The length and width of the screen is 9.71 inch and 12.71 inch.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Area of triangle = Length * Width
Let L be the length and W be the width of the rectangle.
Now it is given that,
Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.
⇒ L + 3 = W
Therefore area is given as,
A = L * W
Put the value of W we get,
A = L * (L + 3)
Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2
Length = 2L
Width = W - 1
Thus area becomes,
A' = 2L(W - 1)
Now, the area would be increased by 104 in^2
A' = A + 104
Putting the value of A in A' we get,
A' = L * (L + 3) + 104
Now putting the value of A' we get,
2L(W - 1) = L * (L + 3) + 104
Expanding we get,
2LW - 2L = L^2 + 3L + 104
Since L + 3 = W
Thus, putting W in above we get,
2L(L + 3) - 2L = L^2 + 3L + 104
Expanding the brackets we get,
2L^2 + 6L - 2L = L^2 + 3L + 104
Solving we get,
2L^2 + 4L = L^2 + 3L + 104
Taking all the terms together we get,
2L^2 + 4L - L^2 - 3L - 104 = 0
Solving alike terms we get,
L^2 + L - 104 = 0
Solving the above equation we get,
L = 9.71 inch, -10.71 inch
Since, Length cannot be negative
Thus,
L = 9.71 inch
Put the value of L in W we get,
9.71 + 3 = W
⇒ W = 12.71 inch
Thus the required value of length and width is,
Length = 9.71 inch
Width = 12.71 inch
Thus, the length and width of the screen is 9.71 inch and 12.71 inch.
To learn more about rectangle :
brainly.com/question/15759125
#SPJ1
HELP PLEASE i need help 100 points and a brainiest do not just steal the points
Answer:
which answer comment back and I will answer you I am not trying to steal your points comment back
follow me;)
From 12.5 liters of coolant containing 13.4% antifreeze, 5.50 liters are removed.
If 5.50 liters of pure antifreeze is then added, how much
antitreeze will be con
tained in the fina mixture?
Answer:
6.438 [litres].
Step-by-step explanation:
1) the condition '5.50 liters are removed' means the coolant 12.5-5.5=7 [litres] with 13.4% solution;
2) the condition 'coolant containing 13.4% antifreeze' means 7*0.134=0.938 [litres] of pure antifreeze in the 7 litres coolant;
3) the condition '5.50 liters of pure antifreeze is then added' means 0.938+5.5 [litres];
4) finally, it is contained 0.938+5.5=6.438 [litres] of antifreeze will be contained in the final mixture.
Tell whether the triangles are similar.
Answer: i'm gonna say the other one is smaller
Step-by-step explanation:
each side is technically the same. that one is only smaller
helppp just number 1 :,(
Answer:
9
Step-by-step explanation:
The distance is the positive difference in the coordinates.
[tex]BD=|-6-3|=9 [/tex]
Jonas’s dropped Hey San back from a hot air balloon at a target that is 250 m below the balloon at this moment to sandbagger 75 m below the balloon which of the following expressions represents the distance between the sand bag and the target
Expressions which represent the distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
Jonas's dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon.
At this moment, the sandbag is 75 meters below the balloon.
Then, distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
Hence, expressions which represent the distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
For more information about distances, visit https://brainly.com/question/26046491
#SPJ9
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $36.40 per half hour, which includes a 4% sales tax. Determine the cost of a half hour rental before tax.
The equation is _____. The cost of a half hour rental is $____ per half hour.
(Type an equation using x as the variable.)
Answer: $40
Step-by-step explanation:
Given the following :
Total cost of renting a personal water craft = $36.40
Sales tax charged = 4%
Let the pretax cost = y
Therefore,
total cost = pretax cost + tax
$36.40 = y + 4% of y
$36.40 = y + 0.04y
$36.40 = 1.04y
y = $36.40 / 1.04
y = $40
Therefore, the rental cost of a personal watercraft for half an hour before tax is $40
What is the area of the triangle?
Arrange these numbers in order of size
from smallest to largest.
13.07
3.76
3.8
13.45
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
Only answer if you are 100%. sure but pls answer quickly
Answer:
It's A, 9.23 × 10⁻⁴
Answer:
A
Step-by-step explanation:
All my work is provided in the attached screenshot!
Find the product of 42/8 × 15/14
Answer:
There are 3 different ways to write it
Step-by-step explanation:
the first one is:
Exact form 45/8
decimal form 5.625
mixed number 5 5/8
Hope this helps
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Can someone pls help me with this question
Domain: (-infinity, 5)
Range; [-3, infinity)
In a survey of 1010 investors, it was determined that 650
invested in stocks, 595 in bonds and 340 in both stocks and
bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds?
Nancy reads 10 pages of her a book a day. How many pages does she read in 4 days?
