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Triss [41]
3 years ago
6

Find the circumference of a circle with diameter 13 units.

Mathematics
2 answers:
laiz [17]3 years ago
5 0

Answer:

C≈40.84

Step-by-step explanation:

C = 2πR

Ostrovityanka [42]3 years ago
3 0

Answer:

Step-by-step explanation:

the circumference of a circle is : p= 2πr     r : ridus

the diameter d : d=2r

p= 2πr = 13×3.14=40.82 units

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1436cm =?m how many meters
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Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
olga2289 [7]

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

  • The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

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Write the tangent, cosine and sine ratios of angles X &amp; Y. Write each answer as a (reduced) fraction. Not a decimal.
Alisiya [41]

The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

<h3>What are the trigonometry ratios?</h3>

For a right angle triangle, the trigonometry ratios can be given as,

\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}

Here, <em>a</em> is base side<em>, b</em> is perpendicular side and<em> c</em> is the hypotenuse side of the triangle.

In the given triangle, the length of base side<em> </em>is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.

a=8\\b=6\\c=10

Thus, the  tangent, cosine and sine ratios of angles X & Y are,

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6 0
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URGENT ANSWER NOW In △ABC, A=59∘, a=20, and c=21. What are the two possible values for angle C to the nearest tenth of a degree?
PilotLPTM [1.2K]

Answer:

The two possible values of C are 64.2° and 115.8°

Step-by-step explanation:

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠A = 59°

- a = 20

- c = 21

* To find the distance m∠C we can use the sin Rule

- In any triangle the ratio between the length of each side

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* Lets use it to find the m∠C

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∴ sin(C) = 21 × sin(59) ÷ 20 = 0.9000256657

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∴ m∠C = 64.2°

∵ The value of sin(C) is positive

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∴ The other measure of ∠C = 180 - 64.2 = 115.8

* The two possible values of C are 64.2° and 115.8°

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3 years ago
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