Which of the following is the best estimate
of the square root of 90 ?
a. 9.1
b. 9.4
C. 9.7

Answers

Answer 1

To get the best estimate of the square root of 90 we will apply a short cut.

Square root of 90 will be in the form of a mixed fraction as [tex]a\frac{b}{c}[/tex] or in decimals.

Here, a = square root of a perfect square number nearest to 90.

b = Difference of 90 and the perfect square number

c = Double of 'a'

Nearest square number to 90 = 81

Square root of 81 = 9

So, a = 9

Difference in 90 and 81 = 9

So, b = 90 - 81 = 9

And double of 9 = 18

Therefore, c = 18

Hence, [tex]\sqrt{90}\approx9\frac{9}{18}[/tex]

                    [tex]\approx9.5[/tex]

So the nearest number given in the option may be 9.4

Therefore, Option B will be the answer.

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Related Questions

What is the equation written in vertex form of a parabola
with a vertex of (9, -1) that passes through (7, 7)?

Answers

Answer:

y = 2(x - 9)² - 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (9, - 1 ) , thus

y = a(x - 9)² - 1

To find a substitute (7, 7 ) into the equation

7 = a(7 - 9)² - 1 ( add 1 to both sides )

8 = 4a ( divide both sides by 4 )

2 = a , then

y = 2(x - 9)² - 1

Half of the sum of x and 2

Answers

Answer:

see explanation

Step-by-step explanation:

The sum of x and 2 is x + 2 and half this sum is

[tex]\frac{1}{2}[/tex] (x + 2)  or

[tex]\frac{x+2}{2}[/tex]

John sent 45 text messages in 9 minutes. What is the unit rate? Explain your answer.

Answers

Answer: 5 texts per minute

Step-by-step explanation: 45 / 9 = 5

True or False: subtracting a negative integer is the same as adding a positive integer

Answers

Answer:

False

Step-by-step explanation:

For example, if I have -12- (-10) it equals-2, but if you have -12 + 13= 1

Answer:

False

Step-by-step explanation:

I Think

Who is in more debt a person with a balance of $-30 or a person with $-40? why

Answers

Answer:

A person with $-40 is in more debt

Step-by-step explanation:

The person with $-40 has borrowed or spent money from their credit card more than the person who is in debt for $-30.

Answer:$-40

Step-by-step explanation:

A person with negative 40 dollars has 40 dollars missing, a person with -30 dollars only has 30 dollars missing. So the person with -$40 is missing more money and therefore, is in more debt.

Add.
7/11
+
9/12
All you have to do is add. Somehow I got it wrong

Answers

Answer:

1  51/132

Step-by-step explanation:

7/11+ 9/12 =

84/132 + 99/132 = 183/132 = 1  51/132

make the denominator of the fraction the same by using LCM.

See my other articles for quiz and assignment in my site.

Just copy and paste "learningandassignments diy4pro" to google search engine.

Hope it helps.

Which equation represents a line through (-2, 1) that is perpendicular
to y = -5x + 2?

Answers

Step-by-step explanation:

1=-5(-2)+2

1-2=10

-1=10

10+1

11

Your answer would be 11

Is (p3)4 • p8 = p20 true or false ?

Answers

P3(4) = p12 them p12 * p8 = P160 (false)

Given: angle 1 and angle 2 form a linear pair,


Proven: angle 2 and angle 3 are supplementary

Answers

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

We will write the proof in like a table

1. ∠1 and ∠2 formed a linear pair    1. Given

2. m∠1 + m∠2 = 180°   2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles    3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3    4. Given

5. m∠2 + m∠3 = 180°    5. Substitution method

6. ∠3 is a supplement of ∠2    6. Supplement of equal angles

7. ∠2 and ∠3 are supplementary    7. Proved

"The solution to the system is (#,#)." I'm really tired and for my life don't know the solution. Help please!

Answers

Answer: (4,-5)

Step-by-step explanation:

8y = -40

(divide by 8)

y = -5

(plug it in to one of the equations)

3x + 6*-5 = -18

3x + -30 = -18

3x = 12

x = 4

Please help me! I will mark brainliest.

Answers

Answer:

Its -5

Step-by-step explanation:

-100 divided by 10= -10 divided by -5= 2

Helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

5/12 qt

Step-by-step explanation:

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

Steve-Peter = ?

9/12 - 4/12 = 5/12 qt

Answer:

5/12 more

Step-by-step explanation:

Make the fractions have the same denominator by multiplying EX:1/3 x 4 =4/12    And 3/4 x 3 = 9/12 then subtract the numerators and leave the denominators to get 5/12

Plzzzzzzzzzz helpppppp meee

Answers

it's 7 it's 7 it's 7 it's 7 it's 7 it's 7it's 7 it's 7 it's 7it's 7 it's 7 it's 7

The ratio of three numbers is 1.4.2 The sum of the numbers is 35. What are the three numbers?​

Answers

Answer:

5.20.10

Step-by-step explanation:

Solar-powered cars use energy from the Sun to work. A panel on the car absorbs light energy from the Sun, which then generates an electric current. This electric current, in turn, allows the car to move. Which shows the correct order of energy transformations that take place in a solar-powered car? electrical, chemical, kinetic electrical, kinetic, radiant radiant, chemical, electrical radiant, electrical, mechanical

Answers

Answer:

It is D

Step-by-step explanation:

The correct order of energy transformations that are seen in the electrical cars are:

radiant, electrical, mechanical

What is energy transformation?

This is what is also known as energy conversion. It is the way that energy is converted from one form to another form.

In the case of electrical cars. energy is transformed from radiant energy to electrical energy and then to mechanical energy.

Read more on energy transformation here: https://brainly.com/question/961052

I BET NO ONE KNOWS THIS QUESTION. In the prison experiment conducted by Philip Zimbardo, what did he discover about human behavior?
A. People generally obey and listen to authority figures.
B. A good family life has little influence on future behaviors.
C. Where people choose to go to school determines how they will act and behave.
D. The roles played in everyday life shape behavior and attitudes.

Answers

Answer:

D. The roles played in everyday life shape behavior and attitudes. This was also called the Stanford Expirement where Philip Zimbardo was trying to figure out what people acted like in harsh environments.

Step-by-step explanation:

kara needs to get a 75% on her drivers education test in order to get her license. If there are 35 questions, how many does she need to get right?

Answers

Answer:

26.25 questions

Step-by-step explanation:

75% of 35 is 26.25

the answer is 26.25 questions!

A rectangular prism has dimensions of 2 cm by 2cm by 5 cm. What is its surface area?

Answers

Answer: 48

Step-by-step explanation: surface area = 2 (lw + hl + hw)

2 ( 2 x2 + 5x2 + 5x2)

2 (4+10+10)

2(24)

48 cm

The surface area of the rectangular prism with dimensions [tex]2[/tex] cm by [tex]2[/tex]cm by [tex]5[/tex] cm is [tex]48 cm^2.[/tex]

The surface area of a rectangular prism is [tex]2(lw+wh+lh)[/tex], where [tex]l[/tex] is length, [tex]w[/tex] is width, and [tex]h[/tex] is height.

A rectangular prism has dimensions of [tex]2[/tex] cm by [tex]2[/tex] cm by [tex]5[/tex] cm.

Let [tex]l=2[/tex] cm, [tex]w=2[/tex] cm and [tex]h=5[/tex] cm.

So, surface area [tex]= 2(lw+wh+lh)[/tex]

[tex]= 2 (2 \times 2 + 2 \times 5 + 2 \times 5)[/tex]

[tex]= 2 (4 + 10 + 10)[/tex]

[tex]= 2 (24)[/tex]

[tex]= 48 cm^2.[/tex]

So, the surface area of the rectangular prism is [tex]48 cm^2[/tex].

Learn more about surface area of a rectangular prism here;

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I need this math answer now and explain it to me please

Answers

Answer:

C

Step-by-step explanation:

i dont have an explanation its just C

Answer:

the answer is 35.

Step-by-step explanation:

So first you look for 75 on the x-axis because this represents the number of people in attendance. 75 would be the line between 50 and 100. Then you need to follow the 75 line up until you see the point that the graphed line intersects the "75 line". When you drag you finger from that point over to the y-axis, you see the number of recyclables is about 35.

at a farm the ratio to cows to horses is 7:4 if there were 35 cows

Answers

If there were 35 cows and the ratio for cows to horses is 7:4, then there would be 20 horses because 35 divided by 5 is 7 and 20 divided by 5 is 4.

How do you write 0.1 as a fraction? Please help

Answers

Answer:

1 over 9

Step-by-step explanation:

Answer:

The correct answer is A.) 1/9

Step-by-step explanation:

Solve for x.

5(x−3)= 3(x−2)

Answers

Answer:

x = 9/2   or   x= 4.5

Step-by-step explanation:

you factor out the equation:

5x-15=3x-6

+15          +15

5x=3x+9

-3x     -3x

2x=9

x=9/2  or 4.5

7(13 - 2x) - 9(x + 10)

Answers

Answer:

-23x+1

Step-by-step explanation:

91-14x - (9x+90)

91-14x-9x-90

-23x+1

Answer:

1-23x

Step-by-step explanation:

7(13-2x)-9(x+10)

7(13)+7(-2x)-9(x)-9(10)

91-14x-9x-90

Combine like terms

91-90 = 1

-14x-9x = -23x

1-23x

-3x+7=-17 is it true

Answers

Answer:

Yes

Step-by-step explanation:

-3x+7=-17

      -7    -7

     -3x=-24

     _______

       x=8


In the function g(x) = 5x – 9, what is the value of g (3)?

Answers

g(3) = 5(3) - 9

= 15 - 9 = 6

Answer : g(3) = 6

In the function [tex]g(x) =5x-9[/tex], the value of g(3) is equal to 6.

Given the following function:

[tex]g(x) =5x-9[/tex]

To determine the value of g(3):

In this exercise, you're required to find the value of the given function when g of x is equal to 3.

Therefore, we would substitute the value of x into the given function.

Substituting the value of x into the function, we have:

[tex]g(x) =5x-9\\\\g(3) =5(3)-9\\\\g(3) =15-9\\\\g(3) =6[/tex]

g(3) = 6

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I will give brainliest
Help me

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex] \frac{mass \: of \: earth}{mass \: of \: human} = \frac{5.97 \times {10}^{24} }{6.35 \times {10}^{1} } \\ \\ = 0.94015748 \times {10}^{24 - 1} \\ \\ = 0.94015748 \times {10}^{23} \\ \\ = 9.4\times {10}^{22} \\ \\ \therefore \: mass \: of \: earth \\ =( 9.4\times {10}^{22} ) \times mass \: of \: human[/tex]

How much fibre does the NHS recommend adults take in as a daily dose?


is it .....a) 40g......b) 10g......c) 20g...or d) 30g?

Answers

Answer:

The answer is D: 30 g.

Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.

Madison Finance has a total of $22 million earmarked for homeowner loans and auto loans, where x is homeowner loans in millions of dollars and y is auto loans in millions of dollars. On the average, homeowner loans have a 8% annual rate of return, whereas auto loans yield a 13% annual rate of return. Management has also stipulated that the total amount of homeowner loans should be greater than or equal to 4 times the total amount of automobile loans. Determine the total amount of loans of each type Madison should extend to each category to maximize its returns P in millions of dollars.Maxmize P=total loansdistributtion of loans

Answers

Answer:

Maximum returns = $1,980,000

x = Homeowner loans = $17,600,000

y = Auto loans = $4,400,000

Madison should extend $17,600,000 in home owners loans and $4,400,000 in auto loans in order to have a maximum return of $1,980,000

Step-by-step explanation:

From the question we are told that:

Madison Finance has a total of $22 million earmarked for homeowner loans and auto loans, where x is homeowner loans in millions of dollars and y is auto loans in millions of dollars.

On the average, homeowner loans have a 8% annual rate of return, whereas auto loans yield a 13% annual rate of return.

We have the equation:

Maximum Return = 8% × x + 13% × y

= 0.08x + 0.13y

We are told in the question that

Management has also stipulated that the total amount of homeowner loans should be greater than or equal to 4 times the total amount of automobile loans.

Hence,

x ≥ 4y

So:

x + y = $22,000,000

4y + y = $22,000,000

5y = $22,000,000

y = $22,000,000/5

y = 4,400,000

x = 4y

x = 4(4,400,000)

x = 17,600,000

Maximum Return = 0.08x + 0.13y

= 0.08 × 17,600,000 + 0.13 × 4,400,000

= $1,980,000

Therefore, Madison should extend $17,600,000 in home owners loans and $4,400,000 in auto loans in order to have a maximum return of $1,980,000

Which value(s) of x makes the following equation true? 2x + 3= 2(x + 5) - 7​

Answers

Answer:

All Real Numbers, Infinitely Many solutions

Step-by-step explanation:

[tex]2x+3=2(x+5)-7\\2x+3=(2x+10)-7\\2x+3=2x+3[/tex]

(7 x 18 + 45) divide 3 x 2

Answers

Answer:

28.5

Step-by-step explanation:

7 x 18 =126

126 +45=171

171/6=28.5

i hope this helps!

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