Mathematics Middle School

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

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

Answers

19.8m²

Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.

Side note: 2.7 comes from subtracting 3.6 off of 6.3.

Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²

Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²

Then you add the areas of both the rectangle and the triangle together.

14.4 + 5.4 = 19.8m²
The area is 19.8m^2…………………..

The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one below the other. The top and the bottom plots have the title Mathematics Students and Science Students respectively. Below the line for each dot plot is written Mark. The markings on each line are from 30 to 50 at intervals of 1. For the top plot there are two dots each for 34 and 40 and 1 dot each for 32, 33, 35, 37, and 39. For the bottom plot there are 2 dots each for 43, 46 and 49 and 1 dot each for 41, 42, and 47. Based on visual inspection of the dot plots, which group of students appears to have the larger average score? The mathematics students The science students Both groups are similar. Not enough information is available to draw a conclusion.

Answers

Answer:

Science students

When you find the average both plots using median, mean, or interquartile range, you will find that the score for the science students will always be greater than the score of the mathematics students. This is because none of the mathematics students scored higher than the science students, so the mean will always be greater.

MATHEMATICS :

Plot interval = 30 to 50

MEAN :

(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324

Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9

Mean = 324 / 9 = 36

BOTTOM :

SCIENCE :

MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =

406

SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9

406 / 9 = 45.111

Step-by-step explanation: hope this helps

Easy flat heads plus 43,46,38383

Please help me on this question.

Answers

Answer:

a(n)= 120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

 

sort the following numbers from least to greatest.
18.5635, 18 13/16, 18.3125

Answers

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

18.3125

18.5635

18 13/16

Please multiply 6c(4)

Answers

Answer:

24c

Step-by-step explanation:

6 * c * 4 = 6 * 4 * c = 24c

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

24c

Step-by-step explanation:

6c * 4 is 24c. You multiply normally and make it c :)

bers on a number line Use before Lesson 1-4 What is the distance of each point from zero on the number line? 31. A 32. B A A 33. C 34. D 0 2 B C С D + 4 6 8 10​

Answers

Answer: i think its C

Answer:

[tex]\text{Not enough info, can't answer.}[/tex]

1
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again.

Answers

Answer:

72  minutes until they play again

Step-by-step explanation:

18+18+18+18=72

24+24+24=72

Answer:  72 minutes

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

Explanation:

The GCF of 18 and 24 is 6, since this is the largest factor shared between the two numbers

18 = 6*324 = 6*4

To find the LCM, we'll involve the GCF. The LCM of two numbers x and y is found by multiplying them, and then dividing over the GCF of them.

LCM of x and y = (x*y)/(GCF of x and y)

LCM of 18 and 24 = (18*24)/6

LCM of 18 and 24 = 432/6

LCM of 18 and 24 = 72

-----------

To help confirm this, we can list out the multiples of each

multiples of 18 are: 18, 36, 54, 72, 90, ...multiples of 24 are: 24, 48, 72, 96, ...

We see that 72 is the lowest common multiple. This is the final answer because each station will play the same song 72 minutes apart.

The stations play the same song at 3 PM. Then 72 minutes later (4:12 PM), the same song is played again on both stations at the same time. Then at 5:24 PM, another 72 minute gap, is when the same song is played again at the same time. And so on.

----------

Side note: 72 minutes = 60 min + 12 min = 1 hr, 12 min

A. Only sequence A
B. Only sequence B
C. Both
D. Neither
30 POINTS OMG

Answers

B. Only Sequence B

The one with the reflection over the line HI and then the 6 unit translation to the right

Find the values for which the statement is true.
lxl=x

Answers

X is true, since it’s inside the lines it’s going to be positive and be equal to.
X should be right jshshhf

PLEASE HELP ME SOLVE THESE!
-3n-4n-17=25
-15+7.5(2d-1)=7.5
Please show me how as well please :)

Answers

Answer:

-3n-4n = 25 + 17

-7n = 42

n= -6

the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.

-15 + 15d -7.5d =7.5

15d - 7.5d = 7.5 + 15

7.5d = 22.5

d = 3

for the part where theres 7.5(2d-1)

you multiply each number inside the bracket by 7.5, its called distributivity of multiplication

hope that answers your question

hope you understand what i wrote lol

good luck:)

Answer:

Question 1

Original Equation:

-3n-4n-17=25

Add 17 to both sides (cancels out the -17)

-3n-4n=42

Combine -3n and -4n.

-7n=42

Divide by -7

n = -6

Question 2

Original Equation:

-15+7.5(2d-1)=7.5

Distribute:

-15+15d-7.5=7.5

Add 7.5 to both sides:

-15+15d=15

Add 15 to both sides:

15d=30

Divide by 15:

d = 2

Let me know if this helps!

First gets brainly again :D

Answers

Answer:

Blanks in order: Multiplication/multiplying, -7.6-4.4, -12

Step-by-step explanation:

Hi there!

[tex]-7.6-2(2.2)[/tex]

The order of operations: Parentheses, exponents, division/multiplication, addition/subtraction

After exponents is division and multiplication. Because there is no division in the expression, the next step would be multiplying 2 and 2.2:

[tex]= -7.6-4.4[/tex]

Now our final answer after simplifying the above would be:

[tex]= -12[/tex]

I hope this helps!

Answer:

Don't mark me I may be wrong

add,12.34, 13.06

Step-by-step explanation:

A triangle is going to be reflected over the x-axis and translated 4 units left and 2 units up. Which of the following is a TRUE statement?

A
The image with be larger than the pre-image

B
The image with be smaller than the pre-image

C
The image and pre-image will be congruent

D
The image and the pre-image will not be congruent.

Answers

C. The image and the pre image will be congruent
C
The image and pre-image will be congruent

So sorry I really need help

Answers

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

The answer to it is 1 over 4

Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!

Answers

Answer:

The radius is already given, which is 6 in.

Diameter is equal to 2 times the radius (2x6), which is 12 in.

Finally, circumference is equal to 3.14 times the diameter, which is 37.68 in.

Let me know if this helps!

Answer:radius : 6 diameter : 12 circumference : 2 * 3.14 * r

6.28 * 6 : 37.68

note:

radius is the length of half the circle. and diameter is always double the radius.

Hi can someone help me with this question please?

Answers

answer D mfowofwkk ofkedoso de doekkdsf
It’s D your welcome.

Translate into an algebraic expression and simplify if possible:
How far have i travelled if i biked at 10mph for h hrs, i walked 3mph for twice as long as i biked, and ran at 10 mph for one quarter as long as i walked?
(Please help ASAP)

Answers

Answer:

21h miles

Step-by-step explanation:

biking time = h

walking time = 2h

running time = (1/4)(2h) = h/2

total distance = biking distance + walking distance + running distance

= (10)(h) +(3)(2h) +(10)(h/2)

= 10h + 6h + 5h

Total distance equal 21h miles

21 8 miles I hope this out yeah

(Name all sets to which each value belongs. Rational, irrational, whole or natural.

Answers

Answer:

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another.

Moderators i have not copied this ans

Real number is the set of all numbers, including all rational and irrational numbers. Any number that we can think of, except complex numbers, is a real number. Explanation: The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers (Q').

..? ⬇️

The natural (or counting) numbers are 1,2,3,4,5,
1
,
2
,
3
,
4
,
5
,
etc. There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,...}
{
1
,
2
,
3
,
4
,
5
,
...
}
, is sometimes written N
N
for short.

The whole numbers are the natural numbers together with 0
0
.

(Note: a few textbooks disagree and say the natural numbers include 0
0
.)

The sum of any two natural numbers is also a natural number (for example, 4+2000=2004
4
+
2000
=
2004
), and the product of any two natural numbers is a natural number (4×2000=8000
4
×
2000
=
8000
). This is not true for subtraction and division, though.

The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 13
1
3
and −11118
−
1111
8
are both rational numbers. All the integers are included in the rational numbers, since any integer z
z
can be written as the ratio z1
z
1
.

All decimals which terminate are rational numbers (since 8.27
8.27
can be written as 827100
827
100
.) Decimals which have a repeating pattern after some point are also rationals: for example,

0.0833333....=112
0.0833333....
=
1
12
.

The set of rational numbers is closed under all four basic operations, that is, given any two rational numbers, their sum, difference, product, and quotient is also a rational number (as long as we don't divide by 0
0
).

An irrational number is a number that cannot be written as a ratio (or fraction). In decimal form, it never ends or repeats. The ancient Greeks discovered that not all numbers are rational; there are equations that cannot be solved using ratios of integers.

The first such equation to be studied was 2=x2
2
=
x
2
. What number times itself equals 2
2
?

2‾√
2
is about 1.414
1.414
, because 1.4142=1.999396
1.414
2
=
1.999396
, which is close to 2
2
. But you'll never hit exactly by squaring a fraction (or terminating decimal). The square root of 2
2
is an irrational number, meaning its decimal equivalent goes on forever, with no repeating pattern:

2‾√=1.41421356237309...
2
=
1.41421356237309...

Other famous irrational numbers are the golden ratio, a number with great importance to biology:

1+5√2=1.61803398874989...
1
+
5
2
=
1.61803398874989...

π
π
(pi), the ratio of the circumference of a circle to its diameter:

π=3.14159265358979...
π
=
3.14159265358979...

and e
e
, the most important number in calculus:

e=2.71828182845904...
e
=
2.71828182845904...

Irrational numbers can be further subdivided into algebraic numbers, which are the solutions of some polynomial equation (like 2‾√
2
and the golden ratio), and transcendental numbers, which are not the solutions of any polynomial equation. π
π
and e
e
are both transcendental.

The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers. The real numbers are “all the numbers” on the number line. There are infinitely many real numbers just as there are infinitely many numbers in each of the other sets of numbers. But, it can be proved that the infinity of the real numbers is a bigger infinity.

The "smaller", or countable infinity of the integers and rationals is sometimes called ℵ0
ℵ
0
(alef-naught), and the uncountable infinity of the reals is called ℵ1
ℵ
1
(alef-one).

