Answers
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{6^2 - 4^2}=a\implies \sqrt{36-16}=a\implies \sqrt{20}=a\implies 2\sqrt{5}=a \\\\[-0.35em] ~\dotfill\\\\ sin(A )=\cfrac{\stackrel{opposite}{2\sqrt{5}}}{\underset{hypotenuse}{6}}\implies sin(A)=\cfrac{\sqrt{5}}{3} \\\\\\ cos(B )=\cfrac{\stackrel{adjacent}{2\sqrt{5}}}{\underset{hypotenuse}{6}}\implies cos(B)=\cfrac{\sqrt{5}}{3}[/tex]
Related Questions
Find dy/dx any one
x=acost , y=asint
Answers
Answer:
[tex]x=a \cos t \implies \dfrac{dx}{dt}=-a \sin t[/tex]
[tex]y= a \sin t \implies \dfrac{dy}{dt}=a \cos t[/tex]
Using the chain rule:
[tex]\begin{aligned}\implies \dfrac{dy}{dx} & =\dfrac{dy}{dt} \times \dfrac{dt}{dx}\\\\& = a \cos t \times \dfrac{1}{-a \sin t}\\\\& = \dfrac{a \cos t}{-a \sin t}\\\\& = - \dfrac{\cos t}{\sin t}\\\\& = - \cot t\end{aligned}[/tex]
Find ac when a = 2 and c = 9?
Answers
Answer:
ac = 18
Keys:
[tex]\sf Given\\a = 2\\c = 9\\ac = a \cdot c[/tex]
Step-by-step explanation:
[tex]\sf a(2) \cdot c(9) = 18[/tex]
Answer:
The answer would be 18.
Step-by-step explanation:
ac is equal to a multiplied y c. Since we know that a is equal to 2 and c is equal to 9, we know we have to set up the equation 2(9). (Note: The parentheses around the 9 means you multiply by that number). 2 times 9 is equal to 18, getting you your answer. I hope this helps! :)
Try This Q 1. Write the expressions for each of the following using brackets. (a) Four multiplied by the sum of nine and two. (b) Divide the difference of eighteen and six by four. (c) Forty five divided by three times the sum of three and two. 2. Write three different situations for (5+8) x 6. (One such situation is: Sohani and Reeta work for 6 days; Sohani works 5 hours a day and Reeta 8 hours a day. How many hours do both of them work in a week?) 3. Write five situations for the following where brackets would be necessary. (a) 7(8-3) (b) (7+2) (10-3)
Answers
Answer:
Step-by-step explanation:
Writing expressionsa) Sum of nine and two ⇒ 9 + 2
Four multiplied by (9+2) :
4* (9+2)
[tex]b) \dfrac{(18-6)}{4}[/tex]
[tex]c) \dfrac{45}{3*(3+2)}[/tex]
2) a) Multiply the sum of five and eight by 6
b) There 5 story books in 6 red bags and 8 art books in 6 blue bags. How many books are there?
3) a) 7*(8-3)
Multiply the difference of eight and three by 7.
4(x-5)-(6x + 1)= 2x -19
Answers
Answer:
Step-by-step explanation:
Comment
I take it you want the value for x.
Solution
4(x-5)-(6x + 1)= 2x -19 Remove the Brackets.
4x - 20 - 6x - 1 = 2x - 19 Combine like terms
-2x - 21 = 2x - 19 Add 2x to both sides
-2x-21+2x = 2x + 2x - 19 Combine
-21 = 4x - 19 Add 19 to both sides
-21+19 = 4x -19 + 19 Combine like terms
-2 = 4x Divide by 4
-2/4 = x
x = - 1/2
Answer: x = - 1/2
or x = -0.5
Why do test makers refer to the first term in a sequence as a sub zero sometimes as opposed to a sub 1?
Answers
The first term in a sequence is sometimes referred to as [tex]a_0[/tex] as opposed to [tex]a_1[/tex] because [tex]a_0[/tex] represents the initial value
How to explain the sequence statement?The question refers to the difference between the terms
[tex]a_o[/tex] and [tex]a_1[/tex]
The terms in a sequence are represented by a subscript number.
Take for instance a₂ or T₂ represents the second term.
However, when the first term is represented by a₀ instead of a₁.
It means that the sequence has an initial value, other than the first term.
Even though the words "first" and "initial" are synonyms, they do not entirely represent the same thing.
Take for instance, a₀ can be used instead of a₁ in the following scenario
The population of a country is 1000 in 1996 and The country experiences an increment of 250 people every year after 1996.
The above means that:
a₀ = 1000 --- the initial year
a₁ = 1000 + 250 = 1250 ---- the first year after 1996 (i.e. 1997)
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Please help me and I need help with my 2 Ixls
if someone can please help me it will make me happy
Answers
Answer:
S = 40 square inches
Step-by-step explanation:
Surface area = area of base + area of lateral faces
Area of the base (square):
A = lw
A = 4(4)
A = 16
Area of lateral faces (triangle and there are 4 of them):
A = bh/2
A = 3(4)/2
A = 12/2
A = 6
Since there are 4 lateral faces, multiply the area by 4.
6 x 4 = 24
Surface area = 16 + 24
S = 40 square inches
Jose is 35 years old, and makes $40,000 per year. If he dies, how much would
the beneficiaries of his life insurance policy receive if they can get by on 75% of
his income?
Answers
The amount that the beneficiaries of his life insurance would receive would be $30000.
How to solve for the amount that would be receivedThe total amount of insurance is 40000
percentage needed by beneficiaries on this amount = 75%
Hence 75% * 40000
= $30000
Therefore it can be concluded that the amount that the beneficiaries would require on 75% is $30000.
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HELP ASAP Calculate the residuals for your scatterplot in step 2d.
Create a residual plot for your data. graph is below
Answers
The residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7
How to determine the residuals?The regression equation is given as:
y = 0.141x + 0.842
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.141 * 13.8 + 0.842 = 2.78
y = 0.141 * 18 + 0.842 = 3.38
y = 0.141 * 16.7 + 0.842 = 3.20
y = 0.141 * 18 + 0.842 = 3.38
y = 0.141 * 0.7 + 0.842 = 0.94
y = 0.141 * 21.9 + 0.842 = 3.93
y = 0.141 * 15.5 + 0.842 = 3.03
y = 0.141 * 9.2 + 0.842 = 2.14
y = 0.141 * 19.5 + 0.842 = 3.59
y = 0.141 * 16.7 + 0.842 = 3.20
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
Residual = 1.42 - 2.78 = -1.36
Residual = 3.7 - 3.38 = 0.32
Residual = 3.21 - 3.20 = 0.01
Residual = 4 - 3.38 = 0.62
Residual = 1.11 - 0.94 = 0.17
Residual = 3.69 - 3.93 = -0.24
Residual = 3.92 - 3.03 = 0.89
Residual = 2.23 - 2.14 = 0.09
Residual = 3.77 - 3.59 = 0.18
Residual = 2.5 - 3.20 = -0.7
Hence, the residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7
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The sum of three times the number n and 6 is, at most, the difference between the number n and 5.
Answers
Step-by-step explanation:
3n+6≤n-5
2n≤-11
n≤-5.5
23.4571 to the nearest 10
Answers
23.4571 to the nearest 10
asnwer: 23.5
In an examination, Musa got 7 marks
more than Emmanuel. If Emmanuel
had 25 marks and Faith had 1/4 of
Musa's mark more than Emmanuel's
mark, what is the score of Faith
Answers
Answer:
Let Musa's mark be = m
Emmanuel's mark be = e
Faith's mark be = f
m = e + 7
e = 25
m = 25 + 7 = 32
f = 1/4 m + e
f = (1/4 × 32) + 25
f = 8 + 25
f = 33
The weight of 1 cm³ of
water is exactly I g.
A small desk top fish
tank is pictured below.
How much does the
water in the tank weigh
in kilograms?
HELP
Answers
Answer:
10,800 kilograms
Step-by-step explanation:
(24 x 30) x 15 = 10,800
or (24 x 15) x 30
Solve: −8(−3m−5)+2=5(−m−3)−1.
Answers
- 3.4 The rectangular box has the length of 8x² and the breadth of 6x² - 4x
3.4.1 What is the area of the box? to
Answers
The formula for calculating the area of a rectangle is expressed as A = lw. The area of the box is 48x^4 - 32x^3 cubic units
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = lw
Given the following parameters
length l = 8x² breadth w = 6x² - 4xDetermine the area
Area = (8x²)6x² - 4x
Area of the box = 48x^4 - 32x^3
Hence the area of the box is 48x^4 - 32x^3 cubic units
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Based on the measures
provided in the diagram,
determine the measure of
the angle 0
(You may assume that point A is the
center of the circle and that DC is a
diameter.)
O 40°
O 50⁰
O 45⁰
1000
Answers
A circle is a curve sketched out by a point moving in a plane. The measure of the ∠ACB or θ is 50°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
In order to solve the problem, we need to draw a line segment AB. Since A is the center of the circle AC and AC both will be the radius of the triangle ΔABC. Since two sides of the triangle are equal, the measure of ∠ABC and ∠ACB will be equal therefore, we can write,
∠ACB + ∠ABC + ∠BAC = 180°
2∠ACB + 80° = 180°
∠ACB = 50°
Hence, the measure of the ∠ACB or θ is 50°.
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Writing One Variable Algebraic
Expressions
Leslie buys a new pair of sneakers for $43 and several
pairs of laces, I, that cost $6 each. Write an algebraic
expression to represent the total amount she will spend.
Answers
Answer:
y = 6l + 43
Step-by-step explanation:
y=mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
The y intercept is when x = 0, so the initial cost before buying the laces, which was the cost of the sneakers
b = 43
The slope is you purchase one pair of laces, it increases by 6 each time
m = 6
The y coordinate will represent the total cost spent
y
The x coordinate will represent the total number of laces purchase and we are told that the variable is l
x = l
combine:
y = 6l + 43
Using data from 1996 to 1998, the annual number of cars sold at a certain dealership can be modeled by the formula y = 4x + 2. Where y is the number of cars in thousands sold x years after 1996. According to this form line in which years will be the number of car sold exceed 46,000
Answers
The year, where the number of cars sold exceed 46,000 is 13496
How to determine the year?The equation of the function is given as:
y = 4x + 2
When the sales exceed 46000;
It means that y > 46000
So, we have:
4x + 2 > 46000
Subtract 2 from both sides
4x > 45998
Divide both sides by 4
x > 11499.5
The year is then calculated as:
Year = 1996 + x
So, we have:
Year > 1996 + 11499.5
Evaluate
Year > 13495.5
Approximate
y > 13496
Hence; the year, where the number of cars sold exceed 46,000 is 13496
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Which step is the same when constructing an inscribed square and an inscribed regular hexagon?
O Construct a circle first
O Construct a line first
O Set the compass to the radus
Set the compass to greater than half the diameter
Question 4 Multiple Choice Worth 1 points)
(01.03 MC)
Answers
After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.
What is a regular hexagon?A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.
Steps to create an inscribed hexagon:
1: The structure needs to adjust the box thickness towards that radius.
2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.
"Set the compass to the radius of the circle" so, option C is correct.
Thus the above answer is correct.
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Answer:
Construct a circle first
Step-by-step explanation:
If you're going to inscribe any figure in a circle, the first construction you need to do is construct the circle.
__
Additional comment
The attached shows our construction of an inscribed square and an inscribed regular hexagon. Here are the steps we used. You will notice the first step is construct a circle. (It could be, construct line AB, then construct circle A with radius AB.)
We have used line AB in the construction of the hexagon, but the hexagon could have been constructed without it. That is why "construct a circle first" is likely a better choice for a common first step.
square
construct circle A and locate a point B on itconstruct line AB, and locate point C at the other intersection of AB and circle Aset the compass to greater than half the diameterusing B as a center, draw arc RSusing C as a center, draw arc RS using the same compass setting. Label the intersection points R and S.draw line RS. Label the points of intersection with the circle as T and U.draw inscribed square CTBUregular hexagon
construct circle A and locate a point B on itconstruct line AB, and locate point C at the other intersection of AB and circle Awithout changing the compass, using B as a center, draw arc KL. Label intersection points K and L.using C as a center, draw arc JM. Label intersection points J and M.draw inscribed hexagon CJKBLM__
Arguably, the first step to constructing a circle is set the compass to the radius. We chose to ignore this because one of the ways to construct an inscribed hexagon is to mark off successive arcs around a circle that have a radius equal to the radius of the circle. We did not use that method. (The use of diameter BC made drawing 5 arcs around the circle unnecessary. We drew 2 instead.)
