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anastassius [24]
3 years ago
5

Help please! thanks! Find the length of AB A. 2.89 B. 33.13 C. 378.63 D. 377.19

Mathematics
1 answer:
Naddik [55]3 years ago
8 0
<h3>Answer:  29 miles (approximate)</h3>

======================================================

Explanation:

Segment AB is already given to be 19 miles long.

I'm assuming your teacher meant to ask about side BC, which is side 'a' since it's opposite angle A.

Use the law of cosines to find the missing side

a^2 = b^2 + c^2 - 2*b*c*cos(A)

a^2 = 12^2 + 19^2 - 2*12*19*cos(138)

a^2 = 843.874040417691

a = sqrt(843.874040417691)

a = 29.0495101579647

a = 29 when rounding to the nearest whole number

Side BC is roughly 29 miles long.

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jek_recluse [69]

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

8 0
3 years ago
Consider two people being randomly selected. (For simplicity, ignore leap years.)
inna [77]

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

7 0
3 years ago
Calculate the area of a regular octagon if the radius is 10 cm long.
charle [14.2K]

Answer:

Area is A≈282.8 cm  

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Josh borrowed $50,000 from the bank to buy a new truck. The bank is going to charge him an interest rate of 6.9%. If his loan la
Neko [114]

Answer:

<em>The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>

Step-by-step explanation:

The formula for calculating simple interest is expressed as;

SI = Principal * rate * time/100

SI = 50,000 * 6.9*39/100*12

SI = 500*6.9*39/12

SI = 134,550/12

SI = 11,212.5

<em>Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>

P is the amount borrowed

R is the interest rate

T is the time in years

8 0
3 years ago
31.8 dived 0.58 answer
Charra [1.4K]

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

5 0
3 years ago
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