There are even "bigger" infinities, but you should take a set theory class for that!

PLZ ANSWER!!! IF YOU ANSWER U GET 20 POINTS
Find |-65|.

0
65
-65

Answers

65 Bc absolute value of negative is positive
65 is correct. Hope
It helps you

The sum of two consecutive integers is -92. Find the integers.

Answers

Answer:

x = -46.5

x + 1 = -45.5

Step-by-step explanation:

x + x + 1 = -92

2x + 1 = -92

      -1       -1

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

   2x = -93

   ----     ----

    2        2

   x = -46.5

x + 1

(-46.5) + 1

-45.5

Answer:

No solution

Step-by-step explanation:

We can set up an equation where x is the integer and x+1 is the next one

x+x+1=-92

2x+1=-92

2x/2=-93/2

x=-46.5

-46.5+1=-45.5

The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software packages and 6 months of gameplay. Each software package costs $50. If their total is $250, what is the cost of one month of gameplay?

Answers

Answer:

$18.75 is the cost for 1 month of gameplay.

Step-by-step explanation:

2 software packages in total

Unit price for software package is $50, and since there are two packages, $50x2=$100

Now, we know that the total amount of money that the software cost was $100, we can do 250-100=150

150 is how much they spent for 8 months of gameplay. (2+6=8)

To find how much 1 month of gameplay costs, we need to do 150/8 which is equivalent to $18.75


18.75 is the cost of One month of gameplay

Estimate the difference to the nearest tenth.
0.612 – 0.185

Answers

0.612 - 0.186 = 0.427

Answer:

I can’t understand that

Step-by-step explanation:

HELP this stem and leaf plot represents test scores of students in a math class if two test score 68 and 75 are added to the data which statement will be true

Answers

Is there supposed to be answer choices?

First you would need to find the median, mode, and range.

60 68 68 71 71 72 75 75 75 83 83 85 87 87 89 90 95 95 98 98

due to no answer choices, I am going to show you the basics of the plot before the 2 scores are added.

Answer:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)

Please help! I need detail and I need a part a and a part b! Please I need this fast!

Answers

Answer:

A) 60 cents

B) 10 pounds of cabbage = 6 $

Step-by-step explanation:

The number of pounds of cabbage = (x)

The price = (y)

(x,y) = (5,3)

That means for 5 pounds of cabbage the price is 3 dollars.

A.

The price for 1 pound of cabbage can be found using this equation

5x = 3

x = 3/5 or 0.6

60 cents.

B.

(10,6) means that for 10 pounds of cabbage, the price is $6.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

a- 60
b- 10lbs of cabbage, 6 $

Two tapes -red and green- with lengths of 416 ft and 780 ft respectively are cut into two pieces of equal lengths without remainder. What is the greatest length possible for the pieces?

Answers

Answer:

416 is cut to 410 and 780 is cut to 410

Step-by-step explanation:

416-6=410

780-370=410

sorry if its not right

Evangeline is making snake bags for her class. If she can fill 5/8 of her snack bags with 1 1/3 cups of pretzel, how many cup of pretzels are needed to fill all of the snake bags? Write a multiplication equation and a division equation for the situation, then answer the question.

Answers

Answer:

8/3

Step-by-step explanation:

8/3
ik this bec im in hs

Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x

Answers

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

E. 8X^2-10x ! hope this helps

A bottle of hot sauce is 3/4
full. Leigh uses 2/9
of the remaining hot sauce for lunch. How much of a full bottle of hot sauce did Leigh use for lunch?

Answers

1/6 is left. First you need to have a common denominator and that is 36. So you should have 27/36 and 8/36 you can divide the 8 and 36 by 4 to reduce them and that’ll give you 27/9 and 2/36 then you can reduce 27 and 36 by dividing them by 9. You should have 3/9 and 2/4 now you can reduce them individually. 1/2 and 1/3 is what you should have. Then make 6 the common denominator and that’ll be 3/6 and 2/6 subtract that and you’ll get 1/6. That’s how much is left. Hope this helps

Answer:           1/6

Step-by-step explanation:

**TIMED** I need help

Answers

Step-by-step explanation:

from what I understand this should be the answer:

x. y

12. 7. Because y=x-5 and 7=12-5

30. 25 Because 25=30-5

15. 10 Because 10=15-5

Answer:

10

Step-by-step explanation:

15-5=10, simple.

Determine the quotient: 2 4 over 7 ÷ 1 3 over 6.

Answers

Answer:

144/91

Step-by-step explanation:

24/7 ÷ 13/6

Keep the first fraction the same, change the sign, and flip the last fraction to solve

24/7 × 6/13 = 144/91

Answer:

144/91

Step-by-step explanation:

24/7 ÷ 13/6

Keep the first fraction the same, change the '÷' sign to '× ' and reciprocal of the last fraction to solve.  

24/7 × 6/13 = 144/91

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference
15, 13, 11, 9,...

Answers

Answer:

yes

Step-by-step explanation:

its 2

Other Questions
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