Find each product. (20 Points!)

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

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: Associative property

Step-by-step explanation:

Answer:

sin = opposite / hypotenuse

cos = adjacent/hypotenuse

sin U = 4/5

cos U = 3/5

sin T = 3/5

cos T= 4/5

Answer:

no

Step-by-step explanation:

since;

(4--3)/(4-1)≠(8-4)/(5-4)

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

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:

A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.

Answer:

A closed two dimensional or flat shape figure is called plane shape.

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:

A

Step-by-step explanation:

Answer:

34 because the shape is split.

Step-by-step explanation:

(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:

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:

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:

y=-1/2x-4

Step-by-step explanation:

Hi there!

We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)

Parallel lines have the same slopes, but different y intercepts.

So let's find the slope of x+2y=14

we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides

2y=-x+14

divide both sides by 2

y=-1/2x+7

so the slope of x+2y=14 is -1/2

The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).

Here's the equation of that line so far:

y=-1/2x+b

we need to find b (y intercept)

as the equation will pass through (-8,0), we can use it to solve for b

substitute -8 as x and 0 as y

0=-1/2(-8)+b

multiply

0=4+b

subtract 4 from both sides

-4=b

substitute into the equation

y=-1/2x-4

Hope this helps! :)

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

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:

The probability that an odd number is rolled and a head shows is 1/4

Step-by-step explanation:

In a fair due, the possible results are 1,2,3,4,5,6

The odd numbers we have are 1,3 and 5

We can see we have 3 odd numbers

The probability of selecting odd number is the count of odd numbers divided by the total possible results which is 3/6 = 1/2

For a coin, there are equal probabilities of a head showing or a tail showing and we have that probability as 1/2

So the probability that we have an odd number and a head showing up will be;

1/2 * 1/2 = 1/4

Answer:

105, n+5

Step-by-step explanation:

add five to each input

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:

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:

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:

f(3) = -28

Step-by-step explanation:

f(3) = -5(3²) - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 + 20

= -28

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