Answer:
48
Step-by-step explanation:
In similar polygons, every side of one polygon is a certain number of times bigger than the corresponding side of the other polygon. This number is the scale factor. Since the perimeter of each polygon is the sum of the lengths of the sides of that polygon, the perimeters also have the same scale factor that the sides do.
For example, if a triangle has 3 sides measuring 5 cm each and a similar triangle has 3 sides measuring 10 cm each, you see that each side of the second triangle is 2 times the length of the corresponding side of the first triangle. The scale factor from the smaller triangle to the larger triangle is 2. Now look at the perimeters. Since 5 + 5 + 5 = 15 and 10 + 10 + 10 = 30, the perimeters are 15 cm and 30 cm, and again, the perimeter of the second triangle is the same 2 times bigger than the perimeter of the first triangle.
Now look at your problem.
The perimeter of the smaller flag to the right is 16.
We see a side on the larger flag is 15, but we don't see the same side length on the smaller flag, so 15 does not help us.
Now we see that a side of the smaller flag measures 4 and the corresponding side of the larger flag measures 12. We divide the larger side length by the corresponding smaller side length to find the scale factor.
12/4 = 3
The scale factor from the smaller flag to the larger flag is 3. The perimeters also have the same scale factor of 3.
perimeter = 3 * 16 = 48
Answer: 48
Answer:
48
Step-by-step explanation:
Similar polygons have their sides in proportion, and we call the proportion between pairs of corresponding sides on two similar polygons the scale factor between them. We want to find the perimeter of the larger flag given the smaller one, and comparing the side with length 12 on the larger one with the side of length 4 on the smaller, we get a scale factor of 12 / 4 = 3.
This tells us that all the lengths on the larger flag are 3 times longer than the corresponding lengths on the smaller flag. What happens to the perimeter when we scale all of the lengths? Well, if every side gets multiplied by three, the sum of those sides will naturally be multiplied by 3, too.
Our large flag has a perimeter 3 times bigger than the smaller one, then, and 3 × 16 = 48.
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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At a school district there are 55 employees. If next year the number of employees increases by
20%, what will be the new amount of employees?
Answer:
66
Step-by-step explanation:
Discount
Walmart offers a shirt initially at $100. Then one week later, Walmart offers the shirt at 15% off. The
shirt still doesn't sell, so after another week, Walmart reduces its new price by 20%. How much does the
shirt cost now?
Choose one. 5 points
$68.00
$65.00
$69.00
$60.00
Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to \(\$68\).
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt \(= \$100\)
First discount \(= 15\%\)
Discount amount \(= 15\%\) of \(100\)
\(= \frac{15}{100} \times 100\\\\= \$15\)
Cost price after first discount \(= 100 - 15\)
\(= \$85\)
Second discount \(= 20\%\)
Discount amount \(= 20\%\) of \(85\)
\(= \frac{20}{100} \times 85\\\\= \$17\)
Cost price after first discount \(= 85 - 17\)
\(= \$68\)
Hence, cost price of shirt after giving discounts is equals to \(\$68\).
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if two intersecting lines are not perpendicular, then they form which two types of angles
392196 divided by 87(using king division)
Answer: The result of 392,196 divided by 87 is 4,508
A total of 450 tickets were sold for the school play. They were either adult tickets or students tickets. There were 50 fewer students tickets sold than adult tickets. How many adult tickets were sold?
9514 1404 393
Answer:
250
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-50 is the number of student tickets sold. The total number is ...
a + (a -50) = 450
2a = 500 . . . .simplify, add 50
a = 250 . . . . . divide by 2
250 adult tickets were sold.
Match the equation of the parabola with the appropriate description.
The given equation is:
\(y+2=2(x+15)^2\)Given a quadratic equation in vertex form:
\(\begin{gathered} y=a(x-h)^2+k \\ \text{ The vertex is given by the point }(h,k) \end{gathered}\)Rewrite the given equation in vertex form:
\(\begin{gathered} y=2(x+15)^2-2 \\ y=2(x-(-15))^2+(-2) \end{gathered}\)In this case, h = -15 and k = -2.
Therefore, the required vertex is (-15, -2)
solve the quadratic formula simpliest set for y^2-7y-9=0
The width of a rectangle is six meters less than the length. The perimeter is 56 meters. Find the length and width (in meters)
A professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below.Student No. Hours Spent Studying Total Points Earned1 25 182 10 133 70 534 40 435 85 686 45 287 70 688 60 589 35 2310 55 43Simple Regression - POINTS vs. HOURSDependent variable: POINTSIndependent variable: HOURSLinear model: Y=a +b*XCoefficientsLeast Squares Standard TParameter Estimate Error Statistics P-ValueIntercept 0.437798 5.9182 0.073948 o.9428Slope 0.829539 0.109474 7.57748 0.0001Analysis of VarianceSource Sum of Squares Df Mean Square F-Ratio P-ValueModel 3249.72 1 3249.72 57.42 0.0001Residual 452.779 8 56.5974 Total (Corr.) 3702.5 9The following questions are based on the information above.1) Write down the estimated regression equation that could be used to estimate the total points earned in the course given the hours spent studying.2) At the 0.05 level of significance, does hours spent studying have a significant effect on the total points earned in this course?3) Find the standard error of the estimate.4) Use the estimated regression to predict the points of a student who spent 50 hours studying for this course.5) If a student spent 120 hours studying for this course, would you feel comfortable to use your estimated regression equation to predict his points? Why?6) What's the R-squared?7) Do you believe your estimated regression equation would provide a good prediction of the points? Use R-squared from Question 8 to support your answer.
Answer:
1. y = 0.437798+0.829539X
2. there is a significant effect
3. 7.523
4. 41.914
5. no
6. 0.8777
Step-by-step explanation:
1.
from the regression output we have
intercept = 0.437798
slope = 0.829539
the regression line would therefore be =
y = 0.437798 + 0.829539X
2.
h0 = regression is not significant
h1: regression is significant
alpha = 0.05
p value = 0.0001
we compare p-value with alpha
0.0001<0.05
we therefore reject H0 and conclude that hours spent studying have significant effect on total points.
3.
To get standard error of estimate:
mean sum of squared error = MSE
MSE = 56.5974
= √56.5974
= 7.523
4.
points of a student who spent 50 hours studying. we calculate this from the regression line
y = 0.437798 + 0.829539X
x = 50
y = 0.437798 + 0.829539(50)
y = 41.914
5.
no I would not be comfortable using estimate regression equation to predict his point of a student spent 120 hours studying. this value is out of range of the predictor values (independent variables)
6. to get r² (r squared)
r² = SSR/SST
SSR = 3249.72
SST = 3702.5
r² = 3249.72/3702.5
= 0.8777
7.
we are supposed to solve question 7 from question 8. but no question 8 was given. hence no solution
Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?
The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.
To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:
30% of $86 = 0.3 x $86 = $25.80
Therefore, Pedro will need to pay $25.80 for shipping and handling.
Find X and Y in this figure
Answer:
x = 6
y= 24
Step-by-step explanation:
90+ (3y+18) = 180. reason [being co-interior angle
(15x+30)+10x = 180. reason [being co-interior angle
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
What is the value of x? Round to the nearest thousandth.
Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.
How to Find the Value of x Using the Tangent Ratio?The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:
tan (∅) = opposite/adjacent
We have the following:
Reference angle (∅) = 53 degrees
Length of opposite side = 21
Length of adjacent side = x
Plug in the values:
tan 53 = 21/x
x * tan 53 = 21
x = 21 / tan 53
x = 15.824
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Y=1200 x (1+0.3)^t
What is the initial value and what is the rate of growth
Answer:
initial value is 1200, rate of growth is 0.3
Step-by-step explanation:
A(t) = P(1+r)^t
p= initial value
r= rate of growth
A(t)= amount after
t= time
The initial value is 1200 and rate of growth is 0.3.
