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3 years ago

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.

Mathematics

2 answers:

Julli [10]3 years ago

4 0

Check the picture below.

In-s [12.5K]3 years ago

4 0

A) You can find the length of the side of the lot opposite the 60° angle (which we will call "x") as below:

Tan(α)=Opposite/Adjacent

α=60°
Opposite=41 feet
Adjacent=x

When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

Tan(60°)=x/41
(41)Tan(60°)=x
x=41√3
x=71.01 feet

B) Now, you can find the length of the hypotenuse:

Cos(α)=Adjacent/Hypotenuse

α=60°
Adjacent=41 feet
Hypotenuse=y

When you substitute these values into Cos(α)=Adjacent/Hypotenuse, you obtain:

Cos(60°)=41/y
yCos(60°)=41
y=41/Cos(60°)
y=82 feet

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One week John earned three times as much as Alex earned mowing lawns. If they earned $48 altogether,how much did each one earn

Allisa [31]

Answer:Alex earned $12

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Step-by-step explanation:

j=3a

a+3a=48

4a=48

a=48/4

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3 years ago

Please answer asap thanks

mylen [45]

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3 years ago

Find the missing sides from the right-angled triangled given below

umka21 [38]

Answer:

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Step-by-step explanation:

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2 years ago

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The N71-90 virus will give an infected person a mild rash on their arms once the person has 1 billion of the virus cells in thei

Naya [18.7K]

Answer:

B. 256

Step-by-step explanation:

Given function:

v(h) = 2^(h/4)

It can be rewritten as:

v(d) = 2^d, where d- number of divisions

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v(8) = 2^8 = 256 virus cells

Correct choice is B

4 0

3 years ago

Read 2 more answers

Please help!

Paraphin [41]

#1) A
#2) E
#3) C
#4) 0.5840
#5) 0.6945
#6) 0.4911
#7) D
#8) G
#9) 0.4375
#10) 0.5203

The formula we use for this is
$v_w=f\lambda$ ,
where $v_w$ is the speed of sound, f is the frequency (or pitch) of the note, and λ is the wavelength.

#1) 0.77955f = 343

Divide both sides by 0.77955:
0.77955f/0.77955 = 343/0.77955
f = 439.997 ≈ 440. This is the pitch for A.

#2) 0.52028f = 343
Divide both sides by 0.52028, and we get f = 659.260. This is the pitch for E.

#3) 0.65552f = 343
Divide both sides by 0.65552, and we get f = 523.25. This is the pitch for C.

#4) 587.33λ = 343
Divide both sides by 587.33 and we get λ = 0.583999 ≈ 0.5840.

#5) 493.88λ = 343
Divide both sides by 493.88, and we get λ = 0.6945.

#6) 698.46λ = 343
Divide both sides by 698.46 and we get λ = 0.49108 ≈ 0.4911.

#7) 0.5840f = 343
Divide both sides by 0.5840 and we get f = 587.3288 ≈ 587.33. This is the pitch for D.

#8) 0.4375f = 343
Divide both sides by 0.4375 and we get f = 784. This is the pitch for G.

#9) 783.99λ = 343
Divide both sides by 783.99 and we get λ = 0.4375.

#10) 659.26λ = 343
Divide both sides by 659.26 and we get λ = 0.52028 ≈ 0.5203.

6 0

3 years ago