A certain forest covers an area of 4000 km². Suppose that each year this area decreases by 4.25%. What will the area be after 15 years?
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Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.

Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.

From the concept of the similar triangle,

3/BD = BD/12

BD² = 12 × 3

BD² = 36

As triangle BDC is a right-angled triangle, use Pythagoras' theorem

m² = BD² + 3²

m² = 36 + 9

m² = 45

m = √45

m = 6.708

m ≈ 6.71

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Answer:

ABC=BCD wtdf

Step-by-step explanation:

Answer:

40/20 & 22/11

Step-by-step explanation:

To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...

Answer:

c.

Step-by-step explanation:

First at all you need the half circle area formula:

(Pi*r2)/2 = 18Pi

After resolved this you have: r = 6, then diameter= 12

Then c) Its perimer is 40 because AB + CD + BC + AD = 40

Answer:

Say wahhhhh!

Step-by-step explanation:

Answer:

To find the perimeter, we will first find the side of the square tile.

ㅤ

Now,let us find perimeter.

The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

Answer: 3

Step-by-step explanation:

5 X 3/5 = 3

The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the graph

f(x) = (-1/5)x + 1

Using the slope intercept, slope m is -1/5

The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.

Slope of perpendicular line = -1 / (-1/5)

Slope of perpendicular line = 5

Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - (-1) ) = 5( x - (-2) )

( y + 1 ) = 5( x + 2 )

y + 1 = 5x + 10

y = 5x + 10 - 1

y = 5x + 9

f(x) = 5x + 9

Therefore, the equation of the perpendicular line is f(x) = 5x + 9.

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Answer:

$3.50

Step-by-step explanation:

Store X:

0.15*35 = 5.25

35-5.25 = 29.75 dollars

Store Y:

0.05*35 = 1.75

35-1.75 = 33.25 dollars

Total difference:

33.25-29.75 = 3.50 dollars

Answer:

24

Step-by-step explanation:

The explanation is 12/.5 = 24

Answer:

b

Step-by-step explanation:

The arc length is, 720 ft.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

Length of an arc is given by:

l = r Ф .....[1]

where r is the radius of the circle and  Ф is the angle in radian.

From the given information;

In a circle with a radius 8 ft with an arc AB intercepted by a central angle of pi/4 radians.

r = 8 ft and radian pi/4

Substitute these values in [1] we have;

l = r Ф

l = 8 x pi/4 ft.

l = 4 pi

l = 4 x 180

l = 720 ft

therefore, the arc length  is, 720 ft.

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Answer:

90

Step-by-step explanation:

4.5*4*5= 90

.....................................

Answer:

I don't understand

Step-by-step explanation:

but hope u will understand

Answer:

3

Step-by-step explanation:

Answer:

d = √(x²~x¹)² + (y²-y1)²

Step-by-step explanation:

√(1--3)² + (7-2)²

the square root covers everything

then put this answer on the calculator

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help

Formula ->  [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Identify which is x and which is y

-> E (1,7) F(-3,2)

    |[tex]x_1[/tex]|[tex]y_1[/tex]|    |[tex]x_2[/tex]|[tex]y_2[/tex]|

-> [tex]D=\sqrt{(-3-1)^2+(2-7)^2}[/tex]

-> [tex]D=\sqrt{(-4)^2+(-5)^2}[/tex]

-> [tex]D=\sqrt{16+25}[/tex]

-> [tex]D=\sqrt{41}[/tex]

Answer:

∠U=70°

Step-by-step explanation:

[tex]Cos~U=\frac{32^2+40^2+42^2}{2(32)(40)}[/tex]

[tex]Cos~U=43/128[/tex]

∠ U=  [tex]Cos^{-1}(43/28)[/tex]

∠ U= [tex]70[/tex]

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

hope it helps...

have a great day!!!

Answer:

∠U=70°

Step-by-step explanation:

hope it helps

Answer:

45 green candies did the cookie have.

the q3 is just above the median so

Step-by-step explanation:

its higher by 5

The slope of the line, given the point on the line and the y - intercept, is - 5. 33

The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.

The slope can be found in the slope - intercept formula form of :

y = mx + b

m is the slope

b is the y - intercept

We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:

6 = - 3 ( m ) + ( - 10 )

6 = - 3m - 10

- 3m = 6 + 10

- 3 m = 16

m = 16 / - 3

m = - 5. 33

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Answer: 70 cm

Step-by-step explanation: perimeter = 2*width + 2*length

408 = 2*width + 2*134

408 = 2*width + 268

Subtract 268 from both sides.

140 = 2*width

DIvide both sides by 2

Width = 70 cm

Answer:

The width of the rectangle is 70 cm

Step-by-step explanation:

Given,

To Find : The width of the rectangle

As we know, the formula to find the Perimeter of the rectangle is

[tex]P = 2(l+b)[/tex]

Now the Perimeter is given and the length

[tex]408 = 2(134 + b)[/tex]

Now using distributive property

[tex]408 = 268 + 2b[/tex]

[tex]408 - 268 = 2b[/tex]

[tex]140 = 2b[/tex]

[tex]\frac{140}{2} = b[/tex]

[tex]70cm = b[/tex]

Hence, the width of the rectangle is 70 cm

The table is filled as described , shown below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

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Answer:

[tex]x = \± 0.82[/tex]

[tex]y =-3.18 \ or\ -4.82[/tex]

Step-by-step explanation:

Given

[tex]y = 3x^2 + x - 6[/tex]

[tex]y = x -4[/tex]

Required

The solution

First, we equate both expressions.

[tex]y = y[/tex]

[tex]3x^2 + x - 6 = x - 4[/tex]

Subtract x from both sides

[tex]3x^2 - 6 = - 4[/tex]

Add 6 to both sides

[tex]3x^2 = 2[/tex]

Divide both sides by 3

[tex]x^2 = 0.667[/tex]

Solve for x

[tex]x = \± \sqrt{0.667[/tex]

[tex]x = \± 0.82[/tex]

To solve for y, we have:

[tex]y = x -4[/tex]

This gives

[tex]y = \± 0.82 - 4[/tex]

Split

[tex]y = 0.82 - 4 \ or\ -0.82 - 4[/tex]

[tex]y =-3.18 \ or\ -4.82[/tex]

On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

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Answer:

A

Step-by-step explanation:

The formula to find the perimeter of a rhombus is p=4a

and 4 times 1 2/3= 4 2/3