Answer:
40 pages
Step-by-step explanation:
10 pages per day times 4 days equals forty pages in four days.
Hope this helps! :)
Help please just need to see if I’m doing this right
3x = 3x is true for all values of x.
Hence, x| x is a set all real numbers. ( -∞,∞ )
What is the solution to the given equation?Given the equation in the question;
3(2x + 2) - 3x = 6 + 3xx = ?Remove the parenthesis using the distributive property.
3(2x + 2) - 3x = 6 + 3x
3×2x + 3×2 - 3x = 6 + 3x
6x + 6 - 3x = 6 + 3x
6x - 3x = 6 - 6 + 3x
6x - 3x = 3x
3x = 3x
3x = 3x is true for all values of x.
Hence, x| x is a set all real numbers. ( -∞,∞ )
Learn more about equations here: brainly.com/question/14686792
#SPJ1
In a survey of 100 resorts, it was found that
28 had a spa.
44 had a children's club.
11 had a spa and children's club.
9 had all three features.
Complete parts a) through e).
59 had a fitness center.
16 had a spa and a fitness center.
21 had a fitness center and children's club.
a) How many of the resorts surveyed had only a spa?
(Type a whole number.)
Out of 100 resorts surveyed, it was found out that 28 resorts only have spa inside them.
We have a survey of 100 resorts.
We have to determine how many of the resorts surveyed had only a spa.
What are sets ?Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form.
According to the question -
Out of 100 resorts, we have to find the resorts that contain only spa.
The whole number representing the number of resorts that only have spa is 28.
Hence, 28 out of 100 resorts only have spa.
To solve more questions on sets, visit the link below-
https://brainly.com/question/14532245
#SPJ1
Lance is putting a new countertop in his kitchen and is comparing the cost of granite and marble. The cost of granite is $42.78 a square foot. The cost of marble is $57.23 a square foot. If Lance needs 30.25 square feet of countertop, how much more would he pay for the marble countertop than the granite countertop?
Lance would have to pay $437.1125 more for the marble countertop than the granite countertop .
Cost of granite per square feet = $ 42.78
Cost of marble per square feet = $ 57.23
Lance needs 30.25 square feet of countertop,
therefore ,
if he use granite , he would have to pay
30.25 * ( 42.78 ) = $ 1294.095
if he use marble , he would have to pay
30.25 * ( 57.23 ) = $ 1731.2075
Hence , he would have to pay $ 1731.2075 - $ 1294.095 = $437.1125 more for the marble countertop than the granite countertop .
To learn more on unitary method :
https://brainly.com/question/24587372
#SPJ9
Select all the correct answers.
Which three pairs of side lengths are possible measurements for the triangle?
45°
B
45°
BC = 10, AC=10√/2
AB= 9, AC = 18
OBC:
= 10√3, AC = 20
AB = 9√2, AC
AB= 7, BC = 7√3
AB
= 18
= 14, BC = 14
Answer:
1 , 4 , and 6
Step-by-step explanation:
so , in a 45 45 90 triangle , the lines that are the same length are x . the hypotenuse ( the long diagonal line ) is gonna be [tex]x\sqrt{2}[/tex] . so using that i got the answers . :)
The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
here, we have,
The formula for a 30-60-90 triangle is this:
1) Side opposite to 30 will be value a.
2) Side opposite to 60 will be value a√3
3) Hypotenuse will be 2a.
AB is opposite of the angle with 30 degree measurement.
BC is opposite of the angle with 60 degree measurement.
The sides of an isosceles right triangle are in the ratio,
1:1:√2
where √2 is the hypotenuse.
For the example, BC = 2√2, then AC = 2√2 x √2 = 4.
Therefore, the three pairs are;
1. (AB = 6, BC = 6)
5. (AB = 4, AC = 4√2)
6.(BC = 2√2, AC = 4).
To know more about Trigonometry follow;
brainly.com/question/24349828
#SPJ5
Solve this
m−152=3+m10−3
m=?
Answer: -152/9
Step-by-step explanation:
m−152=3+m10−3
m−152=3+10m−3
m−152=10m+3−3
m-152=10m
-152=9m
m=-152/9
251,31 rounded to the nearest thousand
Answer:
25000
Step-by-step explanation:
hkyfjntrdhjiyp[hiut0yitrjiypogk.j,rf]kirt6otykkopmdtopmopijmt7oijmuopr6[pj[pgtjkl[pktgp[jkvgpikpg;jgkp[j[fc
If AB = 63° and BE = 0°, what is the measure of LABE?
The measure of angle ABE is 63 degrees
How to determine the measure of angle ABE?The given parameters are
<AB = 63°
<BE = 0°
The measure of angle ABE is calculated using
<ABE = <AB + <BE
This is so because the angles AB and BE share a common point at B
So, we have
<ABE = 63 + 0
Evaluate the sum
<ABE = 63
Hence, the measure of angle ABE is 63 degrees
Read more about angles at:
https://brainly.com/question/7620723
#SPJ1
Complete question
If AB = 63° and BE = 0°, what is the measure of <ABE?
Find p75
(Do not Round)
Answer:
a
Step-by-step explanation:
the apple is a baddie
If a number is 10 more than two-thirds of the same number, then find the number.
Answer:
30
Step-by-step explanation:
Hello!
Let the unknown number be x.
Converting from English to Algebra, we are given the equation:
[tex]x = 10 + \frac23x[/tex]Solve for x by isolating the variable.
Solve for x[tex]x = 10 + \frac23x[/tex] Multiply everything by 3 to remove the fraction[tex]3x = 30 + 2x[/tex] Subtract 2x from both sides[tex]x = 30[/tex]The value of that number is 30.
89% of 195= What + rounding
Answer:
173.55
Step-by-step explanation:
or if you round 174
Write a real-world problem that could be represented by the inequality below. 0.1x + 65.5 < 0.5x + 60
Please help
The real-world problem for the given inequality is [tex]x > 13.75[/tex]
How do you describe inequality?
An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other. The phrase "[tex]a\geq b[/tex]" denotes that an is more than or equal to b.
Given:
[tex]0.1x+65.5 < 0.5x+60[/tex]
Place the unknown terms on the equation's left side:
[tex]0.1x-0.5x < 60-65.5\\-0.4x < -5.5[/tex]
Divide the above equation with 0.4
[tex]\frac{-0.4x}{0.4} < \frac{5.5}{0.4}[/tex]
[tex]-x < \frac{-55}{4}[/tex]
[tex]-x < -13.75[/tex]
[tex]x > 13.75[/tex]
Therefore, the real-world problem for the given inequality is [tex]x > 13.75[/tex]
To learn more about inequality from the given link
https://brainly.com/question/11613554
#SPJ1
Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
3.5 x 108
0.35 x 109
3.5 x 109
0.35 x 1025
The division of the numbers in indices will be B. 0.35 × 10^9
How to compute the value?It should be noted that the information is about the division of indices.
This will be:
(3.185 × 10^17) / (9.1 × 10^8)
= 0.35 × 10^9
In conclusion, the correct option is B.
Learn more about division on:
brainly.com/question/25289437
#SPJ1
given: x+y=z, w+v=z, w=y; prove x=v
If you are 48 Inches how tall are you in cm? round to the nearest tenths 1in=2.54 cm
Answer: 121.9
Step-by-step explanation:
2.54 × 48 is 121.92
Answer: 121.9
Step-by-step explanation: 48×2.54=121.
subtract the sum of - 42 and -147 from the difference of - 283 and -415
Answer:
Sum of −42 and −147
=−42+(−147)=−42−147=−189
Difference of −283 and −415
=greater number−smaller number=−283−(−415)=415−283=132
Subtracting −189 from 132
=132−(−189)=132+189=321
The salary of salesman per month is Rs. 20000. He gets Rs. 30000 per month with commission, If he gets commission out of Rs. 500000 then, a. What is commission. _b. Calculate the commission rate. .c. Write the formula of commission.
(a) The total commission is Rs. 1,66,666.67.
(b) The commission rate is 33.34%.
(c) The formula for commission is commission rate * money.
The salary of the salesman is Rs. 20,000 per month.Let the commission of the salesman per month be "x".The total amount earned, including the commission, by the salesman per month is Rs. 30,000.The commission for the salesman per month is total money minus the base salary of the salesman.The commission of the salesman per month is Rs. 30,000 - Rs. 20,000.The commission of the salesman per month is Rs. 10,000.The commission rate is the amount of commission divided by the total amount earned.The commission rate is (10,000/30,000)*100%.The commission rate is (1/3)*100%.The commission rate is 33.34%.The total amount is Rs. 5,00,000.The total commission the salesman gets is the product of his commission rate and the total amount of money he gets.The total commission is 33.34% * Rs. 5,00,000.The total commission is Rs. 1,66,666.67.The formula for commission is commission rate * money.To learn more about commission, visit :
https://brainly.com/question/20987196
#SPJ9
Pls answer this I will mark the brainliest
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answer:
Mass of the basket of fruits ≈ 3 kg
Step-by-step explanation:
Gravitational Potential Energy is the energy stored in an object as a result of its height.
The formula is
GPE = m . g . h where m = mass, g = gravitational force (9.8 N/kg) and h = height (All measures are in metric system)
Therefore m = GPE/(g.h)
Here GPE = 44.12 and h = 1.5m
mass = 44.12 ÷ (9.8 x 1.5) = 44.12 ÷ 14.7 ≈ 3 kg
