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Lesechka [4]
3 years ago
5

Find the distance around a rectangle with width of 8 and a length of 29

Mathematics
2 answers:
madam [21]3 years ago
8 0

Answer:

74

Step-by-step explanation:

hope it helps

jekas [21]3 years ago
4 0

Answer:

74

Step-by-step explanation:

Distance of rectangle=h+w+h+w or 2h+2w

=2*8+2*29

=16+58

=74

Hope it's helpful to you

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Triangle ΔABC has side lengths of a = 18, <img src="https://tex.z-dn.net/?f=b%3D18%5Csqrt%7B3%7D" id="TexFormula1" title="b=18\s
ozzi

The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

<h3 /><h3>What is the law of cosine?</h3>

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

Triangle ΔABC has side lengths of a = 18, b=18√3  and c = 36 inches.

  • Part A: Determine the measure of angle A

Put the value, in the cosine law, the measure of angle A.

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\

  • Part B: Show how to use the unit circle to find tan A

Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,

\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}

  • Part C: Calculate the area of ΔABC.

Use the following formula to find area of ΔABC.,

A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2

Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

Learn more about the law of cosine here;

brainly.com/question/4372174

#SPJ1

7 0
2 years ago
4. Builtrite D is considering the purchase of a new machine for $500,000 which would require a $5000 installation charge. Employ
Paraphin [41]

Answer:

Builtrite D should purchase the machine

Step-by-step explanation:

Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)

Cash outflow in year zero = $ 555,000

Terminal cash flow in year 10  = $ 150,000 + $ 30,000 ( NWC)

Terminal cash flow in year 10  = $ 180,000

Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation

Net present value = -500,000 + \frac{116,000}{1.15^1} + \frac{116,000}{1.15^2} +...+ \frac{180,000}{1.15^{10}}

The Net present value of purchasing the machine = $32,071.42

Builtrite D should purchase the machine

3 0
3 years ago
Need help with this asap
valentina_108 [34]

Answer: the first one is exponential and the second one is function

6 0
2 years ago
15 - 1/2 x 2 equals 14, but i dont know the steps
zloy xaker [14]
Remember PEMDAS - parentheses, exponents, multiply, divide, add, subtract

because multiply come before subtract, your first step would be 1/2 x 2 = 1

next, you subtract -> 15 - 1 = 14

14 is your answer
3 0
2 years ago
Help me with 26 ASAP <br> Please show work<br> Random Answers will be moderated! Thanks :)
vfiekz [6]
First, convert the distance of a typical marathon to kilometers.
1 mi = 1.609 km
26.2 miles = 42.165 km

Divide this distance by Allan's average speed to get his average time.

42.165 km / 12 km/hr = 3.514 hours
4 0
3 years ago
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