1 Triangle MON is similar to triangle RST.
M
6 ft
N
R 1 AT
8 ft
10 ft
2Ft
S
Which proportion can be used to find the length of side RS in feet?
RS
ALE
8 1. 5
1. 5
6
B
8
RS
1. 5
8
CE
RS
6
8
D
1. 5
RS
Answers
The correct proportion used is (1.5/6) = (RS/8)
To find the length of side RS in triangle RST, given that triangle MON is similar to triangle RST, we can set up a proportion using the corresponding sides of the similar triangles. The given side lengths are:
Triangle MON: MN = 6 ft, MO = 1.5 ft
Triangle RST: ST = 8 ft
Since the triangles are similar, we have the proportion:
(MO/MN) = (RS/ST)
Substituting the given values, we get:
(1.5/6) = (RS/8)
Now, we can solve for RS:
1. Cross-multiply: 1.5 * 8 = 6 * RS
2. Simplify: 12 = 6 * RS
3. Divide by 6: RS = 2
So, the length of side RS in feet is 2. The correct proportion used is:
(1.5/6) = (RS/8)
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Related Questions
O is neither negative nor positive is it true or false?
True
False
Answers
.............true ?
Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?
Your answer:
if you do solve please make an explanation :)
Answers
Answer:
33.33%
Step-by-step explanation:
75*100=7500
7500/225=33.3333333
I need yo solve y on this problem. 16x+9y-2x
Answers
Answer:
14x+9y
Step-by-step explanation:
Combine Like terms. 16x-2x=14x
dont forget the 9y
so 14x+9y
The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
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2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
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x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
Answers
what do i choose? because all i see is a lot of numbers and words lol
in the inpatient setting, a cpt code would be assigned by the hospital for a procedure code.
Answers
In the inpatient setting, a CPT code (Current Procedural Terminology) would typically be assigned by the hospital for a procedure code to accurately bill for the services provided during the patient's stay.
This code is used to describe the specific medical service or procedure performed, such as a surgery or diagnostic test. It is important for hospitals to accurately assign CPT codes to ensure proper billing and reimbursement for the services provided. Additionally, the use of standardized CPT codes helps to facilitate communication and record-keeping across different healthcare providers and facilities.
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Need help with number 28. Find the specified roots of each number
Answers
Hello!
• To solve the roots ,we must factor the number, and ,count how many times its prime factors are repeated,.
,• If they are repeated at least equal to the root index, we ,can take this value out of the root,.
Let's follow these steps below:(a) the real third roots of 343Let's factorize 343 below:
\(\begin{gathered} 343\text{ | }7 \\ 49|7 \\ 7|7 \\ 1 \end{gathered}\)So, 343 can be written as 7³ = 7 * 7 * 7.
And as the index of this root is 3 we can cancel this exponent with the root, look:
\(\begin{gathered} \sqrt[3]{343}=\sqrt[3]{7^3}=7 \\ \\ \\ \end{gathered}\)(b) the real fifth roots of 1,024:I'll solve in the same way, first factorizing 1,024:
\(\begin{gathered} 1024|2 \\ 512|2 \\ 256|2 \\ 128|2 \\ 64|2 \\ 32|2 \\ 16|2 \\ 8|2 \\ 4|2 \\ 2|2 \\ 1 \end{gathered}\)So, 1,024 can be written as 2^10.
But we can write it as 2^5 * 2^5. Doing the same step, we will have:
\(\sqrt[5]{1,024}=\sqrt[5]{2^5\cdot2^5}=2\cdot2=4\)(c) the real square roots of 25:Let's factorize 25:
\(\begin{gathered} 25|5 \\ 5|5 \\ 1 \end{gathered}\)So, 25 = 5².
Look as the exponent will be canceled with the index of the root:
\(\sqrt[2]{25}=\sqrt[2]{5^2}=5\)Final Answers:• (a), 7
,• (b), 4
,• (c) ,5
Two more than four times a number is the same as six more than twice the number. Find the number. 2
Answers
Answer:
Let n = the number
5x + 6 = 2x - 9
3x = -15
x = -5
Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answers
Answer:
\(A) (x+2)^{2} +(y-3)^{2} =72\)
Step-by-step explanation:
\(Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }\)
\(=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }\)
\(equation:\)
\((x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\\)
\((x+2)^{2}+(y-3)^{2} =72\)
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
\(r=\sqrt{(h-x)^{2} +(k-y)^{2} }\)
⇒ \(r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }\)
⇒ \(r=\sqrt{6^{2}+6^{2} }\)
⇒ \(r=\sqrt{72}\)
The formula of equation of circle is
\((x-h)^{2}+(y-k)^{2}=r^{2}\)
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ \((x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}\)
⇒ \((x+2)^{2}+(y-3)^{2}=72\)
Hence we can conclude that the equation represents a circle is option (A) \((x+2)^{2}+(y-3)^{2}=72\) is the correct answer.
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Determine the area that is bounded by the graphs of the following equations on the interval below. (Round your answer to three decimal places.) y =15/x, y = 5, 1 x 7 Determine the area that is bounded by the graphs of the following equations. (Round your answer to three decimal places.) y = -2x^2, y = x^3 - 3x
Answers
Let's determine the area that is bounded by the graphs of the following equations on the interval below. y = 15/x, y = 5, 1 ≤ x ≤ 7The graph of y = 15/x is given below:graph{y=15/x [-10, 10, -5, 5]}From the graph, we see that the area is bounded by the curves y = 15/x, y = 5, x = 1, and x = 7, and it looks like a trapezoid.
Let's determine the base of the trapezoid.Base of the trapezoid = (7) - (1) = 6Length of the upper base
= y
= 5Length of the lower base
= y
= 15/7Area of the trapezoid
= (1/2)(sum of the bases)(height)Area
= (1/2)(5 + 15/7)(6)
= 41.429 square units.Rounding to three decimal places,Area
= 41.429 square units.2. Let's determine the area that is bounded by the graphs of the following equations. y
= -2x², y
= x³ - 3xThe graph of y
= -2x² and y
= x³ - 3x is given below:graph{y
=x^3-3x [-10, 10, -5, 5]}graph{y
=-2x^2 [-10, 10, -5, 5]}The area is bounded by the curves y
= -2x², y
= x³ - 3x, and it looks like two graphs intersecting at x = 0.
From the graph, we see that the curve y
= x³ - 3x is above the curve y
= -2x². The area is therefore given by:Area
= integral of [(x³ - 3x) - (-2x²)] dx, where x varies from 0 to 1.Area
= [(x⁴/4 - 3x²/2) - (-2x³/3)] from 0 to 1.Area
= [(1⁴/4 - 3(1)²/2) - (-2(1)³/3)] - [(0⁴/4 - 3(0)²/2) - (-2(0)³/3)]Area
= 7/12 square unitsTherefore, the total area is given by:Area
= 1/3 + 7/12Area = 5/12 square units.Rounding to three decimal places,Area
= 0.417 square units.
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Write an inequality and solve for the variable (answers shown in pic) Megan needs to buy some food for a family picnic she can spend no more than $32 she already spent $4 on rolls of ham costs $7 per pound how many pounds of ham could she buy
Answers
Answer:
Megan could buy 128 rolls of ham
In the u.s., shoe sizes are defined differently for men and women, but in europe, both genders use the same shoe size scale. the accompanying histogram shows the european shoe sizes of 269 male and female college students, converted from their reported u.s. shoe sizes. what might be the problem with either the standard deviation or the iqr as a measure of spread?
Answers
The problem with using the mean or median as a measure of center is that the distribution of the data is bimodal, indicating that there are two distinct groups of shoe sizes. The correct answer is A
The histogram shows that one group has shoe sizes from 38 to 40, while the other group has shoe sizes from 44 to 49. This suggests that the two groups have roughly the same mean shoe size, but different distributions.
Therefore, the mean or median are not good measures of center because they do not accurately reflect the underlying distribution of the data. It would be more useful to report the modes instead, which represent the most frequent shoe sizes in the data.
Your question is incomplete but most probably your full question is
In the U.S., shoe sizes are defined differently for men and women, but in Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of center?
a. The distribution is bimodal, so it is more useful to report the modes than the mean or median.
b. The distribution does not have any modes, because it is uniform.
c. The distribution has one mode from 44 to 49. This is due to the students having noughly the same mean shoe size.
d. The distribution has one mode from 38 to 40. This is due to the students having noughly the same mean shoe size.
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12. Four less than the quotient of a number and 3 is -10.
Answers
Answer:
n/3 - 4 = 10
Step-by-step explanation:
hope this helps
The sum of the ages of a father and son is 56. Four years ago the father was 3 times as old as the son. Find the present age of each.
Answers
Answer:
Son is 16
father is 40
Step-by-step explanation:
Table function rule of y=4x+1
Answers
Answer:
y=5
Step-by-step explanation:
y equals 5 because x is 1 when you get it alone
equals 20+20=40 Expression value is
Answers
Answer:
expression is 20. +20...
I also don't understand what the 's' is in this problem.
Solve the systemm { x1 -x2 +4x3 = -4
6x1 -5x2 +7x3 = -5
3x1 -39x3 = 45 }
[x1] = [ __ ] [ __] [x2] = [ __ ] +s [ __] [x3] = [ __ ] [ __]
Answers
's' and 't' represent free parameters that can take on any real values.
In the given system of equations:
x1 - x2 + 4x3 = -4
6x1 - 5x2 + 7x3 = -5
3x1 - 39x3 = 45
To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:
Step 1: Write the augmented matrix for the system:
[1 -1 4 | -4]
[6 -5 7 | -5]
[3 0 -39 | 45]
Step 2: Perform row operations to transform the matrix into row-echelon form:
R2 = R2 - 6R1
R3 = R3 - 3R1
The updated matrix becomes:
[1 -1 4 | -4]
[0 1 -17 | 19]
[0 3 -51 | 57]
Step 3: Perform additional row operations to further simplify the matrix:
R3 = R3 - 3R2
The updated matrix becomes:
[1 -1 4 | -4]
[0 1 -17 | 19]
[0 0 0 | 0]
Step 4: Write the system of equations corresponding to the row-echelon form:
x1 - x2 + 4x3 = -4
x2 - 17x3 = 19
0 = 0
Step 5: Express the variables in terms of a parameter:
x1 = s
x2 = 19 + 17s
x3 = t
where s and t are parameters.
Therefore, the solution to the system is:
[x1] = [s]
[x2] = [19 + 17s]
[x3] = [t]
In the provided solution format:
[x1] = [s] []
[x2] = [19 + 17s] + s []
[x3] = [t] [__]
Here, 's' and 't' represent free parameters that can take on any real values.
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Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answers
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
I am ust typing this so it will let me post this But Please Help
Answers
Answer:
\( {4}^{3} = 64\)
Step-by-step explanation:
\( \frac{ {4}^{8} }{ {4}^{5} } = {4}^{3} \)
Subtract the numerator exponent from the denominator exponent.
\(8 - 5\)
help please! make sure to tell me the answer and an explanation!
Answers
Answer: 10
Step-by-step explanation:
So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.
Please make me brainliest
What is the circumference of the circle? Use 3.14 for .
r = 6.4 cm
© 20.096 cm
040.192 cm
0 200.96 cm
401.92 cm
Answers
Answer:
40.192 centimeters
Step-by-step explanation:
The circumference of a circle can be found using:
c= pi* diameter
First, we must find the diameter. The diameter of a circle is twice it’s radius.
d=2*radius
The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.
d=2*6.4
d=12.8
Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.
c=pi*diameter
c=pi*12.8
We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.
c=3.14*12.8
c=40.192
Use appropriate units: centimeters
c=40.192 centimeters
The circumference is 40.192 centimeters.
So the right answer is 40.192 cm
look at the attached picture
hope it will help you
Good luck on your assignment
PLEASE HELP (I WILL MARK YOU BRAINLIEST IF YOUR THE LUCKY ONE)
Answers
Answer:
27 is your answer hope it helps
How to plot 69, 88,94,73,78,90, and 68 in a box and whisker plot (ASAP) also find the 5 part summary
Answers
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:
Step 1: Arrange the data in ascending order:
68, 69, 73, 78, 88, 90, 94
Step 2: Find the five-number summary:
Minimum: The smallest value in the dataset, which is 68.
First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.
Median (Q2): The middle value of the dataset. In this case, it's 78.
Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.
Maximum: The largest value in the dataset, which is 94.
Step 3: Create the box and whisker plot:
Draw a number line with a range from the minimum (68) to the maximum (94).
Mark the first quartile (Q1) at 69.
Mark the median (Q2) at 78.
Mark the third quartile (Q3) at 90.
Draw a box from Q1 to Q3.
Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).
The resulting box and whisker plot for the given dataset would look like this:
|
94| ▄
| ╱ ╲
90| ╱ ╲
| ╱ ╲
88| ▇ ▂
| ▇ ▂
78| ▇ ▂
| ▇ ▂
73| ╱ ╲
| ╱ ╲
69| ▃ ▃
| ╱ ╲
68| ╱ ╲
|_________________________________
68 73 78 88 94
This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
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Rewrite (5)/(6)x+2=(7)/(8) so that is doesn't have any fractions. Don't use decimals in the answer.
Answers
The equation (5)/(6)x+2=(7)/(8) when rewritten without fraction has a representation of 40x + 96 = 42
Rewriting the equation without fractionGiven that we have the following
(5)/(6)x+2=(7)/(8)
When the brackets are removed, we have the following equation
5/6x + 2 = 7/8
Multiplying through the equation by 6
So, we have
6 * (5/6x + 2 = 7/8)
When the products are evaluated, we have
5x + 12 = 6 * 7/8
Multiplying through the equation by 8
So, we have
8 * (5x + 12 = 6 * 7/8)
When the products are evaluated, we have
40x + 96 = 42
Hence, the solution is 40x + 96 = 42
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Simplify the expression 2(2/5) + 2(-1/5)
Answers
Answer:
\(\frac{2}{5}\)
Step-by-step explanation:
2(\(\frac{2}{5}\) ) + 2(- \(\frac{1}{5}\) )
= \(\frac{4}{5}\) + (- \(\frac{2}{5}\) )
= \(\frac{4}{5}\) - \(\frac{2}{5}\)
= \(\frac{2}{5}\)
Please, let me get the answers in 15 mins. Explain what a
strategy canvas is and how it is used
Answers
A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.
It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.
The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.
The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.
To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.
A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.
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What is the solution to the equation -5x2 -1 =-46
Answers
Solution to the equation is 3 and -3
What is quadratic equation ?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The important condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term (a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written.
Given , \(-5x^2-1=- 46\)
Now, \(5x^2=45\)
⇒ \(x^2=9\\\)
⇒ \(x=3 , -3\)
Hence, solution to the equation is 3 and -3
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Tell whether the ordered pair is a solution to the equation.
(1, 3); 4x – 3y = -5
Answers
Answer:
Yes
Step-by-step explanation:
4(1)-3(3)=-5
4-9=-5
-5=-5
Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtime her is her straight time pay?
Answers
Select the correct answer.
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A.
-28.47° latitude and 7.35° longitude
B.
-28.47° latitude and -7.35° longitude
C.
28.47° latitude and -7.35° longitude
D.
38.34° latitude and 220.95° longitude
E.
-38.34° latitude and 220.95° longitude
Answers
Answer: C 28.47° latitude and -7.35° longitude
Step-by-step explanation:
(This question may have more than one solution.) Let C be a fixed n × n matrix. Determine whether the following are linear
operators on R^X":
(a) L(A) = 1 - 1
(6) L(A) = 1 + 17
(c) L(1) = C1 + AC
(d) L(1) = C°1
(c) L(1) = 1?C
Answers
Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.
b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.
c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).
d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).
e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).
In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
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