Problem 1
a = length of side 1 b = length of side 2 c = length of side 3Let's say that c = 36.
Since she has 90 feet of rope total, that leaves 90-36 = 54 feet of rope for sides 'a' and b to divide up somehow. We can say a+b = 54
Now let's say we want 'a' to be as large as possible. To do this, we need to make b as small as possible. That occurs when b = 1. We can't have b = 0, or else a triangle won't form. So the next value up is b = 1.
If b = 1, then,
a+b = 54
a = 54-b
a = 54-1
a = 53
The longest side possible is 53 feet
Answer: 53 feet=====================================================
Problem 2
Recall that (5,12,13) is a pythagorean triple. This is because 5^2+12^2 = 13^2. Both sides lead to 169.
Since we have a pythagorean triple, this indicates a triangle with sides 5,12,13 is a right triangle.
If a triangle has sides 5,12, and 13, then the perimeter is 5+12+13 = 30.
Triple each side to get a larger triangle of 15, 36, and 39. The larger perimeter is 90 after adding those larger sides. Note the jump from 30 to 90 is "times 3". It's not a coincidence that the perimeter has multiplied by the same scale factor as the side lengths.
Also note that 15^2+36^2 = 39^2. Both sides lead to 1521. This indicates we have a right triangle and (15,36,39) is another pythagorean triple. Any scaled version of a pythagorean triple, is also a pythagorean triple.
-------------
In short, we've found that a triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.
Answer: 15 ft, 36 ft, 39 ftThe half-life of a radioactive kind of radium is 11 days. If you start with 72 grams of it, how
much will be left after 22 days?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Radioactive decay.
N(t) = 72(1/2)^22/11
==> N(t) = 72 (1/2)^2
==> N(t) = 72/4
==> N(t) = 18 grams.
So the remaining would be 18 grams.
No links/downloads. Please help me with my math homework
Answer:
Step-by-step explanation:
Let's baby-step this to make it easy, ok? Begin by getting rid of all the fractions, which means we will eliminate the 3 from the 1/3 by multiplying both sides be 3:
[tex]3V=\pi r^2 h[/tex]
If we want to eventually isolate the r, we need to move the h and the pi. Do this by division, since each of these is multiplied by r-squared. Doing that gives us:
[tex]\frac{3V}{\pi h}=r^2[/tex]
Lastly, to undo a square, we have to take the square root. We will do that for both sides of the equals sign:
[tex]+\sqrt{\frac{3V}{\pi h} }=r[/tex]
The positive is out front there to indicate that we don't want the negative value since distance is a measure that will never be negative.
Time Warner Cable has a $50 setup fee and costs $30 per month for internet. Verizon Fios has no setup fee and costs $40 per month. In how many months will the cost be the same for both services? PLEASE HELP ME!
Which prism has a greater volume?
7
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3
3
Prism A has 17 more cubic units of volume than prism B.
Prism A has 7 more cubic units of volume than prism B.
Prism B has 3 more cubic units of volume than prism A.
Prism B has 8 more cubic units of volume than prism A.
Answer:
b
Step-by-step explanation:
ASAP someone help me
Answer:
[tex] \frac{1}{2} 23\times 9.5 \\109.25 \\ = 110yd^{2} [/tex]
Pls help jsjsjzvzjsjdjdjdjjjwjwj
6 and 8
Step-by-step explanation:
they are close to 7
Keisha and Justin rappel down the side of a cliff. Keisha is at a position −45 feet from the top of the cliff. Justin is at a position −39 feet from the top of the cliff. Which of the following best compares their positions?
A.Keisha's position is lower than Justin's position because − 45 < − 39
.B.Keisha's position is lower than Justin's position because − 45 > − 39.
C.Justin's position is lower than Keisha's position because − 45 < − 39
.D.Justin's position is lower than Keisha's position because − 45 > − 39.
