The sides of a square are all increased by 2 in. The area of the new square is 49 in.^2 . What is the length of a side of the original square?
2 in.
4.5 in.
5 in.
9 in.

Answers

Answer 1

Answer:

5

Step-by-step explanation:

square root is 49 is 7

so

1 side is 7

so

original side is 7 - 2

which is

5

Answer 2

Answer:

The original side length was 5 in.

Step-by-step explanation:

Area of new square is (side length)^2.  Here,

that area is (x + 2)^2 = 49 in^2, and we must find x.

Taking the square root of both sides, we get:

x + 2 = +√49 = +7

Subtracting 2 from both sides yields x = -2 + 7 or x = 5

Check:  does (5 + 2)^2 = 49?  YES


Related Questions

A rectangular red sticker has a perimeter of 26 millimeters and an area of 30 square millimeters. What are the dimensions of the sticker? (blank) millimeters by (blank) millimeters

Answers

Answer:

3 millimeters by 10 millimeters

Step-by-step explanation:

PLEASE HURRY! i’ll give brainliest

Answers

The answer is boxplot

I’m pretty sure it is a histogram because they give you a more organized chart.

Mark is a marketing representative for a publishing company. He is gathering data about a new book released. Which of the following is a statistical question that Mark can ask to get data on the book? A. How many pages are there in the book? B. What is the cost of the book? C. How many copies of the book have been sold at each store this month? D. When was the book published?

Answers

Answer:

C.

Step-by-step explanation:

The answer is C. The other questions you have stated are questions that have one definite answer or, one that requires one variable in the situation. With many stores distributing the books, it's a matter of finding the percentage of how many of been sold at each store. From this it reveals, it's a statistical question.

(4x2 - X - 5) + (6x2 + x)

Answers

Answer:

10x2 - 5 (the 2 has to be small too.)

I will give brainiest

Answers

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

Whats 100,000,000 Divided by 100,000?

Im curious and i dont have the time to solve

Answers

Answer:

1000

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

your welcomeeeeeee

Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.

What is the probability that he catches 2 red balls and 1 ball of each of the other colors?

Answers

Answer:

81/792 or 9/88 or 10.2%

Step-by-step explanation:

Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3

3 * 3 * 3 * 3 = 81

81/792 simplified is 9/88 percentage is 10.22%

The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total numbers of balls are 12.

Each color has 3 balls.

If total 12 balls are tossed, the number of ways of catching 5 of them is,

¹²C₅ = 792

The number of ways of catching 2 red balls out of 3 is ³C₂ = 3

The number of ways of catching 1 green ball out of 3 is ³C₁ = 3

The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3

The number of ways of catching 1 white ball out of 3 is ³C₁ = 3

Thus, the probability as per the question is given as follows,

(3 × 3 × 3 × 3)/792

= 81/792

= 0.1025

Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.

To know more about probability click on,

https://brainly.com/question/11234923

#SPJ2

Triangle PQR is similar to triangle DEF as shown.*

A.
B.
D.
C.

Answers

B is the correct answer

What which is equivalent to√x10?

Answers

Answer:

E)  x^5

Step-by-step explanation:

example, [tex]\sqrt{3}[/tex] = 3^1/2 where '1' is the coefficient of 3

[tex]\sqrt{3}[/tex] is the same as [tex]\sqrt[2]{3}[/tex] (it's assumed to be 2 unless another number is there)

so, √x^10 is the same as x^(10/2) which is x^5

[tex]\sqrt{60[/tex] is between what two whole numbers?

Answers

Answer:

7 & 8

Step-by-step explanation:

[tex]\sqrt{60}[/tex] = 7.7459666924148337703585307995648

Therefore, it lies between the whole numbers 7 & 8.

Hope this helps :)

Which trigonometric ratio is correct?
1 point
125 cm
105 cm
d
Sin(d) = 105/125
Cos(d) = 105/125
Tan(d) = 105/125
Option 4

Answers

Tan(d)=105/125 is trigonometric ratio corect

I need with the volume!!!

Answers

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

1/5 - 2x ≥ -4
Solve for X.

Answers

Answer:

x≤21/10

Step-by-step explanation:

[tex] \frac{1}{5} - 2x \geqslant - 4 \\ - 2x \geqslant - 4 - \frac{1}{5 } \\ 2x \leqslant 4 + \frac{1}{5} \\ 2x \leqslant \frac{21}{5} \\ x \leqslant \frac{21}{10} [/tex]

Find the measure of angle 1
HELP

Answers

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:

10°
15°
20°
please help

Answers

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

I will give brainiest

Answers

Answer:

2

Step-by-step explanation:

74 inches

Step by step explanation:

A group of 20 people are going to run a race. The top three runners earn gold, silver, and bronze medals. How many outcomes are possible for these awards?

Answers

Answer:

There are 6,840 possible outcomes for these awards.

Step-by-step explanation:

Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:

20 x 19 x 18 = X

380 x 18 = X

6.840 = X

Therefore, there are 6,840 possible outcomes for these awards.

Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.

Total number of people=20

what is the difference between permutation and combination?

permutation means the arrangement of items while the combination is all about the selection of some out of many.

let us say start with the gold medal

no of ways a gold medal can be given = ²⁰C₁ = 20

Now, the number of people left is 19

no of ways a silver medal can be given = ¹⁹C₁ = 19

Now, the number of people left is 18

no of ways a bronze medal can be given = ¹⁸C₁ = 18

possibility of total outcomes=20*19*18 = 6840ways

Therefore, total outcomes that are possible for these awards=6840

to get more about permutations and combinations refer to the link,

https://brainly.com/question/4658834

A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?

Answers

Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

it takes luis 4.5 minutes to read 3 pages. how long will it take him to read 32 pages?

Answers

Answer:

48 minutes

Step-by-step explanation:

4.5/3 = 1.5

1.5 x 32 = 48

Find the equation of the following two coordinates: (0,4) and (5,6)

Answers

Answer:

its 21

Step-by-step explanation:

0,4 + 5,6 = 21

the triangle below is reflected accross the y-axis. what is the result of this reflection

Answers

Answer:

A

Step-by-step explanation

Which triangle makes this statement true?

Answers

Answer:

A.

Step-by-step explanation:

i pretty sure

simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls

Answers

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

write the equation of the circle in standard form: Center (7,0) R=1

Answers

Answer:

[tex](x-7)^2+y^2=1[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]

2) Plug in the radius (1)

[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]

I hope this helps!

Is 8 a solution to 48 < 4x?
plz need answers quickly

Answers

Answer:

No

Step-by-step explanation:

We need to tell that whether 8 satisfies the given inequality. The inequality is ,

[tex]:\implies[/tex] 48 < 4x

now substitute x 12 is equal to 8 and check whether if it satisfies the given inequality.

Putting x = 8

[tex]:\implies[/tex] 48 < 4x

[tex]:\implies[/tex] 48 < 4 * 8

[tex]:\implies[/tex] 48 < 32

this is not possible as 48 is greater than 32. x is equal to 8 is not a solution of the given inequality .

No it is not a solution .

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{48 < 4x}[/tex]

[tex]\large\textsf{TURN the given EQUATION}[/tex]

[tex]\mathsf{4x > 48}[/tex]

[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]

[tex]\mathsf{x >\dfrac{48}{4}}[/tex]

[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]

[tex]\boxed{\mathsf{x > 12}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Zach Goes on holiday
the ratio of the costs flights : hotels 3:8

the costs of the flights is 861
work out the total cost of the hotels.

Answers

Answer:

total cost of the hotels is 2,296

What is an equation of the line that passes through the point (6,-2)) and is parallel to the line 5x+3y=6

Answers

Answer:

[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.​

Answers

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]:                                   [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule:                                                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]

Step 3: Solve

Find coordinates

x-coordinate

Substitute in y' [Derivative]:                                                                             [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides:            [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides:                                                           [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides:                                    [tex]\displaystyle x = 4[/tex]

y-coordinate

Substitute in x [Function]:                                                                                [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle y = 1[/tex]

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

HELP ME IM STUCK PLEASE QUICK

Answers

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

what does 5 out of 7 equal to??

Answers

Answer:

5 out of seven is  71%

THank Go oGle

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