Simplify the following expression and show your work in details please .

Answer:66.5 degrees

Step-by-step explanation:

Answer:

[tex]\displaystyle QR = 12[/tex]

Step-by-step explanation:

First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).

We are given that PS = 18 and PR = 15, and we want to determine QR.

PS is the sum of PR and RS:

[tex]\displaystyle PS = PR + RS[/tex]

Substitute:

[tex]\displaystyle (18) = (15) + RS[/tex]

Solve for RS

[tex]\displaystyle RS = 3[/tex]

Since RS ≅ PQ:

[tex]\displaystyle RS = PQ = 3[/tex]

PS is also the sum of PQ, QR, and RS. Hence:

[tex]PS = PQ + QR + RS[/tex]

Since PS = 18 and RS = PQ = 3:

[tex](18) = (3) + QR + (3)[/tex]

Solve for QR:

[tex]QR = 12[/tex]

In conclusion, QR measures 12 units.

Answer:

A. An Algebraic Expression

Step-by-step explanation:

Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.

Best of Luck!

Answer:

options A an algebraic expression

Step-by-step explanation:

please mark me brainleast

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

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Answer:

3²×5

Step-by-step explanation:

Product of its prime numbers its more like having the number in its simplest form by factorising it

Step-by-step explanation:

hopefully it makes sense and is visible

:)

The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Using this formula

2021 preferred shareholders(per year)=Per dividend * Dividend rate

Let plug in the formula

2021 preferred shareholders(per year)=[(7,000*$100)*6%]

2021 preferred shareholders(per year)=($700,000*6%)*2

2021 preferred shareholders(per year)=42,000*2

2021 preferred shareholders(per year)=84,000

Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Learn more about preferred shareholders here:

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Answer:

Step-by-step explanation:

The next step is the result of calculating the square roots:

and

This will make the step:

Correct choice is B

eksponent

—

[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]

[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]

[tex] = 4 + 6 \times \sqrt{3} [/tex]

[tex] = 4 + 6 \sqrt{3} [/tex]

9514 1404 393

Answer:

  (a)  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Step-by-step explanation:

You may recall that we use a multiplier to signify repeated addition:

  x + x + x = 3x

In a similar way, we use an exponent to signify repeated multiplication:

  10 × 10 × 10 = 10³

__

The exponent 9 in 10⁹ means the factor 10 appears 9 times in the product:

  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁹

Answer:

a  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Step-by-step explanation:

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

Learn more about Algebra here:

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Answer:

6 pounds

Step-by-step explanation:

1 pound = 16ounces

32ounces*3cakes= 96ounces/16ounces=6pounds

Answer:

135

Step-by-step explanation:

250 x 54%=135

Answer:

-3

Step-by-step explanation:

9514 1404 393

Answer:

  x = -3

Step-by-step explanation:

Undo the addition of -6 by adding the opposite of that to both sides of the equation.

  x + (-6) +(+6) = (-9) +(+6)

  x -6 +6 = -9 +6

  x = -3

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

Answer:

2.2 % per minute

35 minutes

Step-by-step explanation:

(0,23%) and (30, 89%)

We can find the slope

m = ( y2-y1)/(x2-x1)

    = (89-23)/(30-0)

   66/30

   =2.2 % per minute

To get to full change we need 100-23 = 77 %

77% * 1 minute/ 2.2 % =35 minutes

Answer:

750 CP AND PROFIT%=12%

Step-by-step explanation:

SP=rs 840

profit=90

CP=SP-profit

=840-90

=750

profit %=profit/CP*100%

=90/750*100%

=12%

Answer:

the answer is 28

Step-by-step explanation:

PEMDAS:

(8-2) = 6

6^2= 36

36/2= 18

18+10= 28

Answer:

D. 28

PEMDAS:

Parenthesis, exponents, multiplication, division, addition, subtraction

10 + (8 - 2)^2 / 2

1. Parenthesis comes first so we're left with

10 + (6)^2 / 2

2. Then we do the exponents

10 + 36 / 2

3. Then it's division

10 + 18

4. Finally we add

28

Answer:

i think the answer is 64 ounces

Answer:

1/8

Step-by-step explanation:

There is a 1/2 probability for each of the three flips to result in the desired outcome. To get 3 desired outcomes in a row, we multiply each of the probabilities together

(1/2)³ = 1/8

Answer: it is D) 2/3

Spoon ;

[tex]5 \frac{3}{8} = \frac{43}{8} = 5.375[/tex]

Key ;

[tex]6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

Cup ;

[tex]4 \frac{3}{12} = \frac{17}{4} = 4.25[/tex]

bowl;

[tex]5 \frac{5}{6} = \frac{35}{6} = 5.83[/tex]

[tex]key = 6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

I hope I helped you^_^

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

Answer:

[tex] \sin(x) = \frac{16}{17} [/tex]

Step-by-step explanation:

sin = opposite/ hypotenuse

Answer:

plane EBG

Step-by-step explanation:

plane C is also named plane EBG

Answer:

[tex]\\ \sf\longmapsto Plane EBG[/tex]

We can't name it EBF as it is a axis and coplanar points

Also nEF is not a satisfactory name .

So the correct option is C

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

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