The true statements after a dilation of scale factor 3 are,
∠A corresponds to ∠A' and Triangle ABC is similar to triangle A'B'C'.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, The points of ABC are (negative 3, 3), (- 1, 1), and (- 3, 1).
The points of A'BC' are (- 9, 9), (- 3, 3), and (- 9, 3) after a dilation of 3, (x, y) ⇒ (3x, 3y).
We know dilation maintains the similarity of the dilated figures.
Therefore, The statements that are true,
∠A corresponds to ∠A' as dilation maintains similarity.
Triangle ABC is similar to triangle A'B'C'.
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Answer:
Options A,B,C,E
Step-by-step explanation:
PLEASE HELP I’LL GIVE BRAINLIST!!!!!!!!
An object in free fall is dropping using only the force of gravity. Let's assume that is the case with the Drop of Doom for a moment just for the sake of our calculations.
When using feet to measure the distance traveled over time, we can approximate the force of gravity as -16ft/sec^2. That means every second, the speed of the ride is increasing at a rate of 16 ft/sec down towards the ground (hence the negative sign).
Zumanjaro is said to be a 415-foot drop. We can represent this fall using the function: h(t)= -16t^2+415, where h is the height above the ground (or in this case the height above the stopping point of the ride) in feet and t is the time in seconds.
Using this function, how long does the ride take to complete its 415 drop?
Write four consecutive numbers with a mean and medium of 14.5
Answer:
13, 14, 15, 16
Step-by-step explanation:
Call the first number n. Then the next three consecutive numbers (assuming integers) are n + 1, n + 2, n + 3.
The mean is the total of the numbers divided by how many there are.
[tex]\frac{n+(n+1)+(n+2)+(n+3)}{4}=14.5[/tex]
Simplify and multiply by 4.
[tex]4n+6=58\\4n=52\\n=13[/tex]
The first number is 13.
The median is 14.5, halfway between the "middle" numbers 14 and 15. This is just a check; no additional equation is necessary.
Anthony throws a ball from a point of 40m above the ground. The height of the ball h, in meters, after t seconds is represented by the function h(t) = -5t2 + 40t.
What was the maximum height
of the football?
How many seconds did it take
for the football to hit the ground?
Answer:
maximum height is 80 feet
8 seconds until it hits ground
Step-by-step explanation:
-5t(t - 8) = 0
-5t= 0; t = 0 (this represents the beginning of the throw)
t-8=0; t = 8 (this represents the end of the throw)
To find maximum height, find the vertex of the graph,
you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)
x = -40÷2(-5)
x = -40/-10
x = 4
h(4) = -5(4²)+40(4)
h(4) = -5(16) + 160 which is 160 - 80 = 80
can someone help me pls
i need help please this is due at 8
Answer:
[tex]use \: this \: formula \\ circumference = dimeter \times 3.14 = 2 \times radius \times 3.14 \\ \\ area = 0.25 \times {diameter}^{2} \times 3.14 = {radius}^{2} \times 3.14[/tex]
Use the quadratic formula to find both solutions to the quadratic equation
given below.
4x² + 5x+1=0
A. X=-
-3-√√-7
8
□ B. x=-3-√7
8
C. x=
E. x=
-3+√√-7
8
D. x=-¹
+3+√7
8
F. x= -1
Answer: x=-1/4 and x=-1
Step-by-step explanation:
The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.
The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.
The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:
a=4
b=5
c=1
Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.
Solution 1: addition
[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex] [square root]
[tex]x_1=\frac{-5+3}{8}[/tex] [add]
[tex]x_1=\frac{-2}{8}[/tex] [divide top and bottom by 2]
[tex]x_1=-\frac{1}{4}[/tex]
Solution 2: subtraction
[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex] [square root]
[tex]x_2=\frac{-5-3}{8}[/tex] [subtract]
[tex]x_2=\frac{-8}{8}[/tex] [divide]
[tex]x_2=-1[/tex]
I am not able to find the answer choices, but we know that x=-1/4 and x=-1.
Please solve and give me the answer. Please show me how you solved it too.
Answer:
x = 24
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
4x + x + 60 = 180
5x + 60 = 180
5x = 120
x = 24
Jina is running. The number of minutes she has run varies directly with the number of calories she has burned. See the graph below.
How many calories is Jina burning per minute ?
What is the slope of the graph ?
