Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him. if colton's brother and sister are 8 feet apart, how far apart are colton and his younger sister? if necessary, round to the nearest tenth.
Answers
Colton is approximately 3.9 feet apart from his younger sister.
Pythagoras Theorem:
The statement o the Pythagoras theorem is, "if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. "
Then it can be written as,
BC² = AB² + AC².
Where,
AB is the base,
AC is the altitude (height), and
BC is the hypotenuse.
Given,
Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him.
And Colton's brother and sister are 8 feet apart.
Now, we need to find the distance between Colton and his younger sister.
Based on the given statement, we can draw their position like the following figure.
Here B represents the position of Colton, A represents the position of his older brother and C represents the position of his younger sister.
Now, we have to use the Pythagoras Theorem in order to solve it,
=> 8² = BC² + 7².
=> 64 = BC² + 49
=> 64 - 49 = BC²
=> BC² = 15
=> BC = √15
Therefore,
=> BC ≈ 3.9 feet
Therefore, the distance between Colden and his younger sister is approximately 3.9 feet.
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Related Questions
21. Find the y-coordinate of point M, the midpoint of AB, for A(-3, 3) and B(5, 7).
(Lesson 1-4)
A. -1
B. 1
C. 2
D. 5
Answers
Answer:
The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].
Step-by-step explanation:
Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.
If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:
[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].
In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].
In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].
can someone help, fasttt!
Answers
Answer:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Step-by-step explanation:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
Answers
The equation of the function after translation: [tex]$y=\frac{|x|}{4}$[/tex]
The y values advance toward the x-axis as they are multiplied by a value between 0 and 1. This is known as a vertical shrink and tends to flatten the graph.
When a base graph is multiplied by a particular factor larger than 1, vertical stretch happens. As a consequence, the graph is stretched outward while keeping the input values (or x). We anticipate that the y values in a function's graph will be further away from the x-axis when it is vertically extended.
The y-values are multiplied by a value between 0 and 1, which causes them to travel in the direction of the x-axis. This is known as a vertical shrink and tends to flatten the graph. A point (a,b) on the graph of y=f(x) y = f (x) shifts to a point (a,kb) (a, k b) on the graph of y=kf(x) y = k f (x) in both scenarios.
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I would love these answer please
Answers
The relation 1 is not a function, while the relation 2 is a function
How to determine if each relation is a function or not?For a relation to be a function, the following must be true:
Each y value in the function must have a unique x value
i.e. Each y value must have exactly one x value
Using the above as a guide, we have
Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4
Relation 2: This relation is a function, because each y value must have exactly one x value
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Which of the expressions shown evaluate to negative rational numbers? Select all that apply. Multiple select question. cross out A) ( − 9 ) 4 cross out B) ( − 4 5 ) 3 cross out C) ( − 3 8 ) 2 cross out D) 3 5 − 10 4 cross out E) ( 9 . 8 ) 2 − 10 2
Answers
The negative rational numbers are -9/ 4, -20/ 3 . Option A and B
What are rational numbers?A rational number can be defined as a number that is expressed as a fraction where both the numerator and the denominator are integers.
Examples of rational numbers are;
-1/ 2, 3/ 5, 9/ 2 -3/ 5
Given the expressions;
(-9)/ 4 = -9/4(-4 5) /3 = - 20/ 3(-3 8 ) /2 = -24/ 2 = -12(3 5) - 10/ 4 = 15 - 10/ 4 = 5/ 4(9. 8)2 - 10(2) = 72(2) - 20 = 144 - 20 = 124The rational numbers are -9/4 , -20/ 3 , 5/4
Thus, the negative rational numbers are -9/ 4, -20/ 3 . Option A and B
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what is 2 over 3 divide 1 over 4
Answers
Answer: 2 2/3
Step-by-step explanation:
2/3 x 4/1 multiply the numerators together and the denominators together
2 time 4/ 3 times 1= 8over 3
then simplfy it
so your answer will be 2 and 2/3
Decimal form: 2.666666666666…
Mixed number form: 2 2/3
1.4x 10 to the 3rd power
Answers
Answer:
1400x
Step-by-step explanation:
10^3 in scientific notation means to move the decimal 3 places to the right.
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
Answers
The transformed equation is:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
What is the equation?We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.
Remember that for a random function f(x), a shift of 2 units to the left is written as:
h(x) = f(x + 2).
Then, in this case, we can write:
F(x) = G(x + 2)
Replacing G(x), we can get the transformed equation:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
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if LM=MP, then M must be the midpoint of LP.
True or False?
Answers
Answer:
True
Step-by-step explanation:
dividing both sides by M you are left with L=P
Help me out, Im not understanding what my answer is
Answers
1) distribute what is outside of the brackets
in this case we would times (4m -3) by 6 and (4m + 11) by 4
24m - 18 + 6 = 16m + 44
2) get the like terms on the same side
24m - 16m = 44 + 18 - 6
(the signs of the terms you’re moving have to change)
3) calculate
8m = 56
56 / 8
m = 7
4x + 17 = 5x + 6 whats the answer
Answers
Answer:
x=11
Step-by-step explanation:
4x + 17 = 5x + 6
Solve for x
Subtract 4x from each side
4x-4x + 17 = 5x-4x + 6
17 = x+6
Subtract 6 from each side
17-6 = x+6-6
11 =x
Answer:
[tex] \sf \: x = 11[/tex]
Step-by-step explanation:
[tex] \sf \: 4x + 17 = 5x + 6[/tex]
Subtract both sides by 4x to remove 4x.
[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]
Subtract both sides by 6 to remove 6 .
[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]
I bought 2 books. One cost twice as much as the other. Together they cost £3.45.
How much did the dearer book cost?
Answers
We can express this as:
x + 2x = £3.45
We can solve for x with no additional work.
x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15
Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.
x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)
6/4 + 0.68
Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
Multiple choices accepted
Group of answer choices
1.2 + 0.68 should have equaled 8.0
1.2 + 0.68 should have equaled 0.80
6/4 should have been changed to 1.5
6/4 should have been changed to 1.24
PLEASE ANSWER FASTTT IM TIMED
Answers
Answer
1.2 + 0.68 should have equaled 0.80
Step-by-step explanation:
jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct
How to solve the problemTo find the correct answer, let's first evaluate the expression step by step:
1. 6/4 is equal to 1.5, not 1.2.
2. 1.5 + 0.68 equals 2.18, this is not 1.88.
So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.
Therefore, the correct calculation is 1.5 + 0.68 = 2.18.
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Unir las operaciones con el mismo resultado
(Ignoren los resultados)
Answers
2) 5 7) 23
3) 16 8) 8
4) -14 9) 6 + 6i square root of 2
5) -9 10) 5
11) -9
2.(2) square root of 38.2
Answer:
Step-by-step explanation:
1.
1) =7+(-4)=3
2) =13-8=5
3) =11+5=16
4) =-5-9=-14
5) =-8-1=-9
6) =-1-(-7)=6
7) =-10+13=3
8) =15-7=8
9) =-2+6=4
10) =9-4=5
11) =-1-8=-9
2.
[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]
The distance around track is 400 m if you take 14 more laps how much is total amount of distance
Answers
The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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Find the x-intercept and the y-intercept of the graph of the equation. 2x + 5y = 20
Answers
Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Answers
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Answers
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
-Mark As Brainliest If It Helped You Out
five less than twice a number is 7 algebraic expression
Answers
solved algebraically, X=6
1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
Answers
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
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Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? (5 points) negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answers
Answer:
D. Negative 1 over 12
Step-by-step explanation:
-1/3*1/4=-1/12
Hope this helps!
Please mark as brainliest if correct!
Answer:
-1/12, so D.
Step-by-step explanation:
-1/3(1/4)
-1/12
Please give brainliest, lol.
14. Name one pair of rays that are not opposite rays.
Answers
Answer:
nothing there
Step-by-step explanation:
The formula for simple interest is I=Prt.
a. Solve the formula for t.
t= ___
b. Use the new formula to find the value of t in the table.
The value of t in the table is____years.
Answers
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
Simple InterestFrom the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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Answers
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars how much would he get
Answers
Answer:
25,09
Step-by-step explanation:
So, you've converted 2000 Indian Rupee to 25.145200 US Dollar. We used 79.538043 International Currency Exchange Rate. We added the most popular Currencies and CryptoCurrencies for our Calculator. You can convert Indian Rupee to other currencies from the drop down list. Selling 2000 Indian Rupee you get 25.145200 US Dollar
Answer:
$ 26
Step-by-step explanation:
Current exchange rate : 1 ruppee / .013 dollar
2000 r / (1 r / .013 dollar) = 26 dollars
Roman earns $8.50 an hour as an intern at law firm. Usually he works 30 hours a week. This week however, there is a big case and he worked 47 hours. What is his gross pay for this week? (Standard overtime rules.)
Answers
The gross pay for this week after working overtime is $471.75.
What is the overtime pay rule?
The civil overtime vittles are contained in the Fair Labor norms Act, Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.
Usual earning Earning = $8.5 for 30 hours for a week
Overtime = 47 hours-30 =17 hours
Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week
Gross pay= ($8.5*30)+($12.75*17)
= 255 + 216.75
= 471.75.
The gross pay for this week after working overtime is $471.75.
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Square the binomial: (8y-5)^2
Answers
Answer:64y^2 −80y+25
Step-by-step explanation:
Solve Multi-Step Equations
X/5-9=1
Answers
Answer:
50
Step-by-step explanation:
[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]
what is the perimeter in terms of x? in other words find the pereimeter.
Answers
Answer:
Step-by-step explanation:
perimeter of rectangular: 2(a+b)
we know from the graph, assume that a = 2x b = x+ 3
so the perimeter (C) in terms of x is C = 2(2x + x +3) = 6x + 6
Which is greater explain the reasoning
Answers
Answer:
0.00000057652
Step-by-step explanation:
5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)
0.00000057652>0.0000005764 (65>64)
Therefore 0.00000057652 is greater.
Hope this helped! ^^
