Answer:
NoStep-by-step explanation:
If we assume there is such a proportion, then we have the proportion:
m(x) = kx, where m is amount the person eats, k is coefficient of proportion, x is age of the personFor 5 year old we have:
m(5) = 5kFor 20 year old:
m(20) = 20kFor 60 year old:
m(60) = 60kIn reality this proportion doesn't make sense as 60 year old normally eats less than 20 year old.
HELPPP PLEASE!!!
Luke purchased a warehouse on a plot of land for his business. The gure
represents a plan of the land showing the location of the warehouse and parking
area. The coordinates represent points on a rectangular grid with units in feet.
(0, 60)
(70, 60)
(450)
(39,50)
Warehouse
(4, 20)
(39, 20)
Parking Area
(0, 0).
(50, 0)
(4,0)
Enter your answers to each part in the boxes
Part A
What is the perimeter of the plot of land rounded to the nearest tenth of a foot?
Part B
What is the area of the plot of land that does not include the warehouse and the parking area?
Part C
Luke is planning to put a fence along two interior sides of the parking area. The sides are
represented in the plan by the legs of the trapezoid What is the total length of fence needed to the
nearest tenth of a foot?
Answer:
A: 243.2 B: 1740 C: 42.8
Step-by-step explanation:
The perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For this case, the renamed image is given below.
The slope of AB is: [tex]m_{AB} = \dfrac{50-50}{39-4} = 0[/tex]
The slope of CD is: [tex]m_{CD} = \dfrac{20-20}{39-4} = 0[/tex]
That shows AB and CD are parallel. Similarly, we can show that AC and BD are parallel. Also, we can show that AB and AC are perpendicular.
Thus, ABCD is a rectangle.
|AB| = length of AB = [tex]\sqrt{(39-4)^2 + (50-50)^2} = 35 \: \rm units[/tex]
|AC| = length of AC = [tex]\sqrt{(4-4)^2 + (50-20)^2} = 30 \: \rm units[/tex]
Thus, |AB| and |CD| are of same length because ABCD is a rectangle, and so as |AC| and |BD|.
The area of ABCD = multiplication of length of its two adjacent sides= [tex]35 \times 30 = 1350 \: \rm unit^2[/tex]Area of Warehouse
Similarly, we can show that the sides EI and CD are parallel, thus making CEID a trapezoid. Also, CE is perpendicular to CD and EI, thus, its length can serve as height of the trapezoid CEID.
The length of CD = length of AB = |AB| = 35 units.
The length of EI = [tex]\sqrt{(50-4)^2 + (0-0)^2} = 46 \: \rm units[/tex]
The length of CE = [tex]\sqrt{(4-4)^2 + (20-0)^2} = 20 \: \rm units[/tex]
Thus, area of CEID = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{35 \times 46 \times20}{2} = 16100\: \rm unit^2[/tex] = Area of Parking Area
Similarly, IFGH is a trapezoid, and its height can be taken as the length of GF as GF is perpendicular to its parallel sides.
The length of GF = [tex]\sqrt{(0-0)^2 + (0-60)^2} = 60 \: \rm units[/tex]
The length of IF = [tex]\sqrt{(50-0)^2 + (0-0)^2} = 50 \: \rm units[/tex]
The length of GH = [tex]\sqrt{(0-70)^2 + (60-60)^2} = 70 \: \rm units[/tex]
Thus, area of IFGH = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{50 \times 70 \times 60}{2} = 105000\: \rm unit^2[/tex] = Area of Plot
Length of HI = [tex]\sqrt{(70-50)^2 + (60-0)^2} = 20\sqrt{10} \: \rm units[/tex]
Thus, perimeter of plot = |GF| + |IF| + |GH| + |HI| = 180 + 20√10 units
Area of the plot of land that does not include the warehouse and the parking area = 105000 - 16100 - 3500 = 85400 sq. units
The fencing is done on the legs of the trapezoid CEID which are CE and DI
Length of CE = 20 units,
Length of DI = [tex]\sqrt{(39-50)^2 + (20-0)^2} = \sqrt{521} \: \rm units[/tex]
Thus, the length of the fencing is [tex]20 + \sqrt{521}[/tex] units.
Thus, the perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units
Learn more about distance between two points here:
https://brainly.com/question/16410393
Gym A charges $60 a month plus $5 per visit. The monthly cost at Gym B is represented by y = 7x + 40, where x is the number of visits per month. What conclusions can you draw about the monthly costs of the gyms? Select all correct answers.
Answer:
See the explanation
Step-by-step explanation:
Given data
Gym A charges $60 a month plus $5 per visit
let the number of visits be x, and the total charge be y
Hence the total charge is expressed as
y=5x+60--------------1
Gym B is represented by
y = 7x + 40-----------2
Although I can not find any option, we can conclude that gym A monthly charge is $20 more expensive than gym B
Help Math help help help ASAP
Answer:
Step-by-step explanation:
a) 2,35 x 10^9
b) 2,5 x 10^7
c) 9 x 10^4
Find the smallest side of CDE?
plz help i need this right now
I need help also, how do I choose the brainiest? and how do I also give people gems?
Answer:
x=9
Step-by-step explanation:
Answer:
uhh x=9
Step-by-step explanation:
you choose brainliest by pressing a button that looks like a crown below somones answer that will give them extra points. and i have never heard of gems in brainly.
help me idc if u out the wrong answer
Answer:
3.92522 i used a right triangle caluclator
Step-by-step explanation:
Answer:
3.9 broo
Step-by-step explanation:
Bro use the Sin law
a / Sin A = b / sin B = c / sin C
the missing angle is 180 - (90 + 63) which is 27
so you have one side measure =>
-------------------------------------------------------------------
2 / sin 27 is equal to x / sin 63 solve to proportion, sooo
4.40537853 is equal to x/0.891006524
then: 4.40537853 times 0.891006524 is x
x = 3.92522101
so last choice, 3.9
What is m∠1? HELP please
Answer:
45 degrees
Step-by-step explanation:
The sum of all angles is 180 degrees. Since we know one is 43, we subtract it from 180. 180 - 43 is 137.
The angle with the 88 degrees next to it is supplementary to the given angle, which means the measurement of the angle next to 88 is 180 - 88, which is 92 degrees.
143 - 92 is 45. Hope this helps
cough cough could i have brainliest lol
Miguel and Annie ordered the same sandwich for lunch. Miguel ate 34 of his sandwich, and Annie ate 58 of her sandwich. Who ate more?
Answer:
Miguel
Step-by-step explanation:
What we know:
Miguel ate 3/4 of his sandwich.
Annie ate 5/8 of her sandwich.
First we have to make the denominators equal.
3/4×2=6/8
6 is bigger than 5 so it would be 6/8 or 3/4 and Miguel ate 3/4.
Can I please have brainliest?
What least number must be subtracted from 5650 to get a perfect square? Also find the square root of this perfect square.
Answer:
1 day ago — Find an answer to your question What least number must be subtracted from 5650 to get a perfect square? Also find the square root of this ...
Step-by-step explanation:
Help! x+15 is 1/2 of x+21. What is x+15?
Answer:
x=6
Step-by-step explanation:
Simplifying
x + 15 = 21
Reorder the terms:
15 + x = 21
Solving
15 + x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + x = 21 + -15
Combine like terms: 15 + -15 = 0
0 + x = 21 + -15
x = 21 + -15
Combine like terms: 21 + -15 = 6
x = 6
Simplifying
x = 6
HOPE THIS HELPS :)
graph g(x)=− 51 (x+5) ^2 − 2
Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
Marlena was asked to find an expression that is not equivalent to 212 Which of the following is not equivalent to the given
expression?
Answer:
(2⁶)(2⁶)
Step-by-step explanation:
Hope it help
brainliest please
Five bikers join a race. In how many possible ways can they be arranged as
first, second and third placers?
1. How many positions to be filled?
Answer:
60 different possibilities
Step-by-step explanation:
Number of bikers = 5
Positions = first, second and third
First positions = all 5 riders can take the first spot = 5 possibilities
Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4
Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3
Number of possible arrangements :
5 * 4 * 3 = 60 different possibilities
A bakery is offering a promotion where a customer can buy a dozen cookies for $10.00. Normally, the cookies cost $1.15 each. By how much is the cost of the cookies discounted? Round to the nearest whole percent, if necessary.
Answer:
28%
Step-by-step explanation:
The result is about 27.5362% so if we round it it will be 28%
Answer: 28%
Step-by-step explanation:
1.15x12=13.8
13.8-10.00=3.8
3.8/13.8=0.27536231884
To convert to percent 0.27536231884 * 100= 27.536231884 rounded 28
Coach Jill brought 28 L 28 L28, start text, space, L, end text of sports drink to the soccer game. She divided the sports drink equally between 7 77 coolers.
Complete question :
Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports drink equally between 7 coolers.
How many milliliters of sports drink did Coach Jill put in each cooler?
Answer:
4000 milliliters
Step-by-step explanation:
Total Litres of drink purchased = 28 L
Number of coolers in which drink was divided equally = 7
Hence, number of litres per cooler ;
Total litres of drink / number of coolers
28 L / 7
= 4 L. Per cooler
Recall:
1000 milliliters = 1 L
Hence, 4 L = (4 * 1000) = 4000 milliliters
2. If the tangent to the circle + + y2 = 25 was drawn at the point (-3,4) then its slope would be
(1)
4
( (3) -
Answer:
Step-by-step explanation:
3/4
Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is 13.Find the numbers
Answer:
the greatest number and the smallest number be 3 and 7 respectively
Step-by-step explanation:
Let us assume the greater number x and the smaller number be y
Now according to the question, following equation should be made
1 ÷2 (x - y) = 2
x - y = 4 ..................... (i)
And,
x + 2y = 13 ................(ii)
Now solve both the equations
-3y = -9
y = 3
Now x is
x - y = 4
x - 3 = 4
x = 7
Hence, the greatest number and the smallest number be 3 and 7 respectively
ACELLUS HELP ASAP
Find the value of x.
11
12
12
x = [?]
Enter
I have a discussion due I need at least a few sentences explaining "What would you do first: distribute a coefficient over every term in parentheses or combine like terms in parentheses? Why?"
Answer:
The first thing you ever do when simplifying an expression is distributing the coefficient. For example the expression 3(5x+6+4x) The first thing we would do is distribute the 3 into each value in the parantheses. It would make sense to add the 4x and 5x, but that goes out of order. This is just the rules when it comes to follwing distributive property in it's simplest form.
plz help for points 7th grade math
Answer:
1. 5/6
2. 8 outta 10
3. 60%
4. 0.37
5. 20%
Step-by-step explanation:
hope this helps!
Answer:
1. 20%
2. 0.37
3. 60%
4. 8 out of 10
5. [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Percentages are just dividing by 100 because all percentages must equal up to 100 such, as 50% and 50% (50+50=100) or 60% and 40% (60+40=100)
So divide the percentage ( basically just the number not, the %) by 100. 20(%)÷ 100 = 0.2 (take out the % when you do it). 60 ÷ 100 = 0.6
8 out of 10 is 8 ÷ 10 (0.8) if. it was 10 out of 8. it would look like [tex]\frac{10}{8}[/tex] which you can divide and get 1.2 because the line above the 8 means divide.
and [tex]\frac{5}{6}[/tex] is what i just explained above ↑ divide 5 and 6, which is .83 (it is .8333333333 to infinity and beyond, but I just said 3 because dont have that line)
now that you have everything in decimals. Sort them!
0.2 (20%)
0.6(60%)
0.37
0.8 (8 out of 10)
5/6 (0.83)
(↑ not the right answer the one in the answer box is.)
there is 300 fruit in a basket 50 of them are bananas what percentage is not bananas
Answer:
83.33%
Step-by-step explanation:
300 - 50 = 250
250/300 = .8333 or 83.33%
Answer:
83.33%Step-by-step explanation:300 - 50 = 250250/300 = .8333 or 83.33%Step-by-step explanation:
La suma de tres ángulos iguales es igual a 254° 25´ 54” ¿Cuánto mide cada uno de ellos?
La suma de dos ángulos es igual a 76° 35´. Si uno de ellos mide 27° 43´36”. ¿Cuánto mide el otro?
Porfa y gracias
Answer:
ugxitskydkydmyydktdlydoyzlyzittxltzljxkg
Aaron's town voted on a new speed limit. Out of 60 votes, 39 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Answer:
65%
Step-by-step explanation:
39 divided by 60 = 0.65 = 65%
helppppppppppppppppppppp
Answer:
y =-0.5x-3
Step-by-step explanation:
hope that helps please mark as brainliest if correct
thank you
Answer:
first option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-3}{6-0}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex] = - 0.5
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 0.5x + 3 ← equation of line
CAN SOMEONE PLEASE PLEASE PLEASE HELP ME WITH THIS, IT'S URGENT!!!
Answer:39
Step-by-step explanation:
Yrust me bro
Math help please asap
Answer:
a.) 0.51
b.) 1445
Step-by-step explanation:
a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.
b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.
This should equal 1.7 x 8.5 x 10^2 or 1445.
Suppose that y varies directly with x and y=20 , when x =8
a : write a direct variation equation that relates x and y ??
b : find y when x =3 ??
Answer:
y = 7.5
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 8
20 = 8k ( divide both sides by 8 )
2.5 = k
(a)
y = 2.5x ← equation of variation
(b)
When x = 3 , then
y = 2.5 × 3 = 7.5
Mr. Amari opens a savings account with an initial deposit of $600 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Amari will have in his account at the end of 5 years?
Answer:
over the five years Mr. Amari will have gained 30$
Step-by-step explanation:
Please help me out!!! I am stuck!!! Brainiest will be marked!!!