If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?

Answers

Answer 1
Answer: side length = 12

Explanation

let x be the original area

Thus x - 59 = 85

=> x = 85 + 59
x = 144

Since we know the original shape is a square and Area of a square = side x side.

Find side length:

A = a^2

But A = 144

144 = a^2
12 = a

So the side of the square b4 it was cut is 12 cm

Related Questions

A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?

Answers

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600



In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.

Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?

Type your answer

Answers

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

SOLVE
[tex](2 x - 4) {?}^{2} [/tex]

Answers

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.

Answers

Answer:

no it is not correct

Step-by-step explanation:

it's kind of hard to explain in words so I'm sorry about that

hope it helps

plzz help ASAPPPP
i need answers right now!!1

Answers

Answer:

ydyeheuuru u ieuegeoeororpe

I need help with this question

Answers

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

A storekeeper increased the price of hats by 5%.

Write an equation to calculate the increase of the total

cost, c, when the price of a hat is p dollars.

Select all that apply.

A c 1.50p

BC-,95p

cc 1.05p

Dc-1 + 05p

Ec-(1 + .05)p

Answers

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

i need help with 9th grade work

Answers

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

Answers

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

Find the mean of the first 7 odd prime number?​

Answers

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

----------------------------------------------------------------------------------------

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

need help please thanks​

Answers

Answer:

6x-y = -18

Step-by-step explanation:

m=6
This is the total

help with question 1

Answers

Answer:

si=Ptr/100

and di solution

Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula

Answers

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

What is 4n-32? Factor your expression using the greatest common factor.

Answers

Answer:

4(n-8)

Step-by-step explanation:

take out 4 from 4n-32

so it's 4(n-8) coz 32÷4=8 so yeah

Larry could ______ to make his budget work and afford the ticket.

Answers

Answer:

I need the answer choices

Step-by-step explanation:

5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5

Answers

Answer: 7.3x + 5

Step-by-step explanation:

For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.

= 5.2x+8+2.1x-3

= 5.2x + 2.1x + 8 - 3

= 7.3x + 5

Therefore, the correct answer is 7.3x + 5

A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?

Answers

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

simpliyfy (-3/7)^3 * (-3/7)^4​

Answers

Answer:

Step-by-step explanation:

(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷

Answer:

the answer to this question is (-3/7)^7

Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​

Answers

Answer:

Step-by-step explanation:

2n+15>3

Answer:

2x + 15 > 3

IS THIS RHIGT?

eXPLANATION :

Twice a num = 2(x)

sum of it and 15 = 2x + 15

is greater than 3 = >3

so : 2x + 15 > 3  

BRAINLIEST FOR ANSWER PLEASE HURRY

Answers

Answer:

11.3

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

8^2+8^2=128

the square root of 128 is 11.3137085

then you round to the nearest tenth and get 11.3

Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1

Answers

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Solve the system below.
y = x2
y = –2x + 15

Answers

Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

Calculate the rate of interest if principle is 6000 time is two years and interest 3000

Answers

Answer:

We conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Step-by-step explanation:

Given

Principle P = 6000

Time period t = 2 years

Interest I = 3000

To determine

Interest rate r = ?

Using the formula

I = Prt

r = I / Pt

substituting P = 6000 , t = 2, and  I = 3000

r = 3000 / ( 6000 × 2 )

r =  3000 / 12000

r = 0.25

convering the decimal into percentage: 0.25×100 = 25%

r = 25%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

6.37x10^-2

Thanks to anyone who answers this.

Answers

Answer:

6.37 x 10^-2 =0.0637

The answer to your equation is, 6.37x10^-2=0.0637

Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0

Answers

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.

Answers

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

The square below has an area of x^2-10x+25 square meters

what expression represents the length of one side of the square?

Answers

Answer:

Answer: Expression that represents the length of one side of the square is x - 5.

PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS

Answers

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

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