Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
To know more about trigonometry check:
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submit in simplest radical form :(
Answer:
x=5√3=8.6......
y=5
.....
A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Answer:
There are three intervals depending on the mileage:
0 - 15 miles15 - 75 milesMore than 75 milesFor each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.9515 < x ≤ 75 ⇒ y = 1.25x + 3.95x > 75 ⇒ y = 0.85x + 78.95Step-by-step explanation:0 - 15 miles
15 - 75 miles
More than 75 miles
For each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.95
15 < x ≤ 75 ⇒ y = 1.25x + 3.95
x > 75 ⇒ y = 0.85x + 78.95
Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.
Answer:
sOrRy BoW nEeD SoMe PoInTs Bow
Step-by-step explanation:
il find the distance bin the orgin
and the lone x = 4x-34=10
Answer:
11 units from the origin
Step-by-step explanation:
When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.
The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
1.36
1.70
2.50
0.45
1.18
0.64
3.46
0.57
2.00
0.80
1.60
0.98
0.36
2.24
4.35
0.62
2.70
1.78
1.53
0.84
Required:
a. Compute the population mean and population standard deviation for the regional cigarette taxes.
b. The population standard deviation is σ=_______
c. Interpret the parameters in​ (a).
1. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
2. The population mean is the most common regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
3. The population standard deviation is the average amount of regional cigarette tax. The population mean represents the amount of spread in the regional cigarette tax around the standard deviation.
4. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the mean.
Answer:
(a) [tex]\bar x= 1.583[/tex] -- Population Mean
(b) [tex]s = 1.032[/tex] --- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]
[tex]\sum x = 31.66[/tex]
[tex]n = 20[/tex]
So, we have:
[tex]\bar x= \frac{31.66}{20}[/tex]
[tex]\bar x= 1.583[/tex]
Solving (b): The population standard deviation
This is calculated as:
[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]
[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]
[tex]\sum (x -\bar x)^2 = 21.29222[/tex]
So:
[tex]s = \sqrt{\frac{21.2922}{20}[/tex]
[tex]s = \sqrt{1.06461}[/tex]
[tex]s = 1.032[/tex]
Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?
Answer:
Step-by-step explanation:
Answer: the answer is 6.25
Step-by-step explanation:
shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of that square. (remember that a square is defined by having its four equal sides) I need help please?
Answer:
The perimeter of this square will be 32 and the Area will be 64
Step-by-step explanation:
I posted a picture of how I got this
Hope this Helped
what is the slope between the points (14,1) and (6,-15)
The array below represents the temperatures (in degrees Fahrenheit) of certain points on theinterior and boundary of a metal plate:
30 30
15 T1 T2 45
15 T3 T4 45
60 60
Assume that the temperature at each point is theaverageof the temperatures at the four neighboring points(left, right, above, and below).Set up (do not solve)a system of four linear equations whose solution gives the four temperature T1,T2,T3, andT4. (Your linear equations should all be written instandard form, meaning a linear combination ofthe variables set equal to a constant.)
Answer:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]
Required
Set up 4 linear equations to solve for T1,T2,T3, andT4
From the question, we understand that each temperature is the average of the 4 surrounding temperatures.
So, we have:
For T1, the surrounding temperatures are: 30, 15, T3 and T2.
The average is:
[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]
[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]
Multiply through by 4
[tex]4T1 = 45 + T3 + T2[/tex]
Equate variables to constant
[tex]4T1 - T3 - T2= 45[/tex]
For T2, the surrounding temperatures are: T1, T4, 45 and 30.
The average is:
[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]
[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]
Multiply through by 4
[tex]4T2 = T1 + T4 + 75[/tex]
Equate variables to constant
[tex]4T2- T1 - T4 = 75[/tex]
For T3, the surrounding temperatures are: 60, 15, T1 and T4
The average is:
[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]
[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]
Multiply through by 4
[tex]4T3 = 75 + T1 + T4[/tex]
Equate variables to constant
[tex]4T3- T1 - T4 = 75[/tex]
For T4, the surrounding temperatures are: 60, 45, T2 and T3
The average is:
[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]
[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]
Multiply through by 4
[tex]4T4 = 105 + T2 + T3[/tex]
Equate variables to constant
[tex]4T4 - T2 - T3= 105[/tex]
So, the equations are:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Solve x for -2x- 1 = -7
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092
Answer:
12,922
Step-by-step explanation:
estimate = 16,092 * 803/1,000 = 12,922
On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.
AND
On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.
Help me find the hight explain
Answer:
h = 26cm
Step-by-step explanation:
V = (l w h)/3
so the volume of the first one is
20*12*13 /3= 1040
1040 = 12*10*h/3
3120 = 120h
h = 26
The answer is C. 23 cm
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7
Answer:
6, 3, 3 (B)
Step-by-step explanation:
Two sides of a triangle must be greater than the remaining side
A way to think about this is like this:
The two shortest sides of a triangle must be greater than the final side
Go through this process for each option and find the B does not work
1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply
Answer:
A polynomial is writen as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀
So we can only have positive integer exponents of x.
the coefficients "a" can be any real number.
Let's analyze the options:
1) Here we can see a term with "√x", remember that:
√x = (x)^(1/2)
This is not an integer exponent, then this is not a polynomial.
2) This is a polynomial.
3) Here we have the term "4/x"
This can be written as:
4/x = 4*x^(-1)
Then this is not a polynomial.
4) Here we have the term "5^x"
In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.
5) This is a polynomial.
6) Here we have the term " 2/x^2"
This can be written as:
2/x^2 = 2*x^(-2)
We have a negative exponent of x, then this is not a polynomial.
PLEASE HELP MEEEEEE I need help quickly
Answer:
60
Step-by-step explanation:
There are sixty students.
15% = 9
------------------
100% = x
Cross muliply.
900
------
15x
Divide 15x by 15, and 900 by 15.
Answer is 60.
I hope this helps!
Brainliest would be awesome!
Please help with this area assignment
Answer:
375
Step-by-step explanation:
15 times 25 equals 375
A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666
Answer:999
Step-by-step explanation:
0.03x999=29.97
29.97+10=39.97$
Answer:
39.97
Step-by-step explanation:
Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Answer:
99miles is more likely correct
or 114miles as knots is usually higher mileage
Step-by-step explanation:
70^2 + 70^2 = c^2
sqrt 4900 + sqrt 4900 = c^2
sq rt 9800 = c^2 = 98.9949494
99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph
70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
Find the Area of the triangle
6.3 yd
3.4 yd
aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2
Answer:
a:b = 100:1
Step-by-step explanation:
Given:
a is 100% more than b
Find:
a:b
Computation:
Assume;
Common multiply = p
So,
b = p
a = 100P
a:b = 100p : p
a:b = 100:1
Write the phrase "the sum of a number and twenty-three less than that number" as a mathematical expression.
A) x + 23
B) x ⋅ 23
C) x – 23
D) x + (x – 23)
Answer:
D
Step-by-step explanation:
The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)
I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps
Answer:
D
Step-by-step explanation:
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary:
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Find set A' n B'
U= {1, 2, 3, 4, 5, 6, 7}
A= {4, 5, 6, 7}
B = {3, 4, 7}
Answer:
its 1 and 2
Step-by-step explanation:
first find A' which is(1,2,3) since these are in the universal set but not in A.
similary B' which is (1,2,5,6)
and since (1,2) are both in A' and B' set A'nB'=(1,2)
Answer:
Step-by-step explanation:
U={1,2,3,4,5,6,7}
A={4,5,6,7}
B={3,4,7}
A'={1,2,3}
B'={1,2,5,6}
A'∩B'={1,2}
‼️ANSWER QUICKLY THIS IS A TIMED TEST ‼️The community garden in your neighborhood has three
different types of vegetable plants: peppers, tomatoes, and
cucumbers. The ratio of the number of peppers to tomatoes
to cucumbers is 1:5:3. If there are 48 cucumber plants in the
garden, how many total vegetable plants are there in the
garden?
I NEED HELP NOWWWWW pls
Classify the polynomial according to its degree and number of terms 8x.
quadratic binomial
seventh-degree binomial
seventh-degree monomial
linear monomial
Answer:
Linear monomial
Step-by-step explanation:
As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.
So it is a linear monomial.