Answer:
b -45 is lower that -39 feet at -45 > - 39
Step-by-step explanation:
Find quotient and reminder, when 436 divided by 60. Please help and hurry!’
there are 3 red, 1 blue and 2 purple marbles in a bag. once a marble is selected, it is replaced. what is the probability of picking a purple and blue? P (purple and blue)
Answer:
here
Step-by-step explanation:
There are total (3 purple + 4 orange + 1 green) = 8 marbles in the bag . Now, 2 marbles out of 8 marbles can be selected in C(8,2) = 8!/2!6! = 28 no. of ways . And 2 purple marbles out of 3 purple marbles can be selected in C(3, 2)
= 3!/2! 1! = 3 no. of ways. Hence the required probability = 3/28
Answer:
1/15
Step-by-step explanation:
3 red, 1 blue, 2 purple
P of purple and blue is the
P of purple * P blue =
(2purple/(3+1+2) )* (1blue/ (3+1+2-1)) = (2/6) * (1/5) = 2/30 = 1/15
A rectangular patio has a length of 558 and a width of 112 . What is the area?
Answer:
Area of a rectangle is given by product of length and width. Hence width is area divided by length.
[tex] \sf{ \boxed{ as \ area \ is \: 5 \frac{3}{8} = \frac{4}{38}}}[/tex]
Answer:
Solution given:
length [L]=558
width[W]=112
Now
area of rectangular patio :LW=558*112
=62496
You have a set of 10 cards numbered 1 to 10. You choose a card at random. Event A is
choosing a number less than 8. Event B is choosing an even number. Calculate the
probability of A NB.
P(A NB) =
Answer:
35% or 35/100
Step-by-step explanation:
Gage Millar, Algebra 2 tutor
Choosing a number LESS than (not equal to 8) is 7/10 (1,2,3,4,5,6,7)
Chosing an even number is 5/10 (2,4,6,8,10)
so just multiply 7/10 x 5/10 to get 35 over 100, or a 35% chance
The perimeter of the rectangle is 28 units.
What is the value of w?
O 5 units
0 7 units
w
14 units
2w-1
O
15 units
The value of w according to the given description is; 5units
Perimeter of a rectangleThe perimeter of a rectangle is given as;
P = 2 (l + w)
Hence, In this scenario;
28 = 2 (w + 2w -1)
28/2 = 3w -1
14 + 1 = 3w
3w = 15
w = 5.
Read more on perimeter of a rectangle;
https://brainly.com/question/24571594
Please help me you must be absolutely sure.
Answer:
2
Step-by-step explanation:
absolutly sure
Word problem with multiplication and
A small theater had 6 rows of 26 chairs each. Workers just removed 7 of these chairs. How many chalrs are left?
gary has 20 pairs of socks in his drawer and 6 of those pairs are black 4 are yellow and 10 are white. what is the probability that if picks out of the drawer at random that they are not yellow
Answer:
The chance of not getting a yellow pair is 80% or 8/10
Answer:
4/5
Step-by-step explanation:
Probability: (ways to get a desired result) / (total possibilities)
There are 16 non-yellow socks and 20 socks.
Thus, the probability of not picking a yellow sock is:
16/20 = 4/5
Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the fifth number.
Answer:
17
34
Step-by-step explanation:
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
the missing number can either by the highest value or the lowest value. this is because none of the numbers given when subtracted from each other would give a value of 14
let x = missing number
14 = x - 20
x = 20 + 14 = 34
or
14 = 31 - x
x = 31 - 14
x = 17
I need help!!!!!!!!!!!!!
Answer:
D i think
Step-by-step explanation:
Find the value of x
:]]]]
Answer:
175 degrees
Step-by-step explanation:
So we see that this is a supplementary angle, which means it is equal to 180/ So set the equations up and solve for x:
[tex]180=29+(x-5)\\180=24+x\\156=x\\[/tex]
Then, plug 156 back into the equation:
[tex]180-5\\175[/tex]
Therefore, your answer is 175 degrees
In AABC, m2A = 87° and m2 B= 23°.
Select the triangle that is similar to AABC.
A. APQR, in which m2p=110° and
mZR= 23°
O B. ASTU, in which m2 S = 87° and
mzU= 70°
O C. ALMN, in which mZM = 20° and
m2N= 87°
O D. AXYZ, in which m2 X = 87° and
m2 Z= 50°
The triangle similar to ΔABC is ΔSTU, in which m∠S = 87° and m∠U = 70°. Option C
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
In ΔABC, we know that m∠A = 87° and m∠B = 23°.
The angle m∠C must therefore be 70°,
since the sum of the angles in a triangle is always 180°.
now, we have,
In ΔSTU, we are given that m∠S = 87°, which corresponds to ∠A in ΔABC.
We are also given that m∠U = 70°, which corresponds to ∠C in ΔABC.
so, we get,
as, This is because two triangles are similar if their corresponding angles are congruent.
Therefore, ΔSTU is similar to ΔABC.
The above answer is in response to the full question below
In Δ ABC, m∠A = 87° and m∠B = 23°.
Select the triangle that is similar to ΔABC.
A. ΔXYZ, in which m∠X= 87° and m∠z = 50°
B. ΔLMN, in which m∠M=20° and m∠N=87°
C. ΔSTU, in which m∠s = 87° and m∠U=70°
D. ΔPQR, in which m∠P= 110° and m∠R = 23°
Find more exercises on similar triangles;
brainly.com/question/25882965
#SPJ2
what is the measure of <C
Answer:60
Step-by-step explanation:
Since this is an equilateral triangle, all of the interior angles measure 60°.
The solution to 8x = 32 is x = ___. (3 points)
Question 1 options:
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
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6The solution to 8x = 32 is x = ___. (3 points)
Question 1 options:
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Answer: 32
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
[tex]8x = 32\\\frac{8x}{8} = \frac{32}{8} \\x= 4[/tex]
Melanie brought 9 gallons of pink
lemonade to the school picnic, and
Shelby brought 16 quarts of orangeade.
How many gallons did the two girls
bring to the school picnic?
Answer: 25 Gallons
Step-by-step explanation:
My answer is correct because, if were just finding out how much gallons did both the girls bring then we just have to add 9 plus 16. 9 plus 16 equals 25.
Hope This Helps!
Which way is the wind blowing in relation to the land and ocean?
Answer: Hope This Helps!
Step-by-step explanation:
This wind happens to be the sea breeze. The sea breeze is a thermally produced wind blowing during the day from the cool ocean onto the adjoining warm land. It is caused by the difference in the rates of heating between the land and the ocean. The bigger the difference in temperature, the stronger the wind.
Answer:
When the air mass above the land becomes cooler than the air mass over water, the wind direction and convective cell currents reverse and the land breeze blows from land out to sea.
Step-by-step explanation:
hope I helped here’s a funny comic just for fun!
Tim's mother has $24 left after buying school supplies. The next day she earns $232. She then divides all of the money equally among Tim and his 3 sisters. How much money does Tim have?
Answer:
Tim has 64 dollars. I did the math and I know I'm right
A hemisphere has a diameter of 10 inches. what is the surface area of the hemisphere
Step-by-step explanation:
surface area of hemisphere=2πr²
2×22/7×5×5157.14in²stay safe healthy and happy ..In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing?
Answer:
6 feet = 1 inch
Step-by-step explanation:
The actual length of the room = 24 feets
The new scaled lengtb of the room = 4 inches
The scale of a drawing = actual length / scaled or model length
Hence, scale used = 24 feet / 4 inch = 6 feet / 1 inch
The scale of the new drawing :
6 feet : 1 inch
6 feet length of actual room length is equivalent to 1 inch length on the drawing
−7 + 14 = 8 − 6
Group of answer choices
6
7
5
-3
The lifespan of a hamster is 4 years less than that of a rabbit. The lifespan of a raccoon is 2 times that of the hamster. If the total lifespan of the animals is 24 years, calculate the longevity for the rabbit.
Answer:
9 years
Step-by-step explanation:
Let
Lifespan of rabbits = x
Lifespan of hamster = x - 4
Lifespan of raccoon = 2(x - 4)
Total lifespan of animals = 24
Total = rabbits + hamster + raccoon
24 = x + (x - 4) + 2(x - 4)
24 = x + x - 4 + 2x - 8
24 = 4x - 12
24 + 12 = 4x
36 = 4x
x = 36/4
x = 9 years
longevity for the rabbit = 9 years
Lifespan of rabbits = x = 9
Lifespan of hamster = x - 4
= 9 - 4
= 5
Lifespan of raccoon = 2(x - 4)
= 2(9 - 4)
= 2(5)
= 10
Total lifespan of animals = 24
Please help i wip ldo anything!!
Answer:
yes they are simlar because they are both that shape
Step-by-step explanation:
Solve log 2x = log,2, 16 using the one-to-one property of logarithms.
A) x= 2
B) x= 4
C) x= 4
D) x = In 8
Answer: it’s D. X=8
Step-by-step explanation: