Figure F is a scale image of figure E as shown. Enter the scale factor applied to figure E to produce figure F.
Answers
Step-by-step explanation:
that means that there is one scale factor for all sides of the triangles.
so,
2 × f = 14
f = 14/2 = 7
and to control, this has to work also for the other given side :
3 × 7 = 21
correct.
so, the scaling factor to get from E to F is 7.
Related Questions
Write the equation of the line that passes through the point 2,-1 and has a slope of -3
Answers
Answer:
-3
Step-by-step explanation:
-3 is your answer
helppppppppppppppppppppppppp
Answers
Answer:
Radius: 8
Circumference: 50.27
πr^2 = Area of circle
201.06 = πr^2
divide by pi
201.06 / π = 63.9993857161 = 64
64 = r^2
Square root both sides to get radius.
\(\sqrt{64}\) = 8
r = 8
Circumference = π x diameter
Diameter = 2 x radius
Circumference = π x 16 = 50.2654824574 = 50.27
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
Answers
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
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M/6-7=2/3 pls help plssssd
Answers
Step-by-step explanation:
M/6-7=2/3
M/6=2/3+7
M=23/3×6
M=23×2=46
kelly bought 3 movie tickets and spent $39.60. each ticket cost the same amount. which equation can be used to solve for p, the amount each ticket cost?
a. 3+p= 39.60
b. p-3= 39.60
c. 39.60=30
d. 39.60 = p/3
Answers
Answer:
It's D
Step-by-step explanation:
since kelly bought three tickets, you divide by three to find the cost of each individual ticket
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. Assume that the population standard deviation for Compound 1 is 4414 miles, while the population standard deviation for Compound 2 is 2368 miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
Answers
Answer:
The margin of error is of 623.2016.
The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. The population standard deviation for Compound 1 is 4414 miles.
This means that \(\mu_1 = 37866, s_1 = \frac{4414}{\sqrt{243}} = 283.16\)
A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. The population standard deviation for Compound 2 is 2368 miles.
This means that \(\mu_2 = 45789, s_2 = \frac{2368}{\sqrt{268}} = 144.65\)
Distribution of the difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.
The mean is:
\(\mu = \mu_1 - \mu_2 = 37866 - 45789 = -7923\)
The standard deviation is:
\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{283.16^2 + 144.64^2} = 317.96\)
Confidence interval:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = zs\)
\(M = 1.96*317.96 = 623.2016\)
The margin of error is of 623.2016.
The lower end of the interval is the sample mean subtracted by M. So it is -7923 - 623.2016 = -8546.2016
The upper end of the interval is the sample mean added to M. So it is -7923 + 623.2016 = -7299.7984
The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).
Answer For Brainiest!
What 3D Objects' do EACH Net Make?
Answers
Looking at the 4th net, we see it has what seems to be 4 squares in a line. And two of them are each one united into another square.
Then, when we join the left side of the left square and the right side of the right square, we obtain a 3D object with 4 square faces, and 2 empty faces also in the form of a square.
After that, we can fold down the upper square face, and fold up the other one.
We will get the following 3D object, that is a cube:
Therefore, the 4th net makes a cube.
Write 3•3•3•3•3•3•3•3•3 with exponential notation
Answers
Answer:
3^9 is the answer
Step-by-step explanation:
count the number of 3. the three is the base and the number of 3s are the number you put as the flying number
Answer:
The answer you chose was the result of 3 times 3 nine times. The answer is 3⁹, because 3 is multiplied by itself 9 times.
Maria purchased a car for $8599. If the rate of depreciation is 2.5%, what will the value of the car be after four years? Round your answer to the nearest hundredth.
Answers
Answer:
$ 7770.81
Step-by-step explanation:
2.5 % each year means the car retains 97.5 % ( or .975 in decimal) of its value per year
8599 ( .975) ^4 = $ 7770.81
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
Answers
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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Which expression results in a sum or difference of
the answer choices are
Answers
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
the answer to this question
Answers
Answer: c
Step-by-step explanation:
Find the value of X.
Answers
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
<95141404393>
If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
Answers
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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Help asap! Am=6 MB=4 AN=8
Answers
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
triangle angle- sum theorem
help!!!
Answers
9514 1404 393
Answer:
s = 2°
Step-by-step explanation:
The triangle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to write an equation that can be solved for s.
s +38° +34s +72° = 180°
35s = 70° . . . . . . . . . . . . . subtract 110°
s = 2° . . . . . . . . . . . . . divide by 35
_____
Check
The triangle angle measures are (s+38°) = 40°, 34s = 68°, and 72°. These total 180°, as they should.
A house casts a shadow that is 12 feet tall. A woman who is 5.5 feet tall casts a shadow that is 3 feet tall.
What is the height of the house?
A. 22 ft.
B. 55 ft.
C. 5.5 ft.
D.220 ft.
Answers
To find how many feet of shadow are cast from a one foot shadow, divide 5.5 by 3. This should give you about 1.83 ft of shadow per foot. Now, multiply the 12 foot shadow by 1.83 ft to get about 22 ft.
Express 17 as a ratio of 68
Answers
Answer:
is it 1:4 or am I missing something
Step-by-step explanation:
1493600÷8 i need full steps
Answers
When 1,493,600 is divided by 8 the quotient is 186,700.
To divide 1,493,600 by 8, you can follow these steps:
We have to write down the dividend (1,493,600) and the divisor (8).
Now start with the largest place value in the dividend (the leftmost digit) and perform the division.
Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.
Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.
Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.
Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.
Divide 9 by 8. The quotient is 1, and the remainder is 1.
Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.
Divide 13 by 8. The quotient is 1, and the remainder is 5.
Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.
Divide 56 by 8. The quotient is 7, and there is no remainder.
Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.
Divide 70 by 8. The quotient is 8, and there is no remainder.
There are no more digits to bring down, and the division is complete.
The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.
Therefore, the result of 1,493,600 ÷ 8 is 186,700.
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-
1. Find all critical numbers for the function: f(x) = (9 - x2)3/5
A. {0}
B. {-3,3}
C. {3}
D. {-3,0,3}
Answers
Answer:
its easy
Step-by-step explanation:
What is the percent of 1 - 3√(5/35) ?
Answers
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
how much is an 18% tip on a 14$ lunch?
Answers
(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Last one will give brainly to who answers fast +++++++
\( \sqrt{5x - 4} = - 6\)
Answers
Answer:
the answer I got is 8...........
![Last one will give brainly to who answers fast +++++++[tex] \sqrt{5x - 4} = - 6[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/vuxwidCm30wOsS1gQ5JjS8WyjtF2FjNW.jpeg)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
\( \sqrt{5x - 4} = - 6\)\(5x - 4 = { - 6}^{2} \)\(5x - 4 = 36\)\(5x = 36 + 4\)\(5x = 40\)\(x = 40 \div 5\)\(x = 8\)value of x = 8
Someone help quick please
Y=5+3x for x
Answers
For the equation Y=5+3x the solution for x is (y-5)/3=x.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is Y=5+3x
y equal to five plus three times of x
In the given equation x and y are the variables.
We have to solve for variable x.
Subtract 5 from both the sides
y-5=3x
Divide both sides by 3
(y-5)/3=x
Hence, for the equation Y=5+3x the solution for x is (y-5)/3=x.
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Algebra 2 help please!!!
Answers
Answer:
IMAGE 1: positively skewed because it is skewed more to the right
IMAGE 2: symmetric because, well, it's symmetric.
IMAGE 3: negatively skewed because it is skewed to the left.
Answer:
1. It is Skewed rightwards (Positively skewed)
2. Bell shaped (Symmetric)
3.Skewed Left (Negatively Skewed)
didn't realize the diagrams were three.... Hehe
POSITIVELY SKEWED
Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams. Assume that birth weight data are approximately bell-shaped. Part 1 of 3 (a) Estimate the number of newborns whose weight was less than 4171 grams. Approximately of the 732 newborns weighed less than 4171 grams. Part 2 of 3 (b) Estimate the number of newborns whose weight was greater than 1591 grams. Approximately of the 732 newborns weighed more than 1591 grams. Part 3 of 3 (c) Estimate the number of newborns whose weight was between 3311 and 5031 grams. Approximately of the 732 newborns weighed between 3311 and 5031 grams.
Answers
Answer:
a) 615
b) 715
c) 344
Step-by-step explanation:
According to the Question,
Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 gramsSince the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.Z = (x - mean)/standard deviation
Now,
For x = 4171, Z = (4171 - 3311)/860 = 1
P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.Next, multiply that by the sample size of 732.
Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171For part b, use the same method except x is now 1591.
Z = (1581 - 3311)/860 = -2
P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.For part c, we now need to get two Z scores, one for 3311 and another for 5031.
Z1 = (3311 - 3311)/860 = 0
Z2 = (5031 - 3311)/860= 2
P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772
approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answers
Answer:
Step-by-step explanation:
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answers
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3