The area of the circle grows by a factor of 9, and the actual area is 360
How to determine the new area?The given parameters are:
Old area = 40
Scale factor = 3
When the circle is dilated, the new area becomes
New area = Old * (Scale factor)^2
Substitute 3 for scale factor
New area = Old * 3^2
Evaluate the exponent
New area = Old * 9
This means that the area of the circle grows by a factor of 9, and the actual area is:
New area = 40 * 9 = 360
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1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.
We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.
We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.
The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.
Steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.
We need to explain how the distance formula and slope formula
are used to classify various quadrilaterals and triangles.
Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.Now, we use slope to find the angles i.e. If:
The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each otherUse the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachTo learn more about coordinate geometry visit:
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Solve each equation.
1. x+6=4
2.x- -4 = -6
3.2(x-1)=-200
4.2x+-3=-23
Step-by-step explanation:
1) x+6 =4
x. =4-6
x. =-2
2) x-(-4) =-6
x+ 4. =-6
x. =-6-4
x. =-10
3)2(x-1)=-200
2x-2 =-200
2x. = -200+2
2x. = -198
x. = -198/2
x. = -99
4)2x+(-3) =-23
2x-3. =-23
2x. =-23+3
2x. =-20
x. =-20/2
x. = -10
Which type of angle is < 3 ?
Answer: C
Step-by-step explanation:
See attached image.
Question 19 of 25
5x
x²-11x
= 1. Solve for x.
4
O A. X = 16
OB. x= 3
O C. x = 6
OD. x = 22
Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3
Factorizing the quadratic equationQuadratic equations are equation that has degree of 3. Given the following equation;
5x²-11x = 1
Equate to zero
5x²-11x - 1 = 0
Find the solution using quadratic solution
[tex]x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3[/tex]
Hence the value of x from the quadratic equation is 3
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Write an inequality for which 3, -4 and 2,300 are solutions
Answer:
2x < 600
Step-by-step explanation:
4.9t+0.3=5.6t+0.72 I need help on my work lol
The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].
Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.
Subtract 4.9t from both sides
[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.
Subtract 0.72 from both sides
[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42
Divide both sides by 0.7
[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6
Use ruler and compasses to bisect line AB.
Step-by-step explanation:
open ur compass more than half of the line and draw arc from both end. connect the line from 2 point of from the two arc
The number of slugs in a garden t days from now is p, where
Po= 100
Pt+1= 1.06pt
ork out the number of slugs in the garden 3 days from now.
Answer:
..........
..........
....
x
i
an
Answer:
119.1
Step-by-step explanation:
Pt+1=1.06x100
P3=106^3x100
=119.1016
You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
magpakailanman
[tex]\pink{\rule{1pt}{999999pt}}[/tex]
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)
The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.
Her friend Ronan's house is due north of her house.
After showing him the new scooter she went to the library which is due west from rocks house.
while returning back she drove 17km diagonally to her house.
By Pythagoras' theorem
|AC|^2 = |AB|^2 + |BC|^2
Here we can assume that
AB = The distance between rhea and her friend's house.
BC = The distance of the library from rocks house.
The triplet of the 17 would be (8, 15, 17)
So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.
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What is the slope of the line that passes through the points (1,3) and (5, -2)?
Answer: A. - 5/4
Step-by-step explanation:
m = y2-y1/x2-x1
m=3+2/1-5
m=5/-4
Suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2.
create a simulation to estimate the probability of pulling a gold marble. assume you put the marble back in the bag each time you pull one out. make sure to run the simulation enough times to be confident in your final result.
is negative 108.8 rational?
The number -108.8 is a rational number
How to determine if the number is rational?The number is given as:
negative 108.8
Rewrite properly as:
-108.8
Rational number have terminating decimals, and they can be represented as fractions.
The fraction equivalent of -108.8 is -1088/10
Hence, the number -108.8 is a rational number
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A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring.
The conclusion that can be drawn from this graph on the long-run frequency of 100 rolls is The long-run frequency of rolling a 3 appears to be about 0.17.
What does the graph show?At the 0.17 probability, the proportion of 3s calculated levels off from around the 40th roll to the 100th roll.
This means that the long-run frequency of rolling a 3 is around 0.17 because this was the probability seen for most of the rolls over time.
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what is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
Answer:
45
Step-by-step explanation:
median is the middle number after arranging a set of numbers in ascending or descending order.
let's arrange the set of numbers above in ascending order
10, 10, 20, 30, 30, 40 50, 60, 70, 80, 90, 110
since there are 12 digits in total, count out five digits starting from extreme left and also count out five digits starting from extreme right.
the two numbers left in the middle are 40 and 50.
median 40+50/2 = 90/2= 45
what is the answer to 54785 plus 43543546546546
Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?
consider the given figure
Step-by-step explanation:
mark me brainlist please!!
the answer is A
Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?
Answer:
14,820
Step-by-step explanation:
A year has 52 weeks. 285 x 52 = 14820
Answer:
$14820
Step-by-step explanation:
There are 52 weeks in a year. Therefore 285 x 52 = 14820
The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?
Answer:
12
Step-by-step explanation:
3/(22 + 3) voted for athelete
multiply everything by 4 to get fraction over 100
12/(88 + 12) voted for athelete
that means 12 percent voted for athelete
Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]
The value of x in the given right triangle is approximately 7.14
How to find unknown side in a right triangle?Hypotenuse = 10opposite = xAdjacent = 7Hypotenuse² = opposite² + adjacent ²
10² = x² + 7²
100 = x² + 49
100 - 49 = x²
51 = x²
x = √51
x = 7.14142842854284
Approximately,
x = 7.14
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The function h = -16t² + 1000 gives an object's height, h, in feet at t seconds.
When will the object be 128 feet above the ground?
At approximately___
seconds.
If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the building how tall is the building?
Answer:
Formulate
Based on the given conditions, formulate:
[tex] \sqrt{3 {9}^{2} } - 3 {3}^{2} [/tex]
Evaluate
Evaluate the equation/expression:
20.78461
SO THE ANSWER IS 20.78461
Answer:
20.78 feet
Step-by-step explanation:
[tex]39^{2} =h^{2} +33^{2} \\1521= h^{2} +1089\\h^{2}= 1521-1089\\h^{2} =432h= 20.78[/tex]
The Algebra Club has decided to rent a convention center for their annual Algebra Gala. The cost for the rental will be split evenly among the attendees, which means that the price per person varies inversely with the number of people attending.
If 25 people attend, the cost will be $30 per person.
How many people would need to attend to get the cost under $20 per person?
A) 28
B) 38
C) 48
D) 58
Which statements are true about the solution 2< x -7
First one to give CORRECT answer within 5 minutes gets-
12 points
Brainlist
Answers:
x > 9
Graph has open circle
Arrow points to the right
======================================
Reason:
Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9
The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.
We shade to the right due to the "greater than"
This visually shows all values larger than 9.
Graph a line that contains the point (6, -5) and has a slope of -2/3.
We know that the equation of the line is in the form [tex]y=-\frac{2}{3}x+b[/tex]. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.
[tex]-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1[/tex]
Hence, the equation of the line is [tex]y=-\frac{2}{3}x-1[/tex], and its graph looks something like follows.
Step by Step Explanation:
The graph of which of the following will be perpendicular to the graph of y = 2x – 4? A. 2x + y = 4 B. 4x – 2y = 4 C. y = –2x + 8 D. 2x + 4y = 1 Please select the best answer from the choices provided
200 Points !!!!!!
The linear function that has a graph perpendicular to y = 2x – 4 is given by:
D. 2x + 4y = 1
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2} = -0.5[/tex]
Hence option D is correct, as:
2x + 4y = 1
4y = -2x + 1
y = -0.5x + 0.25
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The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.
Answer:
59.1 feet
Step-by-step explanation:
The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.
C=2πr
C=2π(9.4)
C=18.8π feet <-- this is the exact answer
C=59.1 feet
Please help, sigma notations please big project 100 points
Answer:
I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )
Step-by-step explanation:
[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]
2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]
3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]
4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]
5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]
6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]
7. The answer should be: [tex]3B_{\left(i\right)}[/tex]
Hope this helps...
A. 3/5
B. 3/10
C. 1/5
D. 1/2