Answer:
Cooler
Step-by-step explanation:
Sherese bought a designer purse for 25% off. The original price was $84. How much is the discount? helpppp!
Answer:
The refund was $29.40 off hope this helps!
use the given coordinates to determine whether $\triangle abc\cong\triangle def$ .$a(-2,-2),\ b(4,-2),\ c(4,\ 6),\ d(5,\ 7),\ e(5,\ 1),\ f(13,\ 1)$the triangles congruent.
The ΔABC and ΔDEF are congruent by SSS congruent criteria
According to the question,
We have to prove ΔABC and ΔDEF are congruent
Coordinates of ΔABC are given as :
A(-2 , -2) , B(4 , -2) and C(4,6)
By using Distance formula ,
AB = √(-2-(-2))²+ (4 - (-2))²
=> √(-2 + 2)² + (4 +2)²
=> √ 6²
=> 6
AC = √(6-(-2))²+ (4 - (-2))²
=> √(6 + 2)² + (4 +2)²
=> √ 56 + 36
=> √92
BC = √(6-(-2))²+ (4 - 4)²
=> √(6+ 2)²
=> √ 8²
=> 8
Coordinates for ΔDEF,
D(5 , 7) , E(5,1) and F(13 , 1)
By using Distance formula ,
DE = √(1 - 7)²+ (5 -5)²
=> √(-6)²
=> √36
=> 6
DF = √(1-7)²+ (13 - 5)²
=> √(-6)² + (8)²
=> √ 56 + 36
=> √92
EF= √(1 - 1)²+ (13 - 5)²
=> √ 8²
=> 8
Now, two triangles are congruent if they are equal sides or equal angles
Therefore , In ΔABC and ΔDEF
AB = DE
AC = DF
BC =EF
By the SSS criteria , ΔABC and ΔDEF are congruent
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what is solution set for 2x2+15=-11x?
A{2.5,3} C{-3,-2.5}
B[1.5,5} D{-5,-1.5}
Answer:
C{-3,-2.5}
Step-by-step explanation:
Brainliest pls
Please help! Will give brainliest!
Step-by-step explanation:
\(\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }\)
3. Solve 6 + 5 √ 2 4 9 − 2 x = 7
Answer:
please mark my answer brainliest
Step-by-step explanation:
question is unclear to give u correct answer
Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. On the same exam Johnny's friend Jessie answered 4 times more questions correct than incorrect. Who got a higher percentage on the test. Johnny or Jessie?
Answer:
Jessie
Step-by-step explanation:
Jessie answered 4 more times correct that Johnny so she will get a better grade.
Find the surface area of the solid figure represented by the given net. 65 cm 2 250 cm 2 40 cm 2 90 cm 2
Answer:
55,500 cm².
Given:
To find the surface area of the solid figure represented by the given net, we first have to identify the shape of the figure. By analyzing the net, we can see that the figure is a rectangular prism with a length of 65 cm, a width of 40 cm and a height of 250 cm. To find the surface area of a rectangular prism, we use the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values, we get:
Steps:
2(65)(40) + 2(65)(250) + 2(40)(250) = 13,000 + 32,500 + 10,000 = 55,500 cm²
Get:
Therefore, the surface area of the solid figure represented by the given net is 55,500 cm².
Answer:
600 cm².
Step-by-step explanation:
The net provided represents a three-dimensional solid figure. The surface area of this figure can be calculated by finding the area of each individual face and adding them together. The net includes six faces, each of which have different dimensions. The areas of these faces are: 65 cm², 250 cm², 40 cm², 90 cm², 90 cm², and 65 cm². Adding them together, we get a total surface area of 600 cm². Therefore, the surface area of the solid figure represented by the given net is 600 cm².
n is an integer
prove algebraically that the sum of 1/2n(n+1) and 1/2(n+1)(n+2) is always a square number
Answer:
See belowStep-by-step explanation:
Find the sum:
1/2n(n+1) + 1/2(n+1)(n+2) =1/2(n² + n) + 1/2(n² + 3n + 2) =1/2(n² + n + n² + 3n + 2) = 1/2(2n² + 4n + 2) = n² + 2n + 1 = (n + 1)²Proved
Solution:
Work:
[1/2(n)(n + 1)] + [1/2(n + 1)(n + 2)]Simplifying in Brackets
=> [1/2(n² + n)] + [1/2(n² + 2n + n + 2)]=> [n²/2 + n/2] + [n²/2 + n + n/2 + 1]Removing Brackets.
=> n²/2 + n/2 + n²/2 + n + n/2 + 1Solving.
=> n² + n + 1=> (n + 1)²Since the result has a "square" sign, the statement is proved has true.
Hoped this helped.
what is 328.618 round to the nearest hundredth
A. 300
B. 328.60
C. 330
D. 328.62
Answer:
D. 328.62
Step-by-step explanation:
328.618 round to the nearest hundredth
Rounding to the nearest hundredth means 2 numbers after the decimal point
Numbers that rounds to 1 are 5, 6, 7, 8, 9
Number that rounds to 0 are 0, 1, 2, 3, 4
When rounding up, to the nearest hundredth, you will consider the next number after the two figures after the decimal point
Here, the next number after the two figures after the decimal point is 8
8 is a number that rounds to 1
Therefore, add 1 to 1 to have
328.62
29 is what percent of 84
Answer:
34.52%
Step-by-step explanation:
To find out what percent 29 is of 84, we can use the following percentage formula:
\(\text{Percentage} = \left(\dfrac{\text{Part}}{\text{Whole}} \right) \times 100\)
In this case, the "Part" is 29, and the "Whole" is 84.
Plug these values into the formula:
\(\text{Percentage} = \left(\dfrac{29}{84} \right) \times 100\)
Now, calculate the percentage:
\(\text{Percentage} = 34.5238095...\)
Therefore, 29 is approximately 34.52% of 84.
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?
Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?
The selling price of the car is \(\\)20400.
Given that,
Willa receives a commission of $1,020 for selling a car.
If the commission is 5% of the selling price.
What is the selling price of the car?
Let us take selling price of the car= x
We can write selling price of the car as
$1,020 =5%x
1020=\(\frac{x}{20}\)
\(x=1020\times20\)
\(x=20400\).
Therefore, The selling price of the car is \(\\)20400.
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Factor the expression using the GCF. 72-39
Answer
72= 2, 2, 2, 3, 3
39= 3, 13
GCF= 3
3( 24 - 13)
Step-by-step explanation:
Consider the enlargement of the rectangle.
A small rectangle with length of 4 and width of 2. A larger rectangle with length of 12 and width of 6.
Which proportional statements are true of the enlargement? Check all that apply.
The two given rectangles are proportional to each other since they have a width to length ratio of 2 and the area ratio between them is equal to 9.
How to determine the ratios related to two proportional rectangles
Two rectangles are proportional to each other when both have the same length to width ratio. The area ratio is defined by the following formula:
r' = (l' · h')/(l · h) (1)
Where:
l' - Length of the enlarged rectangle.l - Length of the original rectangle.h' - Length of the enlarge rectangle.h - Length of the original rectangle.Now we determine the length to width ratio of each rectangle:
Original rectangle
s = 4/2
s = 2
Enlarge rectangle
s' = 12/6
s' = 2
The two rectangles have the same length to width ratio.
And the area ratio is:
r' = (12 · 6)/(4 · 2)
r' = 72/8
r' = 9
Remark
The statement is incomplete and complete statement cannot be found. We modify the statement towards the determination of the length to width ratio of a rectangle and the areas ratio.
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Answer: A, B, D, is the correct answer. :) Hope this helped.
StartFraction width original over length original EndFraction = StartFraction width enlargement over length enlargement EndFraction.
StartFraction length original over length enlargement EndFraction = StartFraction width original over width enlargement EndFraction.
StartFraction width enlargement over length enlargement EndFraction = StartFraction width original over length original EndFraction.
Solve each equation for x. Show all steps.
A) log base 4 (x^2 -12x+48) =2
B) 27^(4x-6) =(1/9)^(2x-7)
A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8
B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2
Solving equations: Determining the value of xFrom the question, we are to solve the given equations
The given equation is log₄(x² - 12x + 48) = 2
From one of the laws of logarithm, we have that
logₐ x = n ⇒ x = aⁿ
Thus,
log₄(x² - 12x + 48) = 2 becomes
(x² - 12x + 48) = 4²
x² - 12x + 48 = 16
x² - 12x + 48 - 16 = 0
x² - 12x + 32 = 0
Solve the quadratic equation
x² - 12x + 32 = 0
x² - 8x - 4x + 32 = 0
x(x - 8) -4(x - 8) = 0
(x - 4)(x - 8) = 0
x - 4 = 0 OR x - 8 = 0
x = 4 OR x = 8
B) 27^(4x-6) =(1/9)^(2x-7)
Solve for x
27^(4x-6) =(1/9)^(2x-7)
Express the bases in index form
3^3(4x-6) =(3)^-2(2x-7)
Equate the powers
3(4x - 6) = -2(2x - 7)
12x - 18 = -4x + 14
12x + 4x = 14 + 18
16x = 32
Divide both sides by 16
16x/16 = 32/16
x = 2
Hence, the value of x is 2
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The price of an item has risen to $282 today. Yesterday it was $120. Find the percentage increase.
