Answer:
3/2
Step-by-step explanation:
Write out the following:
5 1
----------- = --------- = 3/2
5 1/3 2/3
3 1/3 = 10/3
5/1 : 10/3 = 5/1 x 3/10 => 15/10 = 3/2
Answer = 3/2
A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its fi nal height is 6 feet.
The angle of elevation of the ramp is 28.6 degrees.
If the ramp's final height is 6 feet, calculate the ramp's angle of elevation to the nearest tenth of a degree.The angle of elevation of the ramp is the angle formed by the ramp to the horizontal ground.It is also known as the angle of inclination. To find the angle, the following equation is used:Tan = (Change in Height) / (Length of Ramp)
Therefore, using the given information, the angle of elevation of the 23-foot ramp is:
Tan = (6 feet) / (23 feet)
Tan = 0.26
= 14.5° (to the nearest tenth of a degree)
Therefore, the angle of elevation of the 23-foot ramp is 14.5°.
The angle of elevation of the 23-foot ramp is 15.7 degrees to the nearest tenth of a degree.This can be found using the equation for finding the angle of elevation of an incline, which is tan θ = rise/run.In this case, the rise is 6 feet (the final height of the ramp) and the run is 23 feet (the length of the ramp).Therefore, the equation becomes tan θ = 6/23, and the angle of elevation can be found by solving for θ.Using a calculator, this value turns out to be 15.7 degrees.To learn more about the angle of inclination refer to:
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A line passes through (8,9) and has a slope of 5/2
Answer:
y = 5/2x - 11
Step-by-step explanation:
y = 5/2x + b
9 = 5/2 (8) + b
9 = 20 + b
-11 = b
y = 5/2x - 11
An isometry preserves orientation.
True
False
find each value:
X=
Y=
GH=
GJ=
FE=
GE=
The values for figure is x = 2, y = 9,
GH = 8, GJ = 7,
FE = 3, GE = 7.
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides.
Given figure shows
GH parallel to EG
GH = EG
GH = 3y - 19
EG = 8
3y - 19 = 8
3y = 27
y = 9
GH = 3y - 19 = 3(9) - 19 = 8
and GJ parallel to JE
GJ = JE
GJ = 3x + 1
JE = 5x - 3
3x + 1 = 5x - 3
5x - 3x = 1 + 3
2x = 4
x = 2
values are,
GJ = 3x + 1 = 3(2) + 1 = 7
JE = 5x - 3 = 5(2) - 3 = 7
FE = 6x - y
substitute values,
x = 2, y = 9
FE = 6x - y = 6(2) - 9 = 12 - 9 = 3
Hence x = 2, y = 9
GH = 8, GJ = 7,
FE = 3, GE = 7.
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at the same time that a 60 foot tall buidling casts s shadow hat is 21.5 feet long a nearby tree casts a shadow that is 18 feet long, Which measure is closest to the height of the tree
The height of the tree is closest to 40 feet.
We can use the proportion of similar triangles to determine the height of the tree.
Let h be the height of the tree and s be the length of the shadow cast by the tree.
We know that the height of the building is 60 feet and the length of its shadow is 21.5 feet. So:
(h/s) = (60/21.5)
We also know that the length of the shadow cast by the tree is 18 feet.
So we can substitute that into the proportion and solve for h:
h = (60/21.5) * 18
h = (60*18)/21.5
h ≈ 40
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The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
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Is the interval 0 to infinity open?
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers
the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).
Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
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Hurry please!!! Fast response
Answer:
A.
[tex] SA= \frac{2}{3} \pi rl+16 \pi r^2[/tex]
Step-by-step explanation:
Surface area of the original cone
[tex] SA= \pi r l + \pi r^2... (1)[/tex]
When, radius is quadrupled and slant height is reduced to one sixth
[tex] i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l[/tex]
Plug the above values of r and [tex] l[/tex] in equation (1), new surface area becomes:
[tex] SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2[/tex]
[tex] SA= \frac{4}{6} \pi rl+16 \pi r^2[/tex]
[tex]\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}} [/tex]
Need help With answer
Answer:
Step-by-step explanation:
from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20
Write a multiplication expression using the following clues one factor is a two digit number between one and ten one factor is a two digit number between 1 and 10 but different from the first the product is greater than 8 but less than 10
first expression = 1×2, 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2 and second expression = 1×9
what is expression?In mathematics, an expression is a statement that represent the method of mathematical operation in a symbolic form. An expression is developed based on numerical terms or both numerical and variable terms along with operator or signs.
What is the multiplication expression stated in the question?it is stated that one factor is a two-digit number between one and ten.
the multiplication expression can be 1×2 , 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2
In the next, the multiplication expression for 2nd statement:
one factor is a two-digit number between one and ten and their product is greater than 8 and less than 10
1×9
the above is greater than 8 and less than 10.
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b. If 3:4 = x:24, Find the value of x.
Answer:
X= 18
Step-by-step explanation:
24/4=6 x 3= 18
Answer:
x=18
Step-by-step explanation:
3/4=x/24
3×24=4×x
72=4x
x=72/4
x=18
Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
Please answer both parts
8(x + 7)
Answer here _____________
Use Distribute Property to rewrite the algebraic expression.
6(11 + x)
Answer here ____________
The value of 8(x + 7) is 8x + 56.
The value of 6(11 + x) is 66 + 6x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
8 x (x + 7)
= 8 x (x) + 8 x 7
= 8x + 56
6 (11 + x)
= 6 x 11 + 6 x (x)
= 66 + 6x
Thus,
The value is 8x + 56 and 66 + 6x.
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The sunshine rental company rents cars for $17 per day plus $0. 50 per mile driven. The rent me company rents cars for $20 per day plus $0. 36 per mile driven. When will the two companies be equal in cost?
The two companies will be equal in cost when 21.428 miles are driven.
How do you calculate the cost of rent?
The weekly rental amount is divided by 7 to determine the daily rental rate, then multiplied by 365 (days per year) to determine the yearly rate, and finally divided by 12 to determine the monthly rental amount. For example, a property is advertised as $200 per week, ($200 divided by 7) is $28.57 for the daily rate.
We can set up an equation to represent the cost of renting a car from each company in terms of the number of miles driven, and then solve for the number of miles at which the cost is the same for both companies.
Let x be the number of miles driven.
The cost of renting from Sunshine Rental Company is given by:
Cost1 = 17 + 0.5x
The cost of renting from Rent Me company is given by:
Cost2 = 20 + 0.36x
We can set the two equations equal to each other, and solve for x:
17 + 0.5x = 20 + 0.36x
0.14x = 3
x = 21.428 miles
Hence, the two companies will be equal in cost when 21.428 miles are driven.
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What’s the slope of the line graphed below?
Answer:
slope = (3/2)
Step-by-step explanation:
point 1: (-1, 1); Point 2: (1, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 1 3 3
----------- = ------------ = --------- = -------
x₂ - x₁ 1 - (-1) 1 + 1 2
I hope this helps!
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5
A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month
Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work
Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer
Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing on the last day = $27 ($28 - $1)
Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
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PLEASE HELP ASAP!!!!
Answer:
Pick the yellow one. It's hard to read what's written but the yellow is the closest to what I would have written myself.
A scale drawing has a scale of 0.5 in =10 ft find the length
Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).
The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.
So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:
Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)
To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.
Once you have that measurement, you could then simply multiply it by 20.
Step-by-step explanation:
n^2-2n-3=0 complete the square method
Answer:
n = - 1 , n = 3
Step-by-step explanation:
n² - 2n - 3 = 0 ( add 3 to both sides )
n² - 2n = 3
to complete the square
add ( half the coefficient of the x- term)² to bpth sides
n² + 2(- 1)n + 1 = 3 + 1
(n - 1)² = 4 ( take square root of both sides )
n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )
n = 1 ± 2
Then
n = 1 - 2 = - 1
n = 1 + 2 = 3
Iris found a value of 1/64
when she evaluated an expression.
Which could have been the expression Iris evaluated? Check all that apply.
A.2-6
B.6-4
C.4-3
D.(one-half) Superscript negative 5
E.(one-fourth) Superscript negative 3
Answer:
A and C or 2-6 and 4-3
Step-by-step explanation:
find the zeroes of the polynomial and verify the relations between coefficient and zeroes
3x²-x-4
Answer:
(-1) & 4/3
Step-by-step explanation:
Polynomial:3x² - x - 4
Sum = -1
Product = 3*(-4) = -12
Factors = -4 and 3 { (-4)*3 = -12 & (-4) + 3 = -1}
3x² - x - 4 = 3x² + 3x - 4x -4 {Rewrite the middle term using the factors}
= 3x(x + 1) -4(x + 1)
=(x + 1)(3x - 4)
x + 1 = 0 ; 3x - 4 = 0
x = -1 ; 3x = 4
x = 4/3
[tex]\sf Zeroes \ of \ the \ polynomial \ are \ (-1) \ and \ \dfrac{4}{3}[/tex]
Verification:
[tex]\sf 3x^2 - x - 4 = 0\\\\Divide \ the \ entire \ equation \ by \ 3\\\\\\\dfrac{3x^2}{3}-\dfrac{x}{3}-\dfrac{4}{3}=0\\x^2 - \dfrac{x}{3}-\dfrac{4}{3}=0[/tex]
Coefficient of x = sum of the zeroes
[tex]\sf = -1 + \dfrac{4}{3}\\\\=\dfrac{-3}{3}+\dfrac{4}{3}\\\\=\dfrac{1}{3}\\\\[/tex]
Constant = product of the zeroes
[tex]\sf = (-1)*\dfrac{4}{3}\\\\=\dfrac{-4}{3}[/tex]
Thus verified.
help help help me please
Answer:
the answer is B
Step-by-step explanation:
Rashida keeps her collection of 96 books on three shelves
-there are 24 books on the first shelf
-there are x books on the second self
-the number of books on the third shelf is 3 times the number of books on the second shelf
what is the value of x the number of books on the second shelf
a 16
b 21
c 18
d 24
how to factor this polynomial : (x+3)-x(x^2+6x+9)
Answer:
u will multiply -x by the big bracket and rhen start cancelling and factor it by common numbers
Answer:
(x + 3)(- x² - 3x + 1)
Step-by-step explanation:
Given
(x + 3) - x(x² + 6x + 9) ← factor is a perfect square
= (x + 3) - x(x + 3)² ← factor out (x + 3) from each term
= (x + 3)(1 - x(x + 3))
= (x + 3)(1 - x² - 3x)
= (x + 3)(- x² - 3x + 1)
Casey charges $11 per hour to babysit infants and $9 per hour for toddlers. She babysat infants for 22 hours and toddlers for 18 hours. How much more does she need to earn to buy a $450 bike?
Answer:
46
Step-by-step explanation
11 x 22 and 9 x 18 then add them then do 450 - 404
You have $2500 and want it to grow to $3600 in 2 years , what compound interest rate (compounded annually ) do you need ?
Answer:
18.2%
Step-by-step explanation:
Given data
Principal= $2500
Final amount= $3600
Time = 2 years
Rate=???
The expression for the rate is given as
r= ln(A/P)/t
substitute
r= ln(2500/3600)/2
r= ln(0.6944)/2
r= -0.364/2
r= 0.182
Hence the rate is 18.2%
NEED HELP ASAPP 100 POINTSSS
Answer:
Statement 1) Corresponding angles
Statement 2) Congruent
Statement 3) 150 degrees
Statement 4) Vertical Angles
Statement 5) Congruent
Statement 6) 150 degrees
Statement 7) Alternate exterior angles
Statement 8) Congruent
Statement 9) Alternate Interior angles are congruent
Step-by-step explanation:
Explanation:
1) I've learned this before
2) Not all Corresponding angles are obtuse
3) Corresponding angles have the same measure
4) I've learned this before
5) Vertical Angles are congruent
6) Same reason as before
7) I've learned this before
8) Alternate Interior angles are congruent
9) I've learned this before
Please mark me the brainliest! Thank you!
Please please please help me I need it asap! Please!!
Point A, located at (-11, -7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C.
What are the coordinates of points B and C?
A: Point B: (-11, 7) Point C: (11, -7)
B: Point B: (11, -7) Point C: (11, 7)
C: Point B: (11, -7) Point C: (-11, 7)
D: Point B: (-11, 7) Point C: (11, 7)
Answer:
D) I’m 100% sure it’s correct!
Step-by-step explanation:
Is 4 a perfect square?
Answer:
ye
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
A perfect square is a number from a number system that can be shown as the square of the number in the given number system. 4 can be written as 2 x 2 Making 4 a perfect square. In other words, if a number can be multiplied by its self and equal the number you are trying to square, then it is a perfect square.
PLEASE HELP BETS ANSWER GETS CROWN THERE ARE 2 QUESTIONS
ANSWER LIKE THIS
Q1. ANSWER
Q2. ANSWER.
NO LINKS OR FILES PLEASEEEE. (btw this is my last one)
IM pretty sure its B.
Answer:
Q1 is Seth will have 10 more cards than Matt
Q2 is Chart B
Step-by-step explanation:
First let's find the equation of the lines and chart so we can extend the graph.
Seth's chart has the equation y = x × 4
Matt's graph has the equation y = x × 2 + 20
The extended graphs can be seen below in an attachment. If you want to make these graphs yourself, I suggest Desmos
So on week 15, Seth has 60 and Matt has 50
Find the difference by subtracting
60 - 50 = 10
The final answer is Seth will have 10 more cards than Matt
Question 2
A linear relationship is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
Now we need to find the equations of the lines and graph them.
I have found the equations of the line and graphed them which can be seen in an attachment below.
We need to find the that follows the correct equation y = mx + b.
This would be answer B.
Hope this helps!!