Using SOH CAH TOA the ratio that would be used to determine the value of x is cos (20°) = 54 / x. The correct options is C. cos (20°) = 54 / x
Determining the ratio that could be used to determine the value of xFrom the question, we are to determine the ratio that could be used to determine the value of x
From the given information, we have a diagram that shows a right triangle with hypotenuse x, an adjacent side 54, and an included angle of 20°.
To determine the value of x, we will use SOH CAH TOA
sin (angle) = Opposite / Hypotenuse
cos (angle) = Adjacent / Hypotenuse
tan (angle) = Opposite / Adjacent
Thus,
Using the cosine ratio from SOH CAH TOA
cos (20°) = 54 / x
Hence, the ratio is cos (20°) = 54 / x
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WILL MARK BRAINLIEST
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
Can someone help? :)
The slope is \(\frac{3}{4}\)
What is slope ?
A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not. Any two clearly separated points on a line can be used to calculate the slope of any line. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined.
here the given two pints are
\((x_1,y_1)=(-2,4)\\(x_2,y_2)=(6,10)\)
Now using slope formula,
slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
=> slope m = \(\frac{10-4}{6+2}\)
=> slope m = \(\frac{6}{8}\)
=> slope m = \(\frac{3}{4}\)
Therefore the slope is \(\frac{3}{4}\).
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PLEASEE HELPPP!
what is the measure of
Answer:
x=12
Step-by-step explanation:
Im not sure which measure you're talking about, but I'll show you what I did here:
A triangle = 180 degrees.
4x + 8x + 4x =16x
-8 - 1 - 3 = -12
180 = 16x - 12 -Add 12 to both sides
192 = 16x -divide by 16 to get x by itself
12 = x
Angle A = 88 degrees (8 times 12 then subtract 8)
Angle B = 47 degrees (4 times 12 then subtract 1)
Angle C = 45 degrees (4 times 12 then subtract 3)
4y^5-6y+8y^2-1 for y = -1
Answer:9
Step-by-step explanation:
Si al número de grados sexagesimales que contiene un ángulo se le resta 13, y a
un número de grados centesimales se le resta 2, se obtienen dos cantidades en la
relación de 2 a 3. ¿Cuál es la medida circular del ángulo?
Answer:
I am not sure my guy
Step-by-step explanation:
sorry?
what is the relationship between a and b in a star?
Answer:
Step-by-step explanation:
The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared." Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.
For a given week, latoya's coffee house has available ounces of a grade coffee and ounces of b grade coffee. these are blended into -pound packages as follows: an economy blend that contains ounces of a grade coffee and ounces of b grade coffee, and a superior blend that contains ounces of a grade coffee and ounces of b grade coffee. (the remainder of each blend is made of filler ingredients.) there is a profit on each economy blend package sold and a profit on each superior blend package sold. assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?
Certainly! Let's consider an example with arbitrary numbers to illustrate the concept.
Let's assume Latoya's Coffee House has the following values:
Available ounces of grade A coffee: 100 ounces
Available ounces of grade B coffee: 80 ounces
Economy blend composition: 4 ounces of grade A coffee and 2 ounces of grade B coffee
Superior blend composition: 5 ounces of grade A coffee and 3 ounces of grade B coffee
Profit per economy blend package: $5
Profit per superior blend package: $7
Now, we can proceed to determine the number of packages of each blend that should be made to maximize the profit for the week.
Let's say Latoya's Coffee House produces 'x' packages of the economy blend and 'y' packages of the superior blend.
Profit for the economy blend: P_economy = 5 * x
Profit for the superior blend: P_superior = 7 * y
The total profit for the week, P_total, is given by:
P_total = P_economy + P_superior
P_total = 5x + 7y
We need to maximize P_total while considering the available ounces of grade A and grade B coffee.
The constraints are as follows:
4x + 5y ≤ 100 (Available ounces of grade A coffee)
2x + 3y ≤ 80 (Available ounces of grade B coffee)
Additionally, 'x' and 'y' should be non-negative since we cannot produce negative packages.
To solve this linear programming problem and find the optimal values for 'x' and 'y', we can use optimization techniques such as the simplex method or graphical methods.
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What similarity statement can you write relating the three triangles in the diagram?
Answer:
They are both right-angled triangles.
Step-by-step explanation:
Question should guns be allowed to be at school for example can a security guard have a gun?
Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.
Step-by-step explanation:
Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.
