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what is the length of side s of the square shown below ?

PLS HELPwhat Is The Length Of Side S Of The Square Shown Below ?

Answers

Answer 1

Answer:

[tex]\sqrt{2}[/tex] A.

Step-by-step explanation:

There's a few ways you can go about solving this, but the way I would go with is using sine law.

Sine law:

[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]

in the equation above 'A' an angle, and 'a' would be the length of the side opposite to it. Same thing for B.

You are given the angle 90 degrees, and its opposite side length is 2.

You are also given 45 degrees from one of the corners but it doesn't tell you its side length.

There is one corner where it doesn't tell you the angle but you can figure it out using the law that the angles in a triangle must add up to 180 degrees.

So you subtract the other angles to find the angle of the bottom right angle.

180-90-45 = 45

The reason we want to find that angle, is so we can use sin law to find s.

Write down what you have so far:

[tex]\frac{sin90}{2} = \frac{sin45}{s}[/tex]

Now all you need to do is solve for s.

[tex]\frac{sin90*s}{2} = \frac{sin45}{1}[/tex]

sin 90 is 1.

[tex]\frac{1*s}{2} = sin45\\ \\s = 2*sin45\\\\[/tex]

Now since the answers available are in exact values, you can't just punch this in your calculator.

[tex]sin45 = \frac{\sqrt{2} }{2}\\ \\[/tex]

so,

[tex]s = 2*\frac{\sqrt{2} }{2} = \sqrt{2}[/tex]


Related Questions

What does it mean to solve an equation?
Complete the statements.

The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.

is a solution of the equation because 5 = 5 is a true statement.

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Answer: y, value of y, 9

Step-by-step explanation:

Answer:

1. Y

2. Value of Y

3. 9

Step-by-step explanation:

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Answer:

3(y+1)!

Step-by-step explanation:

Question 17/23

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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?

Answers

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?

Answers

Answer:

10 free throws

Step-by-step explanation:

2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)

What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example

Answers

Answer:

factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integer

Step-by-step explanation:

Factors

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

  5×5 = 25

__

Divisors

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

__

Multiples

For an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

__

Another example

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?

Answers

The length of the rectangle is 30

If i have 36 assignments how many should i do a week to have it all done in 6 weeks
25 points

Answers

Answer: 6

Step-by-step explanation: 36/6 = 6

Answer:

6

Step-by-step explanation:

[tex]\frac{36}{6}[/tex][tex]=6[/tex]

6x6=36

A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?

Answers

Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ4

HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C     . (It does not have to be to scale)
Answer:

Answers

Answer:

long side/length is 63 cm and short side/height is 28 cm

Step-by-step explanation:

18 x 3.5 and 8 x 3.5

To dilate means to grow so you grow the side by 3.5

Help pleaseee i am awful at math

Answers

Step-by-step explanation:

answer is B

use unitary method to solve it

The correct answer is B

ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP

Answers

Step-by-step explanation:

i answered this one already as well.

Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.​

Answers

The pattern is as follows…

The first group has a blue circle followed by a red circle with the first sequential number in it.
The second group has a red number with the next sequential number in it followed by a blue circle.
The third group is a repeat of the first group just with the next sequential number.
This means that the next group should by a repeat of the second group with the next sequential number. That pattern group is displayed in C.

C

B^2-6b+9 b=2 evaluate the expression

Answers

Answer:

the answer is 5 :)

Step-by-step explanation:

B^2-6b+9 b=2

2^2-6(2)+9

8-6(2)+9

8-12+9

-4 + 9

=5

I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units

Answers

Answer:

28

Step-by-step explanation:

Find the length of the darkened arc. leave your answer in terms of

Answers

Answer:

a

Step-by-step explanation:

you can split nine into three

Answer:

The answer is A.

Step-by-step explanation:

You gotta split 9 into 3

I need 3 1/2 cups of flour to make a birthday cake I only have 1 1/3 cups. How much flour do I still need?

Answers

Answer:

2 1/6 cups of flour

Step-by-step explanation:

1. 3 1/2 - 1 1/3

2. = 3 3/6 - 1 2/6

3. = 2 1/6

Evaluate the expression below for x = 2, y=-3, and z=-1.
x2 z2 - y2(x+z)
A. -23
B. -5
C. 13
D. 27

Answers

Answer:

It should be B

Step-by-step explanation:

2 2 -1 2 - -3 2 (2+-1)

1. Always do what's in parentheses

so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.

2 2 -1 2 - -3 2 -1

Then get all exponents done.

4 -1 - 9-1

3-9-1

-6-1

Which should give u -5

trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?

Answers

6 books to be read in all
If 2/3 books = 1 night
Then 6 books = 6 x 1/(2/3)
= 6 x 3/2
= 9 nights
Hence 9 night will be taken to read 6 books

A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its load.​

Answers

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

True or False. The point (7, 5) lies on the circle centered at the origin and containing the point (5, 2). Justify your answer.

Answers

Answer:

the center (0.0)

radius length {5

=x^2+y^2=25

6^2+8^2

36+64

100

which is greater than 25

so Itli outside of circle

please follow me and tag me as brainlist

is 48,200 in scientific notation?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \:48200[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]

A tv is sold for ra 10350 with 15% profit. Find the cp of tv

Answers

CP=SP*100÷100+P

so,

CP=10350*100÷100+15

CP=9000

Answer:

solution

Step-by-step explanation:

Let.the cp of TV be RS X

now,CP=SP-profit

or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)

or, x=Rs 10350-15÷100× X

or, x= Rs 10350 _ 3X ÷20

or, x+3x ÷20 =Rs 10350

or, 23x ÷20 = Rs 10350

or, x = 10350×20 divided by 23

Therefore X =Rs 9000

Geometric series mastery test

Plato/edumentum

Answers

Answer:

183

Step-by-step explanation:

it is clearly a geometric sequence.

the common ratio of multiplication factor is -3.

3 × -3 = -9

-9 × -3 = 27

27 × -3 = -81

-81 × -3 = 243

the sum of these first 5 terms is

3 - 9 + 27 - 81 + 243 = 183

FYI - there is a formula to add the first n terms of a geometric sequence :

Sn = a1(1 - r^n)/(1 - r)

if r < 1 (like in our case -3).

in our case

S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183

What are the zeros of the function y=6x^2-11x+3

Answers

To algebraically find the zeroes of this function, we must factor by grouping

y = ax^2 -bx +c
y = 6x^2 - 11x + 3

Multiply a and c.

6 x 3 = 18

Identify b, b= -11

We need to think of 2 numbers that when added, will give us the b value -(11) and when multiplied, will give us (ac) 18.

-9 + -2 = -11

-9 • -2 = 18

Now, we rewrite the equation using these 2 numbers.

y = 6x^2 - 9x - 2x + 3

Now, we put brackets around the first 2 and last 2 terms.

y = (6x^2 - 9x) (-2x + 3)

Now, simplify the two sets of brackets individually. You will find that the things left inside the brackets will be the exact same.

y = -3x(2x + 3) -1(2x + 3)

Attach the 2 coefficients together and rewrite.

y = (-3x - 1)(2x + 3)

Since we are solving for zeroes, make y = 0

0 = (-3x - 1) (2x + 3)

Both of these binomials equal 0, we must evaluate them separately.

0 = -3x - 1

3x = -1

x = -1/3

Second one:

0 = 2x + 3

-3 = 2x

x = -3/2

zeroes: (-1/3) , (-3/2)







The function f(x)=x^2 is graphed on the coordinate grid.

Use the Parabola tool to graph g(x).

g(x)=3x^2

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:graphed below.Explanation:vertex: (0, 0)

other points:

x    y

-2  12

-1   3

0   0

1    3

2   12

Let's see

g(x)=3x^2

Take some cordinates

(0,0)(1,3)(-1,3)(2,12)(-2,12)

Graph attached

How do you find perimeter?

Answers

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

find the circumference of circle with radius rcm​

Answers

Step-by-step explanation:

By definition, pi is equal to c/d, where c is the circumference and d is the diameter.

This means that C = pi(d).

However, since diameter is twice the radius, if we let the radius be r cm, d=2r.

This gives that C=2pi(r).

This is getting more difficult!

Answers

The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation

The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)

How to determine the vertex?

The equation is given as:-

[tex]y = x^2 - 8x + 3[/tex]

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

By comparison, we have:

a = 1; b = -8; c = 3

The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]

So, we have:

[tex]x = \frac 8{2*1}[/tex]

[tex]x = 4[/tex]

Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]

[tex]y = 4^2 - 8 * 4 + 3[/tex]

[tex]y = -13[/tex]

When x = 2 and 3, we have:

[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]

[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]

When x = 5 and 6, we have:

[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]

[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]

So, the table of values is:

x       y

2      -9

3      -12

4      -13

5      -12

6      -9

Read more about quadratic functions at:

https://brainly.com/question/18797214

In diagram below?FG bisects

Answers

Answer: 107 degrees

Step-by-step explanation:

Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12

Answers

Answer:

12

Step-by-step explanation:

have a good day n ily :)

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