The number of calories Jina is burning per minute is 0.1 and the slope is 0.1
How many calories is Jina burning per minute?From the question, we have the following parameters that can be used in our computation:
Points, (x, y) = (0, 0) and (150, 15)
The burning rate per minute can then be calculated as
Burning rate per minute = (y₂ - y₁)/(x₂ - x₁)
Substitute the known values in the above equation, so, we have the following representation
Burning rate per minute = (15 - 0)/(150 - 0)
Evaluate the quotient
Burning rate per minute = 0.1
What is the slope of the graph?In (a), we have
Burning rate per minute = 0.1
This rate is the same as the slope
Hence, the slope is 0.1
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Describe the distribution of the ages of the Best Actor Oscar winners [LINK]:
A) What is the BEST description of the SHAPE?
- The distribution is not skewed
- The distribution is skewed left.
- The distribution is skewed right.
The correct option is option (c)-"The distribution is skewed right."
The distribution of the ages of the Best Actor Oscar winners is slightly skewed to the right.
A histogram of the ages of the Best Actor Oscar winners shows that the majority of the ages are centered around the mean age, with a few ages on the higher end that extend the right tail of the distribution. This creates a small skewness to the right.
The distribution seems to be centered at around 42-43.
The age distribution ranges from about 30 to about 75, without taking into account an outlier.
It's worth noting that the distribution is not extremely skewed, and the majority of the ages are still grouped around the center of the distribution.
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A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The
piece of cork has a mass of 5.7 g. What is the density of the cork?
Answer:
0.243 g/mL
Step-by-step explanation:
Density is grams divided by mL. All you need to do for this is take your values and use them for the equation. Divide 5.7 grams by 23.5 mL
The graph shows Miguel's savings over time. What is the slope of the line?
Answer:
3/4 x
Step-by-step explanation:
The rise is 3 and the run is 4, making the slope 3/4 x
What can you multiply to the first equation to eliminate the y's?
4x + y = 12
- 2x + 3y = 10
Answer:
I think this is how....
Step-by-step explanation:
4x + y = 12
4x + y -y = 12 - y
4x = 12
*divide by 4 on each side*
x = 3
when processing an invoice what account is debited
a. cash
b. accounts payable
c. accounts receivable
d. the answer depends on the transaction
Answer:
D
Step-by-step explanation:
Because the account that gets debited depends on the specific transaction
please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
WU/VU
Step-by-step explanation:
cos = adj/hyp
since vu is the longest side, we can determine that is the hypotenuse.
angle w is the right ange, so side wu would be the adjacent side.
putting it together, the ratio for cosine of angle u would be wu/vu
Help! How do I do this??
Answer:
a = 14.9; b = 11.1
Step-by-step explanation:
SOHCAHTOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
[tex]cos48[/tex]° : adjacent is 10, and hypotenuse is a
[tex]cos48=10/a; a*cos48=10;a=10/cos48[/tex]
type 10/cos48 into calculator to get a = 14.9
[tex]sin48[/tex]° : opposite is b, and hypotenuse is a
[tex]sin48=b/a; sin48=b/14.9; b=14.9*sin48[/tex]
type 14.9*sin48 into calculator to get b = 11.1
Dr. And Mrs. Tutt are married, lives in Burleson and file a joint return. The Tutts cannot
be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19
years old, single and a full-time student away at college. Lavender earned $4,500
during the year, but her parents provided more than half of her support. Which of the
following statements is true?
The real earning of her could be less than $2250 during the year where their parents supported more than half.
What is linear equation ?
linear equation can be defined as the equation in which the highest degree of the exponent is one.
Given
The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,
single and a full-time student away at college.
Lavender earned $4,500 during the year
The real earning of Lavender could be
as her parents supported more than half.
so,
her real earning could be less than $2250
Hence , the real earning of her could be less than $2250 .
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A skateboarding ramp is
in the shape of a triangular
prism. If the entire ramp is
to be painted, and a can of
spray paint covers 1,000
square inches, how many
cans will be needed?
Help me please! I only need one more question
Answer:
chicken pot pie
Step-by-step explanation:
ain't good
The number of cans needed will be 3.divide the total surface area by the area the spray paint can cover.
What is surface area ?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The total surface area to be painted;
A = Area 1 + Area 2 +Area 3+Area 4 \\\\\ A= Area of rectangular face 1 + Area of triangular surface 1+Area of triangular face 2 +Area of rectangular face 2
[tex]\rm \ A = 36 \times 50 + \frac{1}{2}\times 48 \times 14 +\frac{1}{2} \times 48 \times 14 + 36 \times 14 \\\\ A = 1800 +672+504 \\\\ A = 2976 \ inch^2[/tex]
The total surface area to be painted is 2976 inch².
To find the number of cans, divide the total surface area by the area that the spray paint can cover;
[tex]\rm n = \frac{2976}{1000} \\\\ n = 2.976 \\\\ n \approx 3[/tex]
Hence, the number of cans required will be 3.
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What value of n makes the equation true? Show your work.
Answer:
5n
Step-by-step explanation:
(7^5 * 7^n) ^ 4 = (7^11/7^n)^3
7^(20 + 4n) = 4.7^15 / n^3
= 20/4 = 5n and 15/3 = 5n
Answer 5n
Kindly answer this one. Thank you.
Answer:
See below.
Step-by-step explanation:
I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.
♦ The midline's length is the average of the lengths of the top and bottom parallel sides.
[tex]AL=\frac{OR+CE}{2}[/tex]
Use this equation and substitute values given in each problem, then solve for the missing information.
1. AL = x, CE = 9, OR = 5
[tex]x=\frac{9+5}{2}=7[/tex]
2. AL = m - 4, CE = 15, OR = 17
[tex]m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16[/tex]
3. OR = y + 5, AL = 15, CE = 18
[tex]15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12[/tex]
Someone help plz make sure it’s right will mark brainiest
The length of a rectangle is 3cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.
L = 3 + W ...1
2(L + W) = 58
L + W = 29 ...2
From equations 1 and 2, then we have
3 + W + W = 29
2W = 26
W = 13 cm
Then the length of the rectangle will be given as,
L = 3 + 13
L = 16 cm
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
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How do you write log2 in exponential form?
To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
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is this right?? this is a graded assignment and no links!!
PLEASE HELPP
mia has 3 bags the number of toys in each bag is 6, 8 and x what is the number of toys in the third bag if the average number of toys in the three bags is 6?
a. 3
b.6
c.4
d.8
Answer:
b
Step-by-step explanation:
i think b because it makes more sense than a or c
A wood has pine, oak and ash trees.
The numbers of pine trees and oak trees are in the ratio 5:8.
The numbers of oak trees and ash trees are in the ratio 2:3
The total number of trees in the wood is 300. Find the number of ash trees.
An ice cream store has the following pints
in stock: 6 cookies and cream, 4 chocolate, 7
strawberry, 5 vanilla, and 8 mint chocolate
chip. Courtney is going to take out one pint,
not replace it, and then take out a second
pint. What is the probability that she will pull
out first a strawberry, then a mint chocolate
chip?
Answer:
0.03333333333 she will pull out a strawberry first then 0.00114942528 perfect chance she will get both of them.
Step-by-step explanation:
30 possibilities for the first one and 29 other for the second one
A school has 2000 students a survey finds that 36 students out of a random sample of 80 student's are bilingual the margin of error for the survey is +4% find the interval in which the total number of bih Guam students is most likely to lie
Answer:
(820 ; 980)
Step-by-step explanation:
Given :
Sample size, n = 80
Number of bilingual from sample = 36
Sample proportion, phat = x / n = 36 / 80 = 0.45
Margin of Error = 4% = 0.04
Interval = sample proportion ± margin of error
0.45 ± 0.04
(0.41 ; 0.49)
(0.41 * 2000 ; 0.49 * 2000)
(820 ; 980)
Please help me with this! <-
Answer:
this is very hard i have one of this but it might be wrong
GIVING BRAINLIEST! HELP
Answer:
The answer is a because the sign should be facing right but not be greater than or equal to.
what is x and the measure of angle EHF
Answer:
x = 10, ∠ EHF = 110°
Step-by-step explanation:
7x and 11x are adjacent angles and sum to 180° , then
7x + 11x = 180
18x = 180 ( divide both sides by 18 )
x = 10
∠ EHF = 11x = 11(10) = 110°
Answer:
EHF = 110 deg
Step-by-step explanation:
From what it looks like 7x and 11x are being used as units of measurment. I can asssume a full circle adds up to 36x because 180deg adds up to 18deg.
If there were a number that was supposed to fill in for x it could be 0 because if the angles in this problem were 110 deg and 70 deg they would make 180 deg which is the straight line that the problem has.