Answer:
57.45% increase
Step-by-step explanation:
The formula for percent change is (new - old)/new x 100.
The new value is $282 and the old value is $120.
Plug that into the formula:
(282 - 120)/282 x 100
= 57.45%
I hope this helped!
Espa Maya's chocolate bar is 29% cocoa. If the weight of the chocolate bar is 67 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
19.4 g (rounded to the nearest tenth)
Step-by-step explanation:
Convert the percentage to a decimal by dividing by 100:
29% = 29/100 = 0.29
To find 29% of 67, multiply the decimal percentage by the total amount:
0.29 x 67 = 19.43
= 19.4 g (rounded to the nearest tenth)
A mother whale is at 35meters below the surface and her calf is at the surface. How far does the calf have to swim to get to its mother
Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
need help really please
Answer:
1. 3
2. $3.30
3. $3.28
Step-by-step explanation:
sorry if this is wrong i learned this two years ago lol
Please help! :) Picture below. Find the approximate area of this composite shape
Answer:
112 is the area of this figure...
Hope it helps!!!
What is 98 in exponential form
We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.
To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.
Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:
We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.
To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.
98 ÷ 10 = 9.8
Since 9.8 is still greater than 1, we need to continue dividing by 10.
9.8 ÷ 10 = 0.98
Now, we have reached a value less than 1, so we stop dividing.
From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:
98 =\(10^1\) + 2
Therefore, we can write 98 in exponential form as:
98 = \(10^3\)
In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.
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Find the slope of every line that is parallel to
the line on the graph
The slope of the given line is
\(\frac{-1-0}{0-(-6)}=-\frac{1}{6}\)
Since all parallel lines have the same slope, the answer is -1/6
Find the percentage change from the first quantity to the second quantity:
From $75 to $90 ___________
From 40 cm to 60 cm ____________
From 20 gm to 5 gm ____________
From 60 km/h to 45 km/h ____________
From 5 dozen eggs to 100 eggs ____________
Answer:
1) 20% increase
2) 50% increase
3) 75% decrease
4) 25% decrease
5) 66.6667% decrease
A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
Question 5 (06.06) Which pair, of expressions is equivalent using the Association Property of Multiple?
A: 4(2a • 5) = (4 • 2a) • 5
B: 4(2a • 5) = 8a • 20
C: 4 (2a •5) = (2a • 5) • 4
D: 4(2a • 5) = 4 • 2a • 5
Happy Easter
Answer:
The answer to your problem is, A. 4(2a • 5) = (4 • 2a) • 5
Step-by-step explanation:
The APM ( Association Property of Multipaction ) states that multiplication of group of numbers in any combination of any type of number.
Like: a × ( b×c ) = ( a × b ) × c
Option A. Has that;
4(2a • 5) = (4 • 2a) • 5
Thus the answer to your problem is, A. 4(2a • 5) = (4 • 2a) • 5
0.04,0.004,0.4,0.044 arrange the set from largest to smallest
Answer:
0.4 0.044 0.04 0.004
Step-by-step explanation:
find the slope of the tangent line to the curve y at x. then write the equation of this tangent line. question content area bottom part 1 the slope of the line tangent to the curve y at x is 36. part 2 the equation of the line tangent to the curve y at x is y minus y equals 36 (x minus 3 ).
the equation of the line tangent to the curve y at x = 3 is y = 36x - 102. The slope of the tangent line to the curve y at x = 3 is 36.
The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:
y - y = 36(x - 3)
y = 36x - 102
So the equation of the line tangent to the curve y at x = 3 is
y = 36x - 102.
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There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is replaced. Find the probability. (2 yellow)
Explanation:
The fraction 2/6 is the probability of getting a yellow marble because there are 2 yellow out of 3+1+2 = 6 total. The fraction 2/6 reduces to 1/3.
Once the marble selected is replaced, the bag will have the same exact number of each marble inside. Nothing has changed. Therefore, the probability of getting another yellow marble is also 1/3.
The probability of getting two yellow marbles in a row is (1/3)*(1/3) = 1/9
The fraction 1/9 is approximately equal to 0.111 which converts to 11.1%
Can someone help please
ASAP
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then
∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )