Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
The option B is correct option according to the passage which tells us that the In the United States, many individual states have also adopted legislation to eliminate, or at least reduce, phosphorous content in laundry detergents.
According to the statement
we have to find that the out of given options which is correct for replace the words in the passage.
So, For this purpose, we know that the
In the passage ,
Choices A, C, and D are incorrect because they do not mention legislation or policies that were adopted as a result of Schindler and Brunskill’s research on the effects of phosphates in laundry detergents.
And
Choice B is the best answer because it deals with a “policy outcome” related to the research. The adoption of legislation to reduce or eliminate phosphates in detergents is a policy outcome (a change in official policy concerning detergents) that was clearly informed by Schindler and Brunskill’s research.
So, The option B is correct option according to the passage which tells us that the In the United States, many individual states have also adopted legislation to eliminate, or at least reduce, phosphorous content in laundry detergents.
Learn more about passage here
brainly.com/question/25605883
#SPJ4
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer:
Maximum revenue = 1000 thousands of dollars.
Explanation:
We have the revenue equation
, where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.
At maximum revenue the derivative of equation is zero
So, ![r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200](https://tex.z-dn.net/?f=r%27%28x%29%3D0%5C%5C%20%5C%5C10%20-%200.025%2A2x%3D0%5C%5C%20%5C%5C%20x%3D10%2F0.05%5C%5C%20%5C%5C%20x%3D1000%2F5%3D200)
So maximum revenue is when 200 thousands of toys are produced.
Maximum revenue, ![r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000](https://tex.z-dn.net/?f=r%28200%29%3D10%2A200%20-%200.025%2A200%5E2%5C%5C%20%5C%5C%20r%28200%29%3D1000)
Maximum revenue = 1000 thousands of dollars.