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3 years ago

Why is 0.8 and 0.80 named the same?

2 answers:

3 0

0.8 and 0.80 are named the same because both of them numbers have an 8 in the tenths place and a zero in the hundredths place. No matter how many zeros you add on to the end of the decimal, it does not change its value.

Bezzdna [24]3 years ago

3 0

Because 0.8 is only 10 away from 0.80

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

3 years ago

What is the LCD of 1/4a and 5/6a ? 12a 24a^2 12a^2 24a

faust18 [17]

1/(4a) & 5/(6a)

(3)(1/4a)=3/12a

(2)(5/6a)=10/12a

LCD=12a

8 0

3 years ago

Read 2 more answers

Amy walks from point B to point C along the segment BC. Fraser walks from point O to point A along the segment OA. Which stateme

torisob [31]

Based on the graph, point O is the center of the circle.
Segment BC is a chord of the circle that passes through point O, it is a diameter.
Segment OA is a radius of the circle.

The correct statement for this problem is:

<span>Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.</span>

3 0

3 years ago

Find X (Its a circle question, PLEASE HELP)

mario62 [17]

Step-by-step explanation:

Since angles in the same segment are equal, Angle ABC (x) = Angle AOC.

Since Angles AOC and COD are supplementary, Angle AOC = 180° - 130° = 50°

Therefore x = 50°.

7 0

3 years ago

Find the area of the triangle on the grid below.

Klio2033 [76]

Answer:

31.5 units²

Step-by-step explanation:

Area = ½*base*height

Height of the triangle on the grid = 9 units

Base = 7 units

Area = ½*9*7

Area = ½*63

Area = 63/2

Area = 31.5 units²

3 0

2 years ago