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xeze [42]
3 years ago
6

if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t

he nearest tenth

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

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A price is decreased by 24% and is now £372.40.<br>Work out the original price.​
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Subtract the discount from 100 to get the percentage of the original price.

Multiply the final price by 100.

Divide by the percentage in Step One

5 0
3 years ago
At 1:00 pm the water level in a pool is 13 inches. At 1:30pm the water level is 18 inches. At 2:30pm the water level is 28 inche
SashulF [63]
From the given question we come to know of certain number of facts and they are:
At 1:00 PM the water level of the pond was = 13 inches
At 1:30 PM the water level of the pond was = 18 inches
At 2:30 PM the water level of the pond was = 28 inches
From the above given facts we can easily find the amount of water changing every half an hour.
Amount of increase in water from 1:00PM to 1:30 PM = (18 - 13) inches
                                                                                       = 5 inches
Amount of increase in water level from 1:30PM to 2:30PM = (28 -18) inches
                                                                                             = 10 inches
From the above two deductions we can come to the conclusion the the constant rate of change in water level is 5 inches for every half an hour.
4 0
3 years ago
Read 2 more answers
3x + 9b + 5ax + 15ab​
Irina-Kira [14]

Answer:

(x + 3b)(3 + 5a)

Step-by-step explanation:

Assuming you require the expression factorised.

Given

3x + 9b + 5ax + 15ab ( factor the first/second and third/fourth terms )

= 3(x + 3b) + 5a(x + 3b) ← factor out (x + 3b) from each term

= (x + 3b)(3 + 5a) ← in factored form

7 0
4 years ago
Washington elementary has 4,358 students.jefferson high schol has 3 times as many students as washington elementary.about how mn
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Jefferson High School has a population of 13,074.

8 0
3 years ago
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A sales person earns $80 for every computer he sells. He earns an additional $250 for every 10 computers he sells that month. Ho
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Answer

23 computer

Step-by-step explanation:

if he sold 20 computers he would make 2100 which then he would need 240 more dollars to reach his goal and to find the answer you would then divide 240 by 80.

4 0
3 years ago
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