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3 years ago

As part of his math assignment, Santos has to estimate the height

Mathematics

1 answer:

ycow [4]3 years ago

5 0

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

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A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to

Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

8 0

3 years ago

Simplify in fraction form<br> 60a+64≥80a−92

lukranit [14]

Answer:

a≤39/5

Step-by-steep explanation:

60a+64≥80a−92

Step 1: Subtract 80a from both sides.

60a+64≥80a−92

-80a -80a

−20a+64≥−92

Step 2: Subtract 64 from both sides.

−20a+64≥−92

-64 -64

−20a≥−156

Step 3: Divide both sides by -20.

−20a≥−156

a≤39/5

5 0

2 years ago

Please help me please

spayn [35]

Answer:

A. 34°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent
Inverse Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>

Opposite leg AC = 24

Adjacent leg CB = 35

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [Tangent]: $\displaystyle tanx^\circ = \frac{24}{35}$
Inverse Trig [Tangent]: $\displaystyle x^\circ = tan^{-1}(\frac{24}{35})$
Evaluate: $\displaystyle x = 34.439^\circ$
Round: $\displaystyle x \approx 34^\circ$

4 0

2 years ago

Find the volume of a cylinder with height 12 cm and diameter 7 cm.

Arada [10]

It would be 461.81cm^3

8 0

2 years ago

Please help with question 4A,B please<br> Thank you

mrs_skeptik [129]

<h3>Given</h3>

C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time

dr/dt for radius r
r at t=4 seconds

<h3>Solution</h3>

The circumference and radius of a circle are related by

... C = 2πr

so the radius in terms of circumference is

... r = C/(2π)

... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)

Then dr/dt is

... dr/dt = 0.2/π cm/s

And the radius at t=4 s is

... r(4) = (1/π)(20 + 0.2·4) cm

... r(4) = 20.8/π cm

4 0

2 years ago