4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.

Answers

Answer 1

Answer:

116 centimeter squared

Step-by-step explanation:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563


Related Questions

What is the perimeter of the parallelogram?

Answers

Step-by-step explanation:

b×h1÷2 use this formulae

36
Using Pythagorean theory
a^2 + b^2 = c^2
64 + 36 = c^2
100 = c^2
Take square root of both sides
C=10
Now add all four sides for perimeter
10 + 10 + 8 + 8 =36
See picture for the math

In the previous task you saw that the number of
moves to solve the Tower of Hanoi with n disks
given by the equation an -2-1.
What is the fewest number of moves required for
7 disks?
13
64
J
127
128
COMPLETE


ANSWER:127

Answers

Using the given equation, it is found that the fewest number of moves required for 7 disks is of 127.

What is the fewest number of moves needed with n disks?

It is given by the following equation:

[tex]a_n = 2^n - 1[/tex]

In this problem, we have 7 disks, hence the fewest number of moves needed is given by:

[tex]a_7 = 2^7 - 1 = 127[/tex]

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Answer:

127

Step-by-step explanation:

Jim works as a manager at a local supermarket in dallas. jim worked 36 hours and his paycheck for this week was $1,620.51. how much does jim make per hour? round your answer to the nearest cent.

Answers

324

Step-by-step explanation:

roughly about that much

If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240

Answers

Answer:

The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240

How many 90° turns will the minute hand make between 9:00 and 10:00?​

Answers

Answer:

It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.

What are the ratio of the perimeters and the ratio of the areas?

Answers

Check the picture below.

the ratio of the sides will be the same ratio of their perimeters

[tex]\stackrel{\textit{\LARGE ratio of their}}{\stackrel{perimeters}{\cfrac{6}{15}\implies \cfrac{2}{5}}\hspace{5em}\stackrel{areas}{\cfrac{2^2}{5^2}\implies \cfrac{4}{25}}}[/tex]

Students must purchase a ticket to attend the show. the committee wants to
have $500 remaining from ticket sales, after paying for equipment, lighting,
and costumes.

the tickets will cost $5.60 for each ticket, and the committee expects to sell
as many tickets as there are seats available.

what is the greatest amount of money, in dollars, the committee can spend
on equipment and costumes?

Answers

Answer:

The total number of seats is also needed to answer the question.

Step-by-step explanation:

For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.

9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

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please do all of number 2 please help (find the angle measurements that are not given

Answers

The measures of the missing angles are as follows:

a. 145°

b. 43°

c. 36°, 36° and 144°

How to find angles when lines intersect?

When two lines intersect, angle relationship can be formed. The angles can be adjacent angles, vertical angles and many more.

Therefore,

a. 180 - 35 = 145 degrees( angle on a straight line)

b. 180- 47 - 90 = 43 degrees(angles on a straight line)

c. 144 degrees (vertical angles), 36 degrees and 36 degrees(angles on a point is 36 degrees)

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I'll give brainiest to the first person to respond BUT only if the answer is correct

Answers

Answer:

115 and 1/2

Step-by-step explanation:

B•W•H

Hope this helps! ;-)

Thanks for correcting my mistake!!!

Answer:  The answer is 115 1/2

Explanation: Just multiply all the dimensions

label the quadrants IV​

Answers

Answer:

Quadrant IV is always in the bottom right corner.

discuss why area: perimeter for a square ÷ 4.​

Answers

Step-by-step explanation:

because its formula is 4L


Mason has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$15 $35 $21 $29 $30 $19

Answers

Answer:

21, 29, 30, 35

Step-by-step explanation:

anything greater than 20 would break even and then give a position balance

You would choose all of the answers that are over $20 since Mason has a negative balance you would need to cancel that out. If he earned $20 he would have balance if 0, so he needs to earn more to get a positive balance.

What does this graph show
inverse
direct
neither​

Answers

Answer:

i think the given graph is inverse

I was confused on how to write the quadratic in standard form

Answers

Answer:

3x² + 4x + 8 = 0

Step-by-step explanation:

Standard form of quadratic equation is

ax²+bx+c=0

standard form of quadratic equation 3x²+4x+7=-1 is

3x² + 4x + 7 = -1

3x² + 4x + 7 + 1 = 0

3x² + 4x + 8 = 0

Please help me
Which equation has the same solutions as x²+6x-7=0 ?
A) (x+3)²=2
B) (x-3)²=2
C) (x-3)²=16
D) (x+3)²=16

Answers

Answer:

[tex]D)~(x+3)^2 = 16[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 +6x -7 = 0\\\\\implies x^2+6x = 7\\\\\implies x^2 +2 \cdot 3 \cdot x +3^2 -3^2 = 7\\\\\implies x^2 +2 \cdot 3 \cdot x+3^2 = 7+3^2\\\\\implies (x+3)^2 = 7+9\\\\\implies (x+3)^2 = 16[/tex]

The diameter of a circle is 34 inches. What is the circle's circumference?

Answers

Answer:

Hello!!!

34pi or 106.81

Please read the explanation... it always helps... i promise...

Step-by-step explanation:

Alrighty the circle circumference states that... c = 2r pi

we need to find the radius which is always half of the diameter.... so 34/2=17

the radius is 17... now all we have to do is substitute 17 into the circumference formula...

(2)17 pi = 34pi OR 106.81

or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...

i hope this helps!!!!!!!

The circumference of the circle is approximately 106.96 inches.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The circumference C of a circle with diameter d is given by the formula:

C = πd

Substituting the given value of diameter, we get:

C = π(34) = 34π

Using an approximation of π as 3.14, we can calculate the approximate circumference as:

C = 34 × 3.14 = 106.96 inches

Therefore,

The circumference of the circle is approximately 106.96 inches.

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A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.

2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm

&

A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.

77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds

Answers

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

What is work done?

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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This is geometry but I forgot how to do the equations

Answers

Answer:

Step-by-step explanation:

Those are the special triangles 45-45-90 and 30-60-90

6. y = 5 and x = 5sqrt(2)

7. y= 8 and x = 8sqrt(3)

8. x = 10sqrt(2)

Is 3/10 equivalent to 12/20 or 5/20?

Answers

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

A certain species of bird is in danger of becoming extinct. There were 1500 birds in 2000 and they are
decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010?
b) How many birds would there have been in 1990?

Answers

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

What is rate of increase?

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

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Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С

Answers

Answer:  C) add 12 to both sides

Reason:

We add 12 to the left side to undo the -12, which will get y by itself.

We must do the same thing to both sides to keep things balanced.

What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}

Answers

Answer: (1, -3) => x = 1, y = -3

Step-by-Step Explanation:

Lets solve using Elimination Method :-

2y = 4x - 10
-4x = -10 - 2y
=> -4x + 2y = -10 (Eq. 1)

-y = 4x - 1
-4x = -1 + y
=> -4x - y = -1 (Eq. 2)

Subtracting Eq. 2 from Eq. 1 :-

=> 0 + 3y = -9
3y = -9
=> y = -9/3 = -3

Therefore, y = -3

Substitute value of ‘y’ in Eq. 2 :-

-4x - y = -1
-4x -(-3) = -1
-4x + 3 = -1
-4x = -1 - 3
-4x = -4
4x = 4
=> x = 4/4 = 1

Therefore, x = 1

Hence the ordered pair (1,-3) is the Solution to this System of Equations.

Help me I can’t seem to figure this one out

Answers

Answer:

See below

Step-by-step explanation:

Expand it a bit to see:

= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]

=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]

Yo anyone from United States I gotta question

Answers

what's your question question question

Convert the improper fraction to a mixed number 17/3​

Answers

Answer:

5 and 2/3

Step-by-step explanation:

17/3 = 17 - 3 = 14

1

14 - 3 = 11

2

11 - 3 = 8

3

8 - 3 = 5

4

5 - 3 = 2

5

So it’s 5 2/3

What happens to warm air when it cools?

A) It sinks back down to Earth.
B) It is absorbed into clouds.
C) It remains in Earth’s upper atmosphere.
D) It breaks apart and disappears.

Answers

Answer:

b

Step-by-step explanation:

hj

Answer:Its B,dude

Step-by-step explanation:

Given the system below:
f(x) = 2x
g(x) = 2x
Which value(s) of x make f(x) = g(x) a true statement? If necessary, you may choose more than one
answer.
1
4
3
2
9
0

Answers

All real numbers

1. f(x) = 2x

2. g(x) = 2x

Substitute g(x) to the 2x in the first statement.

You'll get: f(x) = g(x)

Therefore, x ∈ all real numbers (any value of x would make it a true statement)

What two operations would you use to solve the equation 5x - 8=-18

-multiplication
-division
-addition
-subtraction

Answers

Answer:

subtraction

Step-by-step explanation:

5x-8+8=-18+8

5x=-10

5x/5=-10/5

x=-2

Answer:

addition and division

Step-by-step explanation:

5x - 8 = - 18 ( add 8 to both sides )

5x = - 10 ( divide both sides by 5 )

x = [tex]\frac{-10}{5}[/tex] = - 2

Find the minimum value of
\[\frac{x^2 + 9}{x}\]for $x > 0.$

I tried this but I didn't get it, could someone explain?

Answers

I hope this will help you a lot

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