A unit rate is a special type of ratio (also called a single-unit rate). It will compare 1 unit of some quantity to a different number of units of a different quantity. Any ratio that is not a unit rate can be turned into one.

4 0

3 years ago

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A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degre

ladessa [460]

The height of the triangle is 8root3 meters.

We have given that,

A tree breaks due to a storm and the broken part bends,

So that the top of the tree touches the ground making an angle of 60 degrees with the ground.

The distance between the feet of the tree to the point where the top touches the ground is 16m.

Let the Height of the Tree =AB+AD

and given that BD=8 m

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.

Now, in △ABD

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the same triangle

$tan(30)=AB/BD\implies 8/\sqrt{3}$

<h3>What is the height of the triangle?</h3>

Height of the tree=AB+AD

$=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }$

$=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m$

Therefore the height of the triangle is 8root3.

To learn more about the height visit:

brainly.com/question/12903285

#SPJ1

4 0

3 years ago

Please help I need the answer with the explanation now<br>Thank you:)

gogolik [260]

Answer:

1) x+2x+x+3 = 23

4x+3=23

4x=20

x=5

2) a_ radius × radius × pi = the area

4×4×3= 48

b_ diameter × pi= the circumfrence

8×3 = 24

3) a) 34_10=24

24÷3=8

b) _24_(_48)= 24

4) a) 2x=9_5

2x=4 => x=2

b)X/3 =12

x= 36

5) x. _2.

y. 3_(_2)=5

x. 0

y. 3_0=3

x. 3

y. 3_3=0

i put them here too

5 0

3 years ago

Pls help I’m failing math

MrRa [10]

Answer:

y = 3/7+0

Step-by-step explanation:

This is what I got, hope this helps.

3 0

3 years ago