Answer:
15√2 (fourth answer choice)
Step-by-step explanation:
Note that the ratio 15/x is the tangent of 30 degrees, which in turn is 0.577 or 1/√2. Then:
1/√2 = 15/x, or
1 5
----- = ----- or x = 15√2
√2 x
Answer:
15√3.
Step-by-step explanation:
This is a 30-60-90 right triangle.
The sides are in the ratio 2:1:√3 where 2 is the hypotenuse, side of length 1 is opposite 30 degree angle and side √3 is opposite the 60 degree angle.
So as the side opposite the 30 degree angle = 15,
x = 15 * √3
= 15√3.
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. No, because yis not increasing at a constant rat
B. Yes, because as xincreases, yincreases
C. Yes, because all of the pairs
D. No, because only one of the pairs is a simplified ratio.
he sme ratio.
How to find the discount
The diameter of a circle is 12 inches. What is the radius?
d=12 in
Give the exact answer in simplest form.
inches
Answer:
aaaaaa
Step-by-step explanation:
12*12
Answer:
6 in
Step-by-step explanation:
The radius is half the diameter. If the diameter here is 12 in, then the radius must be 6 in
Can someone please help me out??
Answer:
what does it say
Step-by-step explanation:
Answer:
x = 2/3
Step-by-step explanation:
Since the two bottom angles add up to be congruent to the top angle, this is true:
5x - 8 + 28 = 11x + 16
Solve
20 = 6x + 16
4 = 6x
x = 2/3
Willy used 4,082 gallons of water over the last two months. The Water District sends a bill every two months. It has a fixed fee of $30.00 every two months, plus a variable fee based on how much water you used. The variable rate is 1.5 cents per gallon.
What was Willy's total bill?
A) $60.00
B) $61.23
C) $91.23
D)$20.00
The correct answer to the question "What is Willy's water bill for the last two months?" would be option B) $61.23, as this represents only the variable fee for the amount of water used.
To calculate Willy's water bill, we need to add the fixed fee of $30.00 to the variable fee based on how much water he used. We know that he used 4,082 gallons of water over the last two months, and the variable rate is 1.5 cents per gallon.
To find the variable fee, we can multiply the number of gallons used by the rate:
4,082 gallons x 0.015 dollars/gallon = $61.23
So Willy's total water bill for the last two months would be the fixed fee plus the variable fee:
$30.00 + $61.23 = $91.23
Option D) $20.00 is not the correct answer as it is only the fixed fee and does not take into account the variable fee based on the amount of water used.
To learn more about : water bill
https://brainly.com/question/24738207
#SPJ11
QUESTION A6 (5 marks) An article studied the relation between the number of accidents, y, and the difference between the width of the bridge and roadway, x, (in feet) in a city. The author had developed its regression equation, y = 74.7 -6.44x. (a) State the dependent and independent variables for the above problem. (2 marks) (b) Estimate the number of accidents occurred if the difference of the width is 8 feet. (3 marks)
(a) The dependent variable is the number of accidents (y) and the independent variable is the difference between the width of the bridge and roadway in feet (x). (b) If the difference in width is 8 feet, the estimated number of accidents is approximately 23.18 (rounding as needed).
1: Identify the variables.
y = number of accidents (dependent variable)
x = difference between the width of the bridge and roadway in feet (independent variable)
(a) In the regression equation y = 74.7 - 6.44x, the dependent variable is y (number of accidents) and the independent variable is x (difference between the width of the bridge and roadway in feet).
2: Estimate the number of accidents for x = 8.
(b) To estimate the number of accidents when the difference of the width is 8 feet, substitute x = 8 into the regression equation: y = 74.7 - 6.44(8).
y = 74.7 - 6.44(8)
y = 74.7 - 51.52
y = 23.18
To know more about regression equation visit:
https://brainly.com/question/30738733
#SPJ11
what is the square root of 400 and how do you know?
Answer:
The square root of 400 is represented by √400, where ‘√’ represents a radical and a radicand represents its value. It is rational to multiply 400 by 20, which is 20. Simple prime factorization or long division can be used to find the square root. Taking the square root of 400, we get √400 = ±20
Step-by-step explanation:
what does a (b-c) =
im new to alegebra and i need serious help :/
Answer:
ab-ac
Step-by-step explanation:
If you distribute the a to both of the numbers, the above is the answer
\(a*b+a*-c\\ab-ac\)
a dragster accelerates from rest to 135 mph in 9 seconds. calculate the dragsters rate of acceleration
Which of these could have a capacity of about 100 milliliter? A regular size water bottle b. A medium sized pressure cooker c. A teaspoon d. A very small bow (katori)
Firstly we will look into the conversion of units. Based on the known fact, 1 litre is 1000 millilitres. So, 100 millilitres will be 0.1 litres.
Now, we see that pressure cookers generally begins with the capacity of 1 litres.
Teaspoon holds very small capacity of around 2.5 to 7.3 millilitres.
The capacity of very small bowls is around 200 mililitres.
We generally see the regular size water bottles are available in numerous sizes. The capacity is around 100 mililitres. Moreover, the water bottles are also available with capacity of 500 mililitres, 750 mililitres, 1000 mililitres, 1500 mililitres and other volumes.
Learn more about volumes -
https://brainly.com/question/22716418
#SPJ4
Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $250, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to the objective value. The optimum solution is: Number of trucks to be produced per day = ___________
The one-line answer statement for the optimum solution regarding the number of trucks to be produced per day by Green Vehicle Inc. is: Number of trucks to be produced per day = Any positive value or infinity.
To determine the optimum solution for the number of trucks to be produced per day by Green Vehicle Inc., we need to consider the objective function and maximize the objective value.
Let's denote the number of trucks to be produced per day as "x". Since it takes 1/25 of a day to paint a truck and 1/45 of a day to assemble a truck, the total time required to process "x" trucks in the paint shop and assembly shop would be (1/25)x and (1/45)x, respectively.
The profit per truck for a T1 truck is $300. Therefore, the total profit from the production of "x" trucks can be calculated as 300x.
To maximize the objective value, we need to maximize the total profit. Hence, the objective function would be:
Objective function: Total Profit = 300x
Now, to find the optimum solution, we need to consider any constraints or limitations provided in the problem statement. If there are no constraints or limitations on the production capacity, we can produce an unlimited number of trucks.
To know more about number,
https://brainly.com/question/15843321
#SPJ11
Spring Airlines Flight 123 is currently flying at a height of 45,000 feet and will descend at a rate of 700 feet per minute. At the same time, Summer Airlines Flight 789 is taking off from ground level and will ascend at a rate of 1,200 feet per minute. Which equation can be used to find m, the number of minutes it will take for the two planes to be at the same height?
Answer:
23.68421052632 minutes
Step-by-step explanation:
Given that :
Spring airlines :
Current height = 45,000
Rate of descent = 700 ft per minute ; represent descent rate as negative
Summer airlines :
Current position = ground level = 0
Rate of ascent = 1200 ft per minute
Number of minute it will. Take for the 2 planes to be at the same height :
Height * descent rate = height * ascent rate
45000 + (-700)m = 0 + 1200m
45000 - 700m = 0 + 1200m
-700m - 1200m = 0 - 45000
-1900m = - 45000
m = 45000 / 1900
m = 23.68421052632 minutes
Hence the two planes will be at the same height after 23.68421052632 minutes
What is the value of X?
3
4
6
8
Answer:
The answer is 4
Step-by-step explanation:
Determine the equation of the circle with radius \(111\) and center (9,5)
The equation of the circle with a radius of 111 and a center at (9, 5) is:
To determine the equation of a circle, we use the standard form equation:
\((x - h)^2 + (y - k)^2 = r^2\)
Where (h, k) represents the center coordinates of the circle, and r represents the radius.
In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:
(x - 9)^2 + (y - 5)^2 = 111^2
Expanding and simplifying further:
\((x - 9)^2 + (y - 5)^2 = 12321\)
Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:
(x - 9)^2 + (y - 5)^2 = 12321
This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.
To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.
It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.
for more such question on circle visit
https://brainly.com/question/28162977
#SPJ8
convert improper fractions to mixed number 7/5
The mixed fraction of the given improper fraction is \(1\frac{2}{5}\).
According to the question,
We have the following improper fraction:
7/5
Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.
(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.
So, we will divide 7 by 5:
\(1\frac{2}{5}\)
Hence, the mixed fraction of 7/5 is \(1\frac{2}{5}\).
To know more about mixed fraction here
https://brainly.com/question/2753661
#SPJ1
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
calculate the length of AD give your answer to three signifcant figures
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Question:
Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable
Answer:
Erica:
\(0 \leq |x - y| < 10\)
Nita:
\(10 < |x - y| \leq 20\)
Step-by-step explanation:
Given
Players: Erica & Nita
Range: 0 to 20
Represent Erica with x and Nita with y
For Erica to win;
The difference between x and y must be less than 10 but greater than or equal to 0
i.e.
\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)
These two expressions can be merged together to be:
\(0 \leq |x - y| < 10\)
For Nita to win;
The difference between x and y must be greater than 10 but less than or equal to 20
i.e.
\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)
These two expressions can be merged together to be:
\(10 < |x - y| \leq 20\)
Plz help me I really need help
Answer:
it 2 parts away
Step-by-step explanation:
Answer:
(0,0) (20, 10) (40,10) (60,40) (100,0)
A B C D E
Step-by-step explanation:
bonjour , pouvez vous m’aidez en maths ? merciii
Bonjour !
linéaires :
les fonctions g, k, l, n
g : x k : x l : x n : x
0,2 -2/7 1,8 -1
Giving 95 points! Which problem could you write for 6×3 ? Wrong answers will be reported!
A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?
B) Juan has 6 markers. He puts the markers in 3 groups. How many are in each group?
C) Juan has 6 markers. He gives 3 markers to his sister. How many markers does Juan have left?
D) Juan has 6 more markers than his brother. His brother has 3 markers. How many markers does Juan have?
Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?
Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?
PLS HELP I REALLY NEED IT
Answer:
A.)
Step-by-step explanation:
5.7^2+3.2^2=42.73
Sqrt of 42.73=6.5
Given :
Length of leg in a triangle = 3.2 cm
Length of leg of another triangle = 5.7 cm
We know that :
\(\color{hotpink}\tt {hypotenuse}^{2} \color{plum} = {base}^{2} + {height}^{2} \)
Which means :
\( = \tt {3.2}^{2} + {5.7}^{2} = {h}^{2} \)
\( =\tt 42.73 = {h}^{2} \)
\( =\tt \sqrt{42.73} = h\)
\(\hookrightarrow\color{plum} \tt6.5 \: cm= hypotenuse\)
Thus, the hypotenuse of this triangle = 6.5 cm
Therefore, the correct option is (A) 6.5 cm
Ok help me I will give you Brainly
Answer:
D
Step-by-step explanation:
Positive integers $a$, $b$, and $c$ are randomly and independently selected with replacement from the set $\{1, 2, 3, \dots, 2010\}$. What is the probability that $abc ab a$ is divisible by 3
The probability that abc ab a is divisible by 3 is 13/27.
We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.
If 3|a, we are done. There is a probability of 1/3 that that happens.
Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2 mod{3}. So either
b = 1 mod (3) c = 1 mod (3)
or
b = 2 mod (3) c = 0 mod (3)
Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.
Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.
The grand total is
1/3 + 4/27 = 13/27
Learn more about probability here: https://brainly.com/question/24756209
#SPJ4
imagine that a researcher is interested in whether residents in his local area have higher levels of well-being than the national average. what would be an appropriate alternate hypothesis for a one-tailed or directional z-test for this test? group of answer choices
The alternate hypothesis for the directional z-test is:
Local resident's average > National average
A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.
One of the ideas put out in the hypothesis test is the alternate hypothesis.
A researcher wants to know if people in his neighborhood have a better well-being than people nationwide.
The appropriate hypothesis for a one-tailed or directional z test for the test will be that the average local residents are higher than the national average.
Learn more about hypothesis here:
brainly.com/question/606806
#SPJ4
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 6% each year. In 2005, about $410 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2017? About $ billion will be spent at restaurants in 2017 if the trend continues
About $786 billion will be spent at restaurants in 2017 if the trend continues.
To solve this problemWe can use the formula for compound interest:
A = P(1 + r)^n
where:
A is the final amount
P is the initial amount
r is the annual interest rate
n is the number of years
In this instance, we're looking to determine how much will be spent at restaurants in 2017, which is 12 years from now, in 2005. The initial amount was $410 billion in 2005, and the yearly interest rate is 6%. We thus have:
A = 410(1 + 0.06)^12
A ≈ 786.34
Therefore, about $786 billion will be spent at restaurants in 2017 if the trend continues.
Learn more about compound interest here : brainly.com/question/2455673
#SPJ1
ANSWER ASAP FOR BRAINLIEST!!!!
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2 f(x) = −x2 + 4x + 1
A Function 1 has the larger maximum at (4, 1).
B Function 1 has the larger maximum at (1, 4).
C Function 2 has the larger maximum at (2, 5).
D Function 2 has the larger maximum at (3, 2).
Function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
Given the first function is,
Function 1: f(x) = x² + 8x - 15
Differentiating the function with respect to 'x' we get,
f'(x) = 2x + 8
f''(x) = 2
Now, f'(x) = 0 gives
2x + 8 = 0
2x = -8
x = -8/2
x = -4
At x = -4 the value of f''(-4) = 2 > 0
So there is minimum at x = -4.
Second function is:
Function 2: f(x) = -x² + 4x + 1
Differentiating the function with respect to 'x' we get,
f'(x) = -2x + 4
f''(x) = -2
Now, f'(x) = 0 gives
-2x + 4 = 0
2x = 4
x = 4/2
x = 2
At x =2 the value of f''(2) = -2 < 0
So at x = 2 the function has maximum value.
max f(x) = f(2) = - 2² + 4*2 + 1 = - 4 + 8 + 1 = 5
So function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
To know more about functions here
https://brainly.com/question/28376218
#SPJ1
Please help me get a 100%!
Answer: D) there are no solutions.
Step-by-step explanation:
Tim buys a torch and a battery
The torch costs eleven times as much as the battery
Tim pays with a £10 note and gets £4.84 change
How much does this battery cost
Answer: https://brainly.com/question/10946691
Step-by-step explanation:
This link which is the image will help
What is the equation of the line through (−2, −2) and (4, −5)
a. y = 1/2x – 1
b. y = –1/2x – 3
c. y = 2x + 2
d. y = –2x – 6