Answer:
The side length of the prints is approximately 34.785 inches.
Step-by-step explanation:
First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:
[tex]A = l^{2}[/tex] (1)
Where [tex]l[/tex] is the length of the side, measured in inches.
And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:
[tex]\frac{A}{k} = l'^{2}[/tex] (2)
If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:
[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]
[tex]l' = \frac{l}{\sqrt{k}}[/tex]
[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]
[tex]l' \approx 34.785\,in[/tex]
The side length of the prints is approximately 34.785 inches.
sorry but i have another question :| tysm all yall for helping meee ^w^
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Answer:
4: {8, 12, 16, 24}7: {7, 42, 49}neither: {6, 11, 17}Step-by-step explanation:
Looking at the numbers individually, we have ...
16 = 4×4
42 = 2×3×7
6 = 2×3
17 = 1×17 (prime)
12 = 3×4
49 = 7×7
24 = 2×3×4
7 = 1×7 (prime, a multiple of 7)
11 = 1×11 (prime)
8 = 2×4
__
Multiples of 4:
16, 12, 24, 8
Multiples of 7:
42, 49, 7
Multiples of neither:
6, 17, 11
Grocery Mart has cookies on sale for $3.84 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store has a better deal on cookies?
Grocery mart:
12÷$3.84=3.125
Food Shoppe:19÷$5.70=3.333
so grocery mart is cheaper by
0.2075333333
Answer:
grocery mart has cookies on sale for $3.84 is a better deal
Step-by-step explanation:
Please help me with 47 and 48
Answer:
42. -1
48. 2
Step-by-step explanation:
Answer:
-1
2
Step-by-step explanation:
True or False:
cot = 1/tan
Answer:
I think its true??? right... its true
Step-by-step explanation:
Answer:
it is true
Step-by-step explanation:
In January, Dawn earns $9.25 allowance. She earns 3 times as much in February. If during March, she earns $5.75 more than she did in February, how much allowance does she earn in March?
Answer:
$33.50
Step-by-step explanation:
$9.25 is how much she has in January and she earns 3 times as much in February. So multiply 9.25 and 3, then you get 27.75. We need to find out how much she makes in March so simply add $27.75 and $5.75.
Your answer will be $33.50
please help me with number 5 it’s been due
Answer:
The equation is;
y = 1/2x + 7
Step-by-step explanation:
Here, we want to write in the slope-intercept form, the equation that goes through the two points
The general form of this is;
y = mx + b
where m is slope and b is the y-intercept
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1)
m = (8-6)/(2-(-2))
m = 2/4 = 1/2
So we have ;
y = 1/2x + b
To get b, we use any of the two pints
8 = 1/2(2) + b
8 = 1 + b
b = 8-1
b = 7
PLEASE HELP urgent math questions
Answer:B
Step-by-step explanation:
A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month. Which inequality can be used to determine how many more minutes Tom can use this month without going over the 500-minute limit?
A. 230 + m > 500
B. 230 + m greater-than-or-equal-to 500
C. 230 + m < 500
D. 230 + m less-than-or-equal-to 500
Answer:
230 + m < 500
Step-by-step explanation:
The inequality shows that the combined total of 230 and m (stands for minutes Tom can use) is less than 500.
If your friend is driving at a speed of 25 miles per hour, how many miles per second is your
friend traveling?
Answer:
0.0069444444
Step-by-step explanation:
??
The multiplicative verse of
(3x+5) 1/3
Answer:
tanother way of writing this is the cube root of3x+5
HELP, WILL GIVE BRAINLIEST!!!!!!
What type of association is shown by the scatterplot?
linear, strong
linear, weak
nonlinear, strong
nonlinear, weak
Answer:
Non-linear, I believe its weak
Step-by-step explanation:
You can see clearly that the lines are not tightly packed, and they arent making a line.
Let me know if you need more help! :)
Hope this helps!
Q. A triangle with side lengths of 20, 26, and 15 is classified as what type of triangle?
O Right
O Not enough information
O Acute
O Obtuse
Answer:
Obtuse
Step-by-step explanation:
It's definitely not a right triangle.
And one angle is greater than 90 degrees.
~Please I really need help~ Alex works as a carpenter making wooden tables. He is guaranteed a base pay of
$300 per week, and also earns $50 per completed table. Write an equation to
determine Alex's weekly pay. He hopes to make at least $800 per week. How many
tables per week does he need to make?
Answer:
Alex needs to make 10 tables per week.
Step-by-step explanation:
If his base pay is $300, then subtract it from $800, you get $500. Then divide $500 by how much Alex earns per table, $50, then you get 10. Alex needs to make 10 tables per week.
Please help! To determine the height of the CN Tower in Toronto, Ontario, Canada a person stands away from the base of the tower and measures the angle of elevation to the top of the tower to be 60°. After moving 118 meters closer to the tower, the angle of elevation to the top of the tower is 70°. A. How tall is the CN tower? B. How far was the person standing from the base of the tower when each angle measurement was taken?
Answer:
A right triangle is formed by the tower, a point 1000m from the tower
Use the tangent. let h = the height of the tower
tan(28.81) = h%2F1000
h = 1000 * tan(28.81)
h = 550 meters
Step-by-step explanation:
Lauren wants to build a model
airplane using a scale where 2 inches
represents 15 feet. If the airplane is
75 feet long, how long should the
model be?
Answer:
Step-by-step explanation:
you got this i believe in you!
Ms. Taylor's checking account changes by-$1146 every year on her
electricity each year. How much does her account balance change per
month?
Answer:
-95.5
Step-by-step explanation:
if you do -1146 divided by 12 you get -95.5
Can you guys please answer this it is due in 15 mins I really need help with all of them!
Answer:
3) is D
4)is A
5)
6)B
Step-by-step explanation:
hdhhdhdjd
To win the recycling contest, you must collect a total average between 83 and 87 pop tabs for 4 weeks, inclusive. Suppose you collected 82, 86, and 84 pop tabs during the first three weeks of competition. What are the possible number of pop tabs you can collect during the last week in order to win the recycling contest?
Write an inequality where X is the number of pop tabs you can collect during the last week. Then solve to find out the possible number of pop tabs you can collect.
Answer:
Inequality:
83 ≤ (82 + 86 + 84 + x)/4 ≤ 87
Step-by-step explanation:
You must collect no less than 80 and no more than 96 pop tabs.
A class of 36 students has 18 boys. What is the ratio of girls to boys? What is the ratio of boys to girls?
Answer:
18:18
Step-by-step explanation:
You first do 36-18 and then add your answer with the 18 to check it and correct it.
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} [/tex]
solve the proportion. Round to the nearest hundredth if necessary.
2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Answer:
3
Step-by-step explanation:
2x+2 x 2= 10
2x + 4 = 10
-4 -4
2x= 6
divide them by 2 to get x by itself
x=3
Please help, thank you
I found 30
all I did was 125÷5 which is 25
and 1.2x25 which is 30
Can anyone help me please
Answer:
11 im pretty sure y = 11 in your question
needing help with this problem
Answer:
The answer is x+6
Step-by-step explanation:
The Y intercept from the translated unit and the one before are 6 units apart
The measures of 13 of the 14 angles of a 14−gon add up to 2,016°. What must the fourteenth angle measure be?
Answer:
[tex]x = 155 \frac{1}{13}[/tex] or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.
Step-by-step explanation:
2,016 is the sum of 13 identical numbers. Let's say the unknown number is [tex]x[/tex]. We'll now write an equation to solve it.
[tex]13x = 2016[/tex]
Divide both sides by 13.
[tex]x = \frac{2016}{13}[/tex]
Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.
13 goes into 2016 155 times.
Here, I'll check for you.
[tex]13 * 155 = 2015[/tex]
So, if we were to turn this into a mixed number, we'd get something like this.
[tex]x = 155 \frac{1}{13}[/tex]
That should be your fourteenth angle measure.
Write -8 5/6 as the decimal round to the nearest hundredth
Answer:
-8.83
Step-by-step explanation:
I took 5/6 and converted into a decimal and it is 0.83333333333 and it is 0.83 rounded to the nearest hundredth and then I added -8 to get -8.83.
Question Help
You invested $23,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was
$2040, how much was invested at each rate?
The amount invested at 8% is $
The amount invested at 9% is
Enter your answer in each of the answer hoxes
Can y’all help me with this math problem please! I don’t understand
KL = 23
so you just have to add both of the segment lengths together.
each individual equation is already given in the image, so I'll substitute it out below:
JK + KL = JL
4x+2 +4x+3 = 45
8x + 5 = 45
8x = 40
x = 5
BUT WE'RE NOT DONE. plug in 40 for the variable X:
KL = 4(5) + 3
KL = 20 + 3
KL = 23
now i'll check my answer really quickly:
23 + 4(5) + 2 = JL
23 + 20 + 2 = JL
23 + 22 =
45
therefore, KL is 23
A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in centimeters at the end of x weeks. The function y= 2.5x+14.5 gives the hight of plant b in centimeters at the end of x weeks
Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
8. Felicity bought 34 of a pound
of hamburger. She used 12 of the
hamburger for dinner. How much
hamburger did she use?
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Answer:
3/8 pound
Step-by-step explanation:
If Felicity started with 3/4 pound and used 1/2 of it, then the amount she used was ...
(1/2)(3/4 pound) = (1·3)/(2·4) pound = 3/8 pound
Felicity used 3/8 pound of hamburger for dinner.