the diagonal of a square is 50cm long. how long are the sides of the square?

Answers

Answer 1
#1
avatar
+5
The diagonal is the hypotenuese of a Right Triangle, so use the Pythagorean Theorom
a^2 + b^2 = c^2

Since it is a square a = b
so a^2 + a^2 = 50^2
2a^2 = 2500
a^2 =1250
a = 35.355 cm = lenght of a side

Related Questions

Cuál es el valor líquido sobre un documento con valor nominal de $25,000 que vence dentro de 3 meses a una tasa de descuento simple del 9% anual?

Answers

Respuesta:

$ 24437,5

Explicación paso a paso:

Dado :

Valor nominal = $ 25000

Tasa, r = 9% = 0.09

Período, t = 3 meses = 3/12

Usando la relación:

Equidad en el documento = Valor nominal (1 - rt)

Equidad en el documento = $ 25000 (1 - 0.25 * 0.09)

$ 25000 (1 - 0.0225)

$ 25000 (0,9775)

= $ 24437.5

La equidad en el documento = $ 24437.5

Find the value x ……….

Answers

Answer: 6 because it more than thd base and less than the other triangles leg

Step-by-step explanation:

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2 = y^2 + 25[/tex]

[tex]\frac{y}{11} = \frac{5}{y}[/tex]  

[tex]y^2 = 55[/tex]

[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]

Matt is making cookies. He adds 3 over 4 cup of sugar to a bowl. He then removes two 1 over 8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?

Answers

Answer:

3/4 is equal to 6/8 2 1/8s is equal to 2/8

Answer:

Step-by-step explanation:

Hi Arianna!

3 over 4 cups of sugar = 3/4

Two one over eight cups of sugar = 2 1/8

Basically we’re trying to find out the amount of sugar left in the bowl.

Matt adds 3/4 cup of sugar

Then removes 2 1/8 cups of sugar

14. The length of a rectangle is 14 cm more than its breadth and its perimeter is 180 cm. Find area of the rectangle.
pls help me in solving this question
I have seen the results but I got one right but in that there were 2 b n the perimeter of rectangle is 2(l+b)​
day after tomorrow my papper is there pls help me

Answers

Answer:

1976 cm 2

Step-by-step explanation:

Let the length of the rectangle be=l

So, breadth is b=l−14

Perimetre= 2(l+b)=2(l+l−14)=180 cm

⟹4l−28=180cm

⟹l=52cm

And, b=52−14=38cm

Hence, Area=l×b=52×38=1976cm  

2

3(5-4)+2(5)-5 squared

Answers

the answer should be -12 if I did the math right.

Step-by-step explanation:

3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)

3+10-25(Square of 5 is 25)

-12(subtracting the above equation 12 comes)

johnny wants to construct a circular area for his patio. he bought enough stones to cover 200.96m^2. If he wants to put an umbrella in the middle of the patio, how far away is the table going to be from the edge of the circular patio

Answers

Answer:

Step-by-step explanation:

area = πr² = 200.96

r = √(200.96/π) ≅ 8

The table is 8 meters from the edge.

Please help
I am giving all my points for this (15 points)
Select all input values for which g(x)=8.
Choose all answers that apply:
(Choice A)
x=−4
(Choice B)
x=6
(Choice C)
x=9
(Choice D)
None of the above

Answers

Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

What is the rate of change of the function shown on the graph? Round to the nearest tenth.

Answers

The answer is (B) which is 2.5

A student buys 5-cent, 10-cent, and 15-cent stamps, with a total value of $6.70. If the
number of 5-cent stamps is 2 more than the number of 10-cent stamps, while the
number of 15-cent stamps is 5 more than one half the number of 10-cent stamps, how
many 15-cent stamps did the student obtain?

Answers

The value of the 10 cent stamps is, as you said, , the value of the 5 cent stamps is and the value of the 15 cent stamps is 15(0.5n + 5). These three values add up to the total value of the stamps, namely $6.70.

10n + 5(n+2) + 15 (1/2n + 5) = 6.70

10n +5n + 10 + 15/2n + 75 =670

10n + 5n + 15/2n =585

20n + 10n + 15n = 1170

45n = 1170

N=26

What is the solution to the equation 4x + 2 = x3? (Round to the nearest tenth).
The solution is about x=?

Answers

Answer:

X = -2

Step-by-step explanation:

4x + 2 = x3

Subtract 2 from both sides:   4x = x3 -2

Subtract x3 from both sides: 4x - 3x = -2

This leaves 1x = -2 which can also be written as x = -2

x = -2

1
Work out the area of the shape:
3cm
6cm
2cm
2cm

Answers

Answer:

24 cm

Step-by-step explanation:

6*2+3*4=?

12+12

24 cm

The coordinates of the image of P(3,-4) under a reflection in the x-axis are:

A. (3,4)
B. (4, -3)
C. (-4, 3)
D. (-3,-4)

Answers

Answer:

D. (-3,-4)

Step-by-step explanation:

PLACE YOUR GRAPH TOWARDS A MIRROR.....

The new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].

What is reflection?

Reflection is a type of rigid geometrical transformation that maintains the object's size and shape, unlike other transformations such as dilation, which changes the size of the shape, reflection results in congruent images.

What is the rule for the reflection in the x-axis?

The rule for the reflection over the x axis is "if the point (x, y) reflected in axis the it becomes (x, -y).

According to the given question.

We have a coordinates of the image of P(3, -4).

So, when the coordinates of the image is reflected in the x-axis then the x coordinate remains same but the y coordinate changes its sign from negative to positive and we get the new coordinate of the image that is [tex]P'(3, 4).[/tex]

Hence, the new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].

Find out more information about reflection here:

https://brainly.com/question/15175017

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Line CD passes through points C(3, 5) and D(6, 0). What is the equation of the line CD in standard form?

Answers

Answer:

the answer is 5x - 3y = 30!!

ABC is a straight angle. Which equation can be used to find the measure of the unknown angle?

Answers

Step by step equation

¿Qué se requiere para sumar o restar dos matrices?

Answers

Para poder sumar o restar matrices, éstas deben tener el mismo número de filas y de columnas. Es decir, si una matriz es de orden 3×2 y otra de 3×3, no se pueden sumar ni restar.

Can someone help me with this question I'll give brainliest!

Answers

Answer:

61% is the answer

Step-by-step explanation:

for paper 1:

[tex] \frac{75}{100} \times 60 = 45[/tex]

for paper 2:

[tex] \frac{55}{100} \times 140 = 77[/tex]

For paper 1, hisham's score is 45 out of 60

For paper 2, hisham's score is 77 out of 140

Therefore, his total score is 122 out of 200.

Therefore his total percentage score is now,

[tex] \frac{122}{200} \times 100 = 61[/tex]

61%

p% of m translate into an algebraic expression

Answers

Answer:

p/100*m

Step-by-step explanation:

Ok so first off, we know that,

percent means out of 100

therefore,

p/100 *of* (means multiplication in math) m  

So if we would replace *of* with multiplication, the problem would look like this

p/100 * m  and that would be your answer.

the reason we do not simplify it further is because it only asks for the algebraic expression, not the final result!

Cheers! I hope this helps and you can understand now.

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement p% of m can be written in the form of an expression as pm/100.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement p% of m can be written in the form of an expression as shown below,

p% of m

p% × m

= (p/100) × m

= (p × m)/100

= pm/100

Hence, The given statement p% of m can be written in the form of an expression as pm/100.

Learn more about Expression here:

https://brainly.com/question/13947055

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Please help me with this
Just bottom part

Answers

f(n)=5^n

f(4)=?

soln...

just put the value n=4

f(4)=5^4

=625.......

A 1-pound bag of sunflower seeds provides 96 grams of protein, There
are 58.5 grams of protein in a 6.5-ounce bag of pumpkin seeds. Which
type of seed has more grams of protein per ounce? How many more
grams of protein are there in 24 ounces of the higher-protein seeds?

Answers

Answer:

Pumpkin seed has more grams of protein per ounce

216 grams of protein

Step-by-step explanation:

1 pound = 16 ounce

16 ounce of sunflower seeds = 96 grams of protein

6.5 ounce of pumpkin seeds = 58.5 grams of protein

Which type of seed has more grams of protein per ounce?

Sunflower seeds:

Protein per ounce = 96 grams / 16 ounce

= 6 grams of protein per ounce

Pumpkin seeds:

Protein per ounce = 58.5 grams / 6.5 ounce

= 9 grams of protein per ounce

Therefore,

Pumpkin seed has more grams of protein per ounce

How many more grams of protein are there in 24 ounces of the higher-protein seeds?

