What is the scale factor that takes the large triangle to the small triangle?
Answers
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
Related Questions
Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))
Answers
(-1)2-7(-1)-9=-4
(-4)-2=-6
it’s -6
Simplify:
(a^-2)^-3 divided by (a^5)^-1
Answers
Hi,
.
[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]
.
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]
=>
[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]
.
.
I hope it helped ✅(•‿•)
Find the magnitude of the vector (4,9).
Write your answer in simplified radical form.
Answers
Step-by-step explanation:
4^2+9^2=97
Magnitude=sqrt(97)
In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.
How to find the magnitude of a vector?To find the magnitude of a vector (a, b), you can use the formula which is expressed as:
Magnitude = √(a² + b²)
Given the vector (4, 9), let's calculate its magnitude as shown below:
Magnitude = √(4² + 9²)
Magnitude = √(16 + 81)
Magnitude = √97
So, the magnitude of the vector (4, 9) is √97 in simplified radical form.
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A linear inequality is in the form Ax + By + C = 0
True
False
Answers
Answer:
False
That is an equation as shown by the = sign.
An inequality has an inequality sign like '<' .
Can you guys help me find the sum TnT
(7−b)+(3b+2)
Answers
Answer:
2b+9
Step-by-step explanation:
Activity
In this activity, you will use a table of coordinate points to determine whether a function is linear or nonlinear. Billy hit a baseball to the bottom of
the outfield wall. The table gives points in the function representing the helght of the baseball in terms of the horizontal distance traveled by the
ball. Help Billy find whether this function is linear or nonlinear.
03
150 78
300 3
The value of x represents the horizontal distance traveled by the baseball, and the value of y represents the height of the ball from the ground.
-Part A
To determine whether a function is linear or nonlinear, check whether the rate of change is constant for every pair of coordinates. What is the rate
change in y, for the first two pairs of coordinates?
of change, change in
Answers
Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.
Answer:
Part a: Answer is 1/2
78 - 3/150 - 0 = 75/150
= 1/2
Part b: Answer is -1/2
3 - 78/300 - 150
= -75/150
= -1/2
Part c: No, the two rates aren’t the same, because one is positive and the other is negative.
Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function
Step-by-step explanation:
(PLEASS HURRY IM BEING TIMED)
(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:
(Giving Brainliest)
Answers
Looks like you have 2 similar triangles.
all the angles from one triangle are congruent to all the angles from the other triangle.
The sides must be proportional.
Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.
Cross multiply h to get 6*25 = 5*x.
Divide both sides of the equation by 5 to solve for x to get:
x = 6*25/5 = 6*5 = 30.
The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-
Answers
The total amount of revenue on the 23rd day is 322.65
Given the following parameters:
purchases made p(d) = 15d + 45sales made s(d) = 0.15d² – 4d + 80The revenue will be exprssed as:
r(d) = s(d) - p(d)
r(d) = 0.15d² – 4d + 80 - (15d + 45)
r(d) = 0.15d² – 19d + 35
Hence a function R(d) to model the total daily revenue is r(d) = 0.15d² – 19d + 35
To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function
r(d) = 0.15d² – 19d + 35
r(23) = 0.15(23)² – 19(23) + 35
r(23) = 79.35 - 437 + 35
r(23) = -322.65
Hence the total amount of revenue on the 23rd day is 322.65
Learn more on function here: https://brainly.com/question/14307385
help me please!!!!!!!
Answers
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.
Answers
Answer:
70
Step-by-step explanation:
if 5(2x-1)=35,then x=
Answers
Answer:
x=4
Step-by-step explanation:
5(2x - 1) = 35
Should expand so....
10x - 5 = 35
10x = 40
x = 4
Answer:
x=4
Step-by-step explanation:
distribute the 5: 10x-5=35
add 5 to both sides: 10x=40
divide both sides by 10: x=4
How do I solve this
Answers
Step-by-step explanation:
exterior angle is the sum of two opposite interior angle
11x+9=3x+12+85
11x-3x=88
8x=88
x=11.
hope this helps you.
Answer:
x=11
Step-by-step explanation:
85 + 3x + 12= 11x+9
97 +3x= 11x+9
-97 -97
3x= 11x - 88
-11x -11x
-8x = -88
/-8 /-8
x=11
you buy 5 pounds for 35 how much dose one pound cost
Answers
Answer: 35 divided by 5 = 7.
Step-by-step explanation: therefore one pound is $7
14m - 7
Please help asap
Answers
Answer:
its very simple
answer is 21
Step-by-step explanation:
m=7+14
m= 21
A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.
Answers
Answer:
2.829 mm
Step-by-step explanation:
Correct: 2.83 mm
Measured(mm) Difference (mm)
2.837 0.007
2.829 -0.001 Smallest deviation from actual.
2.812 -0.018
2.805 -0.025
The measurement of the piece of metal that is the most accurate is 2.837 cm.
Given that,A piece of metal with a length of 2.83 cm was measured using four different devices.
We have to determine,Which of the following measurements is the most accurate?
According to the question,A piece of metal with a length of 2.83 cm was measured using four different devices.
Accuracy is the degree to which the measured value is close to the correct value.
The difference between the accepted value and the measured value of the quantity is called the error of measurement.
