This coordinate plane shows the shape of a hang glider. The perimeter of the glider is to be trimmed with a special material. What is the minimum length of material needed?
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now there are lines that are not paralel to x and y so it is not that simple (but not hard either) to calculate lenghts. we can use formula for distance between 2 dots.
we will use dots: (12,7) and (0,2)
from that using pythagoras theorem we can see that distance is:
d = √12^2 + 5^2 = 13
Total lenght is:
2*13 + 24 + 4 = 26 + 28 = 54
X = 24 ft Of Materials
Y = 2 ft Of Distance
X = (12,7)
Y = (0,2)
Using The Pythagoras Theorem
[tex]D=\sqrt{12^{2}+5^{2}}=13[/tex]
Total lenght is:
[tex]\left[\begin{array}{ccc}3*13+24+4=26\\26+28=54\end{array}\right][/tex]
Related Questions
Trylon Eager took out an $85,000, 20-year term policy at age 40. The premium per $1,000 was $5.00. He will be 60 years old this year. The premium per $1,000 will be $5.90. The percent increase to the nearest whole number is ____%. (Enter only the number.)
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Find the zeros of g(x)=x2+5x−24g
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x^2+5x-24 = 0
(x+8)(x-3) = 0
x+8 = 0 or x-3 = 0
x = -8 or x = 3
The zeros or roots are x = -8 or x = 3
gx+24g=x^2−24g+5x+24g
gx+24g=x^2+5x
❀Now you are going to factor out variable g:
g(x+24)=x^2+5x
❀Finally divide both sides by x+24:
[tex] \frac{g(x+24)}{x+24 } = \frac{x^2+5x }{x+24 } [/tex]
❀Your answer is:
[tex]g= \frac{x^2+5x }{x+24 } [/tex]
❀Good Luck❀
What is the correct radical form of this expression? (32a^10b^5/2)^2/5
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The 2/5 outer most exponent means that we can break it down into 2*(1/5). The 2 is going to apply as an exponent for the whole parenthesis group. The 1/5 indicates we have a 5th root (similar to a square root or cube root,but instead of 2 or 3, it's 5)
In essence, I'm saying that [tex]\LARGE x^{m/n} = \sqrt[n]{x^m}[/tex]
Which of these transformations are isometries? The diagrams are not drawn to scale.
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First and second we flipped horizontaly while last one we flipped both verticaly and horizontaly but sides and angles remained the same.
Answer:
the answer is D. I, II, and III
Step-by-step explanation:
if x=y and y=2 then 3x=
Answers
try urself and tell me the result
What is the day 1,000,000 days from now?
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One million days from now would be roughly the year 3759 AD. The exact day and month would fall sometime in March or April due to the complexities of our modern calendar system.
Explanation:To answer your question of what is the day 1,000,000 days from now, we'll need to do some calculations. There are approximately 365.25 days in a year (this includes the extra day every four years for leap years).
1,000,000 divided by 365.25 equals approximately 2737.85 years. This means that 1,000,000 days from now it would be the year 3759 AD (assuming the current year is 2022).
As for the exact day, we'll consider that a year is made up of 365 days, and the .25 accounts for leap years. However, the calculation of the exact date and month is quite complex due to the irregularities in our Gregorian calendar. It would fall sometime in March or April of 3759 AD.
Note that this calculation does not consider minute changes in Earth's rotation over time or potential changes in our calendar system.
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14/5 the fraction as a percentage
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Answer:
The fraction 14/5 can be expressed as 280 percent.
minimize Q=x^2+2y^2, where x+y=3
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To minimize the function Q=x^2+2y^2, substitute x=3-y and expand the expression. Use the vertex formula to find the minimum value of Q. The minimum value is 13.5 when x=1.5 and y=1.5.
Explanation:To minimize the function Q=x^2+2y^2, where x+y=3, we can substitute x=3-y into the function to get Q=(3-y)^2+2y^2. Expanding this expression gives Q=9-6y+y^2+2y^2. Combining like terms, we have Q=3y^2-6y+9.
To find the minimum value of Q, we can use the vertex formula. The x-coordinate of the vertex of the parabola represented by Q=a(x-h)^2+k is x=-h. In our case, h=-(-3)/2=1.5. Substituting this value of x into the equation Q=3y^2-6y+9 gives Q=3(1.5)^2-6(1.5)+9=13.5-9+9=13.5.