Or, you could argue that construct a line first is needed before you set the compass to the radius. If this is the first step, then the next steps would be to mark the center of the circle on the line, and mark another point at a distance of the radius from that center point.
What you consider to be the first step depends on the level of detail you want to attend to.
please help meeeee I really need it
Answers
Evaluate the following for the given value. -2mn + n - 3m for m = -3 and n = -2
Answers
Hey there !
Answer:
-5 is the answerStep-by-step explanation:
In this question we are given with an expression that is -2mn + n - 3m , value of m as -3 , value of n as -2 . And we are asked to evaluate the expression .
Solution : -
For solving such types of expression in which we are provided with values of variables we need to substitute value of variable ( in given equation m and n ) and solve them .
Expression :
[tex] \longmapsto \: \qquad \: \rm{- 2mn + n - 3mn}[/tex]
Substituting value of m and n :
[tex] \longmapsto \: \qquad \: - 2( - 3)( - 2) + ( - 2) - 3( - 3)[/tex]
Simplifying it :
[tex]\longmapsto \: \qquad \: - 2(6) - 2 + 9[/tex]
Multiplying -2 and 6 :
[tex]\longmapsto \: \qquad \: - 12 - 2 + 9[/tex]
Adding -12 and -2 :
[tex]\longmapsto \: \qquad \: - 14 + 9[/tex]
Solving -14 and 9 :
[tex]\longmapsto \: \qquad \: \underline{ \blue{\boxed{\frak{- 5}}}} \quad \bigstar[/tex]
Henceforth , ❝ -5 ❞ is the answer .#Keep LearningHi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to evaluate the expression
[tex]\star~\mathrm{-2mn+n-3m}~\star[/tex]
for
[tex]\star~\mathrm{m=-3}~\star[/tex]
[tex]\star~\mathrm{n=-2}~\star[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Substitute the values of m and n into the expression.So, let's compute...
//\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\
Evaluating the expression
Since the value of m is -3, we should substitute -3 for m:
[tex]\star~\mathrm{-2(-3)n+n-3(-3)}[/tex]
Since the value of n is -2, we should substitute -2 for n:
[tex]\star~\mathrm{-2(-3)(-2)+(-2)-3(-3)}[/tex]
Simplify!
[tex]\star\mathrm{6(-2)-2+9}[/tex]
Simplify more!
[tex]\star\mathrm{-12-2+9}[/tex]
[tex]\star~\mathrm{-14+9}[/tex]
[tex]\boxed{\mathrm{-5}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?
Answers
Answer:
3 and 5 is the correct answer in this question
Step-by-step explanation:
please makes me a brainlest
Help with my study guide only answer topic 7 problem A
Answers
sin P = 24/26
cos P = 10/26
tan P = 24/10
sin Q = 10/26
cos Q = 24/26
tan Q = 10/24
you have the first part right. using Soh Cah Toa is the best way to find the trig function when given a labeled triangle.
remember the hypotenuse is the longest side and always across from the 90 degree angle.
Which of the following functions has a maximum y-value of 2?
y = 2(x + 1)² +3
y = 3(x + 1)² +2
O y=-3(x + 1)² + 2
Oy=-(x - 2)² + 3
Answers
Answer:
-3(x+1)² + 2
Step-by-step explanation:
-3(x+1)² + 2 because the +2 indicates the y value of the turning point and the turning point is a maximum meaning the coefficient must be negative leaving this answer
Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Answers
The correct description of the graph:
"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."
Which graph is the graph of the given functions?
Here we have the function:
[tex]f(x) = \frac{2x - 1}{x - 1}[/tex]
The graph of this function can be seen below:
Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).
Then the correct option is:
"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."
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Answer:
Graph D
Step-by-step explanation:
Which points are solutions to the system of inequalities shown below? Check all that apply.
y > x
y > 2
x > 4
A.(6, 4)
B.(9, -2)
C.(4, 2)
D.(9, 10)
E.(8, 1)
F.(5, 6)
Answers
Answer: D and F
Step-by-step explanation:
For the first inequality, we know that y>x, so this eliminates options A, B, C, and E. This means we only need to check D and F.
Both D and F have a y coordinate greater than 2 and an x coordinate greater than 4, so they are both correct.
Gravano Engineering co has the following items appearing in its statement of financial position at the year end:
What is the total for:
1. Non-current assets?
2. Current assets?
Trade payables 39000
2) Cash at bank 14,000
3). Motor vans 25000 4)Inventories 7000
5) Bank overdraft 13,000 6)Property 96,000
7)Trade receivables 43,000
8)Plant and equipment 26,000
9)Trademarks 28,000 10. Fixtures and fittings 17,000 11. Mortgage on property 45,000
Answers
Based on the items appearing in Gravano Engineering's Statement of Financial Position at the year-end, the totals for the following are:
1. Non-current Assets = $192,000
2. Current Assets = $64,000
What is a Statement of Financial Position?A Statement of Financial Position is a financial statement that shows an entity's assets, liabilities, and equity.
Assets are items owned by an individual or entity that generate current, future, or potential economic benefits.
Liabilities are financial obligations that an individual or entity owes creditors.
Equity is the difference between assets and liabilities, which refers to the financial benefits accruing to the stockholders.
Data and Calculations:1. Trade payables $39,000
2. Cash at bank 14,000
3. Motor vans 25,000
4. Inventories 7,000
5. Bank overdraft 13,000
6. Property 96,000
7. Trade receivables 43,000
8. Plant and equipment 26,000
9. Trademarks 28,000
10. Fixtures and fittings 17,000
11. Mortgage on property 45,000
Current Assets:2. Cash at bank 14,000
4. Inventories 7,000
7. Trade receivables 43,000
Total current assets = $64,000
Non-Current Assets:3. Motor vans 25,000
6. Property 96,000
8. Plant and equipment 26,000
9. Trademarks 28,000
10. Fixtures and fittings 17,000
Total non-current assets = $192,000
Thus, the total non-current assets are $192,000 and the current assets total $64,000.
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exponential decay functions
Answers
Exponential decay function is a form of an exponential function
What are exponential decay function?These are exponential functions that reduce in value as the input value increases.
This in other words, means that the rate of an exponential decay function is less than 1.
An exponential function is represented as:
[tex]y = ab^x[/tex]
Where b is the rate.
When b < 1, the function is an exponential decay function
For instance:
[tex]y = 3(0.9)^x[/tex] is an exponential decay function
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You are a for-hire motor carrier. Subpart A requires you to maintain a minimum level of financial
responsibility when transporting any quantity of what type of material in intrastate commerce?
A. All hazardous material
B. Class 7 material
C. Division 1.2 explosive material
D. Nonbulk oil
E. Nonbulk hazardous materials
Answers
You have to maintain a minimum level of financial responsibility when transporting any type of hazardous material in intrastate commerce Option A is correct.
What is Interstate commerce?Interstate commerce refers to any transaction or movement of goods, services, or money over state lines.
You operate a motor carrier for hire. When shipping any quantity of hazardous material in intrastate trade, A mandates that you maintain a minimum degree of financial accountability.
Hence option A is correct.
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Answer: A is correct
Step-by-step explanation:
The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the origin and that one of the riders on the circular ring is at (16, 15.1). If one unit on the coordinate plane equals 1 foot, give an approximation of the circumference of the ride to the nearest foot.
Answers
The approximation of the circumference of the ride is 138 feet to the nearest foot
How to determine the circumference?The given parameters are:
Center (a,b) = (0,0) i.e. the originA circular ring, (x,y) = (16,15.1)The radius is calculated using:
[tex]r = \sqrt{(x - a)^2 + (y -b)^2}[/tex]
So, we have:
[tex]r = \sqrt{(16 - 0)^2 + (15.1 -0)^2}[/tex]
Evaluate
r = √484.01
Evaluate the square root
r = 22.0
The circumference is calculated using
C = 2πr
So, we have:
C = 2π * 22.0
Evaluate
C = 138
Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet
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A parking garage in Raleigh, NC charges $5 for the first hour and $2.50 for each additional hour or part of an hour. Your receipt reads $20. How many hours did you park in the garage?