The measurement for the first device is,
[tex]=2.83 - 2.837\\\\=-0.007[/tex]
The measurement of the first device is -0.007.
The measurement for the second device is,
[tex]=2.83 - 2.829\\\\=-0.001[/tex]
The measurement of the second device is -0.001.
The measurement for the third device is,
[tex]=2.83 - 2.812\\\\=-0.018[/tex]
The measurement of the third device is -0.018.
The measurement for the fourth device is,
[tex]=2.83 - 2.805\\\\=-0.025[/tex]
The measurement of the fourth device is -0.02.
Hence, The measurement that is the most accurate is 2.837 cm.
For more details about Substitution refer to the link given below.
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What is the exact value of tan(−π4)?
Enter your answer in the box.
Answers
Answer:
What is the exact value of tan(−π4)? is 20
IF YOUR QUESTION IS...
What is the exact value of tan(-pi/4)?
Answer: -1
please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.
a. n≥5
b. n<5
c. n>5
d. n≤5
Answers
Answer:
d. n≤5
Step-by-step explanation:
This is the answer
Answer:
D) n≤5
Step-by-step explanation:
No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.
I need help and I can’t find any sadly. Help!!
Answers
Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality
Step-by-step explanation:
more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))
Answers
Answer:
ye
Step-by-step explanation:
Would you rather have your boss pay you 10,000 a day for 3 full weeks
Answers
Answer:
yes I would............
220 m in 20 s
What is the unit rate?
Answers
Answer:
m/s ...................................
y = one-fourth x minus 6 be determined? Explain.
Answers
Answer:
Step-by-step explanation:
For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.
We will see that both domain and range are the set of all real numbers.
D = (-∞, ∞)
R = (-∞, ∞)
Here we have the function:
The first thing we need to do is find the domain.
We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.
Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).
Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.
Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.
Then the range will also be the set of all real numbers.
What are the zeros of this function?
A. x=0 and x=-6
B. x=0 and x=5
C. x=0 and x=-5
D. x=2 and x=-6
Answers
Answer:
c i dont know
Step-by-step explanation:
Answer:
Definitely not C
Step-by-step explanation:
The Culver City Carnival had a face-painting booth. There were 8 times as many kids as adults who had their faces painted. Pick the diagram that models the ratio in the story. If 56 kids had their faces painted, how many people had their faces painted altogether?
Answers
Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the x axis at one to a minimum around y equals negative zero point six and goes up to cross the x axis two to a maximum around y equals zero point two and and then goes back down to a touch the x axis at three and then goes back up to the top right. f(x) = (x − 3)2(x + 2)(x − 1) f(x) = (x + 3)2(x − 2)(x + 1) f(x) = (x + 3)2(x + 2)(x + 1) f(x) = (x − 3)2(x − 2)(x − 1)
Answers
Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?
Answers
Step-by-step explanation:
72 apples.
38 red, and therefore 72-38 = 34 green.
46 have worms, therefore 72-46 = 26 have not.
and so, in the best case you have 26 green apples without worms.
solve the given problem
Answers
Step-by-step explanation:
the first step in my opinion would be find the norm(s) in this scenario.
100 pounds is a good norming weight.
the speed of these 100 pounds with a 10 HP motor is
50ft/30sec = 5/3 ft/s
so, then let's ask next what size of motor is needed to lift the same 100 pounds 40 ft in 40 seconds
40ft/40sec = 1 ft/s
to get the same speed as in the first case the motor need to be weaker (to move slower). and that goes by the same factor as the ratio between the 2 speeds :
5/3×f = 1
f = 3/5
10 HP × f = 10 × 3/5 = 30/5 = 6 HP
so, it takes a 6 HP motor to lift these same 100 pounds 40 ft in 40 seconds.
and now, how strong must the motor be to lift 800 pounds (= 8 times the original 100 pounds) with the same speed ?
well, 8 times
8×6 = 48 HP
so, it would take a 48 horsepower motor to lift 800 pounds 40 ft in 40 seconds.
the equation would then be
HP = p/100 × 6 = 6p/100 = 3p/50
HP = horsepower
p = pounds
the rest I cannot really answer, as I don't know your class and it's contents.
I hope I covered the topics of your class with that solution.
200m - 125m + 48,750 = 50,000 - 175m
Answers
Answer:
m = 5
Step-by-step explanation:
200m - 125m + 48,750 = 50,000 - 175m
=> 75m + 48,750 = 50,000 - 175m
=> 75m + 175m = 50,000 - 48,750
=> 250m = 1250
=> m = 5
Hoped this helped.
if 1 orange cost 30 cents how many oranges can you buy for 10.50
Answers
Answer:
300!! I think...
Step-by-step explanation:
30 x 10 = 300
If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.
What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.
You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month
Answers
We must see which thing would make the conditional statement a false statement. We will see that the correct option is:
"You go to the gym for an hour a week and lose 7 pounds in a month"
So we start with the conditional statement:
"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"
Remember that the general conditional statement is:
If P, then Q.Where P is the hypothesis and Q is the conclusion.
The conditional statement is false if:
P is true and Q false.
So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).
With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.
"You go to the gym for an hour a week and lose 7 pounds in a month"
If you want to learn more about conditional statements, you can read:
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