Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. What is the length of the side of Amy’s printed picture
Answers
The length of the side of Amy’s printed picture is 6 inches.
What is defined as a square?A square is a two-dimensional closed shape with four equal sides.
A square is made up of four sides and four vertices.A square's sides are all the same length.All interior angles are identical and correct.The total of all interior angles is 360°.Now, as per the given question;
The original length of the side of the square was 4 inches.
Thus, the area of the old photo was;
A = side²
A = 4²
A = 16 square inch.
Now, as the picture is increased by 225%.
Then, increase the area by 225%.
New area = 225% of old area
= (16×225)/100
New area = 36
The length of the side of the new photograph is;
New area = length²
length = √New area
length = √36
length = 6 inches.
Therefore, the length of the side of Amy’s printed picture is 6 inches.
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Related Questions
In 2006, a company had sales of $10 million. In 2011, sales were $12.5 million. Write a linear model that represents the company's sales as a function of the number of years since 2006. Use the model to predict the sales in 2021. Write the linear model in the Show Your Work window.
answer for brainleist ig
Answers
12.5 million I think
Carla reads 36 pages in 3 hours. At this
rate, how long will it take Carla to read a
book with 180 pages?
Answers
Answer:
It will take 15 hours to read a book with 180 pages
Step-by-step explanation:
First, let's set up a ratio to find how many pages she reads per hour:
36:3 = 12:1
Now we can set up fractions to solve:
\(\frac{12}{1} =\frac{180}{x}\)
Cross multiply:
\(12x=180\)
Divide each side by 12:
\(x=15\)
Help me solve this 9(n + 2) n = 1/4 the choices are A. 3 B. 9 C. 10 D. 19
Answers
Answer:
d
Step-by-step explanation:
A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number):
Answers
This question is incomplete, the complete question is;
A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number): a) P(B) =, b) P(A or B) =
Answer:
a) probability of B is 0.5
b) probability of (A or B) is 0.875
Step-by-step explanation:
Given the data in the question;
The coin is tossed 3 times.
so let S represent the sample space with the probabilities;
S = [ HHH, HHT, HTH, THH, HTT, THT, TTH, TTT ]
so n(S) = 8
now let A be the set where at least one head is observed;
A = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]
n( A) = 7
let B be the set where at least two head is observed;
B = [ HHH, HHT, HTH, THH, ]
n(B) = 4
let C be the set where number of heads are odd;
C = [ HHH, HTT, THT, TTH ]
n(C) = 4
so
a) P(B) = ?
probability of B will be;
P(B) = n(B) / n(S)
we substitute
P(B) = 4 / 8 = 0.5
Therefore, probability of B is 0.5
b) P(A or B) = ?
the favorable number of cases to event A∪B is
A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]∪[ HHH, HHT, HTH, THH, ]
A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]
n(A∪B) = 7
Now the probability of A or B will be
P( A∪B ) = n(A∪B) / n(S) = 7/8 = 0.875
Therefore, probability of (A or B) is 0.875
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
Answers
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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Please help asap !!! I will give points !!!
Answers
The value of p when q is 2 is 1
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means that has x increases y will decrease and vice versa.
If p is inversely proportional to q , then p = kq
when p = 2, q = 4
2 = k4
k = 2/4
k = 1/2
When q = 2
p = 1/2 × 2
p = 1
Therefore the value of p is 1
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Suppose you have a credit card with a balance of $3,295.89 that charges 19.85% APR on unpaid balances. The minimum payment each month is $35. If you make just the minimum payment, how much interest will be added to your account balance?
Answers
Answer:
$19.52
Step-by-step explanation:
The interest due will be ...
$3295.89 × 0.1985/12 = $54.52
If you just pay $35, then the amount of interest added to your balance will be ...
$54.82 -35.00 = $19.52
_____
Additional comment
The credit card agreements I've seen recently require a minimum payment in addition to the finance charge. If those are terms on this card, the minimum payment would be $54.82 +35.00 = $89.82. Making this minimum payment would result in no interest being added to the balance.
