Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen.
One side of the pen uses the barn wall, hence the remaining side is 64 m, hence:
x + 2y = 64
x = 64 - 2y (1)
The area of the wall is the product of the length and the width, hence:
Area (A) = length * width = xy = (64 - 2y)y = 64y - 2y²
A = 64y - 2y²
The maximum area of the dog house is gotten when the derivative of the area is equal to 0. Hence:
A' = 64 - 4y = 0
64 - 4y = 0
4y = 64
y = 16 m
Put y = 16, in equation 1 to find x:
x = 64 - 2(16) = 32 m
x = 32 m
Therefore the pen has a length of 32 m and width of 16 m.
Answer:
A(max) = 512 m²
Dimensions:
x = 32 m
y = 16 m
Step-by-step explanation:
Area of the rectangular pen:
A(p) = x*y x and y sides of the rectangle. A barn will be used in place of a fence; let´s say that only one x side will be fenced, then the perimeter of the rectangle is:
p = x + 2*y 64 = x * 2*y y = ( 64 - x ) / 2
A(p) = x*y
Area as a function of x
A(x) = x * ( 64 - x )/ 2
A(x) = ( 64*x - x² ) /2
Tacking derivatives on both sides of the equation
A´(x) = ( 64 -2*x )/2
A´(x) = 0 64 - 2*x = 0 2*x = 64 x = 32 m
y = ( 64 - x ) / 2 y = ( 64 - 32 )/2 y = 16 m
A(max) = 32 * 16 = 512 m²
To check if x = 32 will bring a maximum to function A(x)
We take the second derivative
A´´(x) = - x/4 A´´(x) < 0 then x = 32 is a local maximum
hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12
Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
How did find nth term of an arithmetic sequence ?
the sum of 25 and x is 48 find x. . Solve.
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
What value of x makes this proportion true?
3/x = 15/40
A. 5
B. 28
C. 8
D. 105
Answer:
here the value of X should be 8 to make this proportion true
3/8=15/40
by cross multiplying
15*8=40*3
120=120
therefore the option C is correct
Help me please, i need this answer I don't know what it is.
+
(10x+2)
→
(9X+18) find the value of x
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?
Answer:
yellow = 5 bags
red = 4 bags
Step-by-step explanation:
two equations can be derived from the question
x + y = 9 equation 1
6x + 7y = 59 equation 2
where x = number of red onion bags
y = number of yellow onion bags
Multiply equation 1 by 6
6x + 6y = 54 equation 3
subtract equation 3 from 2
y = 5
substitute for y in equation 1
x + 5 = 9
x = 9 - 5
x = 4
Can someone please help me!!!
Answer:
Option C
Step-by-step explanation:
same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel
Click on the number line below to show the approximate location of 19 on the number line.
Answer:
Between 4 and 5
Step-by-step explanation:
The closest square numbers are 16 and 25, so it’s in between 4 and 5
¿Cuántos quilómetros recorrerá una locomotora en 5 horas, si marcha a una velocidad de 82 kilómetros
por hora?
Step-by-step explanation:
Datos;
una locomotora
recorre 5 horas
a una velocidad de 82 km/h
Se asume que la locomotora lleva un movimiento rectilíneo uniforme.
Su recorrido esta descrito por la siguiente ecuación de posición;
x = x₀+ v · t
x-x₀ = d = v · t
siendo;
d = distancia recorrida
v = 82 km/h
t = 5 horas
Sustituir:
d = (82)(5)
d = 410 km
82km/h * 5h= 410km
La locomotora recorrerá 410km
Help me please i will give brainliest.
Answer:
1) 13 Students were surveyed
2) 3 students
3) 7 Students
4) 10 Books
Pls mark brainliest
Answer:
13 students were surveyed
3 students read 5 fiction books
7 students read more than 5 fiction books
The maximum number was 10
Step-by-step explanation:
Hope this helps
-Unbrand-
Sadly even though I answered first I didn't get any credit. Quite sickening.
What is the total are of the felt patch
A. 225 square cm
B. 405 square cm
C. 500 square cm
D.450 square cm
Answer:
B 405
(=20*9 + 25*9)
what are the blue-ish dots on your screen? :|
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?
(7, 3)
(0, 7)
(7, 0)
(3, 7)
Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
[tex]y-y_1=m(x-x_1)[/tex] ...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).
Answer:
C
Step-by-step explanation:
edge
Given angel theta with cos theta < 0 and sin theta > 0, indicate the quadrant that theta lies in
bearing in mind that cos(θ) < 0, is just another way to say that cos(θ) is negative, and sin(θ) > 0, is just another way to say that sin(θ) is positive.
Check the picture below.
what is the measure of x
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
8 less than the product of a number n and 1/7 is no more than 95 .
Answer:
95 ≤ 8 < 1/7n
Step-by-step explanation:
95 ≤ 8 < 1/7n
no more = less than or equal to
product of a number n and 1/7 = 1/7•n = 1/7n
Find x. Round your answer to the nearest tenth of a degree.
16
х
12
Answer:
1.3
Step-by-step explanation:
tan(x) =16/12
=4/3
=1.33
=1.3
x=tan-1(1.3)
=52.4
What is the quotient?
-4/5 divided by 2
Answer:
-0.4
fraction form: -4/10 or -2/5
3x-6y=24 y=Mx+b form
Help Me Please?????????????
Answer
Step-by-step explanation:
8^-5/8^-2
=8^5-(-2)
=8^5+2
=8^7
=2097152
Note in division if the base the base are same then u can subtract their exponent but in multiplication bases are same u should add their exponent.
i need help, an answer or how to- will be fine, thank you. (i’ll mark brainliest if i can)
by solving the first equation you'll get x= -24/13
if you solve the second option (B) then you'll the same result i.e x=-24/13
so option C is correct
Based on the information marked in the diagram triangle PQR and triangle STU must be congruent
Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?
Answer:
10.5 km
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1² + 4² =
1 + 16 = 17
√17 = 4.123km
4² + 5²
16 + 25 = 41
√41 = 6.40 KM
total distance = 6.4 + 4.12 = 10.52
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
Find or approximate the time when the object hits the ground. Explain your method.
The approximate time when the object hits the ground will be 10 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
h(t) = (49 + 4.9t)(10 - t)
The time when the object hits the ground is calculated as,
h(t) =
(49 + 4.9t)(10 - t) = 0
If (49 + 4.9t) = 0, then the value of 't' is given as,
49 + 4.9t = 0
t = - 10
The value of time is an absolute value. Thus, this can be neglected.
If (10 - t) = 0, then the value of 't' is given as,
10 - t = 0
t = 10 seconds
The approximate time when the object hits the ground will be 10 seconds.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ3
Square ABCD has an area of 1600. E is the midpoint of AC and F is the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
600 square units
O 109 square units
Could someone help me, please? I got 4, but I’m not sure.
Answer:
4
Step-by-step explanation:
Can someone help me please
Answer:
112
Step-by-step explanation:
Answer:
We have
Angle ORQ
we use the Thales theory
From the formulae
A²+B²=C²
consider
A=OR
B=RQ
C=OQ
so
48²+64²=C²
2304+4096=C²
6400=C²
(6400)¹/²=(C²)¹/²
80=C
But
C=OQ
《OQ=80
You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?
Dose anyone know the answer
The answer is the D ( the last one)
please tell me answers
Answer:
×=50,×+09+673-23
×=(33)+(2×)
