Answers
Answer:
15
Step-by-step explanation:
The ratio of a 45 45 90 triangle is:
\(1 : 1 : \sqrt{2}\)
Since you have \(15\sqrt{2}\), that means the ratio will be
\(15 : 15 : 15\sqrt{2}\)
Related Questions
It is often the case that more than one sinusoidal function can be used to model the movement of a periodic function. Examine the example periodic function given below and determine an equation. a) Post an equation you got for the given graph. b) Create your own graph of a transformed trigonometric function and give ONE possible equation for it.
Answers
Answer:
\(\begin{gathered} a)y=-2\cos\left(\frac{8}{5}x\right)-1 \\ b)y=-3\sin\left(\frac{4}{3}x\right)-2 \end{gathered}\)Step-by-step explanation:
The standard trigonometric function is represented by the form:
\(\begin{gathered} f(x)=A\text{ trig \lparen Bx-C\rparen+D} \\ \text{ where,} \\ \text{ A= amplitude } \\ \text{ B= represents the speed of the cycle} \\ \text{ Period is }\frac{2\pi}{b} \\ \frac{c}{b}\text{ represents the pase shift} \\ d=\text{ represents the vertical shift} \end{gathered}\)a) Therefore, for the given graph, since it is a cosine function reflected:
\(y=-2\cos\left(\frac{8}{5}x\right)-1\)b) Now, for your own trigonometric function, do a vertical shift down 2 units of the sinusoidal function, amplitude of 3, reflect it, and let's say it has a period of 3pi/2.
\(y=-3\sin\left(\frac{4}{3}x\right)\ -2\)
What are the X- and y-intercepts for the graph of the equation y = 4 - 2x ?
Answers
Answer:
The x intercept is (2,0)
The y intercept is (0,4)
Step-by-step explanation:
y = 4 - 2x
To find the x intercept, let y =0 and solve for x
0 = 4 - 2x
Subtract 4 from each side
-4 = -2x
Divide by -2
-4/-2 = -2x/-2
2 =x
The x intercept is (2,0)
To find the y intercept, let x =0 and solve for y
y = 4 - 2*0
y = 4
The y intercept is (0,4)
Write an expression to represent: 9 more than the quotient of 2 and x
Answers
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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A quadrilateral has the following coordinates:
Point A: (4,7)
Point B: (−4,7)
Point C: (−4,−7)
Point D: (4,−7)
Enter the length of the side CD.
? units
Answers
HELP, pANYONE PLEASE !!!!
Answers
Answer:
A
Step-by-step explanation:
The line starts at -35, meaning that she starts the ascent 35 meters below the surface and goes upwards over time.
Answer:
a
Step-by-step explanation:
the starting point of the graph or also known as the y axis starts at -35
A man, a woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each other?
Answers
Answer:
Required probability = 2 / 11
Step-by-step explanation:
Sample space of 5 person = 11!
One woman one man arrangement = 2!
Arrangement without woman = 10!
Required probability = [2!][10!] / [11!]
Required probability = 2 / 11
The probability that the parents will be standing next to each other is 2/11
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Sample spaceGiven a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!
The parent arrangement is 2!If they are arranged without the woman, the expected event will be 10!Pr(parents standing next to each other) = 2!10!/11!
Pr(parents standing next to each other) = 2*10!/11*10!
Pr(parents standing next to each other) = 2/11
Therefore the probability that the parents will be standing next to each other is 2/11
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A typical tip in a restaurant is 15% of the total bill. If the bill is $100, what would the typical tip be
Answers
Answer:
15 dollars
Step-by-step explanation:
Total Bill = Cost of the Meal + tip
Total Bill = 100 + 15/100 * 100
Total Bill = 115
So the tip is 15 dollars.
PLS QUICK How did the mountainous geography of Athens influence the economy?
The people of Athens mined gold for trade.
The people of Athens were unable to raise any crops.
The people of Athens focused on the military to protect their region.
The people of Athens relied on sea trade.
Answers
Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.
How did the terrain of Athens influence the economy ?Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.
The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.
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solve x- 7y=20 for y
Answers
Answer:
\(y = -\frac{20-x}{7}\)
Step-by-step explanation:
To solve x - 7y = 20 for y:
Subtract x from both sides:
x - x - 7y = 20 - x
-7y = 20 - x
Divide both sides by -7 to isolate y:
\(\frac{-7y}{-7} = \frac{20-x}{-7}\)
\(y = -\frac{20-x}{7}\)
Answer:
y=1/7x-20/7
Step-by-step explanation:
x-7y=20
7y=x-20
y=1/7x-20/7
C) Graph the equation x = 2.
Answers
Step-by-step explanation:
debes de checar dónde está la x ya la viste okey ve a donde dice -2 y pon un punto
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answers
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
Select the correct answer.
Answers
Answer:it might be A
What is the area of the figure?
Answers
Answer:
The answer is 88 square inches. (A)
Step-by-step explanation:
The shape is broken up into 2 right triangle sand 2 rectangles.
The area of the triangle is 12. You subtract the way it is cut in half where the dashed line that sais (4 in.) so you take 7 - 4 = 3. Now that the 3 is left meaning it is the height of the triangle. and then the bashed line that says
(8 in.) is the base of the triangle. Multiply that and it is 24 but you have to divide by 2 which gives you 12. since there are "Identical" triangles what I do is add 12 which will give you 24 again bc of both triangles combined.
As for the rectangle is both dashed lines (4 in. And 8 in.) multiply it gives you 32, again since here is another "Identical" rectangle you add 32 + 32 = 64 (Both rectangles combined)
Lastly add 64 + 24 = 88
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
Answers
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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pls help im being timed
Answers
Answer:
He needs 8 health packs
Step-by-step explanation:
3x + 5 \(\geq\) 29
3x \(\geq\) 24
x \(\geq\) 8
Taxes are levied or collected by whom?
Choose all that apply
state
federal
local
law enforcement
Supreme Court
Answers
Taxes are levied or collected by:
state
federal
local
What is a tax?Taxes are mandatory contributions levied by a government entity, whether local, regional, or national, on individuals or corporations. Taxation funds government activities such as public works and services such as roads and schools, as well as programs such as Social Security and Medicare.
In economics, taxes are levied on whoever bears the burden of the tax, whether the entity being taxed, such as a business, or the end users of the business's goods.
Most governments rely on taxes as their primary source of revenue. This money is used to improve and maintain public infrastructure, including roads, as well as to fund public services such as schools, emergency services, and welfare programs.
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ii) A plate holds 7 cup cakes, each with a different colour icing,
and 4 brownies, each of a different size. Find the number of different
ways these 11 cakes can be arranged in a row if no brownie is next to
another brownie.
iii) A plate of biscuits holds 4 identical chocolate biscuits, 6
identical shortbread biscuits and 2 identical gingerbread biscuits.
These biscuits are all placed in a row. Find how many different
arrangements are possible if the chocolate biscuits are all kept
together.
Answers
Using the arrangements formula, the number of ways to organize the plates in each case is given as follows:
ii) No brownie next to another brownie: 570,240
iii) Chocolate biscuits kept together: 8,709,120.
What is the arrangements formula?The number of possible arrangements of a set of n elements is given by the factorial of n, that is:
\(A_n = n!\)
In item a, if the brownies cannot be together, we have that:
In 8 of the 11 positions(combination), the arrangements will be of 4! and 4!, due to the 4 brownies and the 4 cupcakes.In the remaining 3 positions, they will be organized in 3! ways.Hence the number of ways to organize the cupcakes is:
\(C_{11,8} \times 4! \times 4! \times 3! = \frac{11!}{8!3!} \times 4! \times 4! \times 3! = 570,240\)
In item b, the chocolate biscuits have to be kept together, hence:
The 4 biscuits can be ordered in 9 positions, from 1-4 to 9-12.In these positions, they are arranged in 4! ways.The remaining biscuits are arranged in 8! ways.Hence the number of ways that the biscuits can be arranged is:
9 x 4! x 8! = 8,709,120.
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Log20x=3 need the answer for algebra 2
Answers
Answer:
x = 50
Step-by-step explanation:
What are the first three terms of the sequence modeled by the recursive function An=1/2a n-1 , when a1=1?
