The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 36 inches wide, and the DVD cover art is 6 inches wide. If the diagonal of the poster is 4 feet, what is the diagonal of the DVD cover art?
Answers
Now that we have our proportionality constant lest apply it to the diagonal of the poster to find the diagonal of the DVD cover. But notice that the diagonal of the poster is in feet not inches, so we need to convert 4 feet to inches first. Remember that 1 foot = 12 inches, so lets use that proportion to set up our conversion fraction:
[tex](4feet)( \frac{12inches}{1 foot} )= 48inches[/tex]
The only thing left now is shrunk, divide, the diagonal by our proportionality constant [tex]k[/tex]
[tex] \frac{48}{k} = \frac{48}{6} =8[/tex]
We can conclude that If the diagonal of the poster is 4 feet, the diagonal of the DVD cover will be 8 inches.
Related Questions
You buy 8 packs of markers with 20 markers in each pack. You already had 10 markers. Which equation shows how to calculate the total number of markers, m, you have?
Answers
[tex](20 \times 8) + 10 = y[/tex]
I couldn't put m.
So y is m
Answer: [tex]m= 8(20)+10[/tex]
Step-by-step explanation:
Given : The number of markers in each of 8 pack = 20
Then, the number of markers in 8 packs = 8 x 20 = 8(20)
Also, You already had 10 markers.
Then, the total markers you have now = Number of markers in 8 packs+ 10
= 8(20)+10
If we denote the total number of markers be 'm'.
Then, the required equation will be :-
[tex]m= 8(20)+10[/tex]
Hence, the equation shows how to calculate the total number of markers, m, you have : [tex]m= 8(20)+10[/tex]
Use the net to compute the surface area of the three-dimensional figure. A) 210 units2 B) 225 units2 C) 240 units2 D) 280 units2
Answers
The surface area of the given three-dimensional figure is 210 square units.
Option A will be the correct answer.
Surface Area of CuboidA cuboid is a three-dimensional figure having length, width and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.
For the given cuboid, length l = 8 , width w = 5 and height h = 5.
Area of Cuboid = 2 lw + 2 lh + 2 wh
[tex]A = 2\times l\times w + 2 \times l\times h + 2\times w\times h[/tex]
Substituting the values in the above formula, the area will be,
[tex]A = 2 \times 8 \times 5 + 2 \times 8 \times 5 + 2\times 5\times 5[/tex]
[tex]A = 210 \;\rm {units}^2[/tex]
Hence, the surface area of the cuboid is 210 square units.
To know more about the surface area of cuboids, follow the link given below.
https://brainly.com/question/9740924.
How deep is a well that takes eight cranks on the six- inch diameter windlass to raise the bucket?
Answers
What happens when you multiply any number by 10
Answers
10 x 6 =
1 x 6 = 6
60
10 x 6 = 60
please awnser i fraction form 4 3/4 times 3 3/5 times 15
Answers
(4 + 3/4) (3 + 3/5)×15
Put 3 + 3/5 over the common denominator 5. 3 + 3/5 = (5×3)/5 + 3/5:
(4 + 3/4) (5×3)/5 + 3/5 15
5×3 = 15:
(4 + 3/4) (15/5 + 3/5)×15
15/5 + 3/5 = (15 + 3)/5:
(4 + 3/4) (15 + 3)/5×15
15 + 3 = 18:
(4 + 3/4)×18/5×15
Put 4 + 3/4 over the common denominator 4. 4 + 3/4 = (4×4)/4 + 3/4:
(18×15)/5 (4×4)/4 + 3/4
4×4 = 16:
((16/4 + 3/4)×18×15)/5
16/4 + 3/4 = (16 + 3)/4:
(18×15)/5 (16 + 3)/4
16 + 3 = 19:
19/4×18/5×15
19/4×18/5×15 = (19×18×15)/(4×5):
(19×18×15)/(4×5)
15/5 = (5×3)/5 = 3:
(19×18×3)/4
The gcd of 18 and 4 is 2, so (19×18×3)/4 = (19 (2×9) 3)/(2×2) = 2/2×(19×9×3)/2 = (19×9×3)/2:
(19×9×3)/2
19×9 = 171:
(171×3)/2
171×3 = 513:
Answer: 513/2
The result of 4 3/4 times 3 3/5 times 15 is 513/2.
To multiply the fractions 4 3/4, 3 3/5, and 15, we first need to convert the mixed numbers to improper fractions.
4 3/4 can be written as (4 * 4 + 3)/4 = 19/4
3 3/5 can be written as (3 * 5 + 3)/5 = 18/5
Now we multiply the fractions:
(19/4) * (18/5) * 15 = (19 * 18 * 15)/(4 * 5) = 5130/20
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10:
5130/20 = (5130 ÷ 10)/(20 ÷ 10) = 513/2
Therefore, the result of the multiplication in fraction form is 513/2.
To know more about times, refer here:
https://brainly.com/question/16896012
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simplify and show work 5 1/3+(-3 9/18)
Answers
Step 1:
5 1/3 - 3 9/18
Step 2:
(5-3) + (1/3 - 9/18)
Step 3:
(5-3) + (0.3 - 0.5)
Step 4:
(2) + (-0.2)
Step 5:
1.8
Answer:
1.8
Equivalently:
1 4/5
Please Answer ASAP!
Seventy-five bottles of water are randomly tested from the large inventory in a warehouse. Which term refers to the large inventory of water bottles in the warehouse?
A. outlier
B. parameter
C. population
D. sample
Answers
100 devided by 27-22-3x5+25
Answers
(100:5)-15+25
20-15+25
5+25
=30
The answer to the given mathematical expression is [tex]\(\frac{20}{3}\)[/tex].
To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS.
First, we simplify the expression inside the parentheses:
[tex]\(27 - 22 - 3 \times 5 + 25\)[/tex]
Multiplication comes before addition and subtraction, so we perform the multiplication first:
[tex]\(27 - 22 - 15 + 25\)[/tex]
Next, we perform the subtraction and addition from left to right:
[tex]\(5 - 15 + 25\)[/tex]
[tex]\(-10 + 25\)[/tex]
[tex]\(15\)[/tex]
Now we have simplified the denominator, so the expression becomes:
[tex]\(\frac{100}{15}\)[/tex]
Finally, we divide 100 by 15 to get the result:
[tex]\(\frac{100}{15} = \frac{20 \times 5}{3 \times 5}\)[/tex]
We can cancel out the common factor of 5:
[tex]\(\frac{20}{3}\)[/tex]
Juan will put fencing around the outside of the enclosure. How much fencing does he need for the enclosure?
Answers
Madame pompadour recently purchased velvet-lined doggy basket and a Diamond studded flea collar as a birthday gift for her beloved pet poodle. If the two items cost $3,215.90 and $ 5,850.25 Respectively what was the total bill
Answers
How many triangles can be made if two sides are 4 inches and the angle between them is 90°? (5 points) 1 2 More than 2 None
Answers
1
2
More than 2
None
Answer is: 1
Answer:
The answer is 1. This is because when the lengths of two sides and the angle between them is given, only one unique triangle can be formed.
The Pythagorean theorem is used to prove that a triangle is a(n) triangle.
Answers
The Pythagorean theorem is used to prove that a triangle is a right triangle.
We also have Pythagorean triangle. This is known as primitive right triangle.
The used of the said theorem is to prove that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs. One of the studies said that the theorem is talking about the area of the squares that are built on each side of the right triangle.
Answer:
Right
Step-by-step explanation:
Can you help me answer part B? I dont understand.
Answers
A division equation would be 35 divided by 7=5.
a triangle has a base of 15 in. and an area of 82.5 square inches. what is the height of the triangle? please explain how u found the answer out :)
Answers
.. A = (1/2)*b*h
.. 82.5 in^2 = (1/2)*(15 in)*h
.. 2*(85 in^2)/(15 in) = h
h = 11 in
3. Scatter plots are used to look for a pattern of association, or trend, between
A. one set of values
B. two sets of values
C. three sets of values
D. four sets of values
correct answer get Brainiest
Answers
Jake purchased a box of 1000 candy guitar lollipops to sell in the bakery for20. 00 how much did you pay for each lollipop
Answers
Just divide 1000/20 to see how much you payed for each lollipop. The answer is 50!
Hope this helps!
Delia spent 45 minutes working on her book report. She finished the report at 6:10 p.m. at what time did Delia start working on her report
Answers
just act like the time is 6:00 then minus 45 and add 10 to your answer.
Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4 y=−4x+4 Select the correct answer from the drop-down menu.
Answers
If a system has exactly one or infinite number of solutions then it will be a consistent system.
So, we can solve the given system of equation to get the answer.
y=4x−4 ................(1)
y=−4x+4...............(2)
After equating both the equations we will get,
4x-4= -4x+4
4x-4+4x=4 (Adding 4x to each sides).
8x-4=4
8x=4+4 (Adding 4 to each sides).
8x=8
8x/8=8/8 ( Dividing each sides by 8).
x=1
Now pluging x=1 in equation (1). So,
y=4x−4
=4(1)-4
=4-4
=0
Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).
So, the given system is consistent and coincident.
Answer:
The answer is " Consistent And Independent"
Why? :
When 2 Lines intersect at one point it means it Consistent and Independent
and When the Lines are the same exact thing its Consistent and Dependent
But, when 2 lines don't intersect at all its inconsistent. :)
I also Took The 5.11 Unit Test :)
The equation of the quadratic function represented by the graph y=a(x-3)-1 what is the value of a
Answers
Let a=2, if you like.
a dog pen measures 4 meters wide and has an area of 20 square meters. what is the perimeter of the pen in meters
Answers
So, we use this formula when finding the area of a rectangle:
A = l × w
The formula for perimeter:
P = 2l + 2w
We have the width but we still need the length to find the perimeter. You see, we multiplied the length by the width to get the AREA, but because we want to find the opposite now, we must use the opposite operation as well.
What's the opposite of multiplication?
Division!
Formula for length:
L = A ÷ w
Substitute:
L = 20 ÷ 5
L = 4 meters
Now that we know what the length and the width of the dog pen is, finding the perimeter will be a piece of cake!
Formula:
P = 2l + 2w
Substitute:
P = 2(4) + 2(4)
P = 16 meters
A N S W E R:
The perimeter of the dog pen is 16 meters.
The movie theater received a shipment of candy boxes in a carton that has a volume of about 64,000 cubic inches. Each candy box is 6 inches by 5 inches by 1/2 inch. The carton is completely full. About how many candy boxes are in the carton?
About 2,000
About 10,000
About 1,000
About 4,000
Answers
Volume of a candy box= 6 inx 5 inx 1/2
Volume of a candy box=15 inches³
Then, you have that the total candy boxes in the carton is:
x=640000 inches³/15 inches³
x=4267 candy boxes
About how many candy boxes are in the carton? There are 4267 candy boxes
[tex]V=(6)(5)( \frac{1}{2} )[/tex]
[tex]V=15[/tex]
Now that we know the volume of each candy box, we can divide the total volume 64000 [tex]in^{3} [/tex] by the volume of each candy box to find how many of them are in the carton:
[tex] \frac{64000}{15} =4266.67[/tex]
We can conclude that there are about 4000 candy boxes in the carton.
I have to find the area
Answers
So, if we use this information....
4.2*5.5*1/2=11.55
Area=11.55
5.5 · 4.2 equals 23.1. You don't need the 6.9.
You then need to do 23.1 ÷ 2 which is 11.55 m².
Hope this helps!
(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings
Answers
[tex](64 + 28 + 76) \div 6 = 24.66666666666666666[/tex]
PLEASE HELP BRAINLIEST REWARDED
Jamal drew the function below. Which explains whether or not his function is linear?
A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.
Answers
Hope I helped.Have a wonderful day.
Answer:
A. It is linear because it has a constant rate of change.
Step-by-step explanation:
A straight line graph is possible between two variables x and y only if there is a constant rate of change
y = mx+b is the equation of a straight line in general and here we find rate of change of y with respect to x is constant m which does not depend on x or y.
In other words, throughout the domain a straight line has constant slope.
Here we find that the graph given is a straight line.
Hence option A is suitable answer
A. It is linear because it has a constant rate of change.
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School.
A.
Left-handed: 424
Right-handed: 483
B.
Left-handed: 28
Right-handed: 378
C.
Left-handed: 48
Right-handed: 504
D.
Left-handed: 56
Right-handed: 560
E.
Left-handed: 30
Right-handed: 315
Answers
Answer:
The anwers Is C and E.
A relationship between two quantities is proportional if the ratio between those quantities is always equivalent.
Hint #22 / 4
Let's look at the ratio between right- and left-handed students at East Middle School.
6
0
9
right
5
8
left
=
1
0
.
5
right per left
58left
609right
=10.5 right per left
At East Middle School, there are
1
0
.
5
10.5 right-handed students for every left-handed student.
Hint #33 / 4
Now we can compare the other combinations of values for left-handed and right-handed students. Which ratios are equivalent to the ratio at East Middle School?
So the anwers is C AND E
Answer:
C and E cuz why not
Step-by-step explanation:
*PLEASE HELP!!*
The population of a country is decreasing, and its population (in millions) over six years is shown in the table. Find an exponential regression curve to model this situation.
A.) y = 54.3(.918^×)
B.) y = 67.2(.887^×)
C.) y = 72.8(.842^×)
D.) y = 83.9(.903^×)
Answers
Bob's tire outlet sold a record of tires last month one sales ma sold 165 tires which was 60 percent of the record what was the record number
Answers
165/x=60/100
165 times 100=16500
16500/60=275
x=275
Answer:
The record number was 275 tires.
165/x=60/100
165 times 100=16500
16500/60=275
x=275
Step-by-step explanation:
Use the Distributive Property to multiply. 3(2t – 8)
Answers
Answer 6t-24
If the power required to lift a weight of 10 N in 3 seconds is 60 W, what is the distance the weight moves? A. 1m B. 6m C.18m D.36m
Answers
Power = [work done]/[time taken]
work done=power*time taken
power---------- > 60 W
time taken------ > 3 sec
then
work done=60*3=180 J
and we know
work done=Force*distance
distance=[work done]/[force]
work done=180 J
force=10 N
distance=180/10=18 m
the answer is the option C.18m
2 and 1/3 + 1.5x = 12.3. What is x?
Answers
Here is what I got (Red represents my work, blue represents to follow which steps and highlighter represents what the answer is):