The length of a rectangle is 12 less than the width find the length and width of the rectangle if the area is 160 square meters

Answer:

5.6875 is the answer! :)

Answer:

6 is the answer

Step-by-step explanation:

Answer:

6/8≤m

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-7/8≤m-13/8

+13/8    +13/8

6/8≤m

Answer:

answer m≥3/4 it is simplified form of 6/8

Step-by-step explanation:

thank i hope that help

Answer:

[tex] 2(x - 5)\leqslant \\23[/tex]

Step-by-step explanation:

or

[tex]2x - 10 \leqslant 23[/tex]

Answer:it’s 160

Step-by-step explanation:

Answer:

5+5=10 :D

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

Answer:

145.8cm squared

Step by step:

16.2 divided by 3 = 5.4cm

In the second line where 2 bricks are horizontal and 2 are vertical:

2x + 3y = 16.2

3y = 16.2 - 2 x 5.4

y = 1/3 x 5.4

y = 1.8cm

Hence, height and length of each triangle is 1.8cm and 5.4cm

Complete length = 16.2 cm

Complete height = 2y + x = 2 x 1.8 + 3.4

                            = 9 cm

Area overall = 16.2 x 9 = 145.8cm squared

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

9 and 6

Step-by-step explanation:

9514 1404 393

Answer:

  779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

  A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

  A = (n/2)r²sin(360°/n)

__

For a hexagon (n=6) with radius 10√3, the area is ...

  A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

2x=2×£20=£40

x=£20

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Step-by-step explanation:

= 100+[12×{20−(10÷5)}]

= 100+[12×{20−2}]

= 100+[12×18]

= 100+216

= 316

Answer:

2/8 could be one

Step-by-step explanation:

Step-by-step explanation:

1/4 could be, because

1/4 is smaller than 3/6

1/4 is bigger than 1/8

Answer: sin

Step-by-step explanation:

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

Answer:

Rs. 200

Step-by-step explanation:

Formula: PTR/100

P=Rs.5000

T=8 years

R=5%

Interest = PTR/100

= (5000 x 8 x 5)/100

= Rs.200

Answer:

2000

Step-by-step explanation:

I=P×R×T

=5000×5/100×8

=25000×8

=200,000/100

=2000

Answer:

Follows are the solution to these questions:

Step-by-step explanation:

For point a:

Let the number is = x then,

equation / mapping function:

[tex]\to (x+22.5) \times 2=y\\\\[/tex]

For point b:

Calculating the inverse function:

[tex]\to x = \frac{y}{2} -22.5\\\\[/tex]

now we change the value of x and y so, it will gives the inverse function in standard parameters:

[tex]\to y = \frac{x}{2} -22.5\\\\[/tex]

Answer:

Step-by-step explanation:

800

2x400

     2x200

            5x40

                5x8

                    2x4

                        2x2

2^4x5^2

Given:

The two endpoints of a vector are P = (2, 9) and Q = (4, 14).

To find:

The component form and magnitude of vector PQ .

Solution:

A vector is defined as

[tex]v=\left<x_2-x_1,y_2-y_1\right>[/tex]

Where, [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point.

Two endpoints of a vector are P = (2, 9) and Q = (4, 14). So, the vector PQ is

[tex]\overrightarrow{PQ}=\left<4-2,14-9\right>[/tex]

[tex]\overrightarrow{PQ}=\left<2,5\right>[/tex]

Component form of vector PQ is [tex]\left<2,5\right>[/tex].

The magnitude of a vector [tex]v=\left<a,b\right>[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of vector PQ is:

[tex]|\overrightarrow{PQ}|=\sqrt{2^2+5^2}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{4+25}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{29}[/tex]

Therefore, the correct option is A.

Answer:

Answer is D

Step-by-step explanation:

Answer:

Resultant speed = 12 km/h.

Bearing is 107.14 degrees.

Step-by-step explanation:

This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.

To find the velocity of the resultant  we use cosine rule:

v^2 = 15^2 + 5^2 - 2*5*15cos 45

v^2 = 143.934

v = 12.0 km/h to the nearest tenth.

To find the bearing we use the sine rule to find the angle down from due east>

12 / sin 45 = 5/ sin x

sin x =  5 sin 45 / 12 = 0.2946278

x = 17.14 degrees.

Bearing is therefore 90 + 17.14 = 107.14 degrees.

Answer:

-42≥-6b

7≤b

The only answer that fits this inequality is 8 1/4, the last choice.

Let me know if this helps!

Answer:

2

Step-by-step explanation:

when it's multiplication exponent add up

so the one in the parentheses will be ( x^4/3 x ^2/3) = x ^ 4/3 +2/3 = x ^ 6/3

when you simplify it will give you x ^2

now the last step will be to multiple the exponent

x^ 2/3