Quantity of protein = 24 ounces ×

9 grams of protein per ounce

= 216 grams of protein

Can someone explain this to me thank you

Answers

Answer: x = 16.9

Concept:

Here, we need to know the idea of basic trigonometry.

Sine = Opposite / Hypotenues = O / H

Cosine = Adjacent / Hypotenues = A / H

Tangent = Opposite / Adjacent = O / A

Solve:

Angle θ = 50°

Opposite = x

Hypotenues = 22

Given formula

Sine = Opposite / Hypotenues

Substitute the value into the formula

sin (50) = x / 22

Multiply 22 on both sides

sin (50) × 22 = x/22 × 22

x = 22 sin (50)

x = 16.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

16.85

Step-by-step explanation:

SOH CAH TOA

sin 50 = about 0.766

times by 22 then u get

16.85

Hope this helps

If a zero is
, then the graph of its function only touches the x–axis at that zero.

Answers

Answer:

Step-by-step explanation:

Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.

Can someone please help me with this question?​

Answers

9514 1404 393

Answer:

  3.78×10^-5

Step-by-step explanation:

To find 4 times the measurement, multiply the measurement by 4.

  4 × 9.45×10^-6 = 37.8×10^-6 = 3.78×10^-5

__

Your calculator or spreadsheet can do this for you and express the result in scientific notation.

What is the value of x?

Answers

Answer:

x is equal to give

Hope am correct

Answer:

x = 5.

Step-by-step explanation:

x / (x + 5) = (x - 2)/(x+ 1)

x(x + 1) = (x - 2)(x + 5)

x^2 + x = x^2 + 3x - 10

x = 3x - 10

-2x = -10

x = 5.


HELP ASAP!!
duskkdkdkdjdjdkddkkffkkkfkgkfkfkkf

Answers

(Soh Cah Toa) which means Tan is opposite over adjacent. find the number opposite from A which is 5 and the number adjacent to it, 12. So tan is 5/12

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é: a) r = 6 b) r = 7 c) r = 9 d) r = 11 e) r = 12 2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a: a) 78 b) 79 c) 80 d) 81 e) 82

Answers

Answer:

1) b) r = 7

2) e) 82

Step-by-step explanation:

Progressão aritmética:

Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.

O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:

[tex]a_n = a_1 + (n-1)r[/tex]

Tomando o m-ésimo termo como referência, tem-se que:

[tex]a_n = a_m + (n-m)r[/tex]

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:

[tex]a_5 = 40, a_9 = 68[/tex]. Então:

[tex]a_n = a_m + (n-m)r[/tex]

[tex]68 = 40 + 4r[/tex]

[tex]4r = 28[/tex]

[tex]r = \frac{28}{4} = 7[/tex]

Então a resposta correta é dada pela alternativa b.

2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:

O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.

[tex]a_n = a_1 + (n-1)r[/tex]

[tex]107 = 72 + 7r[/tex]

[tex]7r = 35[/tex]

[tex]r = \frac{35}{7} = 5[/tex]

Então, o terceiro termo é:

[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]

Logo, a resposta correta é dada pela alternativa e.

Question 8(Multiple Choice Worth 5 points) (01.01 MC) Which number line best show how to solve -4 - (-8)?​

Answers

The answer to your question is A

Answer:

4

Step-by-step explanation:

-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8

Derek had a bill of $29 last month on he Call-a-Lot Plan. How many minutes did he use?

Answers

it depends on how much it costed per minute if it was a dollar a minute then it would be 29 minutes

can someone please help me with this question!

Answers

Answer:

A

Step-by-step explanation:

The x value of the center = 0

The y value of the center = 220/2 + 11 = 110 + 11 = 121

so the center is at (0,121)

The radius is 220/2 = 110

The equation of the Ferris Wheel is

x^2 + (y - 121)^2 = 110^2

x^2 + (y - 121)^2 = 12100

Identify the values of the variables. Give your answers in the simplest radical form

Answers

Answer:

Step-by-step explanation:

A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by selling for the same selling price.

Answers

Answer:

Current selling price = Rs 20 × 120 %

= Rs 24

Cost price should be [100 ÷ 125 ] × 24

= Rs 19.20

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