be found by following the rule above: swap the coordinates and invert the new x-coordinate.
This way, the coordinates of the new image are:
A'(-6,2) B'(-3,6) C'(-3,2)
Please help, I’ll mark you as brainiest if you’re correct !!!
Answers
Answer: i think c
Step-by-step explanation:
Answer:
I believe the answer is B i am not 110% sure tho
questions 8-11
quiz 10-2: congruent chords & arcs, inscribed angles, & tangent lines
Answers
The measure of arc WX from the given circle is 53°.
The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
Here, Angle V= Angle X
(6x-7)°=(10x-47)°
10x-6x=-7+47
4x=40
x=10
So, Angle V=(6x-7)°=53°
Now, Angle V=measure of arc WX = 53°
Therefore, the measure of arc WX from the given circle is 53°.
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Math Problem 30 points please help
Answers
Answer: One solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
they intersect at 1 point
Write an equivalent expression for 3x + 21
Answers
hope this helps
4 1⁄6 ÷ 1 1⁄3 =
Please put the mixed fraction answer!
Answers
Answer:
5 5/9
Step-by-step explanation:
4 1/6 = 25/6
1 1/3 = 4/3
To divide fractions, multiply the first fraction by the reciprocal of the second. For example:
a/b ÷ c/d = a/b * d/c
Applying this to our problem, 25/6 ÷ 4/3:
25/6 * 4/3
25*4/18
100/18 = 50/9
5 5/9
Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be the amount in dollars that Paolo spends on salad and pizza. If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation _____.Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation _____.Suppose Paolo has $40.00 to spend on salad and pizza; that is E = $40.00Complete the following table with values of S or P that make the equation true.To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.Budget (Dollars) Salad (Bowls) Pizza (Slice)40.00 0 _____40.00 4 _____40.00 _____ 0
Answers
Answer:
E=5S+2PP=0.5(E-5S)\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|\)
Step-by-step explanation:
Cost of a bowl of salad = $5.00
Cost of a slice of pizza = $2.00
If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:
E=5S+2PNext, we make P the subject of the equation above.
2P=E-5S
\(P=\dfrac{E-5S}{2} \\P=0.5(E-5S)\)
Therefore, The quantity of pizza he buys can be represented by the equation:
P=0.5(E-5S)When E=$40, we are required to complete the table below.
\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|\)
When S=0, E=$40
From P=0.5(E-5S)
P=0.5(40-5(0))=20
When S=4, E=$40
P=0.5(40-5(4))
=0.5(40-20)
=0.5*20
=10
When P=0, E=$40
P=0.5(E-5S)
0=0.5(40-5S)
40-5S=0
5S=40
S=8
Therefore, the completed table is:
\(\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|\)
write as a product: b^2*c^2-4bc-b^2-c^2+1
Answers
Answer:
(b*c+c-1+b)*(-c+b*c-b-1)
or
(b*c + c - 1 + b)*(-c + b*c - b -1)
put both in the same order:
(bc + b + c - 1)( bc - b - c - 1)
Turn the crank:
(bc)2 + b2c + bc2 - bc -b2c -b2 - bc + b -bc2 - bc - c2 + c -bc - b - c + 1
Cancel things....
(bc)2 - bc -b2 - bc - bc - c2 -bc + 1
(bc)2 - 4bc - b2 - c2 + 1
When using the scanning objective (4X), how long would the entire ocular micrometer ruler be in millimeters?2.5 mm
Answers
The entire ocular micrometer ruler be in millimeters 2.3mm
Determine the size of an object/cell? Once the field of view is calculated for your microscope, you will be able determine the size of the objects that you are looking at.You will need to count (or estimate) how many cells will fit across the diameter of the field of view.To get the average size of one cell, you will divide the field of view by the number of cells that would fit across the diameterTo convert the diameter from millimeters to micrometers, multiply the diameter by 1000For the scanning objective (4X),
the objective is the scanning power, The, power is 4X and the Diameter in mm is 2.3mm
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Write the following polynomial function in standard form. f(x)=2x-x^5+2x³ - x²-1-3x¹
Answers
Answer:
-x^5+2x³-x²-1x-1
Step-by-step explanation:
First order the terms based on highest degree or exponent.
-x^5+2x³-x²-3x¹+2x-1
Next combine like terms.
-3x¹ is simply -3x so -3x+2x = -1x
-x^5+2x³-x²-1x-1
My exam, does any one know the answer
Answers
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
\(5x+4=39\)
\(5x=35\)
\(x=7\)
So, the number is 7.
What is 4 1/2=-8/9k I need to know ASAP
Answers
Answer:
-8/81
Step-by-step explanation:
4+1/2=8/9k, 4+1/2 also equals 8/2+1/2 which is 9/2
(9k)9/2=-8/9k(9k), multiply each side by 9k
81k/2=-8
(2)81k/2=-8(2), multiply each side by two
81k=-8
81k/81=-8/81, divide each side by 81
k=-8/81
p2 + m
key :
m = -2/3
p = -3
(the 2 is an exponent)
Answers
Answer:
the correct answer is 8 1/3
Which is the y-intercept of the relationship represented in the table?
x y
7 3
9 5
11 7
13 9
4
2
4-
2-
Answers
Answer:
y = x - 4
Step-by-step explanation:
m, gradient = (5 - 3)/(9-7) = 1
Formula : x - x1 = m( y - y1 )
y - 3 = 1 ( x -7)
Equation : y = x -4
The student council is ordering T-shirts from a website. The T-shirts cost $9 each and there is a shipping fee of $8 for any
amount ordered. The student council wants to spend exactly $710 on the T-shirts. How many T-shirts, x, they can order?
an
Answers
Answer: They can order 78 shirts.
Step-by-step explanation:
9x + 8 = 710
9x = 702
x = 78
**Since the shipping fee is $8 for ANY amount ordered, the price of shipping doesn’t change with the number of shirts — the shipping price is a constant.
how many ml of water would it take to fill a container which can hold 8 1\2 L when full
Answers
Answer:
3
Step-by-step explanation: