ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square.

Answers

Answer 1

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm


Related Questions

Marcos sells snow cones in the summer. He uses a cone with a radius of 1.5 inches and a height of 5 inches. If he fills the snow cone to the rim with ice before pouring on the syrup. About how much ice will it take to fill the cone?​

Answers

Answer: [tex]11.78\ in.^3[/tex]

Step-by-step explanation:

Given

Radius of cone [tex]r=1.5\ in.[/tex]

Height of cone [tex]h=5\ in.[/tex]

Ice required to fill the cone=Volume of cone

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Put values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]

R
56
30°
T
S
What is the measure of Angle R?
plz help

Answers

Answer:

94

Step-by-step explanation:

180-30-56=94 degrees

for triangle FGH, angles F and G are known, as is the length of side h. Which method should be used to start solving triangle FGH?

- neither law can be used
- law of sines
- law of cosines
- both laws can be used

Answers

Answer:

Law of sines

Step-by-step explanation:

i took the test

The law of sines can be used to calculate the side h. Hence, option B is correct.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.

Hence, Hence, option B is correct.

To know more about Trigonometry follow

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Drag numbers to the table so it shows a proportional relationship between x and y.

Answers

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. Sorry for the inconvenience!

Answer

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. yeah thats right

Step-by-step explanation:

cant not solve unless u explain

FIND THE THE
MISSING ANGLE:
31°
29

Answers

Answer:

120°

Step-by-step explanation:

31 + 29 = 60

180 - 60 = 120

42.44 I believe is the answer

seven multiplied to the sum of twelve and four

Answers

I think the answer is 112

Answer:

I think answer is the 112

(pls answer this) (no links) (pls explain )

Answers

Answer:

2(3.5g - 4.5h)

Step-by-step explanation:

factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again

I think it can be a triangle but want another opinion

Answers

Answer:

I think It's a triangle too

Step-by-step explanation:

Write the quadratic equation in standard form:
-3x^2 + 2x + 6 = -x^2

Answers

Answer:

Hi! The answer to your question is -2x^2+2x+6=0

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Ellen had 380 legos, but she lost 57 of them, how many legos does she have now?

Answers

380-57= 323
Answer: 323 legos remain

Answer:

323 legos

Step-by-step explanation:

What percent of 513 is 248

Answers

Answer:

48.34%

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

248/513 is .483430799, so rounded is 48%

write as y=mx+b
passes through (-3,7) with a slope of [tex]\frac{3}{2}[/tex]
passes through (7,0) and 0,-5)

Answers

Answer:

yrheyetegegetehegehehdhdbdhehehehrhrhthrjfucchffjjd ftfju

Can you help me plz? I'll mark brainilest

Answers

the answer is amplitude

What is the answer to my question

Answers

672 cm³
Step-by-step explanation:
10x7x9=630
2x3x7=42
630+42=672

PLEASE DUE IN 5 mins

Answers

Answer:

am i too late

Step-by-step explanation:

guys what does integer mean in mathematicians , plss help i kind of forgot✌​

Answers

Answer:

Integer is a whole number; a number that is not a fraction.

Step-by-step explanation:

Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 58 + 16 + 1000​

Answers

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

What is the correct value of x

Answers

Answer:

45°

Step-by-step explanation:

The triangle is right isosceles.

It is right as the side is the diameter of the circle.

It is isosceles as two sides marked as equal.

Acute angles are same and equal to:

90°/2 = 45°

Correct option is 45°

Answer:

<M=90°[inscribed angle on diameter is 90°]

<N=<L=[base angle of isosceles triangle]

now

<M+<l+<N=180°[sum of interior angle of traingle]

[2x-5]×2=180-90

4x-10=90

x=100/4=25

x=25

Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4

Answers

Answer:

13×1/4

Step-by-step explanation:

turn into improper fraction

A man places a 20 foot ladder against a 16 foot What is the measure of the angle formed by the ladder and the ground?

Answers

Answer:

is there any more context?

Step-by-step explanation:

Answer:

53.130°

Step-by-step explanation:

tan(x)=16/12

x is used in replacement of theta symbol

Help me if u can thnx ✨✌️

Answers

Answer:

40/9

$189

Step-by-step explanation:

1 2/3 / 3/8 =

4 4/9 = 40/9

6.85 x 315 - 6.25 x 315 = $189

Hope that helps!

Answer:

ik gonna let u solve this question but I explained what u need to do to solve it

What is the area of the figure on the cordinate plane below

Answers

Answer:

where is the coordinate plane?

Step-by-step explanation:

Answer:

No picture please add it next time and make sure to double check if its there.

Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +

Answers

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

Question 2 (1 point)

What is the length of a day-night cycle? Is it the same everywhere on Earth?

12 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth.

12 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

24 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth

24 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

Answers

Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

HELPPPPP ME PLEASEEE

Answers

Step-by-step explanation:

write and say i am not understanding

Answer:

Ok ok, trust me this is not a scam nor hack

Step-by-step explanation:

I didn't no idea to explain in words so i edited the photo

Please answer ASAP I NEED HELP

Answers

Answer:

450 cm^3

Step-by-step explanation:

( 1/2 (5+7.5) 6 ) 12

On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Lucas counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?


67


61


63



65

Answers

Answer:

67

Step-by-step explanation:

There are 65 seats in row 20, option D is correct.

Given that number of seats in row 3 are 31.

Number of seats in row 6 are 37

We need to find the rate of increase, we can calculate the difference in the number of seats between row 6 and row 3 and divide it by the number of rows in between:

Rate of increase = (Number of seats in row 6 - Number of seats in row 3) / (6 - 3)

Rate of increase = (37 - 31) / (6 - 3)

Rate of increase = 2

So, the number of seats increases by 2 seats per row.

To find the number of seats in row 20, we can use the rate of increase:

Number of seats in row 20 = Number of seats in row 3 + (Rate of increase × (20 - 3))

Number of seats in row 20 = 31 + (2× (20 - 3))

= 31 + (2 × 17)

= 31 + 34

= 65

Therefore, there are 65 seats in row 20.

To learn more on Rate of Increase click:

https://brainly.com/question/20820218

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please answer fast need help

Answers

i think it’s maybe d i’m not for sure.

Can someone please help me with math oh ya no links pls

Answers

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Just ratios, please help
Express the ratio in lowest terms. (Enter your answer in fraction form.)
80/32
Express the ratio in lowest terms. (Enter your answer in fraction form.)
24 to 21
Express the ratio in lowest terms. (Enter your answer in fraction form.)
2/9 to 7/6
Express the ratio in lowest terms. (Enter your answer in fraction form.)
4 1/2 to 2 1/2

Answers

80/32 -> 10/4 -> 5/2 (divided by 8, then by 2)

24/21 -> 8/7 (divided by 3)

2/9 to 7/6 -> 4/21
Find least common denominator (18), and fractions/ratio become 4/18 to 21/18. Multiply both times 18 to eliminate the denominators = 4 to 21 = 4/21

4 1/2 to 2 1/2 -> 9/2 to 5/2 -> 9/5
Convert mixed numbers to fractions:
9/2 to 5/2
Multiply both by 2 to eliminate the denominators, and the ratio is 9 to 5 = 9/5

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