Answers
Answer:
Option 1 , 2 & 5
Step-by-step explanation:
4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.
Verification :-
1)[tex] \sqrt{ \frac{1}{10} } = \frac{ \sqrt{1} }{ \sqrt{10} } = \frac{1}{ \sqrt{2} \times \sqrt{5} } [/tex]
Hence , it is irrational.
2)[tex] \sqrt{ \frac{1}{8} } = \frac{ \sqrt{1} }{ \sqrt{8} } = \frac{1}{2 \sqrt{2} } [/tex]
So , it is irrational.
3)[tex] \sqrt{ \frac{1}{16} } = \frac{ \sqrt{1} }{ \sqrt{16} } = \frac{1}{4} [/tex]
So , it is rational.
4) [tex] \sqrt{\frac{1}{4} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]
So it is rational.
5) [tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } = \frac{1}{ \sqrt{2} } [/tex]
Hence it is irrational.
Related Questions
What is the equation of the line that passes through the point (6, -6) and has a slope of -5/3
Answers
Answer:
y= -5/3x + 4
Step-by-step explanation:
hope this helps :)
3(y + 8) = 2y - 6, when y = 30
Answers
Answer:
Statement is not true
Step-by-step explanation:
left side of the equation is 114 and the right side equals 54
What’s the answer for this equation?
1/2 * (1, 341 + 625)
Answers
Answer:
1,966 I think
Step-by-step explanation:
Answer:
982.5
Step-by-step explanation:
Always do the parenthesis first
1/2 * 1, 341 + 1/2 * 625
670 + 312.5
982.5
What is the value of x?
45°
m
1(2x - 5)°
n
Answers
Answer:
x = 70
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then
45 + 2x - 5 = 180, that is
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
What is the slope of the line?
Answers
Answer:
Step-by-step explanation:
by inspection.. ( looking at the graph) we can see that the slope is down hill. so it's going to be negative and also slope = rise / run [rise is negative in this question] soo ... i'm looking carefully to see where the line is crossing the grid marks exactly .. it looks like to me (-3,1) and (2,-3) you tell me if that looks right... if it does .. then the rise / run is 4/5 and this is a negative slope sooo
- 4/5
:)
What is the Greatest Common Factor of 16 and 72?
Answers
Answer:
8
Step-by-step explanation:
there really isn't a huge explanation just that both can have 8 go into it equally lol
At 9 AM, one share of Starbucks stock was $47. By 1 PM the price was $52. The rate the Starbucks stock value was changing is $ ___ per hour.
How would I solve this?
Answers
Answer:
$1.25/hour
Step-by-step explanation:
9am to 1 pm = 4 hours
52-47=5
5/4 = $1.25/hour
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answers
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
3y - 15 =y + 1 solve for y
Answers
A n s w e r:
y = 8
Hope this helps!
Hi I have my answer in I’m just confused and think it’s gonna be wrong so could u guys help me
Answers
Answer:
I believe the first one is rotation And the second is ABC= DEF.
Step-by-step explanation:
My geometry is really rusty so I apologize if they’re wrong
CLASS
Joanna had four candy bars
. She wanted to find out how many people could share the bars if each person
received- of a bar. Use the candy bar picture below to help you.
What is the answer to Joanna's question?
4.
Answers
Complete question :
Joanna had four candy bars. She wanted to find out how many people could share the bars if each person received 2/3 of a bar. Use the candy bar picture below to help you.
What is the answer to Joanna's question?
Kindly find attached candy bar picture below
Answer:
6 people
Step-by-step explanation:
From the picture, each candy bar has already been divided equally into 3. Since we have 4 candy bars. The total number of divisions we have is ; (3 * 4 = 12 candy units).
Since each person is taking 2/3 of a bar, this is equal to 2 units of candy
Hence, number of people who could share the bar :
Total units or division / units person
12 / 2
= 6 people
(a) Principal
Rs. 500
Rate (R)= 3%
Time = 3 years
Answers
Step-by-step explanation:
s.i=prt
=500×0.03×3
=45
The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width
Answers
Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
The length and the width of the rectangle are 28 in and 21 in, respectively.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.
The area of a rectangle is given by the formula:
Area = Length × Width.
Given that the area is 588 in², we can set up the equation:
(4x)(3x) = 588
12x² = 588
Dividing both sides of the equation by 12:
x² = 588 / 12
x² = 49
Taking the square root of both sides:
x = √49
x = 7
So, x = 7.
Now we can find the length and width:
Length = 4x = 4(7) = 28 inches
Width = 3x = 3(7) = 21 inches
Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
Can someone please help me
Answers
Answer:
y=89
Step-by-step explanation:
because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42
Please help me 15 points for doing both 3 and 4
Answers
ok what you need in 3 and 4
Answer:
free points
Step-by-step explanation:
hahaha
What is the solution to this inequality?
-6x + 5 > -1
A: x > -1
B: X 1
D: X < -1
Answers
Step-by-step explanation:
-6x + 5 > -1
-6x > -6 (subtract 5 on both sides)
x < 1 (divide -6 on both sides, flip the sign)
Hence the answer is x < 1.
Answer:
b i hope
Step-by-step explanation:
The ratio of males to females was 4:5. If there are 180 people at the fair how many males
are there?
Answers
9514 1404 393
Answer:
80
Step-by-step explanation:
Let m represent the number of males. Then you have ...
m/(180 -m) = 4/5
5m = 4(180 -m) . . . . cross multiply
9m = 720 . . . . . . . . add 4m, simplify
m = 80 . . . . . . . . . . divide by 9
The number of males at the fair was 80.
5(2x - 5) + 10x = 75
Answers
Answer:
x = 5
Step-by-step explanation:
5(2x-5) +10x = 75
10x -25 +10x = 75
20x - 25 = 75
20x = 100
x = 5
Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2
Answers
Answer: B. 254.34 cm^2
Step-by-step explanation:
The area of a circle is pi times the radius squared.
Using the diameter we have to find the radius.
The diameter is two times the radius meaning that the radius is half the diameter.
18/ 2 = 9
The radius will be 9 cm
Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume
v = 3.14 * 9^2
v= 3.14 * 81
v = 254.34 cm^2
Answer:
The answer would be B) 254.34 cm2
Step-by-step explanation:
A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.
Answers
Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
Using the diagram below, find DE.
Answers
Answer:
I found it
Step-by-step explanation:
0+2=-2/3(x-6)
What is X?
Answers
Answer:
x=3
Step-by-step explanation:
Hope it helps youuuuuu
good luckk
Which statement is correct about the system of linear equations graphed below?
O The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
O The system of equations does not have one solution because the lines will eventually intersect.
Answers
Answer:
2
Step-by-step explanation:
What is the solution to the system of equations?
Answers
Answer:
y=-5x+30
y=-5×10+30
y=-50+30
y=-20
x=10
Find AB
D
A
5x B 4x + 3 C
AB
Answers
Answer:
15 units
Step-by-step explanation:
ΔADC is an isosceles triangle because it has 2 equal sides
AB = BC (DB is median so cuts AC into 2 equal parts)
AB = 5x, BC = 4x + 3
5x = 4x + 3
5x - 4x = 4x - 4x + 3 (subtracting 4 from both sides)
x = 3
AB = 5x
= 5(3)
= 15 units
Happy to help :)
The length of [tex]AB[/tex] is required.
The length of [tex]AB=15[/tex]
Triangles[tex]AB=5x[/tex]
[tex]BC=4x+3[/tex]
The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].
This means that [tex]AB=BC[/tex]
[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]
[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]
Learn more about triangles:
https://brainly.com/question/1675117
Find X.
Math it’s.com
Answers
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
A bicyclist rides 1/2 mile in 1/22 hour. Write this rate as a unit rate
Answers
(1/6)(90/1)
15
ay someone help me out please?
Answers
Answer:
a, c, and d
Step-by-step explanation:
Find XY. (help pleaseee)
Answers
Answer:
XY = 15Step-by-step explanation:
Its in the image.
I used Pythagoras theorem in solving for the unknown side.
Sorry for the rough working
true or false prime numbers are closed under subtraction?
Answers
Answer:
false
Step-by-step explanation: