A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?

Answer:

34 because the shape is split.

Step-by-step explanation:

Answer:

2 cm²

Step-by-step explanation:

Perimeter of a rectangle = perimeter of a square + perimeter of a square

2 congruent squares, side by side

The perimeter of the two squares = 6*sidelength.

Perimeter of a rectangle = 6 cm

The perimeter of the two squares = 6 * length

= 6l

Perimeter of a rectangle = The perimeter of the two squares

6 = 6l

l = 6/6

l = 1

Length = 1 cm

What is the total area of the squares.

Area of a square = lenght²

Area of two squares = 2(length ²)

= 2(1²)

= 2(1)

= 2 cm²

Respuesta:

25 cm²

Explicación paso a paso:

El área A de un rombo tiene:

A = pq / 2

Donde pyq son las diagonales

Tomando p como la diagonal más grande = 10 cm

Diagonal más pequeña, q = 1/2 * 10 = 5cm

Por lo tanto, el área del rombo es:

A = (10 * 5) / 2

A = 50/2

A = 25 cm²

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

[tex]h(t)=6.85\cos (3.42t)+9[/tex]

The mass is performing S.H.M with frequency [tex]\omega =3.42[/tex]

and [tex]\omega T=2\pi[/tex]

[tex]\therefore T=\dfrac{2\pi }{\omega}[/tex]

time when mass returns to its original position

[tex]T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s[/tex]

The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.

Since the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds

So here the time should be

[tex]= 2\pi \div 3.42\\\\= 2\times 3.14\div 3.42[/tex]

= 1.8 seconds

Therefore, The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.

Learn more about time here: https://brainly.com/question/24308516

Answer:

A =374.1 m^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

A = 25.8*14.5

A =374.1 m^2

Answer:

Area of rectangle is 374.1 m ²

Step-by-step explanation:

Area of rectangle = Length × Breadth

Using Formula

Area of rectangle = Length × Breadth

substitute the values.

Area of rectangle = 25.8 m × 14.5 m

multiply, we get

Area of rectangle = 374.1 m ²

Therefore, the area of rectangle is 374.1 m ²

Answer:

7.5 minutes

Step-by-step explanation:

Given

See attachment for complete question

Let

[tex]t \to time[/tex]

[tex]y \to capacity[/tex]

From the question, we have the following points

[tex](t_1,y_1) = (0,7)[/tex] --- When he first sees it

[tex](t_2,y_2) = (3,5)[/tex] --- 3 minutes later

First, we calculate the rate (m)

[tex]m = \frac{y_2 -y_1}{t_2 -t_1}[/tex]

[tex]m = \frac{5 -7}{3 -0}[/tex]

[tex]m = -\frac{2}{3}[/tex]

The discharge rate is 2/3 gallons per minute

To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons

To calculate time (t), we have:

[tex]Rate * Time = Capacity[/tex]

[tex]\frac{2}{3} * t = 5[/tex]

Solve for t

[tex]t = 5 *\frac{3}{2}[/tex]

[tex]t = \frac{15}{2}[/tex]

[tex]t = 7.5[/tex]

Answer:

Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Step-by-step explanation:

Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:

130 - 109 = 21 km por hora

130 / 21 = 6.19

1 = 60

0.19 = X

0.19 x 60 = 11.4

Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Answer:

The number is 24

Step-by-step explanation:

Let x = number

Add 16 to the number

x+16

Is equal to 40

x+16 = 40

Subtract 16 from each side

x+16-16 = 40-16

x = 24

Answer:

28 square feet

Step-by-step explanation:

the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.

10x2=20

4x2=8

20+8=28

Answer:

length- 10cm, width- 5cm

Step-by-step explanation:

You want to convert this into an algebraic equation.

Since a=lw, in this case, 50=lw. Subbing (x+3) for l and (x-2) for w, we get the equation (x+3)(x-2)=50.

Using FOIL, we can expand the brackets to make x²-2x+3x-6=50 and collect like terms to x²+x-6=50.

We want all the numbers on one side (to use the null factor law), so we subtract 50 from both sides. This gives x²+x-56=0.

From there, we factorise it, which becomes (x-7)(x+8)=0. (I used the cross method for this)

With the null factor law, one of the brackets must be equal to 0, meaning x-7=0 or x+8=0. This gives x as either 7 or -8.

With measurement, units must be positive, meaning it has to be 7. We can sub this for x in the 2 equations (length and width) to get the answers.

Length=x+3 becomes 7+3, which is 10cm.

Width=x-2 becomes 7-2, which is 5cm.

**This content involves writing, expanding, and factorising quadratic equations, and the null factor law which you may wish to revise. I'm always happy to help!

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

[tex]\longrightarrow{\green{a\:=\:2}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

➡[tex]\:4a + 1 = a + 7[/tex]

Combining like terms, we have

➡[tex]\:4a - a = 7 - 1[/tex]

➡[tex]\:3a = 6[/tex]

➡[tex]\:a = \frac{6}{3} [/tex]

➡[tex]\:a = 2[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➪ [tex] \: 4 \times 2 + 1 = 2 + 7[/tex]

➪ [tex] \: 8 + 1 = 9[/tex]

➪ [tex] \: 9 = 9[/tex]

➪ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

29.2 cm

Step-by-step explanation:

The two leg lengths are 15 and 25 cm and we are to find the length of the hypotenuse.  The Pythagorean Theorem applies here because this is a right triangle.  

a^2 + b^2 = c^2 becomes 15^2 + 25^2 = 225 + 625 = 850

The hypotenuse length is thus √850 ≈ 29.2 cm

Answer:

f(3) = -28

Step-by-step explanation:

f(3) = -5(3²) - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 + 20

= -28

(4a³+6a²-10a-4)+(6a²+a²+a+7)

(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)

10a³+7a²-9a+3

OPTION D is the correct answer

Answer:

option d is the correct answer

I hope it helped U

stay safe stay happy

Answer:

B. 14 and 15

hope this helps

have a good day :)

Step-by-step explanation:

the square root of 200 is 14.14213562 so it has to be between 14 and 15

Answer:

no

Step-by-step explanation:

since;

(4--3)/(4-1)≠(8-4)/(5-4)

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

sin = opposite / hypotenuse

cos = adjacent/hypotenuse

sin U = 4/5

cos U = 3/5

sin T = 3/5

cos T= 4/5

Answer:

130°

Step-by-step explanation:

angle TFM + angle MFD = 180° (being a linear pair)

or, 4m + 142° +2m + 56°= 180°

or, 6m= 180°- 198°

or, m= -18°/6

so, m= -3°

now, angle TFM = 4m +142°= -12°+142°= 130°

Answer:

A

Step-by-step explanation:

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Answer: Associative property

Step-by-step explanation:

Answer:

105, n+5

Step-by-step explanation:

add five to each input