Answer:
Don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Step-by-step explanation:
Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:
[tex]A = w\cdot l[/tex] (1)
[tex]p = 2\cdot (w+l)[/tex] (2)
Donde:
[tex]A[/tex] - Área, en metros cuadrados.
[tex]p[/tex] - Perímetro, en metros.
[tex]w[/tex] - Ancho, en metros.
[tex]l[/tex] - Longitud, en metros.
Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):
[tex]w = \frac{p}{2}-l[/tex]
Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:
[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]
[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)
A continuación, obtenemos la primera y segunda derivada de (3):
[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)
[tex]A'' = -2[/tex] (5)
Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:
[tex]\frac{p}{2}-2\cdot l = 0[/tex]
[tex]2\cdot l = \frac{p}{2}[/tex]
[tex]l = \frac{p}{4}[/tex]
Por (5), sabemos que ese valor crítico está asociado al área máxima.
Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:
[tex]l = 25\,m[/tex]
Ahora, tenemos el ancho de la figura por (2):
[tex]w = \frac{p}{2}-l[/tex]
[tex]w = 25\,m[/tex]
En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Find the equation of the line. Use exact numbers y=, x,+5
I can't see pictures, so I'll do my best.
y= always stays the same.
To find the slope, or x, you have to start at the y-intercept, and find the number of units up, then right.
For example, y=4/3+6
4/3 is the slope because it goes up 4 units and right 3 units from the y-intercept.
6 is the y-intercept, which is the y-coordinate. It can also be graphed as (0,6).
---
hope it helps
Which quadratic function in vertex form can be represented by the graph that has a vertex 3.-7) and posses
through the point (1.-10)
A-y=3/4(x+3)^2+7
B-y=-3/4(x+3)^2-7
C-y=3/4(x-3)^2+7
D-y=-3/4(x-3)^2-7
Answer:D
Step-by-step explanation:
Right answer gets brainlist
3 positive 1 positive
Step-by-step explanation:
D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1
if the height of water in the tank is 10cm what is the volume of the water
Answer:
4500cm^3
Step-by-step explanation:
We use the normal formula for volume V= L•W•H just changing the H value from 20 to 10 because the water isn't at the full hight
10•30•15=4500
hope this helps <3
We need help ASAP whatever you can do is fine please and thanks!!
Answer:
Angle 1: 130
Angle 3: 130
Angle 5: 50
Angle 6: 130
Step-by-step explanation:
If angle 2 is 50, that means 4,5, and 7 are 50 as well
Also, if we know angle 2 is 50, we know 1,3,8, and 6 are 130 since a line is always 180 (so subtract 50)
Let me know if you need more help!!
Whoever gets the question right I will mark as brainliest
Calculate volume of the prism
20 × 12 × 15
= 3600 in³
divide volume of prism with volume of container
3600 ÷ 400
= 9
9 times
Lana has completed 65% of her math homework. Which fraction is equivalent to 65%?
A. 13/20
B. 65/1
C. 7/20
D. 13/2,000
Answer:
A) [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
[tex]\frac{13}{20} = 065 = 65%[/tex]%
[tex]\frac{65}{1} = 65 = 100%[/tex]%
[tex]\frac{7}{20} = 035 = 35[/tex]%
[tex]\frac{13}{2,000} = 0.0065 = 0.0065[/tex]%
Help. Me.
Will give brainliest.
60 POINTS
Answer:
Step-by-step explanation:
it would be -2 ;)
What is the answer??
Answer:
the answer would be the second one
Step-by-step explanation:
a congruency symbol consists of a = and a ~
2.) Five minus four times a variable equals negative seven
Answer:
[tex]5 - 4x = - 7[/tex]
Step-by-step explanation:
Let the missing variable be x then yiu will get the answer above
Answer:
3
Step-by-step explanation:
5 - 4x = -7
add 4x to each side of the equation:
5 = 4x - 7
add 7 to each side:
12 = 4x
divide both sides by 4:
x = 3
proof:
5 = 4(3) - 7
5 = 12 - 7
5 = 5
A super is having a sale on tomatoes, 4 tomatoes for $.98. How much would it cost to buy 10 tomatoes
Answer:
Step-by-step explanation:
We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)
Total amount = P (1 + i)t Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20070
Step-by-step explanation:
Given data
Time= 5 years
Principal= $15,000
Rate= 6%
Total amount= P (1 + i)^t
substitute
Total amount= 15000(1 + 0.06)^5
Total amount= 15000 (1.06)^5
Total amount= 15000*1.338
Total amount= $20070
Hence the total amount will be $20070
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
Select all items equivalent to the square root of 24
Answer:
B and C are the correct options
The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.
What is the area of the square?Every one of the sides of a square is consistent. Let 'x' be the side length of the square. Then the region of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = x² square units
The expression is given below.
⇒ √24
If the area of the square is 24 square units. Then the side length is given as,
x · x = Area
x · x = 24
x² = 24
x = √24
The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.
More about the area of the square link is given below.
https://brainly.com/question/1658516
#SPJ2
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
Learn more about time taken, click;
https://brainly.com/question/16963199
#SPJ2
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answer:
Sorry I don't know this language
What is the measure of angle RTV?
Answer:
25 degrees
Step-by-step explanation:
70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.
Find the missing side. Round to the nearest tenth.
Answer:
[tex] \tan \frac{opposite}{adjacent} [/tex]
21.4
Step-by-step explanation:
tan47° = x/20
1.072=x/20
20×1.072= x/20×20
x =20 ×1.072
x= 21.447
x=21.4
use the area of the rectangle to find the area of the triangle 2 ft 9 ft
Answer:
[tex]\Huge\boxed{B}[/tex]
Step-by-step explanation:
Hello There!
The area of a rectangle is equal to length times width
2*9=18 so the area of the rectangle is 18 square feet
If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle
18/2=9 so the area of the triangle is 9 square feet
What percent of 71 is 27
HELP ASAP DUE IN 10 MINS WILL GIVE BRAINLIEST PIC IN QUESTION
In the figure shown, l1 || l2. Which angle is congruent to ∠7? Select all that apply.
Answer:
Since congruent means that they have the same diameter , i'd say that the answer is 1
Step-by-step explanation:
2.
Find the slope of the line that passes through the pair of points.
(–5.5, 6.1), (–2.5, 3.1)
A. [tex]\frac{3}{8}[/tex]
B. –1
C. 1
D. [tex]-\frac{3}{8}[/tex]
Answer:
B. -1
Step-by-step explanation:
-1
According to the slope formula:
Slope = (y2 - y1)/(x2 - x1)
y2 = 6.1
y1 = 3.1
x2 = -5.5
x1 = -2.5
Therefore:
6.1-3.1/-5.5--2.5
Since negative negative is positive you are left with:
3/-3
Therefore the answer is -1.
Which situation can be modeled by the inequality 10+8h≥50?
A). You start with 10 songs and purchase albums of 8 songs each until you have a total of 50 songs.
B). You spend $10 plus $8 per week until you have less than $50
C). You start with $10 and spend $8 every week until you have spent at most $50.
D). You start with 10 erasers and get 8 more each week until you have at least 50 erasers.
Keegan deposited $550 in savings account that pays 6.5% annual interest compounded quarterly write the compound interest formula to represent keegan's investment after 5 years how much money would Keegan have in the account after 5 years
Answer:
A = $759.23 after 5 years
Step-by-step explanation:
The compound interest formula applicable here is
A = P(1 + r/n)^(nt), where n is the number of compounding periods per year.
Here P = $550, r = 0.065, n = 4 and t = 5.
We get A = $550(1 + 0.065/4)^(4*5), or
A = $550(1 + 0.01625)^20, or:
A = $759.23
The speed, v, of a wave is inversely proportional to the square root of the
depth, d, of the water. When v= 30 then d = 400.
Find y when d=25.
Answer:
v = 120
Step-by-step explanation:
If v is inversely proportional to square root of d, then we can write
[tex]v \sqrt{d}[/tex] = k
If v = 30 and d = 400, then
30([tex]\sqrt{400}[/tex]) = k
k = 30(20) = 600
Now [tex]v \sqrt{d}[/tex] = 600
If d = 25, then v[tex]\sqrt{25}[/tex] = 600
5v = 600
v = 120
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answer:
red candies
Step-by-step explanation:
Statistically:
• 2/3 (20/30) times the candy will be pink
• 4/15 (8/30) times the candy will be red
• 2/5 (12/30) times the candy will be green
[tex] \frac{20}{30} > \frac{12}{30} > \frac{8}{30} [/tex]
Red candies will be least likely to be pulled.
Choose all of the conversions that are true for the capacity of the pitcher of orange juice.
Pitcher filled with 3.5 litres of orange juice.
A. 0.35 kL
B. 0.035 kL
C. 0.0035 kL
D. 3,500 mL
E. 350 mL
Answer:
C and D
Step-by-step explanation:
Kil represents one thousand, and milli represents one thousandth.
PLEASE HELP DUE AT MIDNIGHT!!!!
#3
Answer:
2787.6 (rounded to nearest tenth)
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] × r³ where r is the radius of the hemisphere. You can apply the formula to answer the question.
Volume = [tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] × 11³
= 887[tex]\frac{1}{3}[/tex][tex]\pi[/tex]
= 2787.6 (rounded to nearest tenth)
Answer:
2878.6!!!!!
Step-by-step explanation:
the volume with the radius of 11 inches so it would be 2878.6n
Write an equation for the following scenario.
A colony of 36,000 bacteria grows continuously at a rate of 12%.
9514 1404 393
Answer:
b(t) = 36000·e^(0.12t)
Step-by-step explanation:
Continuous growth at a rate of r per time period is modeled by the exponential multiplier e^(rt), where t is the number of time periods. This value multiplies the initial amount (at t=0). In this case, the model would be ...
b(t) = 36000·e^(0.12t)
where b(t) is the number of bacteria in the colony after t time periods.