Final answer:
The distance between the points (–9,2) and (–4,2) is 5 units, calculated as the absolute difference between the x-coordinates since the y-coordinates are equal.
Explanation:
The distance between the points (–9,2) and (–4,2) can be found using the distance formula, which is derived from the Pythagorean theorem. For two points (x1, y1) and (x2, y2) the distance is given by √((x2 - x1)² + (y2 - y1)²). However, because the y-coordinates of the points are the same, we can simplify this to the absolute value of the difference between the x-coordinates.
In this case, the distance is |(–4) - (–9)|, which simplifies to 5 units. There's no need to calculate a square root because there is no vertical change between the points.
Your weekly base salary is $150. You earn $20 for each cell phone that you sell. What is the minimum amount you can earn in a week?
Answer:
$150 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
The minimum you can earn would be $150. This would be your base salary and you selling 0 cell phones.
At a local pizza parlor , game tickets can be traded for small toys . The rate is 10 tickets for 4 small toys . If meg won 55 tickets playing skeeball , for how many small toys can she trade her tickets
Meg can trade her tickets in for 20 small toys.
When you divide 7.7 by 700 how many decimal places will the quotient have?
The number of decimal places that the quotient has will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The numbers are given below.
7.7 and 700
The quotient of the numbers 7.7 and 700 will be
⇒ 7.7 ÷ 700
⇒ 0.011
Then the number of decimal places that the quotient has will be 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Please Help, Thanks~
Explain how you can use the terms from the binomial expansion to approximate 4.02^5
1st term: 1024
2nd term: 25.6
3rd term: 0.256
4th term: 0.001
Answer:
See below. The result using the binomial theorem is 1049.8560 compared with 1049.8573 using a calculator.
Step-by-step explanation:
Binomial theorem:-
( a + x)^n = a^n + nC1 a^(n-1) x + nC2 a^(n - 2)x^2 + .......
(4 + 0.02)^5 = 4^5 + 5C1* 4^4 *0.02 + 5C2* 4^3* 0.02^2 + 5C3*4^2*0.02^3
+ 5C4 * 4 * 0.02^4 + 0.02^5
= 1024 + 5*4^4*0.02 + 10*4^3*0.02^2 + 10*4^2*0.02^3 + 5*4*0.02^4 + 0.02^5
= 1024 + 25.6 + 0.256 + 0.0000032
Answer:
Keisha's Response: The 4th term is almost 0, so the 5th and 6th terms are also close to 0. Add the terms shown to approximate 4.025: 1024 + 25.6 + 0.256 + 0.001 = 1049.857.
Step-by-step explanation:
EDGINUITY
Is there a similarity transformation that maps Triangle ABC to Triangle DEF? If so, identify the similarity transformation and write a similarity statement. Explain your answer.
Answer:
Yes, there is a similarity transformation that maps triangle ABC to Triangle DEF.
Step-by-step explanation:
Similarity transformation;
Triangle DEF has been transformed(dilated) by a factor of 2.
Since each dimension is twice that of the triangle ABC.
Two triangles are similar if their corresponding sides are congruent and corresponding angles are congruent.
Similarity statement:
ΔABC [tex]\sim[/tex] ΔDEF
these two triangles are similar because;
[tex]\frac{AB}{DE}= \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\frac{AC}{DF}= \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\frac{BC}{EF}= \frac{3}{6} = \frac{1}{2}[/tex]
⇒ [tex]\frac{AB}{DE}=\frac{AC}{DF} =\frac{BC}{EF}[/tex]
Yes, there is a similarity transformation that maps Triangle ABC to Triangle DEF.
To determine if two triangles are similar, one must check if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.
Let's denote the angles of Triangle ABC [tex]\(A\), \(B\), and \(C\),[/tex] and the angles of Triangle DEF as [tex]\(D\), \(E\), and \(F\),[/tex] respectively. Similarly, let's denote the sides opposite these angles as [tex]\(a\), \(b\), and \(c\)[/tex] for Triangle ABC, and [tex]\(d\), \(e\), and \(f\)[/tex] Triangle DEF.
For Triangle ABC and Triangle DEF to be similar, the following conditions must be met:
1. [tex]\(A = D\), \(B = E\), and \(C = F\)[/tex] (AA postulate for similarity).
2. [tex]\(\frac{a}{d} = \frac{b}{e} = \frac{c}{f}\)[/tex] (corresponding sides are in proportion).
If these conditions are satisfied, then there exists a similarity transformation that maps one triangle to the other. This transformation can be broken down into the following steps:
1. Dilation: To make the sides of Triangle ABC proportional to the sides of Triangle DEF, we perform a dilation. The scale factor k can be determined by the ratio of any pair of corresponding sides. For example, [tex]\(k = \frac{d}{a} = \frac{e}{b} = \frac{f}{c}\)[/tex]. This single scale factor should work for all three sides if the triangles are similar.
2. Rotation/Reflection (optional): If Triangle DEF is not oriented in the same direction as Triangle ABC, we may need to rotate or reflect Triangle ABC to align it with Triangle DEF. This does not affect the similarity.
3. Translation (optional): Finally, if Triangle DEF is not in the same position as Triangle ABC (but has the same orientation and size after the dilation), we perform a translation to move Triangle ABC to the position of Triangle DEF.
Since the angles are preserved under dilation, rotation, and translation, and the sides are made proportional by the dilation, the similarity transformation is complete.
If the corresponding angles are equal and the corresponding sides are in proportion, then the two triangles are similar, and a similarity transformation exists that maps one to the other. The similarity statement captures this relationship, indicating that the triangles are similar to the AA postulate and the sides are in proportion.
Jean junction is selling jeans at 15% off the regular price the regular price is 25.00 per pair what is the discount amount
Answer:
$3.75
Step-by-step explanation:
To find the price after discount subtract this from $25.00
25.00 - 21.25 = 3.75
21.25 + 3.75 = 25
Hope this helped!
Which statement explains why one of these triangles is a right triangle?
Answer:
Triangle A has one right angle
Step-by-step explanation:
Mike is 3 years old.joe is 6 times as old as mike. whict equation shows how to find Joe's age? 6÷3=2. 9-3=6. 3×6=18. 3×6=9
Answer: 18
Step-by-step explanation:
3 times 6
Help me out, please!!!! Need an answer asap!!!
Answer:
D
Step-by-step explanation:
Answer:
D) 67
Step-by-step explanation:
j = 4N + 11
N = 14 Insert the value of N
j = 4×14 + 11
j = 56 + 11
j = 67
Jupiter has 67 moons.
Mount McKinley in Alaska rises 20,320 feet in the air while Mount Kosciusko in Australia rises 7,310 feet. What is the difference in the height of these mountains? Express your answer in scientific notation.
Answer:
1.301 × 10⁴ ft
Step-by-step explanation:
Difference = h₂ - h₁
Difference = 20 320 - 7310
Difference = 13 010 ft
To convert the number to scientific notation, we move the decimal point four places to the left and make the exponent of 10 equal to +4.
Difference = 1.301 × 10⁴ ft
Can someone help me answer this question.
Hello from MrBillDoesMath!
Answer:
Choice B (176)
Discussion:
Volume of a box = (area of base) * height.
In our case this becomes
"2 of the boxes have a height of 3" + "and one box has a height of 5"
16 * 3 + 16 * 3 + 16 * 5 =
48 + 48 + 80 =
96 + 80 =
176
which is choice B
Thank you,
MrB
Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
A) Estimate 49% of 162.
B) Use mental math to calculate 49% of 162.
if You flip an coin 200 times about how many times would you expect the coin to labd on tails what is the probality
Answer:
100;200
There are 200 total flips and to find probability we would have to divide it by two. Doing so, should give you something like this 100;200.
