Which choice represents the best rational approximation for the square root of 20

Answer:

A ≈ 69.5°

Step-by-step explanation:

Given the triangle is right use the cosine ratio to find A

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{2.7}{7.7}[/tex], thus

A = [tex]cos^{-1}[/tex] ( [tex]\frac{2.7}{7.7}[/tex] ) ≈ 69.5° ( to 1 dec. place )

[tex]\huge\boxed{600,000 + 80,000 + 700 + 5}[/tex]

To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.

[tex]600,000 + 80,000 + 0 + 700 + 0 + 5[/tex]

We don't need to keep the zeros.

[tex]\boxed{600,000 + 80,000 + 700 + 5}[/tex]

We can check this by adding the numbers back up to get [tex]680,705[/tex].

[tex]680,000 + 700 + 5[/tex]

[tex]680,700 + 5[/tex]

[tex]680,705[/tex]

Answer:

1 17/39 boxes.

Step-by-step explanation:

3 1/4 rooves requires 2 2/6 boxes

So  2 rooves require 2 * 2 2/6  / 3 1/4 boxes.

= 2 * 14/6 /  13/4

= 28/6 * 4/13

= 56/39

= 1 17/39 boxes.

The question involves calculation of usage rate per roof by dividing the total boxes used by the number of rooves completed and then applying that rate to determine number of boxes needed for 2 rooves.

The question asks how many boxes of nails a carpenter would use for 2 rooves if he goes through 2 2/6 boxes to complete 3 1/4 rooves. To find out the number of boxes needed for 2 rooves, we need to calculate the rate of nail box usage per roof and then apply that rate to 2 rooves.

First, we simplify 2 2/6 to a mixed number: 2 1/3.
Then we divide the number of boxes by the number of rooves to get the usage rate per roof:
2 1/3 boxes ÷ 3 1/4 rooves = usage rate per roof.
Once we get the usage rate, we multiply it by 2 to find the boxes needed for 2 rooves.
This process involves converting mixed numbers to improper fractions, performing division, and then multiplication.

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32/68- divide by 4 . 32/4=8, 68/4=17

22/28- divide by 2. 22/2=11, 28/2=14

21/49- divide by 7. 21/7=3, 49/7=7

Answers:

32/68=8/17

22/28-11/14

21/49=3/7

Step-by-step explanation:

[tex]\dfrac{32}{68}=\dfrac{32:2}{68:2}=\dfrac{16:2}{34:2}=\dfrac{8}{17}\\\\\\\dfrac{22}{28}=\dfrac{22:2}{28:2}=\dfrac{11}{14}\\\\\\\dfrac{21}{49}=\dfrac{21:7}{49:7}=\dfrac{3}{7}[/tex]

Answer:

Answer would be B.

Step-by-step explanation:

Answer: 30x

Multiply  

−

2

by  

5

.

−

3

x

⋅

−

10

Multiply  

−

10

by  

−

3

.

30

x

Answer:

6[tex]x^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

(-3x)(-2[tex]x^{5}[/tex])

= - 3 × [tex]x^{1}[/tex] × - 2 ×[tex]x^{5}[/tex]

= (- 3 × - 2) × [tex]x^{(1+5)}[/tex]

= 6[tex]x^{6}[/tex]

Answer:

C

Step-by-step explanation:

The square root of 49 equals 7

This equation can be rewritten as m-5=7

m-5=7

1) add 5 to both sides:

m=12

Nothing else can be done so m=12 is your final answer (c)

Answer:

If its multiplying then 40 if adding then 31.2

Step-by-step explanation:

Put 80 over 100

simplify to get 4/5x  = 32

Multiply both sides by 5/4 (because you flip)

the fives cancel out and the fours

then you have x=5/4 x 32

four goes into 32 making it x=5 x 8

5x8=40  

:)

Answer:

The answer is 40.

Step-by-step explanation:

80% + 20% = 100%

80% ÷ 20% = 4

32 ÷ 4 = 8

32 + 8 = 40

100% = 40

Answer:

for the first one 9.407×10^−11

Step-by-step explanation:

Final answer:

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. To divide, divide the coefficients and subtract the exponents. Ensure the final coefficient is between 1 and 10 for proper scientific notation.

Explanation:

To answer the question regarding scientific notation, I'll demonstrate the steps using the examples you provided. Remember that when multiplying numbers in scientific notation, you multiply the coefficients (the numbers in front) and then add the exponents.

(8.18 × 10^-6)(1.15 × 10^-5) = (8.18 × 1.15) × (10^-6 × 10^-5) = 9.407 × 10^-11. Since the coefficient 9.407 is between 1 and 10, this is in proper scientific notation.

To divide two numbers in scientific notation, you divide the coefficients and subtract the exponents: (1.15 × 10^-7) ÷ (2.5 × 10^-3) = (1.15 ÷ 2.5) × (10^-7 − (-3)) = 0.46 × 10^-4. Since the coefficient 0.46 is not between 1 and 10, we need to adjust it to proper scientific notation, which would be 4.6 × 10^-5.

Answer:

B

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] = | y - 6 |

Squaring both sides

(x + 2)² + (y - 4)² = (y - 6)² ←  distributing

x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )

x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )

4y - 20 = - x² - 4x - 4 ( add 20 to both sides )

4y = - x² - 4x + 16 ( divide through by 4 )

y = - [tex]\frac{1}{4}[/tex] x² - x + 4, that is

f(x) = - [tex]\frac{1}{4}[/tex] x² - x + 4 → B

Answer:

Option B

Step-by-step explanation:

Given that a parabola has a focus at (−2, 4) and a directrix of y = 6.

We have to find the equation of the parabola in std form

We know that a parabola is a conic section in which all points are equidistant from the focus and vertex.

Let (x,y) be any point on the parabola

Distance of (x,y) from the focus =[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] ...i

Distance of (x,y) from directrix = difference in y coordinate = [tex]|y[-6|[/tex]...ii

Since i = ii, square and equate both

[tex](x+2)^2+(y-4)^2=(y-6)^2\\x^2+4x+4 -8y+16 = -12y+36\\4y=-x^2-4x+16\\y = \frac{-1}{4} d^2-x+4[/tex]

Hence option B is right.

Answer:

The value of the 8 in the number 38.165.0479 is 8 ones

I am joyus to assist anytime i can :)

Answer:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. ... Consider the first example, the distributive property lets you "distribute" the 5 to both the 'x' and the '2'.

Step-by-step explanation:

Answer: 4(x-3)=20

4x-4(3)=20

4x-12=20

4x-12+12=20+12

4x=32

4x/4 = 32/4

x=8

Step-by-step explanation:

To “distribute” means to divide something or give a share or part of something.

Answer:

8,146 x 121

Step-by-step explanation:

This is a problem in which you need to measure your understading of "orders of magnitude."

If the estimated answer is [tex]800000[/tex] that means that we are looking at a multiplication in the "order of" [tex]8*10^5[/tex]

You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have [tex]8146*12[/tex] that would be "of the order of" [tex]8*10^3[/tex] times [tex]10^1[/tex]. So the whole multiplication would "of the order of" [tex]8*10^4[/tex] or near [tex]80000[/tex]

The correct answer, 8,146 x 121, is because it's "of the order of" [tex]8*10^3[/tex] times [tex]10^2[/tex] and the gives us the [tex]8*10^5[/tex] we need.

Answer:

Step-by-step explanation:

88

Answer: 8.5 (rounded)

Step-by-step explanation:

a squared + b squared = c squared

3 squared= 9

8 squared= 64

64+9=73

the square root of 73 is 8.5 (rounded)

Answer:

6

Step-by-step explanation:

the associative property is used.

Which property is used in the expression?

The Associative property of multiplication says that (a × b) × c = a × (b × c),

so we can perform the multiplication in any order we want.

If you look at the expression:

(9x3)x4=9x(3x4)

The difference is that first we start with the product 9×3, and in the right side the first product we need to solve is 3×4, so the associative property is used.

Answer:

10: 2

12: 0

14: 24

Answer:

6 kilograms

Step-by-step explanation:

He starts with 2.

He makes 1 every hour.

He works for 4 hours.

So, we can infer that he makes 4 kilograms within the 4 hours he works. Then, we see that he has already made 2 kilograms. So, you add up those two, giving you 6. Hope this helps!

The equation that could be used to solve the graph above is x² - 1 = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

The graph of a quadratic equation y = x² is a parabola that opens upwards.

By observing the graph we conclude that when x = 0, y = - 1 and when

x = ± 1, y = 0.

Now going through the options we conclude that x² - 1 = 0 is the equation that satisfies this criterion.

learn more about quadratic equations here :

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The equation that can be solved using the graph is x^2 - 2x + 1 = 0.

The equation that could be solved using the graph above is x2 - 2x + 1 = 0. This is because the graph intersects the x-axis at the point where y=0, and this represents the solutions to the equation.

If we solve the equation x2 - 2x + 1 = 0 using factoring or the quadratic formula, we would find that the solutions are x=1 and x=1. These are the same x-values where the graph intersects the x-axis on the graph provided.

The other equations, x2 + x - 2 = 0, x2 + 2x + 1 = 0, and x2 - 1 = 0, do not have solutions that match the x-values where the graph intersects the x-axis.

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Answer:30

Step-by-step explanation:

120 divided by 4

Answer:

30 pages

Step-by-step explanation:

if natalie has read 3/4 pages  of a book it means that she only remains with 1/4 pages of the book for her to complete reading the book.

therefore if the book is made of 120 pages ,what is the 1/4 of the total 120 pages.

       =  1/4  * 120pages

        = 30 PAGES

Step-by-step explanation:

It's the DISTRIBUTIVE PROPERTY:

m(a + b) = ma + mb

[tex]m\cdot(a+b)=m\cdot a+m\cdot b=ma+mb[/tex]

Other properties:

Commutative Property:

of addition: a + b = b + a

of multiplication: a · b = b · a

Associative Property:

of addition: (a + b) + c = a + (b + c)

of multiplication: (a · b) · c = a · (b · c)

Answer:`13H

Step-by-step explanation:

Answer: h=10

Step-by-step explanation:

6h-3=7h-13

-3+13=7h-6h

10=h

h=10

Answer:

Reflect the graph f(x) across the x axis to obtain the graph g(x).

its c

Step-by-step explanation:

following the accepted steps you would first reflect the graph across the y axis due to the negative sign within the function, then you would reflect the result across the x axis due to the negative sign outside of the function. 

In practice however you only need to reflect across the x axis as -(-x)^2 simplifies to -x^2

Answer:

{ x | x ≥ 0 }

Step-by-step explanation:

Given,

There is a straight line started from (0, 9) and passes through (8, 1),

∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,

Thus, the line is defined for all real values of x greater than 0,

Hence, Domain of the line = All real numbers greater than equal to 0,

i.e. { x | x ≥ 0 }

Thus, FIRST OPTION is correct.

Answer:

Its A

Step-by-step explanation:

Answer: 751.62

Step-by-step explanation: 3 is lower than 5 so you have to round it to zero

751.623 rounded to the nearest hundredth is 751.62

To round the number 751.623 to the nearest hundredth, follow these steps:

Therefore, 751.623 rounded to the nearest hundredth is 751.62

Answer:

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

 -y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 x • (x - 2y) -  (y - x)2

Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

 -y2

Answer: I think the answer is -x + y.

Step-by-step explanation:I think this is the answer because you first start off by distributing all the variables inside the parenthesis by the negative sign which would give you -x+2y-y. After that, you would have to subtract 2y-y because they share the same variable and you must have a SIMPLIFIED ANSWER. So with that said, your overall answer should be -x+y. Hope I'm right in giving you the correct answer!!!!

300+20+5+0.8+0.07+0.006

Happy to help! Please mark me as the brainliest!

It's 5.3*10^7. In Scientific Notation, you will be moving the decimal place until you have a number between 1 and 10. Then you add a the power of ten to show how many places you moved. For example, in Scientific Notation 52,314 with be moved left to get 5.2314*10^4. The decimal can be moved in either or direction depending on the problem. Hope this helps, have a nice day!

Answer: this is for the whole gizmo

1. C

2. B

3. D

4. A

5. D

Step-by-step explanation:I hope this can help everybody.