What is Exponential function?An exponential function is a mathematical function of the following form: f ( x ) = \(a^x\) where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e
Given:
Function: Y=1200 x \((1+0.3)^t\)
Now, We know using the Amount formula
A(t) = P\((1+r)^t\)
where, p= initial value
r= rate of growth
A(t)= amount after
t= time
Then, Comparing it to the given function we have
Initial Value = 1200
and, Rate of Growth = 0.3
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What is the exact value of sin (- 105)?
Answer:
Just put it into a calculator
0.97053528353
\(\text{Let's find the sine of -105 degrees}\\\text{Start by typing -105 into our calculator}\\\text{and click the sin button}\\\text{It gives us an irrational number, which is the sine of -105 degrees}\)
\(\rule{300}{1.7}\)
\(\text{The value is end less, it would take an eternity to type it here,}\\\text{ but I will round it to the nearest 100th}\)
\(\rule{300}{1.7}\)
\(\text{-0.97}\)
in her pocket, Kira has 2 red marbles, 2 green marbles, 2 blue marbles that are all the same size. If Kira picks a marble one marble from her pocket without looking, what is the probability that it could be red or green?
Answer:
2 in 3 chance of getting a red or green marble
Answer:
31% or 32% because there is three categories
A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area?
Answer:
180
Step-by-step explanation:
The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:
A=10×18
A=180
The area of the parallelogram is 180 square units
Winston is making a model of a statute using a scale where 2 inches equals 6 feet. If the actual height of
the statue is 20 feet, how tall is the model, in inches?
Answer:
6 2/3 inches
Step-by-step explanation:
2 inches / 6 feet * 20 feet = 6 2/3 inches
HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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In Exercises 33–36, determine if the specified linear transforma- tion is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1 |
If values prοvided then transfοrmatiοn οf vectοrs can be determined.
What is vectοr?In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.
Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.
Hοwever, in general:
A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.
A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.
Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.
If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.
Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.
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Complete question -
In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1
An audiologist is interested in the efficacy of three different types of hearing aids. He gathers three groups of hearing-impaired clients:
One group receives analog hearing aids, which convert sound waves into amplified electrical signals.
The second group receives digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them.
The third group receives cochlear implants. The results come in, and a statistician conducts an analysis of variance.
Required:
In this study what is the hearing aid type considered and What are the treatments (analog hearing aids, digital hearing aids, and cochlear implants) considered?
Answer:
Step-by-step explanation:
In the study, the following hearing aid types were considered:
1. The analog hearing aids
2. The digital hearing aids
3. Cochlear implants
The first two types do not require surgery while the last requires surgery.
The treatment considered are
1. Treatment of the first group of hearing impaired clients with analog hearing aids, which convert sound waves into amplified electrical signals.
2. Treatment of the second group of hearing impaired clients with digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them.
3. Treatment of the third group of hearing impaired clients with cochlear implants
helpppp me pleassse its one tiny easy little question I give brainliest !!! ^^ I would really appreciate it <3
Answer:
where's the question?
raise 10 to the 5th power, then divide k by the result
The desired expression would be k / 100,000.
Start with the value 10.
Raise 10 to the 5th power, which means multiplying it by itself five times: 10 * 10 * 10 * 10 * 10 = 100,000.Now, let's assume you have a variable called "k."Divide k by the result of 10^5, which is 100,000.The expression would be k / 100,000.In other words, you're taking the value of k and dividing it by 100,000, which is the result of raising 10 to the power of 5.
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If f(x) = 2x - 7, what is the equation for f(x)
URGENT PLEASE ANSWER!
*see attachment*
Answer:
a
Step-by-step explanation:
inverse ----> y = x
x = 2y - 7
2y = x + 7
y = (x+7)/2
what are two ratios that are equivalent to 12:13?
Answer:
24:26 and 36:39 are two ratios that are equivalent to 12:13.
Step-by-step explanation:
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
Numbers 1, and 3 please
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
__
3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7
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Calculator
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A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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