Answers
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
To learn more about the partial spiral visit:
https://brainly.com/question/27697600.
#SPJ2
Related Questions
Find the slope: (-2,5) and (2,1
Answers
sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat
Answers
Answer:
$50
Step-by-step explanation:
1. First you need to divide 70 by 7.
2. Your answer should be 10.
3. You then need to multiply the product, 10 by 5.
4. You answer should be 50 and because we are using this in a money situation the answer is $50.
Answer:
50
Step-by-step explanation:
25+c+b
Answer Choices:
A)41
B)32
C)40
D)37
Answers
Answer:
C
Step-by-step explanation:
anyone please help with this please
Answers
Choice 2) 44
From definition of a parallelogram, the opposites are equal. Therefore we can conclude that 4x+28=10x+4, then solve.
6x=24
x=4
RS=10x+4=10*4+4=44
Answer is 44. Done!
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answers
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
What is the probability of rolling a 3 on a six-sided cube AND rolling a 6 on a six-sided cube?
ob
Answers
Answer:
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30
Step-by-step explanation:
These are independent events.
The probability of rolling a 5 is 1/6.
The probability of spinning a 5 is 1/5.
The probability of rolling a 5 or spinning a 5 is 1/5+1/6=11/30 but you have to subtract 1/30 because you can roll a 5 and spin a 5 at the same time. Therefore 11/30-1/30=10/30=1/3.
There are 30 outcomes. Roll first then spin to get the following outcomes:
11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65
You want to roll a 5 OR spin a 5. How many combinations have a 5 ? 10 combinations have a 5.
(you don't count 55 twice) There are 10 combinations with a 5 out of a possible 30 combinations.
Another way of looking at the problem is the following:What is the probability of NOT rolling a 5 AND NOT spinning a 5 ?
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30. Therefore the probability of rolling a 5 or spinning a 5 is 1-20/30=10/30.
Answer:
16.7%
Step-by-step explanation:
There are 6 sides and one three on the cube so rolling a three would be 1/6. To roll a 6 on a 6 sized dice would be the same there’s 6 sides and one 6 so it would be 1/6
Bridget is a sales person. She sold a microwave for $70 and earned 5%commission. How much commission did Bridget earn?
Answers
At a competition 24 of the 40 members of a middle school band won a middle. What percentage of the of the band won a middle?
Answers
Answer:
60%
Step-by-step explanation: 24/40 equals .6. Multiply .6 by 100 to get your percentage, which equals 60%. hope this helps
Which expression is equivalent to 5x +10y-15?
A. 5(x-2y-3
B. 5(x5y-10
C. 5(x+2y-3
D. 5(x2y-15
Answers
Answer:
C
Step-by-step explanation:
Answer:
its a hehehehehehhehehe\
Step-by-step explanation:
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Answers
Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
Use the distributive property to remove the parentheses.
-5(-w-3v+6)
Answers
Answer:
5w+15v-30
Step-by-step explanation:
Are these two lines parallel? Why or why not?
y=5x+6 and y=6x+5
Answers
Answer:
No
Step-by-step explanation:
The slopes of the equations are unequal, meaning the lines are not parallel and will eventually intercept
And here is another question. Thanks for the help y'all
Answers
Answer:
Multiply 3.75 times 1.5
Step-by-step explanation:
Are the 2 lines:
y = 4x - 3 and y = (1/4)x +3
Parallel, Perpendicular, or Neither?
Please let me know an explanation would be great I hate my math teach but thank you!
Answers
Answer:
Step-by-step explanation:
Both equations are in slope-intercept form, so the coefficient of x is the slope of the line.
y = 4x-3
slope = 4
y = (¼)x + 3
slope = ¼
If the slope are the same, the lines are parallel. If the product of the slopes = -1, the lines are perpendicular.
4×¼ = 1
The lines are neither parallel nor perpendicular.
Devide. Reduce to lowest terms 3/8 1/7
Answers
Multiply the numerators and the denominators separatley.
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).
Does 5, square root of 15, 5 make a right triangle?
Answers
Answer:
No
Step-by-step explanation:
This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b
Hope this helped
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answers
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
a number divided by 3 minus 5 is less than 10
Answers
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.
K = ?
y = ?
Answers
Answer:
k = 24, y = 24x
Step-by-step explanation:
Given x and y are proportional then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = 72, x = 3 , then
72 = 3k ( divide both sides by 3 )
k = 24
y = 24x ← equation of proportion
Write the equation of the ellipse with the endpoints of the major axis (-11, 0) and (11, 0) and minor axis (0, -3) and (0, 3)
I don't particularly care about the answer, more judt the explanation of how I'm supposed to find it. thank you!!
Answers
Answer:
x/121 + y/9 = 1
Step-by-step explanation:
The major axis is 22 units long, in a horizontal line, and the center is in the middle of the major axis line segment. The center is at the origin. The distance of the whole axis is 22, and its endpoints are 11 units from the center. The axis length is 2a = 22, so a = 11.
Becasue the major axis is horizontal, this ellipse is wider than it is tall.
The minor axis is perpendicular to the major axis and it always shoter (hence the name 'minor'). In this case, it is vertical, is 6 units long, so we say that 6 = 2b, and b = 3.
The ellipse center is (h,k). But in this case, the center is the origin, so h = 0 and k = 0.
The equation for a horizontal ellipse is (x-h)²/a² + (y-k)²/b² = 1, a>b
(x-0)²/11² + (y-0)²/3² = 1
*** x/121 + y/9 = 1
The equation for a vertical ellipse is (x-h)²/b² + (y-k)²/a² = 1, a>b
If the bigger denominator is under 'x' term the ellipse is horizontal, with the longer axis being horizontal.
If the bigger denominator is under the 'y' term, the ellipse is vertical, with the longer axis being vertical.
I'm including 2 files.
The 'brainly ellipse' is form this particular problem.
The 'General Ellipse Info' is a collection of my personal math notes on elleipses.
Hope this helps.
*** Let me try the 2nd attachment again as a PDF. You may not have MS Office 10.
Please help!!!!
a sweet snack and a salty snack. Here is a two-way table showing the number of adults
and children who made each choice of snack. Answer each question below using the
table.
sweet snack salty snack total
adult 57
88
145
child 77
31
108
total 134
119
253
134
1. How many total people chose sweet snacks?
people
145
adults
2. How many adults chose salty snacks?
3. What percentage of the people who attended the social were children?
Round your answer to the nearest tenth. Do NOT grid in the percent symbol.
Answers
Answer:
76
Step-by-step explanation:
khan x math
How do you do this?
Answers
Answer:
Legs: [tex]x[/tex]
Hypotenuse: [tex]\sqrt{2}\cdot x[/tex]
Step-by-step explanation:
In this case, a 45-45-90 right triangle is a right triangle whose legs have the same length and hypotenuse is [tex]\sqrt{2}[/tex] times the length of any of the legs. Then, the dimensions of this triangle are, respectively:
Legs: [tex]x[/tex]
Hypotenuse: [tex]\sqrt{2}\cdot x[/tex]
You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
Answers
Explanation:
1600 • 0.09 = 144
1600 + 144 = 1744
Create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole number.
Answers
Please i need someone help.
Answers
Answer: I can help :)
Step-by-step explanation:
What is the arithmetic of the following numbers? 3, 5, 6, 7, 9, 6, 8
Answers
Answer: sorry pressed the wrong button
Step-by-step explanation:
✅Mean:
➡️Sum of total numbers/Total numbers
3+5+6+7+9+6+8 / 7
44 / 7 = 6.285
MARK ME AS BRAINLIST IF THE ABOVE ANSWER HELPS U♥️♥️♥️....
Find the distance between C(-5,4) and Q(2,0)
Answers
9514 1404 393
Answer:
√65 ≈ 8.06
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-5))² +(0 -4)²) = √(7² +(-4)²) = √(49 +16)
d = √65 ≈ 8.0622577
The distance between C and Q is √65, about 8.06 units.
y - 7.74 = 9.1
solve for y
Answers
ANSWER y=16.84
Answer:
y = 16.84
Step-by-step explanation:
y - 7.74 = 9.1
=> y = 9.1 + 7.74
=> y = 16.84
2) In a geometric sequence, a3 = 128, a4 = 64, and a5 = 32. What is a10?
PLZ HURRY UP NO TIME
Answers
Answer:
1
Step-by-step explanation:
As the value of a goes up, the numbers are being divided by 2.
a3 = 128
a4 = 64
a5 = 32
a6 = 16
a7 = 8
a8 = 4
a9 = 2
a10 = 1
Homework, 20 points for whoever answers
Note: if you don’t know the answer or unsure of it, please do not say it or type “I don’t know” as the answer, it takes away my points and my time, thank you :D
Answers
Answer:
3) D
4) C
Step-by-step explanation:
1/2 + 1/4 = 3/4
17.6-4.4 = 13.2
y=3/4-1/2
y=3/4-2/4
y=1/4 answer D
4. 13.2=t-4.4
13.4+4.4=t
17.6=t answer C