Answers
Answer:
A on edge trust
Step-by-step explanation:
The first three term of the sequence are,
⇒ 1/2 , 1/4, 1/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The recursive function is,
⇒ \(A_{n} = \frac{1}{2} a_{n - 1}\)
And, We have;
⇒ a₁ = 1
Now, The recursive function is,
⇒ \(A_{n} = \frac{1}{2} a_{n - 1}\)
Put n = 2;
⇒ \(A_{2} = \frac{1}{2} a_{2 - 1}\)
⇒ \(A_{2} = \frac{1}{2} a_{1}\)
⇒ \(A_{2} = \frac{1}{2}\ * 1\)
⇒ \(A_{2} = \frac{1}{2}\)
Put n = 3;
⇒ \(A_{3} = \frac{1}{2} a_{3 - 1}\)
⇒ \(A_{3} = \frac{1}{2} a_{2}\)
⇒ \(A_{3} = \frac{1}{2}\ * \frac{1}{2}\)
⇒ \(A_{3} = \frac{1}{4}\)
Put n = 4;
⇒ \(A_{4} = \frac{1}{2} a_{4 - 1}\\\)
⇒ \(A_{4} = \frac{1}{2} a_{3}\)
⇒ \(A_{4} = \frac{1}{2}\ * \frac{1}{4}\)
⇒ \(A_{4} = \frac{1}{8}\)
Thus, The first three term of the sequence are,
⇒ 1/2 , 1/4, 1/8
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find x
find the measure of angle B
find the measure of angle C
Answers
Answer:
Step-by-step explanation:
A fact to know: The measure of exterior angle of a triangle = the sum of the two remote interior angles.
So 120 = 22x + 4 + 15x + 5
120 = 37x + 9
111 = 37x
3 = x
m ∠B = 22 (3) + 4 = 70
m ∠C = 15(3) + 5 = 50
OR The exterior angle + m ∠CDB = 180 Definition of straight angle
So m ∠CDB = 60°
The sum of the angles in a triangle= 180
15x + 5 + 22x +4 + 60 = 180; 37x + 69 = 180; 37x = 111; x = 11
Determine the constant of proportionality.
Answers
Answer:
2
Step-by-step explanation:
Answer:
-3x = y
-3 is the constant of proportionality
Step-by-step explanation:
Find the range of the graphed function O A. -95ys 5 B. yis all real numbers. C. y20 D. Osys 10
Answers
as i am seeing the graph,
the range of the graph will be
y = -9 to y= 5
as we can see that the lowest point on the graph is -9 in down side
and highest point of the graph is 5 up side
so the range of the graph is
-9 < = y <= 5
\(-9\leq y\le5\)Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
Answers
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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A number has 7 in its thousands place and is less than 54,00. How many such numbers are there?
Answers
There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.
Consider the possible digits in the hundreds, tens, and one's places.
Thousands of places: There is only one possibility, which is 7.
Hundreds place: Any digit from 0 to 9 is possible.
Tens place: Any digit from 0 to 9 is possible.
One place: Any digit from 0 to 9 is possible.
Since the number is less than 54,000, the digit in the hundreds place cannot be 5.
So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.
So, the total number of such numbers is:
9 x 10 x 10 x 10 = 9,000
Therefore, there are 9,000 numbers that satisfy the given condition.
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How to write this standard form? 2y=3x+5
Answers
The standard form of the equation is as follows:
3x -2y + 5 = 0
Define equations?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is known as an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
In the question,
The given equation is: 2y = 3x + 5
Standard form: ax + by + c = 0
Now,
2y = 3x + 5
Subtracting 2y from both the sides:
0 = 3x + 5 - 2y
Rearranging the equation we get,
3x -2y + 5 = 0
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How to get the coordinate points over the line y=x
Answers
What is the area of the rectangle written in simplest form
A-5/9ft
B-3/4ft
C-3ft
D-31/3ft
Answers
Answer:
ans is A
area = l*b
area=(5/6)*(4/6)=20/36=5/9
For the same random sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to determine the approximate percent of heights that lie between 59.5 inches and 69.1 inches.
Round your answer to the nearest whole number (percent).
Answers
Answer:
95%
Step-by-step explanation:
Mean , xbar = 64.3; standard deviation, s= 2.4
Using the empirical formula where ;
68% of the distribution is within 1 standard deviation from the mean ;
95% of the distribution is within 2 standard deviation from the mean
percent of heights that lie between 59.5 inches and 69.1 inches.
Number of standard deviations from the mean /
Z = (x - μ) / σ
(x - μ) / σ < Z < (x - μ) / σ
(59.5 - 64.3) / 2.4 < Z < (69.1 - 64.3) / 2.4
-2 < Z < 2
Thia is within 2 standard deviations of the means :
2 standard deviation form the mean = 95% according to the empirical rule.
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answers
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?
Answers
Step-by-step explanation:
\( \bf \underline{Given-} \\ \)
\( \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ \)
\( \bf \underline{To \: find-} \\ \)
\( \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ \)
\( \bf \underline{Solution-} \\ \)
\( \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ \)
\( \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ \)
Take LCM of 3 & 5 is 15.
\( \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ \)
\( \sf{ = \frac{305}{15} \: Kg} \\ \)
\( \sf{ =2 \frac{5}{15} \: Kg} \\ \)