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3 years ago

8

On a scale drawing with a scale of 1cm=0.75m the height of a tree is 6.5 cm how tall is the actual tree?

1 answer:

tigry1 [53]3 years ago

7 0

X=real height of the tree
1 cm / 0.75 m=6.5 cm / x
x*1cm=0.75 m*6.5 cm
x=(0.75 m*6.5 cm) / 1 cm=4.875 m

therefore: the real height of a tree is 4.875 m,

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A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee

Mekhanik [1.2K]

The figure is composed of 2 shapes. A rectangle and a right triangle.

Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²

Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²

Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²

Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²

248,090 ft² * 1acre/43,560 ft² = 5.695 acres

7 0

3 years ago

Help me with #5 pleaseeeeeeeeeee

earnstyle [38]

Answer:

$\angle 1 = 45$ degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

$60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108$

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

$14x+9+\angle 1=180\\14x + \angle 1=171$

Or we can write this as:

$14x + \angle 1=171\\\angle 1 = 171 - 14x$

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

$7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9$

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

$\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45$

6 0

2 years ago

A circle has a sector with area 27 and central angle of 120

Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

$A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi$

Hence, the area of the circle is 81π

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3 years ago

What polynomial function has the zeros -3,1,5

natka813 [3]

Answer:

x³ - 3 x² - 13 x + 15 = 0

Step-by-step explanation:

Basically you can create three factors like this:

(x+3)(x-1)(x-5)=0

That will each represent one zero.

Work it out and you get x³ - 3 x² - 13 x + 15 = 0

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3 years ago

I need help with math

Iteru [2.4K]

area = pi times radius squared

area = pi times 5 squared

area = pi times 25

area = 78.54

answer : 78.54 square feet

4 0

1 year ago