Is the square root of 2times 10 the same as 2 square root 10

Answer:

a = -3 and b=5

Step-by-step explanation:

Given that 10 can be written as 2*5 or √2*√2*5, and √18 can be written as √(2*9) or √2*√9 or 3√2, you can write the fraction as:

[tex]\frac{5\cdot\sqrt2\cdot\sqrt2-3\sqrt2}{\sqrt2}[/tex]

So getting rid of the √2 factor, you get 5√2 - 3, so a=-3 and b=5

Answer: Answer:

Plane B was farthest away from the airport

Step-by-step explanation:

"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.

In plane A

The take-off angle is 44° and the height gained is 22 ft.

Apply the relationship for sine of an angle;

Sine Ф°= opposite side length÷hypotenuse side length

The opposite side length is the height gained by plane which is 22 ft

The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse

Applying the formula

sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse

In plane B

Angle of take-off =40°, height of plane=22miles finding the hypotenuse

Solution

After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport

After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."

Excerpt from Brainly

Answer:

Step-by-step explanation:

Part 3 :

We simply expand the brackets

(a+b)² = (a+b)(a+b)

(a+b)(a+b) = a²+ab+ab+b²  = a²+2ab+b²

This is part 3 done

Part 4:

We simply expand 3 brackets now:

(2x-1)³ = (2x-1)(2x-1)(2x-1)

We do the first 2 brackets first:

(2x-1)(2x-1) = 4x²-2x-2x+1 = 4x²-4x+1

Now we multiply this by the last bracket:

(4x²-4x+1)(2x-1) = 8x³ -4x²-8x² +4x+2x -1  = 8x³-12x²+6x-1

This is part 4 done

Hope this helped and brainliest please

Answer:

A)

Step-by-step explanation:

|3.7| = 3.7

Answer:

6

Step-by-step explanation:

you divide 200 people by 34 people per bus and get 5.88 (6)

Answer: 6 is correct! thax

USACanada

Step-by-step explanation:

The graphs of pool A and pool B are illustrations of piece-wise functions

The rate of both pools from t1 to t2, t is 0.

From 0 to t1, the rates of the pools are:

Pool A = A/t1

Pool B = B/t1

Where A represents the gallons of water in the pool and B represents the rate at time t1

From t1 to t2, the rate of both pools is 0.

This is so because both intervals are represented by horizontal lines

Read more about piecewise functions at:

https://brainly.com/question/3628123

Answer:

  x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

  3x +2x = 180°

  5x = 180° . . . . . . . . . collect terms

  x = 180°/5 = 36° . . . . . divide by 5

Answer:

x = 7, y = 8

Step-by-step explanation:

Knowing y = 8, we can substitute into equation and solve:

8 = x + 1

- 1       - 1

7 = x

Y is given, X is solved. Therefore:

x = 7, y = 8

Answer:

31° , 62° , 113° , 154°

Step-by-step explanation:

sum the 4 angles and equate to 360

y + 2y + 3y + 20 + 4y + 30 = 360 , that is

10y + 50 = 360 ( subtract 50 from both sides )

10y = 310 ( divide both sides by 10 )

y = 31

2y = 2(31) = 62

3y + 20 = 3(31) + 20 = 93 + 20 = 113

4y + 30 = 4(31) + 30 = 124 + 30 = 154

the 4 angles are 31° , 62° , 113° , 154°

Answer:

about 440 balls

Step-by-step explanation:

The volume of the container is first calculated

[tex]v=\pi (5)^{2} (14)=1099.6 cu.in[/tex]

It is now divided by the volume of the golf ball

[tex]#balls=\frac{1099.6}{2.5} =439.8[/tex]

Hope this helps

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

5/6 = 10/12

1/2 = 2/3

3/5 = 6/10

Hope this helped.

Answer:

11 is B and 12 is A

Step-by-step explanation:

Answer:

x = 5 , y = 15

Step-by-step explanation:

Since the figures are congruent then corresponding sides and angles are congruent , that is

WG = DG ( substitute values )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

∠ WGF = ∠ DGF , that is

15x + y = 90 ( substitute x = 5 )

15(5) + y = 90

75 + y = 90 ( subtract 75 from both sides )

y = 15

Answer:

the answer is H=3 miles

Step-by-step explanation:

Area of Trapezoid = [tex]{(Base1+Base2)/2 }* (Height)[/tex]

we sub the values we have in the formula:

18= ( 5+7)/2 * (H)

H = (2*18)/(5+7)

H = 3 miles

where is H is the Height

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

First, we combine like terms.

2-x = x-4

Next we move the variables to one side and the numbers to another

2x = 6

We divide by 2.

x = 3

Answer:

I believe the answer is 12.1km/per hour

Step-by-step explanation:

the number line : a potentially infinite horizontal line.

it shows all numbers, with 0 in the center, eher we are looking at it. the negative numbers go to the left of 0, with -1, -2, -3, ... going from right to left.

the positive numbers go to the right of 0, with 1, 2, 3 going from left to right.

point S = -14

and the distance to a point R (RS) is 10.

now, on such a line we can always go in 2 directions : left and right.

our starting point is S (-14).

going 10 units to the right (positive direction) we get to -4.

as -14 + 10 = -4

going 10 units to the left (negative direction) we get to -24.

as -14 - 10 = -24

so, R can be at -4 or -24.

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].

A sinusoidal function is represented by following model:

[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)

Where:

If we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:

[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/12078395

Work Shown:

[tex]-\frac{5}{4} \div \frac{1}{4}\\\\-\frac{5}{4} \times \frac{4}{1}\\\\-\frac{5\times4}{4\times1}\\\\-\frac{5}{1}\\\\-5[/tex]

Whenever you divide fractions, you flip the second fraction and multiply. In this case, the '4's cancel.

Answer:

supplementary angles

Step-by-step explanation:

they are on the same line, so they sum up to 180°

Answer:

2.726

Step-by-step explanation:

This question has a lot of answers because it doesn't specify a certain w or l.

11.6*9.4=109.04

109.04*.1/4=27.26

x*y=27.26

x*10=27.26

x=2.726

any two numbers could multiply to that number.

I just used 10 and got 2.726

Let Hypotenuse be x

X² = 20² + 28²

x² = 400 + 784

[tex] \tt x= \sqrt{400 + 784 } [/tex]

[tex] \tt x= \sqrt{1,184} [/tex]

[tex] \tt x= 34.4[/tex]

1. Observe problem

Restriction: Decimal Form

Least common multiple of 15 and 20 is: 60

Time sixty on both sides

40=3x

x=40/3

Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...

Answer: 13.3 repeating

Step-by-step explanation:

First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating

Answer:

$42.90

Step-by-step explanation:

You do 21.45 x 2, or you can add 21.45+ 21.45

This is because it was only two people, Kayla and her best friend.

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]

The equation can be written as

[tex]\rm 3x - 10y = 450\\[/tex]

For y = 15, the value of x will be.

[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

226.08 ft³

Step-by-step explanation:

[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)

[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]

Given:

[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]

Using the given exponential model, it is found that the number of fish in Skipper's Pond at the beginning of the year 2006 is given by:

B. 192

The exponential model for the number of fish in the Pond in x years after 2000 is given by:

[tex]y(x) = 3(2)^x[/tex]

2006 is 6 years after 2000, hence the amount is of y(6), that is:

[tex]y(6) = 3(2)^6 = 192[/tex]

Hence option B is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936