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The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

[tex]DP^2 =DY^2 + PY^2[/tex]

Substitute values for DP, DY and PY

[tex]10^2 =DY^2 + 6^2[/tex]

Evaluate the squares

[tex]100 =DY^2 + 36[/tex]

Subtract 36 from both sides

[tex]64 =DY^2[/tex]

Take square roots of both sides

[tex]8 =DY[/tex]

Rewrite as:

[tex]DY = 8[/tex]

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

https://brainly.com/question/654982

[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

And,

Area of Triangle :

Area of Rectangle :

Therefore, the Area of whole figure is ~

So, the Correct choice is ~ A

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15

The answer is 17, Volume = h × π×r^2

Divide by known height from both sides

Divide by pi

square root

Answer:

$37,396

Step-by-step explanation:

take 2388.5x4 since there are 4 weeks = $9554

then you subtrct since the portfolio fell.

So $46,950-9554 = $37,396

Answer:

The answer is B --> [tex]\frac{x^{2} }{3x^{2} -1}[/tex]

How I got that:

These are really easy, you're simply looking for numbers that you can factor down. Like here:

I took:

[tex]\frac{4x^{2} }{12x^{2} -4}[/tex]

and saw that I could factor out 4 from the denominator:

[tex]\frac{4x^{2} }{4(3x^{2} -1)}[/tex]

and then I canceled out the common factor (4 because its on both sides):

[tex]\frac{x^{2} }{3x^{2} -1}[/tex]

And there ya go!

~That's All Folks~

-Siascon

Answer: It's B

Step-by-step explanation:          

            22x2  

Simplify   ————————

           12x2 - 4

4.1     Pull out like factors :

  12x2 - 4  =   4 • (3x2 - 1)

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft

MAGAKAKASUNOD NA PO YAN

#CARRYONLEARNING

pa brainliest po thanks

You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.

Step-by-step explanation:

Answer:

KOF

Step-by-step explanation:

Khan Academy

Trust me

Answer:

KOF

Step-by-step explanation:

Khan academy

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

18/42 and 2 and 14/42

Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  [tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

  [tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

• correct me if I'm wrong

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]

Answer:

there are 6.45 or 6.5 square cm in one square inch

Step-by-step explanation:

Answer:im pretty sure its d

Step-by-step explanation:

Answer:

y-4??

Step-by-step explanation:

the other solution is[tex]\frac{-9}{5}[/tex]

Answer:

Solution given:

[tex]5x^2 -11x-36=0[/tex]

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

[tex]5x^2 -(20-9)x-36=0[/tex]open bracket

[tex]5x^2 -20x+9x-36=0[/tex]

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=[tex]\frac{-9}{5}[/tex]

Step-by-step explanation:

Following are the calculation to the given equation:

Given:

[tex]\to 5x^2 - 11x - 36 = 0[/tex]

one solution:

[tex]x=4[/tex]

To find:

other solution=?

Solution:

[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]

Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".

Learn more:

brainly.com/question/3044722

Answer:

-14

Step-by-step explanation: