Answer:
5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)
Step-by-step explanation:
Let's find out how much each tractor can plow each hour.
[tex]\frac{600^{2} }{3*2}=60,000m^{2}[/tex] per tractor per hour
[tex]1,000^{2}=1,000,000m^{2}[/tex] is the area of the field of side length 1,000 meters
5 tractors can plow [tex]300,000m^{2}[/tex] per hour.
[tex]\frac{1,000,000}{300,000}=3.33[/tex] hours
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
Which of the following represents a function?
A.(4, 1), (4, 2), (4, 3), (4, 4)
B.(6, 8), (-2, 4), (7, 7), (6, 5)
C.(5, 2), (6, 2), (-5, -2), (-6, -2)
Shasta pools is building my pool. I want the pool to be 8ft longer that it is wide and I want it to cover 240 square ft. Which equations would I use to model the area of the pool? *
Answer:
area = w² + 8w
Step-by-step explanation:
the equation for calculating the area of something is:
area = length x width
length = 8 + width
area = (8 + width) x width
I will use w instead of width
area = w² + 8w
we can solve for w:
240 = w² + 8w
w² + 8w - 240 = 0
(w - 20) x (w + 12) = 0
so we know that the length of the pool is 20 feet and the width is 12 feet
I need help finding the domain
Answer:
Range: [-4, 2]
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
According to the graph, our y-values span from -4 to 2. Since both points are closed-dot, they are included in the range:
[-4, 2] or -4 ≤ y ≤ 2
What is the value of x that makes the statement true?
12x + 16 = 50x - 3
x =
Answer:
x = 1/2Step-by-step explanation:
Given
12x + 16 = 50x - 3Solving for x
12x + 16 = 50x - 350x - 12x = 16 + 338x = 19x = 19/38x = 1/2Y'all I need help with this !!!
Answer:
see explanation
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, thus
5x + 20 + 7x - 8 = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Thus
∠ RQP = 10x = 10(14) = 140°
∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )
∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°
∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°
Answer:
what do you need help with
Step-by-step explanation:
Pls help with this question
Answer:
Opposite sides are congruent
Step-by-step explanation:
First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.
Sorry if its wordy I hope this helps : )
PLEASE HELP I NEED THIS TODAY!!
Answer:
Area= 530.66
Step-by-step explanation:
So first, you want to set up your equation...
3.14(13^2)
3.14(169)
A=530.66
Hope this helped!
answer
is 169then pie symbol ft^2 or you can write it as 530.66ft ^2
Step-by-step explanation:
you multiply 13 and 13 and that's 169 then you have to add pie on there which is 3.14 so you multiply that or just add the pie symbol and then you ft. squared
hope this helps
Kathy’s father thinks she spends too much time on the phone. He wants to see how much time she spent talking last month, but he does not have the phone bill; he has only his checkbook, which tells him that her bill last month was $110. The phone company charges a monthly base fee of $50, plus ten cents per minute. How many minutes did Kathy spend on the phone last month?
Answer:
600 minutes
Step-by-step explanation:
110-50= 60
60 divided by 0.10= 600
what is the answer will be
Answer:
a. True
Step-by-step explanation:
Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportionalThree students wrote equations on their dry erase boards 1/4=20% 7/10=.70% 13/20=65% Which of these students wrote an equation that is correct?
A. Student one and Student 3
B. Student 2 and Student 3
C. Student 2
D. Student 3
PLEASE HURRY THIS EXAM IS DUE TONIGHT!!!
Answer:
B
Step-by-step explanation:
I NEED HELP on THESE QUESTIONS EXCEPT ONE. Only do 2 and 3
Answer:
201° and 60°
Step-by-step explanation:
(2)
∠ FHG = [tex]\frac{1}{2}[/tex]( arc ES + arc FG ), that is
128° = [tex]\frac{1}{2}[/tex] ( 55 + FG ) ← multiply both sides by 2
256° = 55° + FG ( subtract 55° from both sides )
201° = major arc FG
(3)
The measure of the secant- tangent angle FTS is half the difference of the intercepted arcs, that is
∠ T = [tex]\frac{1}{2}[/tex] ( arc FS - arc US )
= [tex]\frac{1}{2}[/tex] (170 - 50)°
= [tex]\frac{1}{2}[/tex] × 120°
= 60°
A man traveled a certain number of miles by automobile and then nine times as far by airplane. His total trip was 600 miles in length. How far did he travel by plane?
x represents miles by: automobile or airplane
9x represents miles by: automobile or airplane
Answer:
The person traveled 540 miles by plane and 60 miles by automobile.
Step-by-step explanation:
The options are not given to choose from, but this question can be solved as it will only have one answer.
Let the miles traveled by automobile be = x
Then, miles traveled by airplane will be = 9x
Now, the total trip length was = 600 miles
4
The graph below shows the number of cases of candy bars four students sold for a fund rainer and the
total number of candy bars in those cases. How many candy bars are in each case?
Candy Bar Fundraiser Data
Jack
200
100
160
Neil
140
120
Lols
Bars Sold
100
30
60
40
Mike
20
0
8
10
12
Cases Sold
A. 50
B. 30
C. 25
D. 10
Answer:
the answer is c, 25.
Step-by-step explanation:
x+4 over negative 5 =3
Answer:
x = -4 3/5 or -4.6
Step-by-step explanation:
(x+4)/-5 = 3
Divide -5 from both sides
x + 4 = -3/5
Subtract 4 from both sides
x = -4 3/5
hey help me pls:^
brainlisht
Answer:
84
Step-by-step explanation:
plz mark brainliest
Answer:
the right answer of n is 84
Problems are in the picture below.
Answer:
Domain for all of them are from (-infinity, infinity) (ALL REAL NUMBERS)
Range for 7 is (-infinity, 3]
Range for 8 is [-4, infinity)
Range for 9 is (-infinity, 2]
I hope this helps and good luck!
While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground. As the plane starts its descent (at time x = 0), you record the following data:
Time, x (min.)
Altitude, y (km)
0
12
2
10
4
8
6
6
8
4
10
2
If you were to graph this information, the resulting line would represent a linear function. Using this information from the table and the information on your graph, by how much does the altitude of the plane change for each three-minute change in time during the descent.
a.
The altitude of the plane decreases 2 kilometers for each 3 minutes into the descent.
b.
The altitude of the plane decreases 3 kilometers for each 3 minutes into the descent.
c.
For every 3 minutes, the altitude of the plane increases 3 kilometers.
d.
For every 3 minutes, the altitude of the plane increases 2 kilometers.
Please select the best answer from the choices provided
Answer:
its c
Step-by-step explanation:
Answer:
Its actually B.
Step-by-step explanation:
This is the graph of Bob's riding his bicycle on Sunday. He started in the morning and after biking for sometime he stopped at McDonald to eat breakfast. How long he stayed at McDonald?
Answer:
you dont have an image?
how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
Marco buys a certain brand of shampoo for $7.25 plus 7.5% tax. How much will Marco pay in total for the shampoo? (Round your answer to the nearest hundredth)
Answer:
$6.35
Step-by-step explanation:
Answer:
$7.79
Step-by-step explanation:
7.25 + 7.25(0.075)
7.25 + ~0.54
7.79
What is the product of 3/5
and 4 3/4
Answer:
A
Step-by-step explanation:
4 3/4=(4*4)+3 / 4=19/4
3/5 * 19/4= 57/20
=2 17/20
What is the perimeter of the equilateral triangle if one side is 15 feet show ur working out and thank u
Answer:
45 feet
Step-by-step explanation:
An equilateral triangle has 3 sides of equal length. If one side is 15 then the other two sides will also be 15 feet long, if you do 15 x 3 you get 45 feet.
which expression is equivalent to -51 -(-60)
Answer:
-51 + 609I hope this helps!
rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars
Answer:
INTEREST=Rs 3960
Step-by-step explanation:
INTEREST=PTR/100
INTEREST=12000*3*11/100
INTEREST=3960
Answer:
rs 16411.57
Step-by-step explanation:
12000×11%÷100=1320
1320+12000=13320×11%÷100=
1465.20+13320=14785.20
14785.20×11%÷100%=1626.37
1626.37+14785.20=16411.57
Ans =16411.57
Find 62(9) . Express your answer as a fraction in simplest form
Answer:
558/1
Step-by-step explanation:
Answer:588
Step-by-step explanation:
Find the area of the following figure.
18 square units
16 square units
12 square units
24 square units
Simplify
2 x m x n x 8
The simplification for the given expression is 16mn.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
2 x m x n x 8
Since multiplication of two algebraic terms can be done by first multiplying their coefficients and then the variables.
Apply the above mentioned rule to get,
2 x m x n x 8
= 2 x 8 x m x n
= 16 x m x n
= 16mn
Hence, the given expression is simplified as 2 x m x n x 8 = 16mn.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
PLEASE I NEED HELP ITS URGENT TOO!!!
Answer:
PLEASE I NEED HELP ITS URGENT TOO!!!
An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes