Answer:
The side of square A'B'C'D' is 16 inches
Step-by-step explanation:
Given
Length of Square ABCD = 4 inches
Dilated with a scale factor of 4
Required
Length of square A'B'C'D'
To dilate something means to enlarge or reduce the size of that thing, depending on the scale factor.
Consider the following conditions
When the scale factor is greater than 1, then the size of new shape will be bigger than the dilated shapeWhen the scale factor is equal to 1, the new shape will maintain the same size as the dilated shapeWhen the scale factor is less than 1 but greater than 0, the size of new shape will be smaller than that of the dilated shape.Having mentioned the conditions of dilation, Here, the "thing being dilated" is a square (ABCD) on a scale factor of 4.
The scale factor is greater than 1; so, the new shape (A'B'C'D) will be bigger than the previous shape (ABCD)
Now, how is the new size calculated?
The new size is calculated by multiplying the length of the previous shape by its scale factor;
In other words,
New Length = Old Length * Scale Factor
Where
Old Length = Length of ABCD = 4 inches
Scale Factor = 4
By Substitution,
New Length = 4 inches * 4
New Length = 16 inches
Hence, the side of square A'B'C'D' is 16 inches
In the diagram, which pair of angles are vertical angles?
Answer:
16
Step-by-step explanation:
Can someone help with this? My daughter needs help with these.
Answer:
the missing side length for the shape with a perimeter of 43 m. is 12
Step-by-step explanation:
the missing side length for the shape with a perimeter of 62 ft is 16
the missing side length for the shape with a perimeter of 33 cm is 5
the missing side length for the shape with a perimeter of 68 in is 24
MRS.Bonnette's recipe for banana bread calls for 3 and one fourths cups of sugar. She wants to make 6.5 batches so that she has enough for everyone. How much sugar will she need
Answer:
[tex]21/ \frac {1}{8}[/tex]
Step-by-step explanation:
Since we're given that a batch requires 3 and one fourths cups of sugar, this is written as
[tex]3/ \frac {1}{4}[/tex]
If she wants 6.5 batches then we just cross multiply
1 batch=[tex]3/ \frac {1}{4}[/tex]
6.5 batches=x
X=[tex]6.5\times 3/ \frac {1}{4}[/tex]
X=[tex]6/ \frac {1}{2}\times 3/ \frac {1}{4}[/tex]
X=[tex]\frac {13}{2}\times \frac {13}{4}[/tex]
X=[tex]\frac {169}{8}[/tex]
X=[tex]21/ \frac {1}{8}[/tex]
What is the sum of the first 20 terms of a finite geometric series where a1 =3 and r = 3/2
Answer: The answer should be 6
Step-by-step explanation:
What is the radius of a circumference of 1,017.36 units
so the answer is 161.85.Hope this will help u...:-D
Answer:
hope it helps uh........
Please answer and tell me how you did it. Unfortunately, I would give more points but there's still more questions I need.
Answer:
y=3x
Step-by-step explanation:
if you look 3*3=9 5*3=15 8*3=24 and 10*3=30 so they are taking x*3
Answer:
Y=3x
Step-by-step explanation:
The way a function table works is how x has something done to it to equal y. So if x =4, and y=16
You could formulate the equation y= 4x.
So if we look at the patterns
3 to 9
5 to 15
8 to 24
10 to 30
Y is equal to x times 3.
3(x)·3=9(y)
3(x)=y
3x=y
The equation would be 3x=y
What is $112 in 8 hours
Answer:
A unit rate must have a denominator of one:
n/1
So you would get n by dividing 112 by 8: 112 divided by 8 = 14 so n = 14.
14/1 or $14 p/ hr
what is an equation that is a parabola with a vertex at(-1,-1)
Where does the money come from that is used to pay taxes?
Answer:
It comes from you :)
Answer:
The chief way the government gets the money it spends is through taxation. Figure 1 shows the relative sizes of sources of federal government tax revenues. Forty-five percent of federal tax revenue comes from individuals' personal income taxes. Another 39 percent comes from Social Security and Medicare withholdings.
Step-by-step explanation:
will give brainiest if answered first plz helppp!!!!
Answer:
The answer is b
Step-by-step explanation:
The answer is B.
Since I cant post it until I have 20 letters, lets start a conversation.
Hello. How is your day/night going so far?
what is this???
-7(1-4m)=13(2m-3
Step-by-step explanation:
-7+28m=26m-39
28m-26m=7-39
2m=-32
m=-16
A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. Find each probability.
P(at least 20 | prime number)
Answer:
For the prime numbers it's 15/50 or 3/10. For it to be at least 20 it's 31/50. For both to happen at the same time it's 7/15.
Step-by-step explanation:
The prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.
50-19=31 so 31/50
The probability of drawing a prime number that is at least 20 from a bucket of 50 numbers is 0.2, or 20%.
Explanation:In this problem, you are being asked to find the probability that a number selected at random from a pool of 50, numbered 1 to 50, is both at least 20 and a prime number. In this case, let's first consider the prime numbers between 1 and 50, of which there are 15 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47). However, we are looking for prime numbers that are also at least 20. This leaves us with 10 prime numbers (23, 29, 31, 37, 41, 43, 47).
With these 10 prime numbers, and 50 total numbers to choose from, the probability can thus be calculated by dividing the number of successful outcomes by the total number of outcomes. Therefore, the probability P(at least 20 | prime number) is 10/50 or 0.2. This means there is a 20% chance of randomly drawing a number from the bucket that is least 20 and also a prime number.
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Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared equals to 73squared. Which describes her solution?
Answer: Her solution is incorrect. The hypotenuse is 53 units
Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.
The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the other two sides.
In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;
73^2 = 28^2 + 45^2
5329 = 784 + 2025
5329 ≠ 2809
As we have determined, writing out the expression as
73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.
The correct solution is as follows;
AC^2 = AB^2 + BC^2
AC^2 = 28^2 + 45^2
AC^2 = 784 + 2025
AC^2 = 2809
Add the square root sign to both sides of the equation
AC = 53
Therefore, the hypotenuse is 53 units
It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?
Artie Works at Arby's. Last week he worked 22 hours. He makes $12.25 an hour. What was Artie's Gross Pay?
Can someone help me please
Answer:
$269.50 was Artie's gross pay
Step-by-step explanation:
12.25 (pay per hour) times 22 (hours worked that week) = $269.50 (gross pay)
The expanded form 700,000 + 10,000 + 3,000 + 9 represents the whole number
Answer:
713,009
Step-by-step explanation:
What is 3(2 1/2) in repeated addition? HELP ASAP PLEASE!!
Answer:
7.5 or 7 1/2
Step-by-step explanation:
Will give brainiest, please help, math 10 B unit 4 Lesson 3!
Answer:
Option choice A
or 3755.4 m2
Step-by-step explanation:
you multiply all the number together
Use elimination to solve the system of equation
4x+y=-2
3x+2y=6
Answer: x= -2,y=6
Step-by-step explanation:
4x+y= -2......equation 1
3x+2y=6.....equ2
Y= -2-4x........equation 3
Substitute equation 3 into 2
3x+2(-2-4x)=6
Open the bracket
3x+(-4-8x)=6
3x-4-8x=6
3x-8x=6+4
-5x=10
X= 10/-5
X= -2
Substitute for x in equation 1
4x+y= -2
4(-2)+y= -2
-8+y= -2
Y= -2+8
Y=6
Therefore, x= -2 & y=6
In November, Mr. Lee’s students read 50 books. In December, they read 40 books.
What is the percent increase or decrease in the number of books they read?
Answer:
20% decrease
Step-by-step explanation:
Start by dividing 40 by 50.
40/50 = 0.8
0.8 is the decimal form of 80%. So now we know that 40 is 80% of 50. This means that the remaining 20% is the difference between the books read in November and December.
Which equation represents the line that passes through the points (-5,2) and (9,0)
Final answer:
To find the equation of the line passing through two given points, we can use the slope-intercept form of a line. The equation of the line passing through (-5,2) and (9,0) is y = -1/7x + 9/7.
Explanation:
To find the equation of the line that passes through the points (-5,2) and (9,0), we can use the slope-intercept form of a line, y = mx + b. First, we need to find the slope (m) of the line. The slope is given by the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in the values, m = (0 - 2)/(9 - (-5)) = -2/14 = -1/7.
Next, we can choose one of the points and plug in its coordinates along with the slope into the equation y = mx + b to solve for b. Let's choose the point (-5,2): 2 = (-1/7)(-5) + b. Simplifying the equation, 2 = 5/7 + b. Subtracting 5/7 from both sides, 2 - 5/7 = b. Getting a common denominator, 14/7 - 5/7 = b. So, b = 9/7.
Finally, we can substitute the values of m and b into the equation y = mx + b to get the equation of the line: y = -1/7x + 9/7.
Find the area of the shape shown below, 7.5, 2.5, 2.5
ON THE SMARTBOARD, THE
MATH TEACHER DREW A
RECTANGLE WITH A PERIMETER
The
OF 406 cm. THE LENGTH OF THE
RECTANGLE IS 7cm LONGER
THAN THE WIDTH. FIND THE
DIMENSIONS OF THE RECTANGLE.
The length of rectangle is 105 cm and width is 98 cm.
Step-by-step explanation:
Given,
Perimeter of rectangle = 406 cm
Let,
w be the width of rectangle
Length of rectangle = w+7
We know that
Perimeter of rectangle = 2(Length + Width)
[tex]406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{392}{4}\\w=98[/tex]
Width of rectangle = 98 cm
Length of rectangle = 98+7 = 105 cm
The length of rectangle is 105 cm and width is 98 cm.
Round 56,291.8 to the nearest thousand.
Answer:
56,000.0
Step-by-step explanation:
The number 6 is in the nearest thousand. To round, you look at the number in front of the number you are trying to round and decide if that number is higher or lower than five. If the number is higher than 5, round up to the next highest number. If the number is lower than 5, the number stays the same.
Final answer:
To round 56,291.8 to the nearest thousand, observe the hundreds digit; it's 2, less than 5, so we keep 56,000 and replace subsequent digits with zeros, giving a rounded figure of 56,000.
Explanation:
To round 56,291.8 to the nearest thousand, we need to look at the hundreds place, which is 2 in this case. Since this is less than 5, we don't round up the thousands place. Therefore, we keep the number 56,000 as it is without increasing the thousand's value. However, since we are rounding to the nearest thousand, we replace the hundreds, tens, ones, and decimal places with zeros, resulting in the final rounded number being 56,000.
A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is the height of the box?
Answer:
The answer is 4√2 ft i.e (5.66ft)
Step-by-step explanation:
The length, width and height of a rectangular box are all perpendicular.
This means the length of the diagonal is the Pythagorean distance of the three sides.
So, square of diagonal = L^2 + W^2 + H^2
So,
100 = 64 + 4 + H^2
H^2 = 100 - 68 = 32
H = √32 = 4√2 = 5.66ft
F(x) = 5x -3 solve for f(5)
Answer:
22
Step-by-step explanation:
f(x)=5x-3
f(x)=5(5)-3
f(x)=25-3
f(x)=22
Answer:
[tex]f(5)=22[/tex]
Step-by-step explanation:
since the function is f(x), then you would plug in the 5 since that is x value that is being given then it would be [tex]f(5)=5(5)-3[/tex]. from there multiply 5 and 5 to get 25 then subtract 3 to get 22.
Question 1(Multiple Choice Worth 3 points)
(08.05)Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?
96 points
97 points
98 points
99 points
Answer: D) 99 Points
Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests
Therefore the totals points are 351
351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:
5 x 90 = 450 (The 5 being her fifth test)
450-351 = 99
Option D
Which of the following statements about the volume of a sphere and the volume of a cone are true? Select two answers.
A.
You can find the volume of a sphere with only the diameter.
B.
You can find the volume of a sphere with only the radius.
C.
You can find the volume of a cone with only the height.
D.
You can find the volume of a cone with only the diameter.
Answer:
Step-by-step explanation:
answer D would also be true
Answer:
Step-by-step explanation:
answer D would also be true
What does 30 dozen mean
Answer:
one dozen = 12 so 30 dozens would be 30 *12
Step-by-step explanation:
Answer:
it basicly means 12x30
so if there is an answer 360
Step-by-step explanation:
Making late payments helps maintain a positive credit history(True or false?
Answer:
no
Step-by-step explanation:
Answer: false
Step-by-step explanation:
What is an equation of the line that passes through point (8,0) and is parallel to the line x+y=5
Answer:
y = -x + 5
y - 0 = - (x - 8)
y = -x + 8
Step-by-step explanation:
The required equation of the line is y = 8 - x.
Given that,
To determine an equation of the line that passes through the point (8,0) and is parallel to the line x+y=5
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given equation,
x+y=5
y = -x + 5
m = -1
Since the slope of parallel lines are equals.
So the equation of the line is given as, which is passing by (8,0)
y - 0 = -1 (x - 8)
y = 8 - x
Thus, the required equation of the line is y = 8 - x.
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