Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:

Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:

Answer:

x/y.

Step-by-step explanation:

Deal with each number or letter at a time:

3 / 3 = 1

x^3/x^2 = x

y^4 / y^5 =  y^-1 = 1/y

z / z = 1

So the answer is  1*x * 1/y * 1

= x/y.

Answer:

6x⁵+12x⁴+3x³

Step-by-step explanation:

3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)

therefore

3x³(2x² + 4x + 1) =

(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)

*NOTE: for the brackets the multiplication law of indices is applied, i.e:

nª × n^b = n^a+b therefore

x³ × x² = x^3+2 = x⁵

x³ × x = x^3+1 = x⁴

x³ × x⁰ = x^3+0 = x³

*Note the quoeficents multiple each other, i.e:

3 × 2 = 6

3 × 4 = 12

3 × 1 = 3

so:

= 6x⁵ + 12x⁴ + 3x³

Answer:

3(x -25)

Step-by-step explanation:

common factor is 3,

75 / 3 = 25

3x / 3 = x

Answer:

3(x-25)

Step-by-step explanation:

The common factor is three

divide both terms by three

3x/3 = x

-75/3 = -25

put them back together with the three outside of the parentheses

3(x-25)

Answer:

1.45

Step-by-step explanation:

weight of all books= 14×1.1= 15.4

weight of all duster=7×0.2= 1.4

weight of books and duster= 15.4+1.4=16.8

weight of the empty box = 18.25-16.8=1.45

Answer:

83

Step-by-step explanation:

Answer:

16mm

Step-by-step explanation:

that's because volume is lwh ( length X width X height)

Answer:

2 90/100 in decimal form would be 2.9.

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]

therefore ,

[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]

option ( B )

hope helpful -,-

                     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]

           ✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

    ✶ The exponent indicates how many times a certain number was multiplied by itself.

      ✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.

So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-

[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8

             - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

( 4u + a ) + ( y + 6 )

Step-by-step explanation:

4u(y+6) + a(y+6) ...

The answer is ( 4u + a ) + ( y + 6 )

For part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

5)

Total value = 20×30 + 18×40 + 35×15 = $1845

6)

Net worth = (3500 + 300 + 600) - (1000+200) = $3200

7)

Total debt value = 2000+3200 = $5200

Total assets value = 10000+1300+700 = $12000

Debt to assets value = 5200/12000 = 0.433

Similarly, we can find any debt to assets value by using the formula:

Debt to assets value = Total debt/Total assets

Thus, for part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

Learn more about the debt here:

brainly.com/question/17286021

#SPJ1

Answer:

Below.

Step-by-step explanation:

k / 22 = -66

k = 22*-66

= -1452.

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

Answer: 436.8

Step-by-step explanation:

Answer:

No, because there is only one set of congruent angles.

Step-by-step explanation:

I took the instruction, and this was the right answer!

Answer:

D

Step-by-step explanation:

Answer:

your missing angle is 136

Step-by-step explanation:

equation used: 360 - (136 + 88) = 136

Answer:

2,48,000

Step-by-step explanation:

4x+3y=2

4x=2-3y

x= 2/4 - 3/4 y

x= 1/2- 3/4y

(x= 0.5 - 0.75y)

[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]

[Given]

[tex]\sf \rightarrow 4x + 3y =2[/tex]

[Exchange Sides]

[tex]\sf \rightarrow 4x =2-3y[/tex]

[Divide both sides by 4]

[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]

[Simplify]

[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]

Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

Answer:

B. 60

Step-by-step explanation:

1. take the square root of 64

2. multiply 8*10 and 5*4

3. subtract

Square root of 64 is 8 so,

10*8 - 5*4

80 - 20 =

60

Answer:

The cross section is a trapezoid.

Step-by-step explanation:

Answer:

I'm assuming the x at the end is a variable

9, -4

Step-by-step explanation:

If we replace x with 9, we get 81-36=45 which is 45=45 so 9 is one solution.

If we replace x with -4, we get 16-36=-20 which is -20=20 so -4 is the other solution

So, the solutions are 9 and -4.

Hope this helped you! If there is a mistake in my answer, please tell me and I will correct it as soon as possible.

Answer:

[tex](x−3)(x+5) .....is.. the.. factorised.. form.. of.. the.. expression[/tex]

Step-by-step explanation:

[tex]x^2 + 2x > =15 \\x^2 + 2x - 15 > = 0 \\(x + 4)(x - 2) < 0 , \\{x + 4 < 0 and .x - 2 > 0} or {x + 4 > 0 ,\\and .x - 2 < 0} , \\{x < -4 and .x > 2} or {x > -4 and. x < 2},\\ Discard .x < -4 and. x > 2 because. it. has. no. solutions,\\ leaving .just x > -4 and .x < 2 , -4 < x < 2[/tex]

Answer:

3/6

I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.

Answer:

maybe the answer is 3/5.

Do message me if the answer is wrong

Answer:

9360

Step-by-step explanation:

2/5 is 40%

40% of 23400 is 9360

Answer:

2(y+4)=4y

2y+8=4y

8=4y-2y

8÷2=y

4=y

Therefore y =4

Answer:

Step-by-step explanation:

Question 3

Question 4

Question 5

Answer:

[tex]{ \underline{ \underline{ \mathfrak{ \: answer : \: \: { \tt{ \sin(D) = \frac{ \sqrt{2} }{2} \: \: }} }}}}[/tex]

Step-by-step explanation:

[tex]{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]

[tex]{ \tt{h = \sqrt{ {(opposite)}^{2} + {(adjacent)}^{2} } }} \\ { \tt{h = \sqrt{ 2{(2 \sqrt{15}) }^{2} } }} \\ { \tt{h = \sqrt{2(4 \times 15)} }} \\ { \tt{h = \sqrt{120} }}[/tex]

Therefore:

[tex]{ \tt{ \sin(D) = \frac{2 \sqrt{15} }{ \sqrt{120} } }} \\ \\ { \tt{ \sin(D) = \frac{2 \sqrt{15} }{2 \sqrt{15 \times 2} } }} \\ \\ { \tt{ \sin(D) = \frac{1}{ \sqrt{2} } }} \\ \\ { \boxed{ \tt{ \sin(D) = \frac{ \sqrt{2} }{2} }}}[/tex]