The percentage of dress was sold for 62% of its original price.
To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:
Percentage Change = (Change in Value / Original Value) × 100
In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):
Original Value = $200
Sale Price = $76
Change in Value = Original Value - Sale Price
Change in Value = $200 - $76
Change in Value = $124
Now we can plug these values into the percentage change formula:
Percentage Change = (Change in Value / Original Value) ×100
Percentage Change = ($124 / $200) × 100
Percentage Change = 0.62× 100
Percentage Change = 62%
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What is the fifth term of the sequence described by the following explicit formula? an = 4 + (n + 1)(-5)
a. -26
b. -30
c. -34
d. -20
Answer:
a
Step-by-step explanation:
substitute n = 5 into the explicit formula , then
a₅ = 4 + (5 + 1)(- 5) = 4 + 6(- 5) = 4 - 30 = - 26
Given that tangent squared theta = three-eighths, what is the value of secant theta? Plus-or-minus StartRoot eight-thirds EndFraction Plus-or-minus StartRoot eleven-eighths EndFraction Eleven-eighths Eight-thirds
Using a trigonometric identity, considering the given value of the tangent of theta, the secant of the same angle is given by:
[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]
How is the tangent related to the secant?According to the following identity:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
In this problem, the tangent squared is given as follows:
[tex]\tan^2{\theta} = \frac{3}{8}[/tex]
Hence the secant is given by:
[tex]\sec^{2}{\theta} = 1 + \tan^2{\theta}[/tex]
[tex]\sec^{2}{\theta} = 1 + \frac{3}{8}[/tex]
[tex]\sec^{2}{\theta} = \frac{11}{8}[/tex]
[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]
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Answer:
Plus-or-minus StartRoot eleven-eighths EndFraction
Step-by-step explanation:
The answer above is correct.
Solve each system
9x - 8y = -4
-x - 4y=-24
PLEASE HELP ASAP!! ILL MAKE YOU THE BRAINIEST
TRAP~EZYD use the diagram on the right to find the scale factor of TRAP to EZYD
Answer:
scale factor = 1.2
Step-by-step explanation:
the scale factor is the ratio of corresponding sides image to original, that is
EZYD → TRAP
corresponding sides are the comparable sides on both , that is
EZ → TR
then
scale factor = [tex]\frac{EZ}{TR}[/tex] = [tex]\frac{12}{10}[/tex] = 1.2
find the missing angle
pls i need it asap, thanks
.90° + 45° + x = 180°
{Sum of angles of triangles = 180°}
135° + x = 180°
x = 45°
2.61° + 90° + x = 180
151 + x = 180
x = 29°
3.31° + 90° + x = 180°
122° + x = 180°
x = 58°
4.x + 15° +90° = 180°
x = 180° - 105°
x = 75
~Tulpe⚘
In a class of 200 pupils, 60% passed in an examination. How many failed?
Answer:
80 pupils
Step-by-step explanation:
60% of 200 is 120
200 - 120 is 80.
Type the correct answer in the box. Use numerals instead of words.
Helen needs a replacement ball bearing for this part. The surface area of each spherical ball bearing is approximately 452.16 square milimeters.
What is the radius of the bearing that Helen needs to buy? Round your answer to a whole number
Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.
What is the surface area of a sphere?The surface area of a sphere of radius r is given by:
[tex]S_A = 4\pi r^2[/tex]
In this problem, we have that:
[tex]S_A = 452.16[/tex]
Hence:
[tex]4\pi r^2 = 452.16[/tex]
[tex]r = \sqrt{\frac{452.16}{4\pi}}[/tex]
r = 6.
The radius of the bearing that Helen needs to buy is of 6 millimeters.
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Answer: 6
Step-by-step explanation: NOT NEEDED
If you were creating a PSA about building a green roof, which sources would be reliable for researching the topic? Check all that apply. a .gov or .org website on green roofs an article from a government organization on how green roofs improve air quality a blog about how green roofs are a fun activity for community gardeners newspaper articles reporting on how green roofs absorb heat in cities a .net or .com website that shows a company’s opinion on sprinklers to install on green roofs
Answer:
A.a .gov or .org website on green roofs
b.an article from a government organization on how green roofs improve air quality
d. newspaper articles reporting on how green roofs absorb heat in cities
Step-by-step explanation:
because i did it
Answer:
abd
Step-by-step explanation:
How do you convert [tex]x=-\frac{6}{7}x-\frac{6}{7}[/tex] into standard form? I know the answer but I can't figure out how to get it.
Answer:
[tex] \frac{13x}{7 } + \frac{6}{7} = 0[/tex]
We have a circle with center K with an arc HJ with a measure of 40°. What is the measure of angle HIJ?
40°
60°
80°
20°
The measure of angle HIJ is 20°. The correct option is the last option 20°
Circle GeometryFrom the question, we are to determine the measure of angle HIJ
From one of the Circle theorems, we have that
The angle at the center of a circle is twice the angle at any part of the circumference
From the information,
The measure of arc HJ is 40°. That is, the angle at the center is 40°.
Then, using the above theorem,
Measure of angle HIJ = 40° / 2
Measure of angle HIJ = 20°
Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°
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Answer:
20°
Step-by-step explanation:
5.
Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue
Answer:
5/10
Step-by-step explanation:
How can you use a table to determine whether the relationship between two quantities is
proportional
Answer:
Step-by-step explanation:
How Do You Determine Whether Values in a Table are Proportional? To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.
Riddle: a half is a third of it. What is it?
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
let n be the number , then
[tex]\frac{1}{3}[/tex] n = [tex]\frac{1}{2}[/tex] ( multiply both sides by 3 )
n = 3 × [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]
Find the slope of the line passing through (-2 , 1) and (1,1)
Answer:
The slope of the line is: M = 0
Step-by-step explanation:
Using the "Slope from 2 points" formula which is \/
M = (y2 - y1) / (x2 - x1)
We just need to input the numbers to find the slope!
M = ( 1 - 1 ) / (1 - - 2 )
Now solve within the parentheses:
M = ( 0 ) / ( 3 )
Which is basically just 0.
I hope the formula: M = ( y2 - y1) / (x2 - x1)
Helps you in the future so you wont have to ask questions like this again.
In the circle below, BD = 112° and FE = 38° Find m/FCE 10 1000 4
Answer:
∠ FCE = 37°
Step-by-step explanation:
the secant- secant angle FCE is half the difference of the intercepted arcs, that is
∠ FCE = [tex]\frac{1}{2}[/tex] (BD - FE ) = [tex]\frac{1}{2}[/tex] (112 - 38)° = [tex]\frac{1}{2}[/tex] × 74° = 37°
Jones planted s flowers. He planted fewer flowers than Kerry. Kerry
planted 50 flowers. Write the expression that shows how many flowers Jones
planted.
Answer:
s < 50
Step-by-step explanation:
This is an inequality that can be used to express the amount of flowers planted. If Jones planted s flowers, Kerry planted 50, and Jones planted less flowers than Kerry, s must be less than 50.
HELP PLEASE!!!!
A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck. If the back of the truck is 5 feet high, how long is the ramp?
14 ft
13 ft
7 ft
17 ft
Answer:
13 feet
Step-by-step explanation:
if we assume the angle on the ground to the truck is a ninety degree angle
On a coordinate plane, point F is located at points 3, 7 and point G is located at points 9,7. whats the distance in units between point F and point G? Enter the answer in the box.
Answer:
6 units
Step-by-step explanation:
since the y- coordinates of both points are 7 then the horizontal distance between the points is the absolute value of the difference in the x- coordinates , that is
d = | 9 - 3 | = | 6 | = 6 units , or
d = | 3 - 9 | = | - 6 | = 6 units
I need help y’all thanks
Answer:
f(x) = 23.5
Step-by-step explanation:
The slope when in the 4th quadrant is at 4,100
Famous (and not so famous) Mathematicians Escape Room(Slide 3)
Can someone put the events in the correct order pls
(when they are in the correct order the letters in the corner form a CODE not a WORD so dont look for that)
I WILL GIVE BRAINLIEST
The chronological order of the events described is: Earliest record of the Chinese Lo Shu magic square, Hypatia becomes the head of the Platonist School, Aryabhata writes the famous aryabhatiya, The discovery of the Fibonacci Sequence, Florence Nightingale develops the polar area diagram, and First African American woman to visit space.
How to classify events chronologically?To classify events chronologically we must know the date on which they occurred.
The chronological organization can be from the oldest event to the most recent or vice versa. In this case the organization of the events will be done from the oldest to the most recent.
Earliest record of the Chinese Lo Shu magic square: 650 BC, served as the basis for city planning, tomb design, and temple design.Hypatia becomes the head of the Platonist School: 400 - Around the year 400 the philosopher had become the leader of the Neoplatonists. Therefore, she devoted herself to teaching, focusing on the works of Plato and Aristotle.Aryabhata writes the famous aryabhatiya: 499-Aryabhata mentions in the Aryabhatiya that 3630 years had passed in the age of Kali iuga, when he was 23 years old. This corresponds to the year 499.The discovery of the Fibonacci Sequence: 1202 - The historical development of this sequence begins in the year 200 and is attributed to Pingala. Years later it would be discovered by Leonardo Bigollo in 1202.Florence Nightingale develops the polar area diagram: 1854 - 1856 - Florence Nightingale was the inventor of the Polar Area Diagram, which in this case is used to represent the number of deaths in the British Army during the Crimean War.First African American woman to visit space: 1992-Mae Carol Jemison flew her only space mission from September 12-20, 1992, on STS-47. Jemison logged 190 hours, 30 minutes, 23 seconds in space and orbited the earth 127 times.Learn more about timeline in: https://brainly.com/question/8066374
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helppppppppppppppppppppppppppp!!!!!!!
Answer:
the distance is 4
Step-by-step explanation:
PLS PLS PLS HELP I DONT HAVE MUCH TIME FOR THIS! I WILL MARK BRAINLIEST AND 22 POINTS!
Answer:
37
Step-by-step explanation:
The population of a certain city can be modeled by P = 130,000(1.018)t.
Describe what is happening to
the
population as the number of years, t, increases.
A. The population is decreasing
B. The population is increasing
C. The population remains constant
D. The population change is inconsistent
Answer:
D.the population change is inconsistent
Find the center and radius of the circle represented by the equation below.
Answer:
Center= (-6,-8)
Radius= 6
Step-by-step explanation:
We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:
[tex](x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36[/tex]
In the equation -h is 6 so our h (x-coordinate) is -6
In the equation -k is 8 so our k (y-coordinate) is -8
In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.
Please help!!!!!!
For the target below an archer randomly shoots an arrow which hits the target, what is the theoretical probability the arrow will hit the small square on the upper left? Assume all squares are the same size. Round to the nearest tenth of a percent.
A. 9.8%
B. 2.5%
C: 1.0%
The theoretical probability that the arrow will hit the small square on the upper left is approximately 9.8%. (Option A)
To determine the theoretical probability, we first need to calculate the areas involved. Let's start by finding the area of the entire circular target. The formula for the area of a circle is given by A = π * r², where 'r' is the radius. Plugging in the given radius (36 inches) into the formula:
A_circle = π * (36 inches)² ≈ 4069.73 square inches.
Next, we need to calculate the area of the small square in the upper left corner. Since the square is positioned at a corner of the circle, it forms a quarter of a circle. The area of this quarter circle can be calculated as follows:
A_quarter_circle = ¼ * A_circle. = ¼ * 4069.73 = 1017.43
Now, let's find the area of the square. The formula for the area of a square is A_square = side², where 'side' is the side length. Plugging in the given side length (5 inches) into the formula:
A_square = (5 inches)² = 25 square inches.
However, there are four identical squares inside the quarter circle, so the total area of all the squares combined is:
Total_Area_squares = 4 * A_square.
Now, to calculate the probability of hitting the small square in the upper left corner, we divide the area of that square by the area of the quarter circle:
Probability = (A_square / A_quarter_circle) * 100. = 25 / 1017.43 * 100 = 9.8%.
Hence the correct option is (a).
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Provide the missing reasons in the proof.
Choices for the above proof:
Angle Addition Postulate
ASA Congruence Postulate
Given
Definition of right triangle
∆ is a right triangle
51° + 39° = ∠;
90° = ∠;
∠ is a right angle
Definition of right angle
Angle Congruence Postulate
The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The angle ∠DEG = 51° and angle ∠GEF = 39°.
Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have
We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.
The sum of the angle ∠DEG and ∠GEF will be
∠DEF = ∠DEG + ∠GEF
∠DEF = 51° + 39°
∠DEF = 90°
Then the triangle ΔDEF will be a right-angle triangle.
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What is the diameter of a sphere with a volume of 80487 in", to the nearest tenth of an inch?
what is the radius of the circle?
Using Pythagoras theorem:-
H²= P²+ B²
Putting the value in equation
[tex] {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83[/tex]
Answer:- Radius =x= √34 = 5.83Does anybody know this?Two complementary angles are in the ratio of 4:6 find the measure of the smallest angle and the value of x.
Answer:
36
Step-by-step explanation:
A ratio 4:6 means the one quantity is 4/10 of the full thing:
While the other quantity is 6/10 of the full thing
So the smaller angle will be 4/10 of the the complementary angle.
Complementary angle is 90.
So 4/10 of 90 is 36.
there are 8 classes in the cafeteria. the ratio of the kindergarten classes to other classes was 1:3. how many classes were NOT from kindergarten
(6TH GRADE)
Answer:
6
Step-by-step explanation:
1+3=4
8÷4=2
Kindergarten = 2×1 =2
Other class = 2×3=6
Ratio of kindergarten classes to other classes is 2:6