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Answers
Answer:
just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on
Step-by-step explanation:
Pauline got 9 pounds of
cherries from her tree this year. Last
year she only got 64 pounds. How
many times more pounds did she get
this year than last year?
Answers
i think the anser is 55 more pounds
an expression for 4 times the sum of 14 and 26
Answers
4(14+6)
Answer:
4 (14+26)
Step-by-step explanation:
there is no need to use 4x (14+26)
A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
Answers
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
Answers
✿————✦————✿
Answer: A
\(62=\frac{12(1.04^{12}-1) }{1.04-1}\)
✿————✦————✿
50 points if your right
Answers
Answer:
1st answer is 7/12
Step-by-step explanation:
mark me
Answer: 1 - 7/12
Step-by-step explanation:
Please help!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
This problem could keep you going for quite a while. My suggestion is that you go get a cup of coffee and sip it slowly as you read this.
Equation One
Sqrt(x - 1)^3 = 8
(x - 1)^(3/2) = 8
Square both sides to get rid of the 2.
(x - 1)^3 = 8^2
(x - 1)^3 = 64
Now take the cube root of both sides to get rid of the 3 on the left
x - 1 = cuberoot(64)
x - 1 = 4 Add 1 to both sides
x - 1+1 = 4 + 1
x = 5
==============================
Second Equation
4th root (x - 3)^5 = 32
Take the 5th root of both sides.
4th root(x - 3) = 2
This can be written as (x - 3)^(1/4) = 2
Now take the 4th power of both sides.
(x - 3) = 2^4
x - 3 = 16
add 3 to both sides.
x = 16 + 3
x = 19
============================
Equation 3
(x - 4)^(3/2) = 125
Take the cube root of both sides
(x - 4)^(1/2) = 125^(1/3) 1/3 is the cube root of something
(x - 4)^(1/2) = 5
square both sides to get rid of the 2
(x - 4) = 5^2
x - 4 = 25
Add 4 to both sides.
x = 25 + 4
x = 29
============================
Fourth Equation
(x + 2)^(4/3) = 16
take the 4th root of both sides
(x + 2) ^(1/3) = 16^(1/4)
(x + 2)^(1/3) = 2
Cube both sides
(x + 2) = 2^3
x + 2 = 8
Subtract 2 from both sides
x + 2 - 2 = 8-2
x = 6
##########################
The first step is the most critical. You must look at what you are going to take the root of. When you do, for this question, it must come out even.
Jonah is participating in an online class discussion. Students are discussing a class reading about the risks and benefits associated with genetically modified foods—or foods that have been engineered by scientists to make them easier to grow. Jonah just read a post by a student who argues that these foods can help end world hunger and that that is worth any cost to the environment.
Jonah disagrees with the opinion expressed in the post he just read. What should he do?
Keep his opinion to himself.
Reply to the person who made the post without expressing his disagreement.
Respond to the post by acknowledging the person’s argument and explaining why he disagrees.
Accuse the person who made the post of either not completing the assigned reading or of being too foolish to understand it.
Answers
Answer:
Respond to the post by acknowledging the person’s argument and explaining why he disagrees.
Step-by-step explanation:
did this on edge
have a good day!!
Answer:
The correct answer is C.) Respond to the post by acknowledging the person’s argument and explaining why he disagrees.
Step-by-step explanation:
I just did the assignment on edge 2020 and got it right
Is speed the rate of change in the velocity of a moving body?
Answers
No, speed is the rate of change of distance.
Velocity is the rate of change of displacement.
Distance is scalar quantity, it has just magnitude.
Displacement is vector quantity, it has both magnitude as well as direction. So, speed and velocity are scalar and vector respectively too.
please help me out, im taking a test. ill give brainliest
Answers
Answer: you are cheating :(?
So I won't help u sorry
Step-by-step explanation:
Suppose tossing a coin 8 times represents the 8 cups of tea, heads represents a correct identification of what was poured first, tea or milk, and tails represents an incorrect identification of what was poured first. Select the best conclusion you would draw about whether the woman was just guessing.
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
B. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
C. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is likely that the woman was just guessing as to what was poured first.
D. Repeat the process many times (1000). If 4 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
Answers
Answer:
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
Step-by-step explanation:
Since tossing a coin 8 times implies 8 cups of tea, with the given conditions.
The sample space = 1000
Then;
\(\frac{6}{8}\) × 1000 = 750
If 6 correct out of 8 cups occurs (750 out of 1000), the woman got 750 correctly. Thus it can be inferred that it is likely that she knew what was poured first, either the tea or milk.
But, if 6 correct out of 8 cups rarely occurs (i.e 250 out of 1000), then it is most likely that the woman was just guessing as to what was poured first.
The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
Answers
The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.
The function will be:
F = 2.40 + (0.40 × m)
F = 2.40 + 0.40m
where m = number of miles
F = taxi fare.
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PLEASE HELP!!! FAST I HAVE 2 MINUTES! MULTIPLE CHOICE! PLEASE SHOW A LITTLE WORK FAST!
Answers
Answer:
A. y=-2x+1
Step-by-step explanation:
rise over run rise(up or down) 2 run(right or left) 1
tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute
Answers
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
What is the value of n in the figure?
Answers
Answer:
n = 14
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle equals the sum of the measures of the two remote interior angles.
12n - 8 = 8n - 4 + 52
4n = 56
n = 14
H E L P
Evaluate the expression if x = 7 and y = 12
5x - y
Answers
\(\\ \rm\longmapsto 5x-y\)
x=7y=12\(\\ \rm\longmapsto 5(7)-12\)
\(\\ \rm\longmapsto 35-12\)
\(\\ \rm\longmapsto 23\)
Answer:
\(5x - y \\ x = 7 \\ y = 12 \\ then \: 5x - y = 5 \times 7 - 12 \\ = 35 - 12 \\ = 23 \\ thank \: you\)
Find the value of x in the equation below. 60 = 10 x
Answers
Answer:
Just do 60 divided by 10
Step-by-step explanation:
60=10 x 10 times 6 = 60 so x=6
Answer: \(x=6\)
Divide both sides by 10
\(10x=10=60/10\\x=6\)
What is 4 & 1/2+1/8? *
Answers
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
The width and length of a rectangle are 12 units and 16 units. What is the length of the diagonal of the rectangle
Answers
The diagonal of a rectangle with a width of 12 units and a length of 16 units is 20 units
Calculating the diagonal of a rectangleFrom the question, we are to determine the length of the diagonal of the rectangle
From the given information,
The width of the rectangle is 12 units
and
The length of the rectangle is 16 units,
The diagonal, D, of a rectangle is given by
D = √(l² + w²)
Where l is the length of the rectangle
and w is the width of the rectangle
l = 16
w = 12
Thus,
The diagonal of the rectangle is
D = √(16² + 12²)
D = √(256 + 144)
D = √400
D = 20
Hence, the diagonal is 20 units
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What numbers are missing from this pattern 36,2,13,21,?,?,?,?,36,2,13,21
Answers
Answer:
36,2,13,21
Step-by-step explanation:
At its simplest, it is a repeating sequence of 4 numbers:
36,2,13,21
So, those are the four missing numbers.
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
Answers
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Why was his velocity 0? Explain.
Answers
Since the final position of the car and the initial position of the car are the same so so x2 = x1 Thus x2-x1=0 so displacement is just zero so the velocity becomes zero.
E B 3x Which expression can be used to represent the length of DF to prove that the two triangles are similar? x + 2 А 2x + 3 C D F 6x + 9 6x + 3
Answers
Which expression can be used to represent the length of DF to prove that the two triangles are similar?
ED= AB = 3x/ x = 3
The ratio is 3: 1 (Triangle DEF and triangle ABC)
So then
DF = 3 AC = 3* (2x +3) = 6x+9
________________
Answer
DF = 6x+9
___________________________________________________________________________
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