5/3 to the 3rd power

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= 26units✓

Answer:

26

Step-by-step explanation:

we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first

finding the area of the first & last rectangles:

the first and last rectangles are congruent therefore they will have the same area thus

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]

from the figure we obtain:

thus substitute:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]

finding the area of the middle rectangle:

the middle rectangle has a length and width of 3 and 2 respectively Thus

[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]

finding the area of the composite figure:

[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]

substitute what we got:

[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]

simplify addition:

[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]

hence,

the answer is 26 square units

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

Answer:

1/2

Step-by-step explanation:

1/4(1−2/3)2+1/3

1/4(1 /3)2+1/3

1/12*2+1/3

1/6 + 1/3

1/6 + 2/6

3/6

1/2

ooof 2 weeks ago, sorry mate, i want the points doe...

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "a" in exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

In the above equation, parameter "a" is the initial value of the function

In other words, the value of the function when x = 0

Take for instance;

[tex]y = 2*4^x[/tex]

[tex]a = 2[/tex] because when [tex]x = 0[/tex]

[tex]y = 2 * 4^0[/tex]

[tex]y = 2 * 1[/tex]

[tex]y = 2[/tex]

Another significance of parameter a is that; it is the y-intercept of the geometric function.

Answer:

y^5/12

Step-by-step explanation:

y ^ 1/4 * y ^ 1/2

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

y ^ 1/3

We know a^b * a^c = a^(b+c)

y^ 1/4 * y^1/2 = y^ (1/4+1/2) = y^(1/4+2/4) = y^(3/4)

y ^ 3/4

---------

y ^ 1/3

We know a^b / a^c = y(b-c)

y^(3/4 - 1/3) = y^(9/12 - 4/12)

y^5/12

Answer:

11.59 centimeters

Step-by-step explanation:

Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)

Plug in the surface area, length, and width. Then, solve for h:

A = 2(wl + hl + hw)

467 = 2((4)(12) + h(12) + h(4))

467 = 2(48 + 12h + 4h)

467 = 2(48 + 16h)

467 = 96 + 32h

371 = 32h

11.59 = h

So, the height of the prism is approximately 11.59 centimeters

Answer:

A=656 trả lời cho tớ đi...

Answer:

13.2°

Step-by-step explanation:

The solution triangle attached below :

Using trigonometry :

The angle of elevation, θ can be obtained using the opposite side and hypotenus :

Sin θ = opposite / hypotenus

Sin θ = 40 / 175

θ = Sin^-1(40/175)

θ = 13.2°

Answer:

9 (or 18)

9 (or 18)

18 (or 36)

Step-by-step explanation:

If B is midpoint if AC, then AB = BC

AB = 3x

BC = 5x - 6

So...

3x = 5x - 6

==> 2x = 6

==> x = 3

AB = BC = 3×3 = 5×3 - 6 = 9

And...

AC is AB + BC (since B is midpoint)

==> AC = 9 + 9 = 18

((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

Answer:

A. Orthocenter

Step-by-step explanation:

In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex W of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS

Repeating the same procedure from the vertex S to construct the perpendicular line (altitude) to the side WK, and from the vertex K the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle

The point of intersection (the point of concurrency) of the three altitudes is the orthocenter of the triangle and the drawing would therefore be a step in finding the orthocenter of a triangle.

Answer:

orthocenter

Step-by-step explanation:

Answer:

( 10 m n^3) ^2

Step-by-step explanation:

100 m^2 n^6

Break into pieces

What number times itself gives 100

10*10 = 100

m*m = m^2

n*n*n*n*n*n = n^6  Breaking into two parts

n^3 * n^3 = n^6

( 10 m n^3) ^2

Answer:

[tex](10mn^3)^2[/tex]

Step-by-step explanation:

The square root of 100 is 10.

Divide the exponents of [tex]m^2 n^6[/tex] by 2.

You get: [tex]mn^3[/tex]

Put them together and add on the ^2

You get [tex](10mn^3)^2[/tex]

I hope this helps!

Answer:

Y = MX + b

y = -3/4 X + 5

Step-by-step explanation:

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5

Answer:

-95

Step-by-step explanation:

4+9(3+11)-15^2

4+9(14)-15^2

4+9(14)-225

4+126-225

130-225

-95

Answer:Braylon is right

Step-by-step explanation:

it is reduced to x+5/2

Answer:

Braylon is correct, after dividing the numbers given I got _::x+5/2::_

and it cant be simplified more

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.

[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]

This fraction represents a percent.

[tex]\frac{75}{100}[/tex] = 75%

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]

So, the option (B) is correct.

Answer:

40 tacos

Step-by-step explanation:

Step 1:  Determine how many tacos you can buy

Cost of one taco:  $0.50

Money in wallet:  $20

So for every $1 you can buy 2 tacos.  Therefore, 20 * 2 = 40 tacos

Answer:  40 tacos

Answer:40 tacos

Step-by-step explanation: because yeah

Answer:

Assuming a triangle, 5. 3, 4, 5 triangles are classic right triangles.

Respuesta:

El cálculo no está bien hecho.

el cociente es 13

El resto es 29

Explicación paso a paso:

Dividendo = 445

Divisor = 32

Cociente = 14

Resto = 7

445/32 = 13,90625

El cociente = 13

Resto = (13.90625 - 13) * 32

Resto = 0.90625 * 32

Resto = 29

Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]

This is the answer.

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

Answer:

f(6) = -114

Step-by-step explanation:

f(x) = -4x² + 5x

f(6) = -4(6)² + 5(6)

f(6) = -4(36) + 30

f(6) = -114 + 30

f(6) = -114

Answer:

-114

Step-by-step explanation:

to evaluate the function f(x) to find f(6) means to substitute x by 6

f(x) = -4x² +5x

f(6) = -4*6² +5*6

f(6) = -144 + 30

f(6) = -114

Answer:

1 7/12 acres of land

Step-by-step explanation:

Tomatoes = 1/3 acre of land

Corn = 3/4 acre of land

Carrots = 1/2 acre of land

Total acres of land he planted = tomatoes + corn + carrots

= 1/3 + 3/4 + 1/2

= (4+9+6) / 12

= 19/12 acres

= 1 7/12 acres of land

Or

= 1.5833333333333 acres

Total acres of land he planted = 1 7/12 acres of land

None of the given options is correct

Answer:

x_>-4

Step-by-step explanation:

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

Answer:

(-2,1) (-2,2) (-1,1) (-1,2)

Step-by-step explanation: