I need help please.........

Given:

PQRS is a rectangle.

[tex]PS=5\ cm,\ PR=13\ cm[/tex]

To find:

The length of SR and QS.

Solution:

We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].

According to the Pythagoras theorem, in a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem in triangle PRS, we get

[tex]PR^2=PS^2+SR^2[/tex]

[tex]13^2=5^2+SR^2[/tex]

[tex]169-25=SR^2[/tex]

[tex]144=SR^2[/tex]

Taking square root on both sides.

[tex]\sqrt{144}=SR[/tex]

[tex]12=SR[/tex]

So, the measure of SR is 12 cm.

We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,

[tex]PR=QS[/tex]

[tex]13=QS[/tex]

Therefore, the length of SR is 12 cm and the length of QS is 13 cm.

Answer:

I don't know what the options are, but my equation is (1/4) * n = 9

Step-by-step explanation:

n yards

Each strip = 1/4 yard

9 bracelets made

9 = (1/4) * n

Answer:

(-8, -7) in 3rd Quadrant

Step-by-step explanation:

(-8, -7) in 3rd Quadrant

(8,7) in 1st Quadrant

(8, -7) in 4th Quadrant

(-8, 7) in 2nd Quadrant

Thus, (-8, -7) in 3rd Quadrant

-TheUnknownScientist

Answer:

i do not know

Step-by-step explanation:

Answer: 409

Step-by-step explanation:

67x6+(35÷5)

402+7= 409

Answer:

409

Step-by-step explanation:

all u do is do 35 divided by 5 which =7

then you do 67 times 6 which = 402

then you do 402 + 7 which = 409

Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon

Answer:

Right; 5 Units

Down; 3 Units

Step-by-step explanation:

Self explanitory, please correct me if I made a typo, mistake in answer, etc.

Answer:

right 5 units and down 3

Step-by-step explanation:

just take a point and count how many spaces it goes moving it to its corresponding point on the new image

Answer:

The rectangle that we could use to find the area of the yellow triangle, is a rectangle of length = 12cm and a width = 8 cm. (A image of this can be seen below).

Remember that:

The area of a rectangle of length L and width W is:

A = W*L

The area of a triangle rectangle with catheti a and b is:

A = a*b/2

Then the area of the rectangle of length = 12cm and width = 8cm is:

A = 12cm*8cm = 96 cm^2

Now we need to subtract twice the area of a triangle rectangle of catheti a = 8cm and  b = 6cm

(one cathetus is 6cm because is exactly half of the length of the rectangle)

The area of each one of these triangle rectangles is:

A' = 8cm*6cm/2 = 24cm^2

The area of the yellow triangle will be:

A = A - A' = 96cm^2 - 2*24cm^2 = 48cm^2

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

32 ft

Step-by-step explanation:

s = number of sides

Area of a square = s²

64 = s²

[tex]\sqrt{64}[/tex] = s²

8 = s

P = 4s

P = 4(8)

P = 32

Answer:

P = 64

Step-by-step explanation:

Area ÷ 4 = One side length = 16

16 x 4 = 64

Answer:

-16/3

Step-by-step explanation:

I am not sure if you are aware of this but I am not sure if you are aware of the fact

Answer:

17.5

Step-by-step explanation:

[tex]15^{2}+9^{2}= 306\\[/tex]

[tex]\sqrt{306} = 17.5[/tex]

Answer:

x ≈ 17.5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 15² = 81 + 225 = 306 ( take the square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

Answer:

x = 26

Step-by-step explanation:

[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]

Answer:

x = 26, x = 16.

Step-by-step explanation:

(x - 21)² = 25

Expand the factor.

(x - 21)(x - 21) = 25

Multiply using FOIL.

x² - 42x + 441 = 25

Subtract 25 from both sides.

x² - 42x + 416 = 0

Factor.

(x - 26)(x - 16) = 0.

Set both expressions to 0 and solve.

x - 26 = 0

Add 26 to both sides.

x = 26

x - 16 = 0

Add 16 to both sides.

x = 16

Answer:

y= 6

Step-by-step explanation:

16-10

=6

6+6

= 12

Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

Answer:

$7.90

Step-by-step explanation:

Its is double both so u double $3.95

Answer:

mean:54.857142857143

Range:44

median:56

mode:46

Answer:

Mean: 54

Median: 56

Range: 44

Mode: 46

If you need any help revolving around this topic,feel free to ask and I will be happy to help. Good luck!

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Answer:

f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)

Step-by-step explanation:

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

LETTER C. PO 40 ang sagot

Answer:

Step-by-step explanation:

Perimeter of a square with side a:

P- dependent value, 4- constant of proportionality, a- variable

When a = 11 cm,

Answer:

Step-by-step explanation:

Constant of proportionality is 4

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4