Simplify the expression. 3(x + 6x2 − 3x − 3x2)
A. 3x2
B. 15x2
C. 9x2 − 6x
D. 15x2 − 6x
Answer:
C. 9x^2 − 6x
Step-by-step explanation:
3(x + 6x^2 − 3x − 3x^2)
According to PEMDAS, we need to simplify inside the parentheses first
3(x -3x+ 6x^2 − 3x^2)
3(-2x+3x^2)
Now we can distribute the 3 to both terms inside the parentheses
3 * -2x + 3* 3x^2
-6x + 9x^2
We normally write them in decreasing powers of x
9x^2 -6x
How do you solve number 7 please help
Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)
Find the area of rectangle PLUM
If entering your answer as a decimal, round your final answer to the nearest hundredth.
Answer:
A = 53.34 [tex]units ^ 2[/tex]
Step-by-step explanation:
To find the length of the rectangle we solve the PLA triangle
Using the Pythagorean theorem we find the PL side.
[tex]PL = \sqrt{4^2+12^2}\\PL = \sqrt{16+144}\\PL = 12.65[/tex]
Then the length of the rectangle is 12.65
Now we solve the MALU triangle. Where MU = PL
We use the Pythagorean theorem:
[tex]MU^2+LU^2 = (MA + AL)^2\\12.65^2+LU^2 = (MA+12)^2[/tex]
Where LU and MA are unknown.
Finally we solve the triangle MPA
[tex]MA^2 + PA^2 = PM ^2[/tex]
Where PM = LU
So:
[tex]MA^2 + 4^2 = LU^2[/tex]
Now we have two equations and two unknowns. So we solve the system.[tex]12.65^2 + LU^2 = (MA + 12) ^2[/tex] (i)
[tex]MA^2+4^2 = LU^2[/tex] (ii)
We introduce (ii) in (i)
[tex]12.65^2 + MA^2+16=MA^2+24MA+144[/tex]
Now we clear MA
[tex]160.02+16-1 44 = 24MA[/tex]
[tex]32.02 = 24MA[/tex]
[tex]MA = \frac{32.02}{24}[/tex]
MA = 1.3342 (iii)
Now we introduce (iii) in (ii)
1.3342^2 + 4^2 = LU^2
LU = 4.2166
Now we have the length of the rectangle and also its width.
The area A of a rectangle is:
A = l*w
Where
l = length
w = width
A = 4.2166*12.65
A = 53.34 [tex]units^2[/tex]
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A.
7
B.
10
C.
12
D.
17
Answer:
C. 12
Step-by-step explanation:
The last vertical line in a Box-and-Whisker plot is the upper quartile value, also know as 75% into the data. Since 75% is the same as three quarters and the last vertical line is on 12, C is the answer
Answer: C
Step-by-step explanation: I am a pro
what does x/4=3/2 equal?
6x2/5 will be greater or less than 2/5
Final answer:
The expression 6x²/5 is greater than 2/5 if x is a positive integer greater than 1. If x equals 1, the expression is still greater than 2/5. However, if x is zero or negative, the expression will be equal to or less than 2/5.
Explanation:
To determine whether 6x²/5 is greater or less than 2/5, we need to consider the value of x.
As long as x is a positive integer greater than 1, the expression 6x²/5 will indeed be greater than 2/5. If x equals 1, then 6x²/5 simplifies to 6/5, which is greater than 2/5.
However, if x is zero or negative, then 6x²/5 will be equal to or less than 2/5. For example, when x is 2, 6x²/5 becomes 6 × (2²)/5 = 24/5, which is clearly greater than 2/5.
This logic is similar to instances where combining certain quantities doesn't always lead to a straightforward sum, such as mixing volumes of liquids or combining probabilities of events.
Using the Law of Syllogism, select the correct final statement: If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle. Question 9 options: If a polygon has 4 right angles, then it is a square. The polygon has 4 right angles. The polygon is a rectangle. If a polygon is square, then it is also a rectangle.
Answer:
if a polygon is square,then it is also a rectangle is correct
Step-by-step explanation:
1)if a polygon has 4 right angles,then it is a square is wrong since in the statement a square has all its angles as right angles but it need not imply that it is a square as it could also be a rectangle
2) polygon need not have four right angles eg:rhombous with angles 60°,60°,120°,120° is also a polygon
3)every polygon need not be a rectangle as it could be square
4)if a polygon is square, then all its angles are right angles and if all its angles are right then it is rectangle.
hence option 4 is true.
each baseball team has 9 players and each football team has 11 players. 6 schools have both baseball and football teams. Four schools have only a baseball team. how many players are there for all 10 schools
Answer:
156 players
Step-by-step explanation:
The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.
Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.
After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?
5x + 13y = 232
12x + 7y = 218
Please help!
Explain your answer.
Answer:
D
Step-by-step explanation:
5+7(8r-2)
5+56r-14
-9+56r=56r-9
d
Answer:
D) 56r - 9
Step by Step Explanation:
I need a pic representing 24 divided by 6
Answer:The answer is 4
Step-by-step explanation:
I just need to know if they have equivalent volumes and an explanation.
Answer: Yes, they have equivalent volumes.
Step-by-step explanation:
For the volumes to be equal, a would have to be equal to b. We'll assume x=x
1. Set the volumes equal to each other
x +a +2b =x +2a +b
2. Simplify
[x +a +2b =x +2a +b] -x
[a +2b =2a +b] -a
[2b =a +b] -b
b =a
Therefore, 2a=2b, a=b, and x=x
Since the two prisms have the same measurements, they have the same volumes.
For what value of x is sin x = cos 19°, where 0°< x < 90°? A. 38° B. 71° C. 26° D. 19°
Answer:
B
Step-by-step explanation:
using the cofunction identity
• sin (90 - x) = cosx / cos(90 - x) = sinx, hence
cos 19° = sin(90 - 19)° = sin 71°
Answer:
B
Step-by-step explanation:
using the cofunction identity
• sin (90 - x) = cosx / cos(90 - x) = sinx, hence
cos 19° = sin(90 - 19)° = sin 71°
how many thirds are in one half
Answer:1 and a half
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
There are one in 1/2
A rectangular room measures 14 feet by 12 feet.Find the cost of installing a strip of wallpaper around the room if the wallpaper costs 0.72 per foot.
Answer:
$120.96
Step-by-step explanation:
So the area of the room is 14*12. So the area of the room is 168ft^2. So now we multiply it by .72 because it costs .72 per square foot. So the cost is 120.96
To calculate the cost of installing wallpaper around a rectangular room measuring 14 feet by 12 feet, you first find the perimeter, which is 52 feet, then multiply by the cost per foot, $0.72, leading to a total cost of $37.44.
The formula for the perimeter P of a rectangle is P = 2(length + width). In this case, the length is 14 feet and the width is 12 feet.
P = 2(14 feet + 12 feet) = 2(26 feet) = 52 feet.
Now that we have the perimeter, we multiply it by the cost per foot of the wallpaper to find the total cost. The wallpaper costs $0.72 per foot.
Total cost = Perimeter × Cost per foot = 52 feet × $0.72/foot = $37.44.
Hence, it will cost $37.44 to install the wallpaper around the rectangular room that measures 14 feet by 12 feet.
Simplifying the expression and enter your answer below (15^1/5)^5
Answer:
15
Step-by-step explanation:
Via the law of exponents power of a power property we have:
[tex](a^b)^c=a^{bc}[/tex]
Therefore:
[tex](15^{1/5})^5=15^{\frac{1}{5} \times 5}=15^{\frac{5}{5}}=15^1=15[/tex]
~~~Brainliest Appreciated~~~
What are the coordinates of point c after the blue figure is rotated 180 degrees counterclockwise around the origin and translated 2 units to the right?
Answer:
(0, - 4 )
Step-by-step explanation:
under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ), hence
C(2, 4) → (- 2, - 4)
A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.
(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )
Answer:
(0, - 4 )
Step-by-step explanation: