Write 14/square root of 2 + square root of 50 in the form b square root of 2 where b is an integer
Step-by-step explanation:
[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]
The given expression can be written in the form of b√2 as 12√2 where b = 12.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].
It can be rewritten as,
[tex]14/\sqrt{2}+\sqrt{50}[/tex]
Multiply √2 to both numerator and denominator of 14/√2 as,
14√2/2 + √50
⇒ 7√2 + √(5 × 5 × 2)
⇒ 7√2 + 5√2 = 12√2
On comparing 12√2 with b√2, it is obtained as,
b = 12
Hence, the given expression can be written as 12√2.
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omggggggg i dont know please helppppppppppp meeeeeee
Answer:
12
Step-by-step explanation:
Subtract 38 from 50, and get your answer
PLZ HELP ILL GIVE BRAINLIEST PLZZZ
Answer:
8/9
Explanation:
2/9 x 4/1 = 8/9
The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in
Answer:
2 in
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length
Plug in 8 as V and solve for s:
V = s³
8 = s³
Take the cube root of both sides:
2 = s
So, the length of one side is 2 inches.
The length of one side of cube will be 2 in i.e. option D.
What is volume ?Volume is the amount of space that something contains or fills.
Volume of the cube = side³ = a³
We have,
Volume of the cube = 8 in³
And,
Side of cube = a
So,
Volume of the cube = side³ = a³
i.e.
8 = a³
⇒ a³ = 8
a = ∛8
On solving we get,
a = 2
i.e.
Side of cube = 2 in
Hence, we can say that the length of one side of cube will be 2 in i.e. option D.
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How many solutions does |x+2|=0 have?
two solutions
one solution
no solution
Answer:
No solution
Step-by-step explanation:
Yesterday, there were 40 problems assigned for math homework. Adele did 10% of them correctly. How many problems did Adele get right?
Answer:
4
Step-by-step explanation:
10% in decimal form is .1
You would multiply 40 by .1 or 10%.
10% of 40 is 4.
A water tank contains 320 litres of water, correct to the nearest 10 litres. 50 litres of water, correct to the nearest litre, are removed from the tank. Calculate the upper bound of the amount of water left in the tank.
Answer:
[tex]N_l=270 litres[/tex]
Step-by-step explanation:
From the question we are told
Total litres of water [tex]N_t=320[/tex]
Total litres removed [tex]N_r=50[/tex]
Generally the Total litres left in the tank N_l is mathematically given as
[tex]N_l=N_t-N_r[/tex]
[tex]N_l=320-50[/tex]
[tex]N_l=270 litres[/tex]
Therefore the total water left in the tank is
[tex]N_l=270 litres[/tex]
What is the area of this circle?
Answer:
4π
Step-by-step explanation:
Area = πr^2 or πd
in this case, d = 4, so its 4π
How do you solve 3x7x4 using parentheses
Answer:
84
Step-by-step explanation:
Answer:
either (3x7)x4 or (3)(7)(4)
Step-by-step explanation:
Which expressions are equivalent to 12a+24b? Select all that apply. 10(2a+14b) 2(6a+4b) 6(2a+4b) 3(4a+8b)
Answer:
3(4a+8b)
Step-by-step explanation:
12a + 24b
= The common multiple between 12 and 24 is 3
3(4a + 8b)
Hence the expression which is equivalent to 12a + 24b is 3(4a+8b)
Why is x = 6 a solution to the proportion 192/36 = 32/x ?
Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right
Answer:
It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.
Step-by-step explanation:
If the angles are represented in degrees, find both angles:
cos(8x+18)=sin(−2x+36)
Answer:
24 and 66degrees
Step-by-step explanation:
Given the equation
cos(8x+18)=sin(−2x+36)
In trigonometry identity, cos theta = sin (90- theta)
The given expression becomes;
sin (90 - (8x+18)) = sin(−2x+36)
sin will cancel out to have;
90 - (8x+18) = (−2x+36)
90-8x-18 = -2x+36
-8x +72 = -2x+36
-8x + 2x = 36 - 72
-6x = -36
x = 36/6
x = 6
Hence the value of x is 6
cos(8x+18) = cos(8(6)+18)
= cos 66
Also
sin(−2x+36)
= sin(−2(6)+36)
= sin(−12+36)
= sin 24
Hence both angles are 24 and 66degrees
Determine the Value of x,y and z.
Answer:
x=9
y=16
z=12
Step-by-step explanation:
Define the variables for the situation. Then enter an equation.
The pencils were divided into 6 groups of 4.
p =
(select)
Enter an equation:
M
6
Answers:
The definition of the variable:
P = Pencils
The Equation:
[tex]\frac{p\\}{6}[/tex] = 4What we know:
The pencils were divided into 6 groups of 4.
The variable for pencils is P.
Step-by-step explanation:
So, to find the equation we plug-in P over 6 because we are dividing the pencils into 6 groups. We plug in the number 4 in the right-hand box because it represents the number which is in each group. So this equation shows that the Pencils (P) is split into 6 groups with 4 pencils in each group.
I hope this helps! Have a great day! :D
15 EASY POINTS.............
Answer:
x³+7x²+14x+8
Step-by-step explanation:
distribute!
(x³+3x²+2x)+(4x²+12x+8)
add the similar values
x³+7x²+14x+8
Answer:
do math
Step-by-step explanation:
Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO
Answer:
45448
Step-by-step explanation:
The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the numbers?
Answer:
The second number = 30
The first number = 25
The third number = 50
Step-by-step explanation:
Let
The second number = x
The first number = x - 5
The third number = 2(x - 5)
Total = 105
105 = x + (x - 5) + 2(x - 5)
105 = x + x - 5 + 2x - 10
105 = 4x - 15
105 + 15 = 4x
120 = 4x
x = 120/4
x = 30
The second number = x
= 30
The first number = x - 5
= 30 - 5
= 25
The third number = 2(x - 5)
= 2(30 - 5)
= 2(25)
= 50
For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees
Answer:
Exact answer = 26π/45 feet.
or we can write it as 1.815 feet to the nearest thousandth.
Step-by-step explanation:
The circumference of the circle = 2*4*π = 8π feet.
So the length of S = (26/360) * 8π
= 26π/45 feet.
3. Fill the blanks to make the equivalent ratios. :9 = 10: 45 a. b. : 3 = 3:9
Answer:
:/
Step-by-step explanation:
an algebric expression that is true for all types of variable is called
Answer:
An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.
Step-by-step explanation:
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
how many differnt triangles can you make if you are given these three measurements for angles
Answer:
3
Step-by-step explanation:
i think?
Convert 27576 kilometres per hour to metres per second.
Answer:
27576 kilometres per hour = 7660 meter per second
What is the recursive rule for this geometric sequence?
3,3/2,3/4,3/8,...
a1=12;an=32⋅an−1
a1=32;an=12⋅an−1
a1=12;an=3⋅an−1
a1=3;an=12⋅an−1
Answer:
1
Step-by-step explanation:
1. What is the distance between Point A(-2,3) and Point B (-2,8).
Answer:
5
Step-by-step explanation:
a) Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x = 1
Answer:
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
Step-by-step explanation:
A solution of the polynomial is a root such that sign of dependent value changes, either from positive to negative or from negative to positive. Let [tex]f(x) = x^{3} + 6\cdot x - 5[/tex], [tex]x[/tex] is a solution of the equation if and only if [tex]f(x) = 0[/tex]. We proceed to evaluate the function at each bound:
x = 0
[tex]f(0) = 0^{3}+6\cdot (0) - 5[/tex]
[tex]f(0) = -5[/tex]
x = 1
[tex]f(1) = 1^{3}+6\cdot (1) - 5[/tex]
[tex]f(1) = 2[/tex]
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
Please show the solving
Step-by-step explanation:
YELLOW TRIANGLE:
[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]
PURPLE TRIANGLE:
Since one of the angle is 45°, x = BC = 6
To prove:
[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]
PINK TRIANGLE:
[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]
Anyone who can help me answer this I’ll brainliest you :)
Answer:
If <1 and <2 are complementary, and <2 and < 3 are complementary, then <1 and < 3 are also complementary.
Step-by-step explanation:
Two angles are complementary when they add up to the same whole. For example, two angles are complementary when they add up to 90 degrees. This is a simple "if A=B, and B=C, then A=C" situation. The angles may have different degrees but all add up to the same one, making them complementary.
what is the domain and range for a^x and a^-x?
n < -4
need answers fast math test to at 11:59 pm today but gotta get done faster than that.
plz. and thank you!!
Answer:
N would equal anything lower than -4 for example, -5 or -6
Step-by-step explanation:
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