What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer to the nearest tenth?

Answers

Answer 1

Answer: For this case, using the law of cosine we have:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)
Substituting values we have:
c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)
Clearing c we have:
c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))
c = 14.33216827
round the answer to the nearest tenth:
c = 14.3
Answer:
the length of side c is:
c = 14.3

Answer 2

Answer:

Answer:

D) 14.3

Step-by-step explanation:

got it right on edge :)

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What is the greatest number which can be made using each of the digits 5,3,1,4,7?

Answers

Answer=75,431

Ordering the numbers given from greatest to least gives you the highest possible solution.

the answer for this question is 75431

A man buys 12.50kg of one of rice for £30 per kg and £67.90 per kg. If he mixes them and makes packets, each containing 3450g of rice, how many packets of rice are there and what is the cost of each packet?

Answers

Answer:

a. The number of packets the two bags/brands of rice can be repackaged to = 7 packets.

b. Cost of one packet is £174.82

Step-by-step explanation:

Please kindly see the attached files for explanation.

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.What does the average rate of change of f(x) from x = 1 to x = 4 represent, options AWhat does the average rate of change of f(x) from x = 1 to x = 4 represent?
options: The water travels an average distance of 3 feet from 1 second to 4 seconds.
The water travels an average distance of 2 feet from 1 second to 4 seconds.
The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
The water rises up with an average speed of 2 feet per second from 1 second to 4 seconds.

Answers

$f(x)=-x^(2) +8x+2$
Average rate of change from x = 1 to x = 4 = $(f(4)-f(1))/(4-1)= (( -4^(2)+8(4)+2)-(- 1^(2)+8(1)+2))/(3)= ((-16+32+2)-(-1+8+2))/(3)= (18-9)/(3)=$ $(9)/(3)=3$

This means that the water rises up with an average speed of 3 feet per second from 1 second to 4 seconds

Answer:

C. The water rises an average of 3 feet per second from 1 to 4 seconds

Step-by-step explanation:

I got it correct on the test

What is the sum of 3 sixteen and 2 nines

Answers

16+16+16+9+9=32+16+9+9=48+9+9=57+9=66

The answer is 66

66 we can do like this to
16+16+16=48 then 48+9=57 then 57+6=66
got it or not

What is the value of x in the equation 25x2 = 16?

Answers

Answer:

The answer is

$x=(+/-)(4)/(5)$

Step-by-step explanation:

we have

$25x^(2)=16$

Solve for x

Divide by $25$ both sides

$25x^(2)/25=16/25$

$x^(2)=16/25$

Square root both sides

$x=(+/-)\sqrt{(16)/(25)}$

$x=(+/-)(4)/(5)$

25x2 = 16
x^2 = 16/25
x^2 = 4^2/5^2
x = 4/5

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buy bottles by case to get a good price.Each case holds 24 bottles.How many cases will she to have to buy if she wants to have a total of 160 bottles of water??.

Answers

She will have to get 6 cases of water.

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