Amy is creating an enlargement of the following image for an art gallery.
She needs the enlargement to follow the scale of ¼ of a foot to 3 feet. This will result in an image with a length of 8 feet and width of 6 feet.
what is the unit rate of area in square feet of the enlargement image per square foot of area of the original image?
A. 144 square feet per square foot
B. 48 square feet per square foot
C. 16 square feet per square foot
D. 32 square feet per square foot
Answers
Answer:
A
Step-by-step explanation:
Since all of the dimensions are being expanded by a scale of 1/4 of a foot to 3, or an increase of a factor of 12, the area is being increased by 12*12=144 times, or choice A. Hope this helps!
The unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.
The scale of 1/4 of a foot = 3 feet
So scale of a foot = 3*4 =12 feet
What is a scale factor?A scale factor is a factor by which the dimension of an object is enlarged or diminished.
So, the area of the enlarged image = 12 feet*12 feet
The area of the enlarged image =144 square feet
Hence, the unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.
To get more about scale factors visit:
https://brainly.com/question/1903243
Related Questions
Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
A. (x+5)^2/9+(y+4)^2/4=1
B. (y+4)^2/2-(x+5)^2/3=1
C. (y-4)^2/2-(x-5)^2/3=1
D. (x-5)^2/9+(y-4)^2/4=1
Answers
Answer:
D. (-x+5)^2/9+(y-4)^2/4=1 (I assume there was a mistype)
Step-by-step explanation:
The first step is isolating the sine and cosine functions.
x=5-3cos(t)
x + 3cos(t) = 5
3cos(t) = 5 - x
cos(t) = (5 - x)/3
y=4+2sin(t)
y - 4 = 2sin(t)
(y - 4)/2 = sin(t)
Then, square at both sides of the equal sign
cos²(t) = (5 - x)²/3² = (5 - x)²/9
sin²(t) = (y - 4)²/2² = (y - 4)²/4
Recall the trigonometric identity and replace.
cos²(t) + sin²(t) = 1
(5 - x)²/9 + (y - 4)²/4 = 1
The price of a cup of coffee was $2.85 yesterday. Today, the price fell to $2.50. Find the percentage decrease, Round your answer to the nearest tenth of a
percent
Answers
Let's see what percentage of 2.55 is 2.40
or $2.40 = x% of $2.55
2.40 = (x/100)(2.55)
x = 2.40(100)/2.55
x = 240/2.55
x = 94.1%
$2.40 is 94.1% of $2.55
The decrease is from 100% to 94.1%
100-94.1 = 5.9% decrease in price
a new school has a teacher to student ratio is 2:15. the school has 42 teachers. how many students are there in the school?
Answers
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
help me plzz!!!! thank you
Answers
Answer: The first one is 144 . The second one is C.
Step-by-step explanation:
Answer:
1) Full surface area = 156unit^2 this is correct.
lateral surface area = 144unit^2, this wasn't asked.
2) C = 528unit^2 is correct.
Lateral = 480unit^2 this wasnt asked.
Step-by-step explanation:
yes the next one is C 528
The formula for finding the surface area is the same for all right prisms and is: Surface area = 2B + hP. In this formula, B is the area of one of the bases, while h is the prism's height, and P is the perimeter of the base.
In effect;
step 1 = parallel sides indicate the bases of all triangular prism
step 2 = perimeter = 3+4+5 = 12
step 3 = LA = P x H = P x Length which is lateral height
LA = 12 x 12 = 144
step 4 = SA = 1/2 b x h (height of triangle) +LA
SA = 1/2 4 x 3 + LA
SA = 2 x 3 = 6 = 1 base + LA (+base)
SA = 6+6 = 12 + 144 = 156 = 2b+LA
IF you remember LA is perimeter x length of prism but label L as H then use little h for triangle h. You can remember.
pls help will mark as brainliest
Answers
If you plug in the x values, such as 2, into the equation you should get the y value. For example 1/4^2 is 1/16 which matches the table
Answer:
C or [tex]y=\frac{1}{4}^{x}[/tex]
Step-by-step explanation:
when x is 0 y is 1 and every positive number to the zeroth power is 1
so It can be A or C
but the value of y goes down when x goes up so its exponential decay or less than 1 so 1/4<1 So
C or [tex]y=\frac{1}{4}^{x}[/tex]
the first term of a geometric sequence is 3 and the comaon ratio is 5 find the 8th term.
Answers
Answer:
5
Step-by-step explanation:
Answer:
234375
Step-by-step explanation:
3, 15, 75, 375, 1875, 9375, 46875, 234375
Geometry help please
Which set contains letters that all have rotational symmetry?
a.F, G, L, P
b.S, O, X, Z
c.A, M, T, O
d.H, I, J, X
Answers
Answer:
The answer is C- A, M, T, O
18. Convert 395 to a mixed number
written in lowest terms.
A. 4577
B.5 41
C.745
O D. 75/
Answers
Answer:
U can’t convert a single number to a mixed number
Step-by-step explanation:
50 points!!! CPHJ ~ VBMW. Complete the statement below.
Answers
Answer:
M
Step-by-step explanation:
Similar angles would be the same location.
H is the 3rd letter in the first set, so it would be similar to the 3rd letter in the second set.
H is similar to M
For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?
Answers
Explanation:
If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.
What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k
k^2 = 3k
k^2-3k = 0
k(k-3) = 0 .... factoring
k = 0 or k-3 = 0 .... zero product property
k = 0 or k = 3
If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.
Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.
Please I need help with my geometry math assignment with 13C and is Almost soon to due and I been struggling and needing help on it I try my best and don’t work out for me so I will mark your guys brainlist
Answers
Answer: y = 2x + 2
Step-by-step explanation:
To find the slope of a line perpendicular to another line, you take the slope of the other line and flip it (find the negative reciprocal) and make it negative.
In this case, -1/2 would become 2. 2 is now the slope of the line perpendicular to the other line.
Since the line passes through (1, 4), we can plug the point in - the line will be
y = 2x + 2.
Answer:
y=2x+2.
Step-by-step explanation:
Honestly the perpendicular flipping didn't make sense, but somehow google thought so, so ill leave it at this, if you need more help, just message me.
Identify the solutions to the quadratic equation
x2 + 4x-21 = 0
Check all that apply
O A. x= 3
B. X= -7
O C. x = 21
O D. x= -5
O E. x= 4
Answers
Answer:
Step-by-step explanation:
Solving quadratics is easy. With no coefficient to the x^2, we can go right to finding factors. We want two numbers that multiply to -21, and add to 4. Our numbers are 7, and -3. Now, we move the numbers around to be (x-3) and (x+7). We know that these both equal 0, so we can do basic algebra to solve for x. We can subtract 7 to the other side to just get x, and add 3 over because it is subtracted by x. This leaves us with our answers:
x = -7, x = 3
which of the following is equal to the square root of -5
Answers
Answer:
√5 i
Step-by-step explanation:
√-5
√5*√-1
√-1=i
√5*i
√5 i
If 3n – 2 = 10, then n = _______.
Answers
Answer:
n = 4
Step-by-step explanation:
[tex]3n-2=10\\3n=10+2\\3n=12\\n=12/3\\n=4[/tex]
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
Answer:
n=4
Step-by-step explanation:
f(x) = x2 + 4
What is f(-3)?
Answers
Answer:
f(-3) = 13
Step-by-step explanation:
f(x) = x² + 4 Substitute -3 for x
f(-3) = (-3)² + 4 Simplify the exponent
f(-3) = 9 + 4 Add
f(-3) = 13
If this answer is correct, please make me Brainliest!
Answer:
It’s 13
Step-by-step explanation:
Are the data shown in this line plot skewed left, skewed right, or not skewed? skewed right skewed left not skewed
Answers
Answer:
where is the picture
Step-by-step explanation:
Evaluate y=(1/5)x
when x=- 3
Answers
Answer:
125y
hope this helps
Answer:
Y = 125
Step-by-step explanation:
Mr. Schrock is flying an airplane 300 feet above the ground. You were laying on the ground 400 feet from where he dropped a senior survivor T-shirt. What is the angle of the elevation as you look at the plane?
Answers
Answer:hi
Step-by-step explanation:hi
Sammy sold his sofa for $160 and made a loss of 20%. Find the amount he
bought it.
Person who solves this first gets brainliesr
Answers
Answer:
$200
Step-by-step explanation:
200/0.8
0.8 is the same as a loss of 20% or the same as 80%
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
x-3y = -19
2x+y=-3
A. (-2, 1)
B. (-4,5)
C. (4, -11)
D. (-1,1)
SUBMIT
Answers
Answer:
x=-4,y=5
Step-by-step explanation:
Answer:
B (-4,5)
Step-by-step explanation:
x-3y=-19
2x+y=-3
this is how I'll start it off, I'll multiple the bottom equation by 3 to have the y-value become the reciprocal (opposite) of the top equation.
now it's:
x-3y=-19
6x+3y=-9
now add/subtract
7x=-28
divide 7 from both sides
x=-4
now plug -4 into the equations to get y
-4-3y=-19
add 4 to both sides to get rid of -4
-3y=-15
divide -3 on both sides
y=5
now to double check, do the other equation
2(-4)+y=-3
-8+y=-3
add 8 to both sides to get rid of -8
y=5
now to check the answer, plug in x=-4 and y=5 into the equations
-4-3(5)=-19
-4-15=-19
2(-4)+5=-3
-8+5=-3
NEED HELP!!!!! Evaluate 3x - y + z, when x = 2, y = -4, and z = 10
Answers
Answer:
20
Step-by-step explanation:
3x-y+z; x=2, y=-4, z=10
3x-y+z
3*2-(-4)+10
6+4+10
10+10
20
Step-by-step explanation:
Step 1: Find the solution
[tex]3x - y + z[/tex]
[tex]3(2) - (-4) + (10)[/tex]
[tex]6 + 4 + 10[/tex]
[tex]20[/tex]
Answer: [tex]20[/tex]
If we draw a ball from an urn containing 10 numbered balls, with seven red balls that are numbered 1, 2, 3, 4, 5, 6, 7 and three that are green and are numbered 8, 9, 10, what is the probability of drawing a ball that is red and even?
a. 2/5
b. 3/10
c. 1/2
d. 4/7
Answers
Answer:
b
Step-by-step explanation:
Please HELP WILL MARK BRAINLIEST 25 POINTS!!!!
The rectangle shown is dilated by a scale factor of 15.
What is the length of side A'B' and side B'D'?
Answers
Answer:
AC=8 and CD=15
Step-by-step explanation:
Answer:
8 AND 15 :)
Step-by-step explanation:
A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answers
Answer:
1 1/5 cups of butter
Step-by-step explanation:
4/5=2
=3
4/5 x 3=12/5
12/5 / 2
12/5 x 1/2=1 1/5
Rhoda completed the right column of the table to help her find the sum of One-half and One-third.In which step did her first error occur? Step 1 Step 2 Step 3 Step 4
Answers
Answer:
her error was in the second step
Step-by-step explanation:
her fraction was 1/2 but the way the bar was split is wrong it was supposed to have only two sides with 1 shaded in but has 6 with 3 shaded in
i dont get this at all
Answers
Answer: Not sure what you are asking; please edit your question so that I have the ability to assist you.
Step-by-step explanation: If the teacher did not include much information, go ahead and email her and let her know. I am not sure what the work you are doing in class is but try to ask her if she could help and if you need anything else, let me know!
Stay safe. Stay warm.
<3
-Carrie
Using the data set provided below, order the values from greatest to least.
41, 45, 45, 47, 50, 53, 54, 55
Select one:
A. Mean > Median > Mode
B. Median > Mode > Mean
C. Mode > Mean > Median
D. Mean > Mode > Median
E. Median > Mean > Mode
Answers
What do the variables in this problem stand for V=Bh
V=
B=
h=
Please help
Answers
H= Height
V=Volume
B= base
h= height
therefore: volume= base(height)
Please help meeeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answers
Which is the graph of x^2/9-y^2/4=1
Answers
Answer: A (top left box)
Step-by-step explanation: