Answer:
14 5+9=14
Step-by-step explanation:
Find the distance between Georgetown and clayton on a map with a scale of 1 in: 14 mi if they are actually 28 mi apart.
The distance between Georgetown and clayton on the scale model is 2 inches.
What is scale?In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.
The distance between Georgetown and clayton on a map with a scale of 1 inches: 14 miles can be found as follows;
They are actually 28 miles.
Therefore,
14 miles = 1 inches
28 miles = ?
cross multiply
distance between Georgetown and clayton on the scale model = 28 / 14
distance between Georgetown and clayton on the scale model = 2 inches
Therefore, the distance on the scale model is 2 inches.
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Please help. Will award brainliest
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
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Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2−−−−−−−−−−−−−−−−−−√
Find the distance when y2=9, y1=13, x2=4,
and x1=0
.
A. 5.66
B. 5.36
C. 4.12
D. 6.95
The distance between the two points is approximately 5.66 units
A. 5.66How to find the distanceUsing the formula for the distance between two points on a coordinate plane:
Distance = √[(y2 - y1)^2 + (x2 - x1)^2]
We can plug in the given values into the distance formula:
given that
y2 = 9, y1 = 13, x2 = 4, and x1 = 0
= √[(9 - 13)^2 + (4 - 0)^2]
= √[(-4)^2 + (4)^2]
= √(16 + 16)
= √32
= 4√2
= 5.6569
= 5.66
Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.
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In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
Solve the inequality below for z . 5 − 8 ≥ z + 4
Answer:
\(5 - 8 \geqslant z + 4 \\ - 3 \geqslant z + 4 \\ - 3 - 4 \geqslant z \\ \boxed{z \leqslant - 7}\)
What is the solution to the equation below?
7/8 (x - 1/2) = -49/80
a
1/5
b
6/5
c
-6/5
d
-1/5
Answer:
hence the value of x is -⅕
the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little
Solve question 1 for me pls
Answer:15x +21
Step-by-step explanation: You get this by adding both of the sides together since you are trying to find the total
What is the solution set for the inequality 3(5- x)<5x-17
Answer:
The answer is : x>4
Step-by-step explanation:
3(5-x)<5x-17
15-3x<5x-17
-3x-5x<-17-15
-(3x+5x)<-(17+15)
3x+5x>17+15
8x>32
x>\(\frac{32}{8}\)
x>4
Select the correct answer. Simplify the following expression. x-2/3 times x 6/7
Answer:
4/7
Step-by-step explanation:
Answer: Correct Answer is X 4/21
Step-by-step explanation: I got it right
A typist type 1800 words in 1 hour. find the number of words she can type per minute.
Answer:
1800/60=30
Step-by-step explanation:
Answer:
the first answer is correct
A line contains the points A, B, C, and D. Point B is
between points A and C. Point D is between points C
and B. Which of the following inequalities must be true
about the lengths of these segments?
F. BC < AB
G. BD < AB
H. BD < CD
J. CD < AB
K. CD
Answer:
a
Step-by-step explanation:
aa
Use inductive reasoning to predict the most probable next number in the list.
8, 15, 1, 8, −6, 1, −13, −6, −20, ?
Answer:
-13
Step-by-step explanation:
the pattern goes +7 - 14, so -20 + 7 = 13
Which expression is equivalent to x^-5/3
Answer:
b
Step-by-step explanation:
\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)
So the root is 3 and the power is 5
finally your answer
\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)
Can anybody better explain how to do this please
Answer:
The first one is 24, the secind one is 4 and the last one is 10
Answer:
basically if the number on top is bigger than in On bottom (improper fraction) then swtch them and slove
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
The unit circle below shows 100∘ and -100∘. Find the values below, rounded to three decimal places if necessary.
Answer:
sin(100°) = 0.985
sin(-100°) = -0.985
Step-by-step explanation:
In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).
Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:
\(\boxed{\sin(100^{\circ}) = 0.985}\)
Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:
\(\boxed{\sin(-100^{\circ}) = -0.985}\)
In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
What is the value of sine of the angles?The value of the sine of the angles is calculated by applying the following formula as follows;
The value of sin (100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.
sin (100) = 0.985
The value of sin (-100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.
sin (-100) = -0.985
Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
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A rectangular garden is 8 ft longer than it is wide. Its area is 425 ft2. What are its dimensions?
Answer:
17 ft.
Step-by-step explanation:
Because 17x25=425
And 25-8=17
Select all of the expressions that are equal to 6.
l6l
-l-6l
-l6l
l-21 × l3l
l-6l
10-6l
Expressions would be, l-21 × l3l = 6 and l-6l = 6
What is Expressions?
In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Equations and expressions are often used in higher levels of mathematics and can require special calculations to solve graphical problems and geometric figures. Sometimes they are used in explanations of lines, cartoons, and diagrams. They also have their place in computer software and used for developing animations.
Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence.
The expressions that are equal to 6 are:
l-21 × l3l = 6
l-6l = 6
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Dada la circunferencia de ecuación x 2 +y 2 -2x+4y-4=0, hallar el centro y el radio.
La forma estándar de una ecuación de un círculo es% 28x-h% 29% 5E2 +% 2B +% 28y-k% 29% 5E2 + = + r% 5E2
donde Pt (h, k) es el centro y r es el radio
x ^ 2 + y ^ 2-10x + 4y + 4 = 0
completando los cuadrados para ponerlos en la forma estándar
x ^ 2 -10x + y ^ 2 + 4y + 4 = 0
(x-5) ^ 2-25 + (y +2) ^ 2-4 + 4 = 0
(x-5) ^ 2 + (y + 2) ^ 2 = 25
El centro es (5, -2) radio = 5
The radius, circumferance and Coordinates of center of the circle are 3, 6π and O(1, - 2) respectively.
What is the standard form of the equation of a circle? Differentiate between function, equation and expression. standard form : the equation of the circle into standard form as -(x - h)² + (y - k)² = r²
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation of a circle as -
x² + y² - 2x + 4y - 4 = 0
We need to change the equation of the circle into standard form as -
(x - h)² + (y - k)² = r²
The given equation is -
x² + y² - 2x + 4y - 4 = 0
We can write it as -
(x - 1) + (y + 2) = 9
So, the radius will be -
r² = 9
r = 3
The circumferance will be -
C = 2πR
C = 2π x 3
C = 6π
Coordinates of center -
O(1, - 2)
Therefore, the radius, circumferance and Coordinates of center of the circle are 3, 6π and O(1, - 2) respectively.
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{Question converted in english language is mentioned below -
Given the circumference of equation x² + y² - 2x + 4y - 4 = 0, find the center and the radius.}
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Have a GREAT day!!!
Which is the reciprocal of -13/7
Answer:
-7/13
Step-by-step explanation:
To find the reciprocal of a number, either divide the number by 1 or switch the numerator and denominator
valuate.
(3/8+3/4)−(1/3+1/6)
Enter your answer as a fraction in simplest form by filling in the boxes.
PLS HELP MEEEEEEEE
Answer:
Step-by-step explanation:
9/8-3/6= 5/8
Answer:
\( \frac{5}{8} \)
2) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
This diagram shows a pre-image △ABC and its image, △A′′B′′C′′ , after a series of transformations.
Select from the drop-down menus to correctly complete the statements.
△ABC is
1. reflected across the y-axis.
2. rotated 90 degrees counterclockwise about the origin.
3. translated 4 units right
to become △A′B′C′. Then △A′B′C′ is
1. reflected across the x-axis.
2. reflected across the line y = x
3. rotated 90 degrees counterclockwise about the origin
to become △A′′B′′C′′ . Because the transformations are
1. both rigid
2.not both rigid,
The pre-image and image are
1. congruent
2. not congruent
Using translation concepts, we have that:
△ABC is 3. translated 4 units right to become △A′B′C′. Then, △A′B′C′ is 3. rotated 90 degrees counterclockwise about the origin to become △A′′B′′C′′ .Because the transformations are both rigid, the pre-image and the image are congruent.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:
(x,y) -> (x + 4, y).
Hence it was translated 4 units right.
On the translation of △A′B′C′ to △A′′B′′C′', the rule is given by:
(x,y) -> (-y,x).
Hence it was rotated 90 degrees counterclockwise about the origin.
The triangle keeps the same size after the translations, hence:
Because the transformations are both rigid, the pre-image and the image are congruent.
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I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
Raj recorded the scores of six of his classmates in the table.
Math Scores
98
76
100
88
82
70
What is the range of their test scores?
Answer:
The lowest value in the data set is 70, and the highest is 100
70,76,82,88,98,100
Step-by-step explanation:
70-100 is 30. There ya go, have fun, stay safe, and make sure to smash me brainiest :D
Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice
Answer:
0.5 gallons
Step-by-step explanation:
Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...
0.25(2) +x = 0.40(2+x)
0.50 +x = 0.80 +0.40x . . . . eliminate parentheses
0.60x = 0.30 . . . . . . . . . . . . subtract 0.50+0.40x
x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60
Gayle should add 0.5 gallons of orange juice to make a 40% solution.