Therefore, the minimum value of Q is 13.5 when x=1.5 and y=1.5.
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Given 9801 = 3x3x3x3x11x11 , find √9801 (square root i think) ...?
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Is the root of 9801
How do you simplify cscx*secx-tanx?
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= 1 / sin x · 1 / cos x - sin x / cos x =
= 1 / sinx cos x - sin² x / sin x cos x =
= ( 1 - sin² x ) / (sin x cos x) =
= cos² x / ( sin x cos x ) =
= cos x / sin x = cot x
What's the answer I don't know it
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A high school chorus has $1000 in its school account at the beginning of the year. They are putting on a fall concert to raise money for a trip later in the year. At the concert last year they sold tickets for $10 each. If they sell tickets at the same price the total amount in the chorus account can be represented by the linear function T = 10x + 1000. If they increase the ticket price to $15, how many tickets will they have to sell to have a total of $4000 in the account?
A) 100 tickets
B) 150 tickets
C) 200 tickets
D) 250 tickets
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How many times does the graph of the function below intersect or touch the x-axis? y=-3x^2+x+4 ...?
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So, putting y =0
0 = -3x^2 + x +4
so, if you factoriazte it
−3x^2++4x−3x+4=0
−3x(x+1)+4(x+1)=0
(x+1)+(−3x+4)=0
x=−1,4/3
So, two time at -1 and 4/3 it touches the x-axid
Answer:
The answer is 2 times.
A triangle has three sides and a pentagon has five sides. true false
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A salad bar offers 8 choices of toppings for lettuce. In how many ways can you choose 4 or 5 toppings? ...?
Answers
combinations 8C4 + 8C5
= 8*7*6*5 8*7*6
4*3*2*1 3*2*1 =
70 + 56
= 126
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A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)? A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)?
Answers
Plugging the numbers into the equation we get 4x4x3.14 which is 50.24
I hope you could use my method for solving the A(4) in solving the A(3)
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What is the period of y = 5 cos x?
What is the period of y= cos 5x
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first case, B = 1
Second case, B = 2
so period of 5*cos x is 2pi/1 = 2pi
period of cos 5x is 2pi/5
hope this help
plz help asap!!!! the perimeter of a rectangle is 200 cm. what is the length of the rectangle if the width is y cm?
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the length is 80
For every problem-solving activity it's crucial that no less than five alternatives be considered.
True
False
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Problem-solving activity includes
1.Understanding the problem,that is nature of the problem, then Completely define in your own way.
2. Determining why this problem has accrued,
3. Identifying the ways to solve the problem,
4. Prioritizing the given alternatives that is ways and then arranging the alternatives for a solution,
5. Then applying the best solution or arrangement for the given problem.
There are two ways considered for problem-solving activity
(1). Trial and Error (2) Reduction in steps
It totally depends on the kind of problem , which you are solving. There may be Less than five alternatives ,equal to five alternatives or more than five alternatives to solve the problem.
Option B: False
The product of some negative number and 4 less than twice that number = 336. find the number
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Hey guys I have 2 short Q! Ill mark as brainliest whoevr helps me ^~^ ThankU x3 (IMAGE is Below for both Qs!)
What is the length of leg y of the right triangle?
A right triangle with hypotenuse 37 and legs 35 and y
A) 2
B) 8
C) 12
D) 35
#2: Which of the following shows the length of the third side, in inches, of the triangle below?
A right triangle is shown. One side of the triangle is labeled as 25 inches. The height of the triangle is labeled as 15 inches.
A) 20 inches
B) Square root of 850 inches
C) Square root of 10 inches
D) 40 inches
Answers
35^2 + y^2 = 37^2
y^2 = 37^2 - 35^2
y^2 = 1369 - 1225
y^2 = 144...take sqrt of both sides, eliminating the ^2
y = sqrt 144
y = 12 <===
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
b^2 = 25^2 - 15^2
b^2 = 625 - 225
b^2 = 400
b = sqrt 400
b = 20 <===
Does 1/3 divided by 4 equal 1/12
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find the HCF of 140,210,315
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The answer is 35, let me know if you can't read anything or have any questions. Hope this helped :)
hope this helps you
Lynn and dawn tossed a coin 60 times and got heads 33 times what is the experimental probability of tossing heads using Lynn and dawns results
Answers
Answer: Experimental probability of tossing head is [tex]\frac{11}{20}[/tex]
Step-by-step explanation:
Since we have given that
Number of times Lynn tossed a coin = 60 times
Number of times head comes = 33
Experimental probability of tossing heads using Lynn and drawn results is given by
[tex]\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{33}{60}\\\\=\frac{11}{20}[/tex]
Hence, Experimental probability of tossing head is [tex]\frac{11}{20}[/tex].
Answer:
experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].
Step-by-step explanation:
Given :Lynn and dawn tossed a coin 60 times and got heads 33 times
To find : what is the experimental probability of tossing heads using Lynn and dawns results.
Solution : We have given that
Number of times Lynn tossed a coin = 60 times.
Number of times head comes = 33.
Probability of tossing heads using Lynn and drawn results is given by:
= N[tex]\frac{number of favouable outcome }{total possible outcome}[/tex]
= [tex]\frac{33}{60}[/tex].
On simplification
=[tex]\frac{11}{20}[/tex].
Therefore, experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].
Which equation shows y=−1/2x+4 in standard form?
A. 2x+y=8
B. x+2y=8
C. x+2y=-8
D. 2x-y=8
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Answer: B. x+2y=8
Explanation:
The original equation is:
[tex]y=-\frac{1}{2}x+4[/tex]
The problem asks us to convert the equation in the standard form, so in the form
[tex]ax+by=c[/tex]
with a,b and c being integers.
In order to do that, first of all let's bring on the same side both x and y:
[tex]y+\frac{1}{2}x=4[/tex]
Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get
[tex]2y+x=8[/tex]
and this corresponds to option B.
The equation that represents y = -1/2x + 4 in standard form is 2x + y = 8.
The equation that shows y = -1/2x + 4 in standard form is 2x + y = 8.
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The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width?
If w=the width of the rectangle, which of the following expressions represents the length of the rectangle?
1. 2w+3
2. 2(w+3)
3. 3(2w)
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That makes no sense, what DO you get?
The correct answer is, A, or question 1, or 2w + 3.
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ALGEBRA 1 help please!! Urgent
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9/10x + y = 5/3...multiply entire equation by common denominator 30
27x + 30y = 50 <==
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?
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An expression when written in either radical form or rational exponent form be rewritten to fit the other form as well.
When we write in different forms the Denominator defines as the Index and the Numerator defines as Power on the variable.
For Example:-We can write [tex]4^{\frac{2}{3}[/tex] as [tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]
Again, vice versa,
For example:-We can write [tex]\sqrt[5]{x^4}[/tex] as [tex]x^{\frac{4}{5}[/tex]
Therefore , we can written in other forms as well to fit .
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To convert from radical form to rational exponent form, use [tex]\( \sqrt[n]{a} = a^{1/n} \),[/tex] and vice versa for conversion.
An expression written in radical form can be rewritten in rational exponent form and vice versa using the following conversions:
1. From Radical Form to Rational Exponent Form:
- For a radical expression [tex]\( \sqrt[n]{a} \), where \( n \)[/tex] is the index and [tex]\( a \)[/tex] is the radicand:
- The equivalent expression in rational exponent form is [tex]\( a^{1/n} \)[/tex].
2. From Rational Exponent Form to Radical Form:
- For an expression [tex]\( a^{m/n} \)[/tex], where [tex]\( a \)[/tex] is the base, [tex]\( m \)[/tex] is the numerator, and [tex]\( n \)[/tex] is the denominator:
- The equivalent expression in radical form is [tex]\( \sqrt[n]{a^m} \).[/tex]
These conversions allow us to switch between radical form and rational exponent form easily. It's important to remember that the index of the radical corresponds to the denominator of the rational exponent, and the exponent of the base corresponds to the numerator of the rational exponent.
whats the inverse function of f(x)=3x-1
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30/20=w/14 solve for w
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30 x 14 = 20 x w
so
w = 420/20
w = 21