Given the following triangle, if c = 18.6 and m B = 43°, find the length of BC (side a) to the nearest whole number.

Answers

Answer 1
Answer:

Answer:

= 14

Step-by-step explanation:

Given a right angled triangle with hypotenuse length c =18.6 and ∠B = 43°.

We can use the trigonometric forms of a right angled triangle,

That is;

Cos 43 = Adjacent/Hypotenuse

That is;

Cos 43 = BC/AC = a/c

Therefore;

Cos 43 = a/18.6

a = 18.6 × cos 43

   = 13.603

   = 14

Therefore, BC or a is 14 (to the nearest whole number)


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Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

Answers

Well, there are x amounts of white flower and 6 cups of wheat flower.

So the total flower is x+6

Given that y is the total, the equation you would use is:
y=x+6

The constraints are as follows:
y can only be \geq 6

And if y=0, x would have to be -6 (which is impossible) 

Final answer:

The equation representing the total amount of flour Otto used in his recipe is y = 6 + x. Here, x and y should be non-negative real numbers, and y will always be at least 6.

Explanation:

The total amount of flour that Otto used in his recipe is represented by the equation y = 6 + x, where x is the quantity of white flour used, and 6 is the amount of whole wheat flour used. This equation comes from the concept of sum in mathematics, where we combine or add up different quantities to get a total.

The constraint on the value of x (the amount of white flour) is that it must be a "non-negative real number". This is because, in real-life context, it's not possible to use a negative amount of something. Similarly, y (the total amount of flour) must also be a non-negative real number and must be at least 6 (since we always have 6 cups of whole wheat flour in the recipe).

Learn more about Mathematical Sum & Constraints here:

brainly.com/question/32631981

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Simplify the expression
4r-7r +8+ r

Answers

Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair

Answers

Just add 25 minutes. That's because they boarded at 3:55 and took 25 minutes to just go to the fair. So in 25 more minutes they got to the fair! so it would be 4:20 when they got to the fair.
Do:

3.55 - 0.25 - 1.15 = 2.15 hs

They arrived at fair the 2.15 hs

Wheels are 1.25 inches in diameter covert the wheels diameter to feet

Answers

Wheels are 1.25 inches in diameter covert the wheels diameter to feet For this process to take place or in order to convert the said measurement to another such as inches to feet, we first have to determine the conversion values for the units asked. Thus,
1.  
1 in = 0.0833333 foot


Solution.
a.  
1.25 in x 0.0833333 ft / 1 in =  0.1041667 ft




Answer:

0.1041667 (approximation)

Step-by-step explanation:

divide that by 12

I need help with this one

Answers

Answer:

9

Step-by-step explanation:

93808.57316 rounded to the nearest ten thousand is 90000

Answer:

9

Step-by-step explanation:

What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?1.) 13,300
2.) 4,192.16
3.) 1,457.68
4.) 17,492.16

Answers

To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:


$13,300/$100 = 133


Now we simply multiply the result by $2.74:


$2.74*133 = $364.42.


Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).


$364.42*(12*4) ---> $364.42*48 = $17,492.16.


The correct answer is choice 4.) 17,492.16


I hope this helps, Regards.

Answer:

17,492.16

Step-by-step explanation: