the diagonal of a square has a length of 10. what is the area of the square?

Answers

Answer 1

Answer:

50

Step-by-step explanation:

Diagonal of square = 10

Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees

45-45-90 triangle

x   : x   : x√2

1   : 1      : 10

10=x√2

10/√2=x, rationalize denominator and you get 5√2 as the square's side length

Area is s^2, s being the length of a side

(5√2)^2=25*2=50

Answer 2
50 I hope this helps you out if not sorry

Related Questions

The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.

1. Find the temperature in Celsius if it is 50°F.

2. Find the temperature in Celsius if it is -10°F.

Answers

Answer:

1.) 10

2.) 14

Step-by-step explanation:

1. 50-32= 18•5/9= 10*C

2. -10-32= -42•5/9= -23.33*C

Please answer my question and explain it.

Answers

Answer:  Choice D

================================

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

Neelam’s team had a mean score of 150 in the 4 games his team played this season. Alanoud’s team had a mean score of 80 in the 6 games her team played. What is the mean score for all 10 games played?

Answers

Answer:

115

Step-by-step explanation:

The mean score for all 10 games played is 108 if Neelam’s team had a mean score of 150 in the 4 games his team played this season.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Neelam’s team had a mean score of 150 in the 4 games his team played this season.

Total score(Neelam's team) = 150×4 = 600

Total score(Alanoud’s team) = 80×6 = 480

Total scores = 600 + 480 = 1080

Mean score for all 10 games:

= 1080/10

= 108

Thus, the mean score for all 10 games played is 108 if Neelam’s team had a mean score of 150 in the 4 games his team played this season.

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Can someone please help me with this question I need to find the unit rate.

Answers

First we have to take any point, I'll take (5,3).

X-axis represents number of pounds and y-axis represents total cost (in $).

So, 5 pounds = $3

=> 1 pound = $3/5

=> 1 pound = $0.6

=> 1 pound = 60 cents

Answer:

60c per pound.

Step-by-step explanation:

If 5lbs cost 3 dollars, 1lb = 3/5

3/5 = 0.6$

60c

PLEASE HELP
Write an equivalent expression for -5x+3×2.5x

Answers

Answer:

2.5x

Step-by-step explanation:

-5x+3*2.5x

Multiply

-5x+7.5x

Combine like terms

x(-5+7.5)

2.5x

Which expression is equivalent to 16.8−18.6


A.18.6-16.8

B.16.8-(-18.6)

C.-18.6+(-16.8)

D.16.8+(-18.6)

Answers

the answer would be d

Answer:

D is your answer16.8+(-18.6)

OAmalOHopeO

Olivia pays $189 for a painting, including tax.

If the actual price is $179.50, what is the sales tax rate?

Answers

0.05 or 5%

1. you would take 189 and subtract 179.50

2. from that you would get 9.50

3. you would then divide 9.50 by 179.50

4. therefore the tax rate would be 0.05 or 5%

The sales tax rate = 5.29%

What is the formula for tax rate?

"Tax rate = (Tax amount / Price before tax) × 100% "

What is the formula for tax amount?

"Tax amount = Final price - Price before tax"

For given question,

Olivia pays $189 for a painting, including tax.

⇒ Final price = $189

The actual price of the painting is $179.50

⇒ Price before tax = $179.50

Using the formula of tax amount,

Tax amount = Final price - Price before tax

Tax amount = 189 - 179.50

Tax amount = 9.5

Now we find the sales tax rate.

Using the formula of tax rate,

Tax rate = (Tax amount ÷ Price before tax) × 100%

Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]

Tax rate = 5.29%

Therefore, the sales tax rate = 5.29%

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Please help me! I will give brainly


Question 1
An ear of corn has about $16$ rows of kernels. Each row has about $50$ kernels of corn.

a. About 0.2 of the kernels are white and the rest are yellow. How many kernels are yellow?

____ kernels

Question 2
b. Each ear of corn has about $0.25$ pound of corn kernels. How many pounds of kernels are in a dozen ears of corn?

_____pounds

Answers

Answer:

a. 640 kernels

b. 3 pounds

Step-by-step explanation:

a:

Total kernels = 16 * 50 = 800

White kernels = 800 * 0.2 = 160

Yellow kernels = 800 * 0.8 = 640

b:

1 ear weight = 0.25 pounds

12 ears weight = 12 * 0.25 = 3 pounds

a. The number of kernels which are yellow is 640.

b. The amount of kernels will be 3 pounds.

An expression is a combination of symbols, variables, numbers, and operators that represents a value or a computation. It can consist of constants, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more.

Expressions can be simple or complex, involving multiple terms and operations. They are commonly used in mathematics, computer programming, and symbolic logic to represent calculations, equations, and relationships between quantities.

a:

Total kernels = 16 x 50 = 800

White kernels = 800 x 0.2 = 160

Yellow kernels = 800 x 0.8 = 640

b:

1 ear weight = 0.25 pounds

12 ears weight = 12 x 0.25 = 3 pounds

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Can Some1 Tell Me the answer?

Answers

Answer: D

Step-by-step explanation:

Answer: D(2.8a-12a-3.6

hope that helped <3

please help me answer this question quickly

Answers

Answer:

A and D is true.

(see how to solve in pic)

A and D i can explain if needed

MacKenzie surveys 80 of her classmates and finds that 65% of them like sports. She also finds that 75% of her 64 relatives like sports. How many more of her classmates like sports as compared to her relatives? Pls help

Answers

Answer:

65%×80=52

(80-52=28) no of classmates who liked sports

75%×64=48

(64-48=16) no of relatives who liked sports

no of classmates who liked sports - no of relatives who liked sports

= 28-16 = 12

Hence, 12 more of her classmates like sports as compared to her relatives

There are total 4 more of her classmates like sports as compared to her relatives.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the information given in the question,

Total number of students surveyed = 80

Percentage of students who like sports = 75%

So,

(80 × 65)/100

= 5200/100 = 52

Total number of Relatives = 64

Percentage of relatives who like sports = 75%

So,

(64 × 75)/100

= 4800/100 = 48

Then, the number more of her classmates like sports compared to relatives will be:

52 - 48

= 4

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Quadrilateral

A

R

M

Y

ARMYA, R, M, Y is rotated

9

0



90



90, degrees about the origin.

Answers

Answer:

See explanation

Step-by-step explanation:

From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.

The question is incomplete; so, I will give a general explanation.

The rule for 90 degrees rotation about the origin is:

[tex](x,y) \to (-y,x)[/tex]

For instance:

A point (4,6) will become (-6,4) after rotation.

(x,y)>>>>>>>>(-y,-x) is correct

I’ll mark brainliest
Which problem solving strategy would be best to solve this problem? Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn? A. write an equation B. make a table, chart or list C. compute or simplify D. guess, check and revise

Answers

Answer:

a...............

Step-by-step explanation:

125.00 ÷ 2

$125.00 divided by 2 equals $62.50

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.

Answers

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

n is the number of termsa is the first number of the series an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

Which coordinate grid shows Point A at (0.25, −1.75)?

Answers

Step-by-step explanation:

If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this

0.25 along with x-axes

Name the property shown by each statement:
(commutative, associative, identity, or multiplicative property of zero)

1. 7 + 10 = 10 + 7
2. 4 • 1 = 4
3. 10 + 8y = 8y + 10

Answers

Answer:

1. commutative

2. identity

3.multiplicative

hope it helps^-^

Answer:

1. commutative

2. identity

3.multiplicative

Step-by-step explanation:

Express the extended fraction at the right as a simple fraction in lowest terms.

Answers

Answer: 5/2

Yes it has to be 5/2

Answer:

5/2

Step-by-step explanation:

Johnny rode his bicycle down a hill. It took him 15 seconds to ride from the top of the hill to the bottom of the hill. The equation h = -3t + 45 models his height, h, in feet, above the bottom of the hill as a function of the time, t, in seconds, after he started riding down the hill. Part A: What is the average rate of change in Johnny’s height? Part B: What is the height of the hill? Part C: How long will it take Johnny to travel 1/3 of the distance down the hill?

Answers

From the height function, we get that:

a) The average rate of change is of -3 feet per second.

b) The height of the hill is of 45 feet.

c) It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.

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

The height, after t seconds, is given by:

[tex]h(t) = -3t + 45[/tex]

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

The height of the hill is [tex]h(t)[/tex] when [tex]t = 0[/tex], thus [tex]h(0) = -3(0) + 45 = 45[/tex]. 45 feet, which means that the the answer for option B is 45 feet.

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

Item a:

The initial height is of 45 feet, at [tex]t = 0[/tex] seconds.The final height is of 0 feet, at [tex]t = 15[/tex] seconds.Thus, the average rate of change is given by:

[tex]A = \frac{0 - 45}{15 - 0} = -\frac{45}{15} = -3[/tex]

The average rate of change is of -3 feet per second.

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

Item c:

One-third of the distance of 45 feet is [tex]\frac{1}{3}45 = 15[/tex] feet, thus, we have to find the time at which he is at 30 feet, that is, t for which [tex]h(t) = 30[/tex]

[tex]h(t) = -3t + 45[/tex]

[tex]30 = -3t + 45[/tex]

[tex]3t = 15[/tex]

[tex]t = \frac{15}{3}[/tex]

[tex]t = 5[/tex]

It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.

A similar problem is given at https://brainly.com/question/20732437

questions
solve for k.
4m+5k=3t

solve for b.
a/7 + b/3 = x/21

Answers

Answer: k= 3t/5 - 4m/5
Explanation: Solve as if you knew the numbers
Answer: k=3t/5-4m/5
Explanation: Solve as if you knew the numbers

Please answer this question will give brainiest please answer

Answers

Answer:2 and 3

Step-by-step explanation:

Option 3

Good luck on your assingment hope this helps :)

Question 4
<
>
B0/1 pt 53
Write a polynomial in standard form that has the following characteristics.
leading coefficient: -1/3
zeros: 0,9, -21, -3

Answers

Answer:

-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x

Step-by-step explanation:

The polynomial is - 1/3(x-9)(x)(x-2i)(x+2i)(x+3)=-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x

The equation below shows the relationship between the number of apples purchased, a, and the total cost
of the apples in dollars, c. Based on the equation, what is the cost per apple, in dollars?
a/5 = c/4
a. $0.80
b. $1.25
c. $4.00
d.$ 5/3

Answers

Answer:

C

Step-by-step explanation:

a (5) = c (4)

5 x 4 = 20

20 (total) divided by the 5 apples is $4.

The answer is c! $4.00

what is the gradient?

Answers

Answer:

[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]

Answer:

The gradient (slope) is -4.

Step-by-step explanation:

Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3).  As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8.  Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.

What is 1/2[4x + 6(2 + 2x)]

Answers

Answer:

8x+6

Step-by-step explanation:

1/2[4x + 6(2 + 2x)]

Work inside out

Distribute inside

1/2[4x + 12 + 12x)]

Combine like terms

1/2[16x +12]

Distribute

8x+6

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{\dfrac{1}{2}[4x+6(2+2x)] }[/tex]

[tex]\sf{\dfrac{1}{2}[4x+12+12x] }[/tex]

[tex]\sf{\dfrac{1}{2}[16x+12] }[/tex]

[tex]\sf{\dfrac{1}{2}[2(8x+6)] }[/tex]

[tex]\sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6) }[/tex]

[tex]\sf{ 8x+6 }[/tex]

[tex]\sf{ }[/tex]

HELP QUICK.
The problem solving plan identifies the letter W as "What do you need to do to solve the problem?" Which of the following answer choices are included in the problem solving plan for the letter W? A. Solve the problem and change your strategy if necessary. B. Did you check the answer and did you answer the question asked. C. Read the problem carefully, find the question, understand the problem and find out what you know. D. Organize the problem and find the question.

Answers

Pretty sure it’s C That one makes the most sense to me please let me know if you get it right

Answer:

c

Step-by-step explanation:

!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

$1350-$750=$600
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552

Find the missing numbers.

Answers

Answers

1. 6
2. 1
3. 4

Answer:

Step-by-step explanation:

1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)

Hey can someone help with this problem!?

Answers

Answer:

5 spaces

2×(-5)=-10

Answer=10

Step-by-step explanation:

Answer:3

Step-by-step explanation:

looks like 3

11 and 14 please!! I’ll give Brainlist please

Answers

Answer:

11. p-(780/6) or p-130

14. 12

Step-by-step explanation:

11. 780/6 because there are 6 people so we split it evenly.

14. 24/2 = 12

For number 14 the answer is going to be 12 feet per second
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