Step-by-step explanation:
Pls help me I need some help
Answer:
THIS IS SO EASY JUST OPEN YOUR BRAIN AND DO IT THIS IS LIKE 2nd GRADE CMON!!!!
Step-by-step explanation:
Answer: I’m am not sure but i think it is 126
Step-by-step explanation:
The value of which of these expressions is closest to e?
Answer:
the answer is D
Step-by-step explanation:
Got it wrong on the A*pex test D is the correct answer
1+(1/30)30
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.
Step-by-step explanation:
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.
644 = 12a + 200
444 = 12a
a = 37
The area of a circle is 121 pi squared meters find the area of the sector whose central angle is 28°
The sector's needed area while adopting the center angle is 75.6°.
What is the central angle?When two circle radii come together to form a vertex in the center of a circle, the result is a central angle.
This circle's arms could come from two different locations along its arc.
The intersection of the two radii produces a central angle that makes it easier to divide a circle into several halves.
Area of circle:
πr² = 121π
r² = 121
r = 11 m
Now, the area of the sector:
= θ/360 * πr²
= 28/360 * 3.14 * 11 * 11
= 72 * 379.94/360
= 72*1.05
= 75.6
Therefore, the sector's needed area while adopting the center angle is 75.6°.
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PLEASE HELP ASAP WILL GIVE BRAINLY
1st = (-4,5)
2nd = (-2,3)
3rd = (0,1)
4th = (2,-1)
5th = (4,-3)
what are the 3 Fibonacci sequence
5,2,7,5,12,7,19,12,31,19
The given sequence (5, 2, 7, 5, 12, 7, 19, 12, 31, 19) does not follow the traditional Fibonacci sequence. However, we can observe some patterns within this sequence.
If we consider the alternate numbers in the sequence, we can see that they form their own smaller Fibonacci-like sequences: 5, 7, 12, 19, 31. These numbers do not follow the exact Fibonacci pattern but exhibit a similar trend of increasing values.
On the other hand, the remaining numbers in the sequence (2, 5, 7, 12, 19) do not seem to follow any specific pattern. They do not correspond to the usual Fibonacci sequence or any clear mathematical progression.
In conclusion, while the given sequence may exhibit some similarities to the Fibonacci sequence in terms of increasing values, it does not strictly adhere to the traditional Fibonacci pattern, and it is not considered a Fibonacci sequence.
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Arianna' Diner old 80 milkhake lat week. 35% of the milkhake had whipped cream on top. How many milkhake with whipped cream were old?
The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.
Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.
Total milkshakes: 80
Milkshakes with whipped cream: 28
Percentage: 28/80 = 0.35 = 35%
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Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
y = 4x + 3
4x + y = 3
Answer: neither
Step-by-step explanation:
For a graph to be parallel, it must have the same slope.
e.g., y = 2x and y = 2x + 1 are parallel because they both have the slope "2"
For a graph to be perpendicular, its slopes must be the reciprocal of each other, and the sign (positive/negative) is flipped
e.g., y = 2x and y = -1/2x + 1 are parallel because their slopes are reciprocals to each other, and the sign is flipped.
To know whether y = 4x + 3 and 4x + y = 3 are parallel, perpendicular, or neither, we have to identify the slopes and use what was mentioned previously:
Identifying the slope:
y = 4x + 3 slope = 4
4x + y = 3 --> y = -4x + 3 slope = -4
The slopes are different, so they are not parallel
As the slopes are not reciprocals, they are not perpendicular.
The graphs are neither parallel nor perpendicular.
What is the length of the missing side?
Answer:
4 Feet
Step-by-step explanation: Cut the rectangle in half and you get squares and half of eight is and they'd all have equal sides of 4
For 3 and 4, find the measure of each missing angle.
To find the missing angles, we have to use the fact that the sum of the angles of a triangle is 180°. So, we add up the known angles, and then subtract the sum from 180°. For problem 3:Let x be the measure of the missing angle at the bottom right corner of the triangle.
We know that the other two angles are 65° and 43°.Therefore,x + 65° + 43° = 180°x + 108° = 180°x = 72°So the measure of the missing angle is 72°.For problem 4:Let y be the measure of the missing angle at the bottom left corner of the triangle. We know that the other two angles are 70° and 50°.Therefore,y + 70° + 50° = 180°y + 120° = 180°y = 60°So the measure of the missing angle is 60°.Hence, the measures of the missing angles for problems 3 and 4 are 72° and 60°, respectively.
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an overnight express company must include eleven cities on its route. how many different routes are possible, assuming that it does matter in which order the cities are included in the routing?
Assuming that the order of the cities matters, the number of possible routes is 11! (11 factorial), which is 39916800.
The number of possible routes for an overnight express company that includes eleven cities on its route is 39916800. This is because when the order of the cities matters, the number of possible routes can be calculated by finding 11 factorial, which is:
11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.This calculation results in 39916800, which means that there are 39916800 potential routes for an overnight express company with eleven cities on its route.
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determine whether the function is a linear transformation. t: p2 → p2, t(a0 a1x a2x2) = (a0 a1 a2) (a1 a2)x a2x2
The functiοn t satisfies bοth the additivity and hοmοgeneity cοnditiοns, it is indeed a linear transfοrmatiοn frοm P₂ tο P₂.
What is Linear Transformation?A linear transfοrmatiοn is a functiοn that preserves the basic structure οf vectοr spaces. It maps vectοrs frοm οne vectοr space tο anοther while respecting the οperatiοns οf vectοr additiοn and scalar multiplicatiοn.
Tο determine whether the functiοn t: P₂ → P₂ is a linear transfοrmatiοn, we need tο check if it satisfies the prοperties οf linearity.
Let's cοnsider a pοlynοmial p(x) = a₀ + a₁x + a₂x² in P₂, where a₀, a₁, and a₂ are cοnstants.
The functiοn t takes the pοlynοmial p(x) and maps it tο anοther pοlynοmial q(x) = (a₀ a₁ a₂) (a₁ a₂)x a₂x².
Fοr t tο be a linear transfοrmatiοn, it needs tο satisfy twο cοnditiοns:
Additivity: t(u + v) = t(u) + t(v)
Hοmοgeneity: t(cu) = c * t(u)
Let's check these cοnditiοns:
Additivity:
t(p(x) + q(x)) = t(a₀ + a₁x + a₂x² + b₀ + b₁x + b₂x²)
= t((a₀ + b₀) + (a₁ + b₁)x + (a₂ + b₂)x²)
= ((a₀ + b₀) (a₁ + b₁) (a₂ + b₂)) ((a₁ + b₁) (a₂ + b₂))x ((a₂ + b₂)x²)
= (a₀ a₁ a₂) (a₁ a₂)x a₂x² + (b₀ b₁ b₂) (b₁ b₂)x b₂x²
= t(a₀ + a₁x + a₂x²) + t(b₀ + b₁x + b₂x²)
= t(p(x)) + t(q(x))
The functiοn t satisfies the additivity cοnditiοn.
Hοmοgeneity:
t(c * p(x)) = t(c * (a₀ + a₁x + a₂x²))
= t(c * a₀ + c * a₁x + c * a₂x²)
= (c * a₀ c * a₁ c * a₂) (c * a₁ c * a₂)x (c * a₂)x²
= c * (a₀ a₁ a₂) (a₁ a₂)x a₂x²
= c * t(p(x))
The functiοn t satisfies the hοmοgeneity cοnditiοn.
Since the functiοn t satisfies bοth the additivity and hοmοgeneity cοnditiοns, it is indeed a linear transfοrmatiοn frοm P₂ tο P₂.
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When reaching mile marker 4 on the trail, Susan uses her GPS to find that her current elevation is 6135 feet. If she follows the trail until its end at mile marker 9, her elevation will be 8290 feet. What is the average change in elevation of Susan's position from mile marker 4 to mile marker 9, in feet per mile marker?
Answer:
Change in elevation= 431 feet/mile marker
Step-by-step explanation:
given data
Elevation at mile marker 4 = 6135 feet
Elevation at mile marker9 = 8290 feet
to find out
average change in elevation
solution
we get here average change in feet per mile marker that is express as
average change in feet per mile = change in elevation ÷ change in mile marker .....................1
put hree value we get
average change in feet per mile = \(\frac{8290-6135}{9-4}\)
average change in feet per mile = 431 feet/mile marker
so
Change in elevation= 431 feet/mile marker
A 19,000 car has been reduced inpri by 4%. what is the new price of the car
The new price of the car after the 4% reduction is $18,240
What is the new price of the car?Percentage is simply number or ratio expressed as a fraction of 100.
Given that,
Initial price of the car = $19,000Percentage of reduction = 4%New price of the car = ?To determine the new price of the car after reduction;
New price = Initial price × ( 100% - 4% )
New price = Initial price × ( 96% )
Note that 96% is the same as 96/100
New price = $19,000 × 96/100
New price = $19,000 × 0.96
Multiply $19,000 and 0.96
New price = $18,240
Therefore, the new price is $18,240.
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vector v is 448 M long and a 224 direction. Ha W is 336 M long in a 75.9 directions find the magnitude of their Vector sum
The magnitude of the sum of vectors is 240.8 M
How to find the magnitude of the vector sum?We know that vector V has a magnitude of 448 meters and a direction of 224°, then the components are:
x-component = 448m*cos(224°) = -322.3my-component = 448m*sin(224°) = -311.2 mThe other vector W has a magnitude of 336 meters and a direction of 75.9°, then the components are:
x-component = 336m*cos(75.9°) = 81.9my-component = 336m*sin(75.9°)= 325.9mNow if we add these two vectors, the coordinates of the sum are:
< -322.3m + 81.9m, -311.2 m + 325.9m> = <-240.4 , 14.7>
Then the magnitude is:
M = √( (-240.4)^2 + ( 14.7)^2) = 240.8
The magnitude of the sum of vectors is 240.8 M
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the 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). what is the margin of error of this confidence interval?
The margin of error of the 98.4% confidence interval for snapdragons is 3.71.
The midpoint of the range is calculated by adding the upper and lower bounds and then dividing by two. So, the sample mean is `(20.91 + 38.43) / 2 = 29.67`.
The margin of error is calculated by multiplying the critical value of z* (1.96 for a 98.4% confidence level) by the standard error of the mean. The formula for calculating the margin of error is:
`Margin of error z*(standard deviation/√n`).
The formula is `range/4 = 1.96 * standard deviation/√n`.Now, solve for the standard deviation:
`standard deviation = (range/4) * √n / 1.96`
Substituting the values: `(38.43 - 20.91)/4 = 1.96 * standard deviation/√n`
Simplifying the equation: `4.26 = (1.96*standard deviation)/√n`
Squaring both sides: `4.26^2 = 3.8416 = (1.96^2 * standard deviation^2)/n`
Substituting the value of the standard deviation: `3.8416 = (1.96^2 * ((38.43 - 20.91)/4)^2) / n`
Solving for n: `n = ((1.96^2 * ((38.43 - 20.91)/4)^2) / 3.8416) = 31.54`
Now that we know the sample size, we can calculate the standard error of the mean:
`standard error = standard deviation/√n = ((38.43 - 20.91)/4)/√31.54 = 1.89`.
The margin of error is `1.96 * 1.89 = 3.71`.
The 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). The margin of error of this confidence interval is 3.71.
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at a restaurant 60% of customers typically order a salad with their meal. what is the experimental probability the next 4 customers wil order a salad
The experimental probability the next 4 customers will order a salad is 12.96%
The experimental probability of the next 4 customers ordering a salad can be calculated by multiplying the individual probabilities of each customer ordering a salad.
Given that 60% of customers typically order a salad, the probability of a customer ordering a salad is 0.6, or 60% expressed as a decimal.
To find the probability of all 4 customers ordering a salad, we multiply the probabilities together:
P(4 customers ordering a salad) = 0.6 * 0.6 * 0.6 * 0.6 = 0.6^4 = 0.1296
Therefore, the experimental probability of the next 4 customers ordering a salad is 0.1296, or 12.96% expressed as a percentage.
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HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?
Answer:
5x+4
Step-by-step explanation:
Solve For x in terms of a y and z.
3xy - z = 2z + 5
Answer
x= z/y + 5/3y
Step-by-step explanation:
Probabilities. Please help
In throwing a dice, there are 6 possible outcomes, namely 1, 2, 3, 4, 5 and 6.
P=(no. of favourable outcomes)/(no. of possible outcomes)
When we multiply the probability of an event with no. of trials, the we get the expected frequency of that event.
1) P(getting 1)=1/6
expected frequency of getting 1
=P(getting)1)×no. of trials
=1/6×600=100
But it is given that one is scored 200 times, so it makes a large difference from expected frequency, which is 100.
Therefore, the dice is not fair.
2) P(getting a tail)=0.3
estimate for the number of times the coin will land on a tail
=expected frequency of getting a tail
=P(getting a tail)×no. of trials
=0.3×150=45
3)P(getting a six)=2/3
expected frequency of getting a six
=P(getting a six)×no. of trials
=2/3×300=200
4)P(getting a three)=0.5
expected frequency of getting a three
=P(getting a three)×350
=0.5×350=175