Answer:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
Step-by-step explanation:
For a rectangle with length x and width y, the perimeter of the triangle is:
P = 2*x + 2*y
The perimeter needs to be equal or smaller than the length of fencing that the farmer has, then:
2*x + 2*y ≤ 165 ft
We also know that:
(x strictly larger than 50ft)
x > 50ft
(y can be, at most, 20 ft)
0ft < y ≤ 20ft
(where we added the restriction that y needs to be larger than zero, because we can not have a width equal or smaller than zero)
Then the system of inequalities that represent this situation is:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
Does anyone know the answer to this help fast!
Find the missing length of the triangle
20 cm
12 cm
The shape on the left is a square with side length of 12 cm
This means the height of the triangle is 12cm.
Knowing the height and the hypotenuse using the Pythagorean you can solve for the base.
20^2 = 12^2 + x^2
400 = 144 + x^2
Subtract 144 from both sides:
256 = x^2
Take the square root of both sides
X = sqrt(256)
X = 16
X = 16
Which statement Is always true?
The sum of two Irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is rationall
Answer:
D) The product of two rational numbers is rational.
The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.
Answer:
1 / 12 ; $1
Step-by-step explanation:
Pan was 1/4 full and she buys 1/3 of the cornbread in the pan
The fraction of cornbread she buys is :
1/3 of 1/4
1/3 * 1/4 = 1/12
Hence, she bought 1/12 of cornbread
The amount she pays :
Cost of 1 pan = $12
Therefore, the cost of 1/12 of a pan will be :
1/12 * $12 = $1
Hence, she'll pay $1
What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)
Answer:
D
Step-by-step explanation:
The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
Given that, equation of the parabola,
[tex](x - 1)^2 = 12(y + 2)[/tex]A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.
Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2
And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)
Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
Solve for n. n =
Fast plz
Answer:
24
Step-by-step explanation:
360 degrees, so 2+6+5+2=15
360/15=24
n=24
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
6 oz
Step-by-step explanation:
https://brainly.in/question/28460456
Answer:
options on graph:
lceberg- 40%
romaine- 27%
spinash- 15%
arugula- 12%
carrots- 6%
answer is C. is 18oz.
Step-by-step explanation:
multiply 64 x .27%= 18oz
HELP HELP HELP HELP
Answer:
24
Step-by-step explanation:
help me just
plz
hmmm
or let me die
Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?
Given:
The initial value of the car = $75,700
Decreasing rate = 4.3%
To find:
The value of r in the exponential DECAY formula.
Solution:
The exponential decay formula is:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of decay on decimal and t is the time period.
The initial value of the car is $75,700 and its value decreases 4.3% annually. So,
[tex]a=75,700[/tex]
[tex]r=\dfrac{4.3}{100}[/tex]
[tex]r=0.043[/tex]
The required exponential decay formula is:
[tex]y=75,700(1-0.043)^t[/tex]
Therefore, the value of r in the exponential decay formula is 0.043.
URGENT!!!! A ship sails due east from point A for 30 miles. It then
adjusts its course 10° to the north and travels 20 miles to point
B. How far is point A from point B? Estimate the answer to the
nearest tenth. Don't forget the units.
Which expression(s) are equivalent to the given expression?
6x - 18y + 36
A 2(3.2 - 9y + 18)
B 3(2x - 6y +12)
c|4(2x - 14y + 32)
D 6(2-3y +36)
E9(6x - 2y + 4)
Answer:
B
Step-by-step explanation:
You just need to multiply the first number by every number in the parantesis Take care bby :)))
Answer:
B
Step-by-step explanation:
B: 3x2x= 6x
3x6y= 18y
3x12=36
If there's more I apologize but that is all that I could find.
Nine more than the product of a number and 3 is equal to 7.
Answer:
This phrase translates to the mathematical expression:
9 + (N x 3) = 7
If you want to solve for the missing number,
N x 3 = -2
N = -2/3
How would you show a rate of change of 3.5 meters per minute on a graph?
Answer:
i don't know
Step-by-step explanation:
20 mi
12 mi
b
What is the length of the missing leg?
Answer:
13
Step-by-step explanation:
thats my answer byusing calculato
☽. can someone help me <3?
Answer:
84.9
Step-by-step explanation:
Help me solve 2 and 4
Answer:
2. answer C
4. answer C
Step-by-step explanation:
hope this helped you :)
Answer: i know 4 but i coudint find 2 but 4 is (D)
turn 2 3/4 into an improper fraction
Answer:
11/4
Step-by-step explanation:
Multiply the denominator by the whole number and add it to the numerator and keep the denominator the same therefore it would be 11/4.
A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse
Answer:
C. Adjacent
Step-by-step explanation:
Ralph has a cylindrical container of parmesan cheese. The diameter of the base of the container is 2.75 inches, and the height is 6 inches. What is the area of a horizontal cross section of the cylinder to the nearest tenth of a square inch?
Answer:
The solution is given below:
Step-by-step explanation:
The computation of the area of the horizontal cross section of the cyclinder is given below:
In the case when it is a circle
The area of the circle is
= πr^2
= 3.14 × (2.75 ÷ 2)^2
= 11.873 inches^2
In the case when it is a rectangle
The area of the rectangle is
= 6 × 2.75
= 16.5 inches^2
Hence, the above show the calculations
The area of the horizontal cross section.
When circular is [tex]11.873 inches^2[/tex]
When it is rectangular [tex]16.5inches^2[/tex]
The computation of the area of the horizontal cross section of the cylinder
What is the formula of the area of the circle?The area of the circle is[tex]=\pi r^{2}[/tex]
use the given value in above formula we get,
[tex]= 3.14 \times (\frac{2.75}{2} )^2[/tex]
[tex]= 11.873 inches^2[/tex]
when it is a rectangle then the area of the rectangle is
[tex]= 6 \times 2.75[/tex]
[tex]= 16.5 inches^2[/tex]
Therefore,the area of the horizontal cross section.
when circular is [tex]11.873 inches^2[/tex]
When it is rectangular [tex]16.5inches^2[/tex]
To learn more about the area of the cross section visit:
https://brainly.com/question/24592106
A hospital near a ski resort records the types of injuries treated during ski season and other seasons
over a year. The results shown in the table will help determine the medical staff that is required at
different times of the year. According to the data in the table, what is the probability that a patient will
need to be treated for a broken bone during ski season?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the types of injuries and the frequency of each injury are not given.
A general way to solve a question like this, is as follows;
First: Calculate the total frequency.
Assume the given dataset is:
[tex]\begin{array}{cc}{Injury} & {Frequency} & {Dislocation} & {20} & {Strain} & {5} & {Broken\ Bone} & {10} & {Bruise} & {15} \ \end{array}[/tex]
The total frequency is:
[tex]Total =20 + 5 + 10 + 15[/tex]
[tex]Total =50[/tex]
Next, write out the frequency of broken bone injuries
[tex]Broken\ Bone = 10[/tex]
Calculate the probability by dividing the number of broken bone by the total frequency
[tex]Pr= \frac{10}{50}[/tex]
[tex]Pr = 0.20[/tex]
To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).
Answer:
it costs 7-8$ per hour
Step-by-step explanation:
the answer is estimated
hey brainless riddle me this
Translate the sentence into an equation.
The sum of 5 times a number and 9 is equal to 4.
9/2 as a fraction and what is 2/3 reciprocal
Answer:
9/2 = 4 1/2 , 2/3 = 3/2
Step-by-step explanation:
The reciprocal of a fraction is switching the numerator and the denominator.
2/3, switched is 3/2.
To find the mixed form of an improper fraction, you divide the numerator by the denominator.
Like this, 9/2 = 4.5
4 is the whole.
So, 4 would be the whole number.
Then there is 1 left over.
You keep the denominator.
So it would be 4 1/2.
ill give brainIiest to the right answer
Answer:
[tex]K=6[/tex]
Step-by-step explanation:
In f(x) graph the vertex is at x=4
In g(x) the vertex at x=-2
so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)
here the graph is 6 units left so.. K= 6
[tex]-----------[/tex]
hope it helps...
have a great day!!
A faraway planet is populated creatures called Jolos. All Jolos are either
green or purple and either one headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos; 125 purple, two-headed Jolos; and
270 one-headed Jolos.
Your answer is B. 205.
Because when you subtract 270 - 100 it equals 170 then you add 170 + 125 which equals 295 then you subtract 500 - 295 it equals 205 which is your answer!
Hope this helps!Answer:
b
Step-by-step explanation:
HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5
Answer:
the answer would be (4) or y=x+5
Step-by-step explanation:
-4+5 = 1 y=1 check
0+5=5 y=5 check
and so on.
1/3 divided by 4 what is the awnser for this equation
Answer:
1/12
Step-by-step explanation:
Hope this helps :)
how to do this question
9514 1404 393
Answer:
7 days
Step-by-step explanation:
(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.
n=2
1.8 = A₀·b²
n=3
2.4 = A₀·b³
Dividing the second equation by the first gives ...
2.4/1.8 = (A₀·b³)/(A₀·b²) = b
4/3 = b
__
(b) Substituting this into the first equation, we can find A₀.
1.8 = A₀·(4/3)²
1.8(9/16) = A₀ = 1.0125
A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.
__
(c) The area will be 7 cm when ...
1.0125·(4/3)^n = 7
(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀
n·log(4/3) = log(7/1.0125) . . . . . . take logarithms
n = log(7/1.0125)/log(4/3) ≈ 6.72092
It will take about 7 days for the area of the patch to exceed 7 cm.
Pls answer quick!
Choose the correct simplification of the expression (a^2/b^5)^3
A. a to the 6th power over b to the 15th power
B. a to the 5th power over b to the 8th power
C. a over b to the 15th power
D. a6b15
Thanks <3
Answer:
D.......................