Final answer:
To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.
Explanation:
The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.
To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.
The rabbit population in a certain area is 500% of last year's population. There are 900 rabbits this year. How many were there last year?
Answer:
180
Step-by-step explanation:
we got the same qustion and i just got this wrong
A box is in the shape of a right rectangular prism. The base of the box has an area of 15 square inches. The height of the box is 12 inches. What is the volume in cubic inches, of the box
Alicia cashed her paycheck and used half her earnings to take three friends to dinner. She spent $42.15 on dinner and she brought home more than $20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia's paycheck.
How does a reflection affect the properties of a two-dimensional figure ?
Therefore in two-dimensional figure reflection show mirror image of flipped
A reflection affect the properties of a two-dimensional figure.
What is the reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
In two dimensional figure reflection affects
and it is it gets mirrored or flipped.
Therefore in two-dimensional figure reflection show mirror image of flipped.
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Write the slope-intercept form of an equation of the line that passes through (2,-4) and (0,6)
we know that
the equation of the line in the slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope of the line
b is the y-intercept of the line
Let
[tex]A(2,-4)\\B(0,6)[/tex]
Step [tex]1[/tex]
Find the slope of the line AB
the slope between two pints is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
substitute the values
[tex]mAB=\frac{(6+4)}{(0-2)}[/tex]
[tex]mAB=\frac{(10)}{(-2)}[/tex]
[tex]mAB=-5[/tex]
with the slope m and the point B find the value of b
[tex]B(0,6)[/tex]
[tex]6=-5*0+b[/tex]
[tex]b=6[/tex]
Find the equation of the line
[tex]y=mx+b[/tex]
[tex]y=-5x+6[/tex]
therefore
the answer is
[tex]y=-5x+6[/tex]
The gear ratio describes the ratio of one gear's diameter to another gear in the same chain. The gear ratio between two specific gears is 3 to 2. If the diameter of the larger gear is 18 cm, what is the diameter of the smaller gear?
A. 24 cm B. 18 cm
C. 12 cm D. 6 cm
Rewrite the given expression in the form 2^u where u is a constant or an algebraic expression.
1/2^5 = ? (Put the answer in exponential notation.)
To rewrite 1/2^5 in exponential notation, remember that 1/2^5 is the same as 2^-5. Therefore, 1/2^5 = 2^-5.
Rewrite the given expression in the form 2u where u is a constant or an algebraic expression.
To rewrite 1/25 in exponential notation, we need to understand that 1/25 is the same as (2-1)5. Using the property of exponents, we can rewrite this as 2-5, where -5 is the new exponent.
Therefore, 1/25 = 2-5, where u = -5.
lugos and paschal each wrote an equation for the line that passes through (-3,2) and (6,8) lugos says the equation is y=2/3x+4 and paschal says the equation is 2x-3y=-12. who is correct? why do you say so?
I need desperate help
Greg is running a marathon while running he should drink 22 ounces of water per hour if he runs for 4 hours how much water should he drink
To determine how much water Greg should drink during his 4-hour marathon run, multiply the hourly water intake (22 ounces) by the number of hours (4), resulting in a total of 88 ounces of water.
The student asks about the amount of water Greg should drink while running a marathon for 4 hours, given that he should drink 22 ounces of water per hour. To calculate this, we simply multiply the amount of water he should drink per hour by the number of hours he will be running.
Multiply the amount of water needed per hour (22 ounces) by the total hours running (4 hours).
22 ounces/hour × 4 hours = 88 ounces.
Therefore, Greg should drink 88 ounces of water during his 4-hour marathon run.
What is the volume of a block of lead with a density of 11.4 grams per cubic centimeter and a mass of 456 grams?
40 cubic cm is the answer
Please help me!!! Zoom in on picture to read the other 2 questions. 1 questions if on 2 parts of the collage.
Ferris wheel is drawn on a coordinate plane so that the first car is located at the point (30,0). What are the coordinates of the first car after a rotation of 270° about the origin?
Answer:
1. option A is correct i.e., [tex]\(90^{\circ}[/tex].
2. option B is correct.
3. the coordinates of the car after a rotation of [tex]\(270^{\circ}[/tex] is (0,-30).
Step-by-step explanation:
1. The angle of rotation is [tex]\(90^{\circ}[/tex].
To calculate the angle of rotation we can use a protractor and measure the angle between two corresponding angles, using point C as a center.
2. Given: ΔPRS with coordinates P(-3,2), R(2,5) and S(0,0) is rotated through an angle of 270°, the new image will be as follows;
The formula for rotation through 270° is: (x,y) → (y,-x)
hence our image will be at point:
P(-3,2)→P'(2,3)
R(2,5)→R'(5,-2)
S(0,0)→S'(0,0)
from the above, the approximate image will be option B.
3. Given: Ferris wheel is drawn on a coordinate plane at the point P(30,0). The coordinates of the car after a rotation of [tex]\(270^{\circ}[/tex] is (0,-30).
Because the formula for rotation through 270° is: (x,y) → (y,-x).
So, point P(30,0)→P'(0,-30).
Matt has a quiz every 6th day of class, and Meg has a quiz every 3rd day of class. When will they have a quiz on the same day?
The correct answer is:
The 6th day.
Explanation:
To solve this, we find the least common multiple (LCM) of 3 and 6. We find the prime factorization of each number:
3 = 3×1
6 = 2×3
We multiply the common factor, 3, by the uncommon factors, 2 and 1:
3×2×1 = 6
The LCM is 6; this means they will both have a quiz on the 6th day.
A biologist wants to estimate the median width of over 200 oak trees in a forest. Ten trees were selected at random, and their widths, in centimeters, were recorded. 63, 59, 12, 43, 71, 35, 28, 52, 47, 26 What is the estimated median width of all oak trees in the forest? Enter your answer in the box.
Answer:
45
Step-by-step explanation:
The estimated median width of all oak trees in the forest is 45 centimeters.
How to calculate the median width?
To estimate the median width of all oak trees in the forest, we can use the sample of ten trees that were selected at random.
First, we need to order the sample from smallest to largest:
12, 26, 28, 35, 43, 47, 52, 59, 63, 71
The median is the middle value in the ordered list. In this case, there are ten numbers in the list, so the median is the average of the fifth and sixth numbers:
median = (43 + 47) / 2 = 45
Therefore, the estimated median width of all oak trees in the forest is 45 centimeters.
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If RS//MN ,then the value of a is
Which expression best estimates
How do you calculate the volume of a cone when given the height and diameter? Describe the steps used to solve.
First find the radius by taking half the diameter. Use the radius to find the base area by using the formula for the area of a circle. Find the product of the base area and height, and then take one-third of the product.
Answer:
Step-by-step explanation:
First find the radius by taking half the diameter. Use the radius to find the base area by using the formula for the area of a circle. Find the product of the base area and height, and then take one-third of the product.
How many sides does a regular polygon have if each exterior angle has a measure of 15 degrees? (Show work!!)
If you work for an hourly wage, your gross pay is a function of the number of hours that you work. If you earn $8 per hour, complete the following table:
Number of Hours
0
3
5
7
10
12
Gross Pay
If you were to plot the ordered pairs on a set of axes, in which quadrant would the domain and range of the function lie?
a.
8, 16, 24, 32, 40, 48; Quadrant I
b.
0, 24, 40, 56, 80, 96; Quadrant II
c.
8, 16, 24, 32, 40, 48; Quadrant II
d.
0, 24, 40, 56, 80, 96; Quadrant I
Answer:
D is the answer
Step-by-step explanation:
yw :)
the expression (x+a)(x+b) cannot be written as
The expression (x+a)(x+b) can not be written as a(x+b) + x(x+b). Therefore, option A is the correct answer.
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Using distributive property, we get
x(x+b)+a(x+b)
= x²+bx+ax+ab
= x²+x(a+b)+ab
The expression (x+a)(x+b) can not be written as a(x+b) + x(x+b). Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
The expression (x+a)(x+b) can not be written as
a) a(x+b) + x(x+b)
b) x² + (a+b)x + ab
c) x² + abx + ab
d) x(x+a) + b (x+a)
The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimeters. The diameter is 5 millimeters. Which choice is the best approximation of the total surface are of the capsule? Usa 3.14 to approximate pi.
Answer 236 square millimeters
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Theoretical probability is the same thing as experimental probability.
True
False
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ False!
✧･ﾟ: *✧･ﾟ:* Explanation: *:･ﾟ✧*:･ﾟ✧
❗ The answer is false because in Theoretical Probability you can not get the exact answer of what it would land on unless it was rigged because the answer will always be random like the Theoretical Probability may say they lose every time but they get that 1/100 chance and win so they can both be different depending on the vary of luck!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Leslie need 48 ounces of charcoal. How many pounds should she buy?
The 48 ounces of charcoal will be equal to 2.5 pounds
What is ounces?The ounce is the name of several different units of mass, weight or volume and is derived almost unchanged from the uncia.
We have 48 ounces of charcoal.
We know the conversion that:
[tex]\rm 1 \ Ounce= 0.0625\ Pounds[/tex]
[tex]\rm 48\ ounce=48\times 0.0625\time \ Pounds=2.5\ pounds[/tex]
So the 48 ounces of charcoal will be equal to 2.5 pounds.
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Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
East=X, West=-X, North=Y, South=-Y
Answer:3.623 miles
Step-by-step explanation:
Given
School is 20 blocks east and 12 blocks south
and mall is 10 blocks north and 7 block west.
There is a road directly connecting the school and the mall.
So distance between school and the mall is
[tex]=\sqrt{(20+12)^2+(10+7)^2}[/tex]
[tex]=\sqrt{32^2+17^2}[/tex]
[tex]=\sqrt{1024+289}[/tex]
=36.23 blocks
And 1 block is 0.1 mile so 36.23 blocks is 3.623 miles
In the diagram below, AC is perpendicular to BD. Find X.
Answer: The correct option is
(D) 17.5.
Step-by-step explanation: Given that in the diagram shown, AC is perpendicular to BD, where
[tex]m\angle BEC=(6x-15)^\circ,\\\\m\angle AED=(3y+12)^\circ.[/tex]
We are to find the value of x.
Since AC is perpendicular to BD and they are intersecting each other at the point E.
So, all the four angles made by this intersection are right angles.
That is, angle BEC is also a right angle.
Therefore, we get
[tex]m\angle BEC=90^circ\\\\\Rightarrow (6x-15)^\circ=90^\circ\\\\\Rightarrow 6x-15=90\\\\\Rightarrow 6x=105\\\\\Rightarrow x=\dfrac{105}{6}\\\\\Rightarrow x=17.5.[/tex]
Thus, the required value of x is 17.5.
Option (D) is CORRECT.
A teacher would like to estimate the percentage of her students who play chess. Which method should the teacher use to select the sample?
A select every other student in her classes until she has selected a total of 30 students
B select all students who are currently in the chess club
C use a computer to randomly select 30 student IDs from all her students
D use a computer to randomly select 30 student IDs from all students
Answer:
the answer is C.
Step-by-step explanation:
since shes trying to find HER students D is wrong and since she needs a random amout of kids it doesnt make sense to choose a and since shes trying to find the percentage of her kids that play chess it would make sense to choose ppl who are already in the chess club.
What is these answer
The formula to find the perimeter of a regular polygon is P = n × s. This means that you multiply the number of sides times the length of each side. Which polygon will have the greatest perimeter? A. a hexagon with each side 3 cm B. a square with each side 5 cm C. a triangle with each side 7 cm D. a pentagon with each side 4 cm
A cylinder has a radius of 4 feet and a height of 3 feet. What is the volume of the cylinder to the nearest tenth 3. Use 3.14 to approximate π
Answer:
70Pi ft2
Step-by-step explanation:
ed2020
how can you tell if radicals are like radicals
Answer and step-by-step explanation:
Like radicals have the same root (square root, cubed root, etc.) and the same expression under the radical sign.
In order to determine if two radicals are like, simplify both and then check both the root and the expression under the radical sign.