Step-by-step explanation:
Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm
2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'
Answer:
a = b² + 3c
Step-by-step explanation:
The square of the number b is b² and 3 times c is 3c , then
a = b² + 3c
Answer ASAP: log base 4 of 405
Solve by substitution. x=y-9,5x+2y=11
We have two equations :
x=y-9
5x+2y = 11
We just have to plug the value of x in the second equation to find y :
5(y-9) + 2y = 11
5y - 45 + 2y = 11
7y - 45 = 11
7y = 11 + 45
7y = 56
y = 56/7 = 8
Finally, since x = y -9
x = 8-9 = -1
Good Luck
Answer:
X = -1 Y = 8
try downloading mathaway it might help with these problem types
MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?
Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
the question in the photo
Answer: b would be the answer
Step-by-step explanation:
An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?
I think you already got the explanation part
I've just solved for 'x' in here
And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.
You'll get 24 units!
I'm sorry, but it wouldn't let me answer earlier XD
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
PLEASE HELP FAST (ALL OF THEM PLESE)
Use the diagram to the right for questions 16 - 20.
MNP ~ SRP
Answer:
16) 16/3
17.) ength of PM = 20/3
18.) 60
19.) 30
20.) true
Step-by-step explanation:
4/6 = x/8
32/6=x
16/3=x
4/6 = x/10
20/3 = x
Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?
Answer:
7 buckets.
Step-by-step explanation:
17.5 / 2.5 = 7
Answer:
7
Step-by-step explanation:
17.5/2.5=7
PLZ HELP!!
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
The slope of this line is 1/4
Step-by-step explanation:
this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.
Answer: 3 over 12 or 1 over 4
Step-by-step explanation:
From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others
I WILL MARK BRAINEST!!!
#6 D and E please!
Answer:
Q1 = 13.5
Q3 = 17.5
Step-by-step explanation:
6d) ===============
12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20
I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.
First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:
12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20
Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.
To find the first quartile (Q1), find the median of the lower set.
12, 12, 13 === 14, 14, 17
The median here is the average of 13 and 14, so 13.5.
6e) ==============
Exactly the same process as above.
7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20
12 numbers again.
7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20
Now, to find the third quartile, find the median of the upper set.
17, 17, 17 === 18, 19, 20
The median is the average of 17 and 18, or 17.5.
I 3) Give the steps you will use to separate the variable and the solve the equation.
a) у/3 = 4
b) Zn - 6 = 8
pls pls pls pls give step by step answer I will mark brainlist
(1)
Multiply both sides by 3
y = 4 * 3
Simplify 4 * 3 to 12
y = 12
(2)
There are two possibilities for both z & n.
Solving for z:
add 6 to both sides
2n = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by n
z = 14/n
Solving for n:
add 6 to both sides
zn = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by z
n = 14/z
identify the steeper line y = 3x + 4 or y = 6x + 11
Answer:
y=6x+11
Step-by-step explanation:
The slope of y=3x+4 is 3 and the slope of y=6x+11 is 6.
Hope this helps :)
y = 3x + 4 is the steeper line with the slope 3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two lines are y = 3x + 4 and y = 6x + 11
In the given line y = 3x + 4
The slope of the line is 3
In the given line y = 6x + 11
The slope of the line is 6
Among the two lines the line y = 3x + 4 has less slope. So the the steeper line y = 3x + 4
Hence, y = 3x + 4 is the steeper line with the slope 3
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2
Answer:
(1) 5
(2) 20
(3) 28
(4) 25
Step-by-step explanation:
(1)
Substitute: 7 - 2
Calculate the sum or difference:
Answer: 5
(2)
Substitute: 2 × 7 + 3 × 2
Calculate the product or quotient: 14 + 6
Calculate the sum or difference: 20
Answer: 20
(3)
Substitute: 2 × 7 × 2
Calculate the product or quotient: 28
Answer: 28
(4)
Substitute: (7 - 2) ²
Calculate the sum or difference: 5²
Calculate the power: 25
Answer: 25
Answer:
Step-by-step explanation:
7-2=5
2×7+3×2=20
2×7×2=28
(7-2)^2
7-2=5
5^2=25
A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.
Answer:
Step-by-step explanation:
The surface area of a sphere is given by
A=4πr^2
The volume is
V = (4/3)πr^3
At r = 4":
A = 64π in^2
V = 85.3π in^3
At r = 5" (a 25% increase in r)
A = 100π in^2 (a 156.25% increase)
V = 167π in^3 ( a 195.8% increase)
We can show the ratio of these two measures by dividing the Volume by the Area:
V/A = ((4/3)πr^3/(4πr^2))
V/A = (1/3)r
For the 2 examples (4" and 5"), V/A is:
4": (85.3π in^3)/(64π in^2) = 1.33 [(1/3)r = 4/3 = 1.33]
5": (167π in^3)/(100π in^2) = 1.67 [(1/3)r = 5/3 = 1.67]
V/A = (1/3)r
Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.
PLSSS HELP
Order the numbers from least to greatest
Answer:
It is the Last answer D
Step-by-step explanation:
because 15/2 is equal to 7 1/2
the square room of 64 is 8
and 8.1444444 is less than 8 1/7
Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h[tex]2[/tex] b[tex]\2[/tex])/2
plz help need asap .............
In november 2010 the average cost of 5 gallons of regular undleaded gasoline in the united states was $14. 46 what was the average cost for 16 gallons for gas.
Answer:
The answer is 426.72.
Step-by-step explanation:
Take the number 14.46 and divide it by 5, and after that take that number and multiple it by 16.
how do i do this? geometry
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.
7. Write an equation for the line in slope- intercept form
Answer:
y equals -2x - 3
Step-by-step explanation:
hope it helps
(would appreciate mark brainliest)
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
x>-6
1st step: 3(x-1)>-15------(3x-3)>-15
2nd step: subtract -3 from -15 which is -18
3rd step: 3x>-18------x>-6
Answer:
x > -4
Step-by-step explanation:
First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.
Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.
Hope this helps :)
Also I love the kitty lol, but what's with the hair tie?
help please! 90 points
Elsa recorded the different types of ice cream her friends like in the table below: Ice Cream Type Number of Friends Chocolate 3 Pistachio 1 Strawberry 2 Vanilla 4 Which of the following plots represents the data in the table? A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.
Answer:
Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla
Answer:
The answer is A
Step-by-step explanation:
I took the exam
12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!
Answer:
57.142%
Step-by-step explanation:
28-12=16
16/28*100=57.142%
Linda has 28 jackets 7 of them so it have a cap write 2 ratios that compare the number of jackets without caps to the number of jackets with caps?
Answer: (5/12)m
Step-by-step explanation: hope this helps (～﹃～)~zZ
Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61, n=39, and s=3.79.
Work Shown:
[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]
b. Solve 3v – 5 = 2v + 10 by gathering the constant terms on the left side
and the variable terms on the right side of the inequality.
Answer:
so subtract -2v to the left side add 5 to the right side so your left with
v = 15
Answer:
15 = v
Step-by-step explanation:
First start by grouping like terms,
=> - 5 - 10 = 2v - 3v
evaluate the LHS and RHS
=> - 15 = - v
Divide through by the coefficient of v, which in this case is - 1
=>
[tex] \frac{ - 15}{ - 1} = v[/tex]
Therefore, 15 = v
which expression is equivalent to 3(x+5)-6
A) 3x-3
B)3x-1
C )3x+9
D) 15x-6
Answer:
answer C. 3x + 9
Step-by-step explanation:
3(x + 5) - 6 =
3x + 15 - 6 =
3x + (15 - 6 ) =
3x + 9
3(x+5)-6
Multiply 3 by the inside parenthesis:
3x+15-6
Subtract
3x+9
This means our answer is C) 3x+9
I hope this helps! :)
I WILL GIVE BRAINLIEST!! PLS HELP
Answer:
BC is congruent to EC by definition of bisect.
<ABE is congruent to <BED by alternate interior angles.
<ACB is congruent to <ECD by vertical angle theorem.
Triangle ABC is congruent to triangle DEC by ASA congruence theorem
Answer:
Ooook. One thing at a time
C is the midpoint of AD and BE: The two segments bisects each other.
Being the midpoint AC≅CD and BC ≅CE.
The triangles are congruent by SSS.
Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.