By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2
How to find the area of the farm?For a rectangle of length L and width W, the perimeter is:
P = 2*L + 2*W
In this case, we know that the perimeter is equal to 38m, then:
38m = 2*L + 2*W
We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.
This is written as:
(L - 3m) = 2*(W - 2m)
Then we have a system of equations:
38m = 2*L + 2*W
(L - 3m) = 2*(W - 2m)
To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:
L = 2*(W - 2m) + 3m
Replacing that on the other equation we get:
38m = 2*(2*(W - 2m) + 3m) + 2*W
Now we can solve this for W.
38m = 4*(W - 2m) + 6m + 2*W
38m = 4*W - 2m + 2*W
38m + 2m = 6*W
40m = 6*W
40m/6 = W = 6.67m
Then the length is:
L = 2*( 6.67m - 2m) + 3m = 12.34 m
So the area of the rectangle is:
A = L*W = 12.34m*6.67m = 82.31 m^2
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Which graph matches the equation y+6= 3(x + 4)?
Here's the graph using geogebra.org/graphing
Let me know if you need an explanation of how to solve this equation
20 Points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
63–√ cm
6 cm
12 cm
62–√ cm
Answer:
The answer is 12 cm.
Step-by-step explanation:
Verified by correct test results.
The length of the hypotenuse of the given right triangle would be 12cm.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.
The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -
cos(60) = b/h
h ={b/cos(60)}
h = 6/(1/2)
h = 6 x 2
h = 12 cm
Therefore, the length of the hypotenuse of the given right triangle would be 12cm.
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The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.
The Atlantic Ocean is about how many times as large as the Arctic Ocean?
Answer:
1.65x
Step-by-step explanation:
multiply 3x107 to get 321.
multiply 5x106 to get 530.
divide 530 by 321 to get 1.65x
Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)
Answer:
See below ~
Step-by-step explanation:
Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²Finding the side lengths
AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73Perimeter
AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days? the answer is 6,271!!!
The number of people that had viewed the video that Marta’s mother shared online was 6271
How to solve an exponential function?Let f(x) represent the number of views after x days.
Given the function:
f(x) = 33(1.3)ˣ
Hence:
After 20 days, the number of views is:
f(x) = 33(1.3)²⁰ = 6271
The number of people that had viewed the video once it had been online for 20 days was 6271
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Answer:
6,271 people saw the video
Step-by-step explanation:
hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?
What is the correct way to read 0.2305
zero point two three zero five
hope it helps...!!!
Answer:
TWO THOUSAND THREE HUNDRED FIVE TEN-THOUSANDTHS
Step-by-step explanation:
20 points
Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder
f(x) = 2x³+3x²-4x-5
let x + 2 = 0
x = 2
f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5
= 2 × 8 + 3 × 4 - 4 × 2 - 5
= 16 + 12 - 8 - 5
= 15
↪Then the reminder is 15
☆...hope this helps...☆
_♡_Mashi_♡_
Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel
Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?
Answer:
15
Step-by-step explanation:
Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),
Based on the question, he picked an orange first and the probability of picking that is
P(O) = 12/50
Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.
The probability of picking orange then strawberry with replacement is
P(O) × P(S) = 9/125
Substitute the P(O)=12/50,
12/50 × P(S) = 9/125
P(S) = 3/10
Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.
Number of strawberry candy
= 3/10 × 50
= 15
Round your answer to the nearest hundredth.
Answer:
33.69°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
33.69°
Step-by-step explanation:
Let's take ∡CBA as y
Tan y = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{6}{9}[/tex]
= 0.6666
y = 33.69°
Which law requires credit card companies to be honest about fees and
interest charges?
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12 feet
Step-by-step explanation:
3 times 4 is 12
you would multiply by 4 because of the 4 sides of the window
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
In a right triangle, A = 90 degrees, with side AC = 17 and angle B = 38
degrees, find BC. Round your answer to 1 decimal. Show the labeled figure and all your
work.
Answer:
The answer is 27.6
Step-by-step explanation:
I've attached a picture with the labelled figured and working steps. Hope it'll help =)
Review the table on page 3 comparing in-network and out-of-network costs under the Standard Plan. Which statement is TRUE? Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. The costs for in-network and out-of-network doctors are the same for ALL services they offer. The costs for in-network and out-of-network doctors are the same for ALL services they offer. Office visits, immunizations and annual physicals have the same costs for both in-network and out-of-network doctors.
The true statement is that most insurance plans encourage the use of In-Network doctors by offering lower costs on most services they perform.
What is the meaning of Health Maintenance Organization?An HMO is regarded as an acronym that is used for “Health Maintenance Organization”. It is know to be companies that has been given the power to solely to manage the provision of health care services to the people.
The use of the in-network option is one that tends to save money. The Providers in your network are known to have a form of agreements with your insurance company that tends to make one to save money.
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Answer: B-Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform.
Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
A. 31%
B. 57%
O C. 69%
D. 42%
Answer:
C 69
Step-by-step explanation:
The correct option for Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is C. 69%
What is the population in simple words?
A population is the number of living people that live together in the same place. A city's population is the number of people living in that city. These people are called inhabitants or residents. The population includes all individuals that live in that certain area.
Conclusion: It can be a group of people, objects, events corporations, and so forth. you use populations to attract conclusions. determine 1: population. An example of a population would be the complete scholar body at a faculty. it'd consist of all of the college students who examine in that university at the time of statistics collection.
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answer quick i’ll give brainliest!! if you send links i’ll report u!
Answer:
[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]
Step by step explanation:
Given:
height of prism h = 18 cm
length of base of triangle b = 10cm
height of triangle h' = 2 cm
side A of triangle = 5 cm
side B of triangle = 7 cm
To find:
Surface area of prism = ?
Solution:
[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]
[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]
[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]
[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]
[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]
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Answer:
D. 416 cm²
Step-by-step explanation:
Let S be the surface area of the prism
B be the area of the base of the prism
A be the lateral area of the prism
_______
formula :
S = 2B + A
__________
The base is a triangle ,then B the area of the base :
[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]
_______
formula :
A = (Perimeter of the base) × (the height of the prism)
__________
then ,
[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]
Conclusion:
[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]
What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.
Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.
The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics
Answer:
the answer is D
Step-by-step explanation:
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years
The total amount which Todd will have after 4 years is $1,178
The total amount which Alexis will have after 4 years is $1,184
1050 + 32(4)=
1050 + 128
= $1,178.
For Alexis
(P x T x R)/100
(1050 x 4 x 3.2)/100
=13400/100
=$134 interest after 4 years.
Therefore, 1050 + 134
=$1,184.
Which expression is equivalent
Answer:
the answer is 1/27. C :))
could i have some quick help factoring trinomials?
Solution 1
6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)Solution 2
48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)Solution 3
-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)#1
6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)#2
48c²-160c+100Cancel by 4
12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)#3
-6x-51xy+27xy²3x(-2x-17y+9y²)which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y
Answer:
(a) 3/8x +3/8y
(d) 5/8x -5/8y -1/4x +y
(e) 5/8x - 1/4x + y - 5/8y
Step-by-step explanation:
An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.
__
(x -y)(5/8) -1/4x +y
= 5/8x -5/8y -1/4x +y . . . . . use distributive property
= 5/8x -1/4y +y -5/8y . . . . . . reorder terms
= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms
= 3/8x +3/8y
A video receives -16 points and 33 points in one day. How many members voted?
Answer: 49 members
Step-by-step explanation:
We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.
|33| = 33
|-16| = 16
33 + 16 = 49
49 members voted.
Answer:
Step-by-step explanation:
49
What is the median of the data set?
-10, -5, -1, 0, 0, 3, 6, 8
0
O 0.125
3
-1
Answer:
0
Step-by-step explanation:
The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.
There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total
Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of flow in cups per day. Round your answer to the nearest hundredth.
Find the area of the rhombus.
Step-by-step explanation:
as the graphic shows, we are dealing with a special rhombus : a square.
this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.
what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?
I assume the half-diameter.
what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).
every leg is 6 cm long (based on my assumption above).
because they are right-angled, the area of each of these little triangles is leg×leg/2
6×6/2 = 18 cm²
we have 4 triangles, so the total area is
4×18 = 72 cm²
if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.
then we would have
3×3/2 = 4.5 cm² for a single triangle
and
4×4.5 = 18 cm² for the whole area.
What is the equation of the line?
O y = 3x
O Y= 1/3x
O y=1/3x+2
O y = 3x+2
