Triangle ABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C? A. 9/41 B. 40/9 C. 40/41 D. 9/40

Answer:

Total air in the tent =77×16=1232 m 3 (which is the total volume of tent) Since the tent is conical we will use some formula of cone: Volume= 31πr 2h ; Curved surface area=πrl l= slant height & r=7m Volume = 31πr 2h= 31π(7 2)h= 31 7227 2h= 3154h And we eknow that total volume is 1232m 3 So, 1232= 3154h h= 1541232×3=24m

Step-by-step explanation:

Final answer:

To solve this problem, we need to use the volume formula of a cone and equate it to the total volume of air needed by the 77 persons. Once we solve for the height, we can then determine the curved surface area of the cone using the radius and height.

Explanation:

This mathematics problem can be solved using the formula for the volume of a cone, which is given by V = 1/3 * π * r² * h where “r” stands for the radius of the base of the cone, “h” corresponds to the height, and “π” is a constant that roughly equals to 3.14. To accommodate 77 persons, with each person needing 16 m³ of air to breathe, the total volume necessary would be 77 * 16 = 1232 m³. Setting this equal to the volume of the cone formula and plugging in the given radius (r = 7 m), we solve for the height. Simultaneously, the curved surface area of a cone is given by A = π * r * l = π * r * sqrt((r²)+(h²)). We can evaluate both the height of the tent and its curved surface area applying these equations.

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Answer:

the right answer is:

• (A)

Step-by-step explanation:

You take the equations that the exercise give you:

1. x + y = 4
2. x - y = a

Now you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:

• x - y = a
• -y = a - x

   3. y =  x - a

And now, you'll replace this third equation in the equation you didn't take (the first in this case).

• x + y = 4
• x + (x - a) = 4
• x + x - a = 4

Add the x variables:

• 2x - a = 4
• 2x = 4 + a
• x = (4 + a) / 2

That's the answer of the exercise, but you can represent this in this form:

• x = (4 + a) / 2    ↔  

• x = (4 + a) / 2    ↔  

By this reason, the right answer is .

Answer:

x = 1.36

Step-by-step explanation:

Final answer:

To solve the equation '5(x-2 2/5)=-5.2', distribute the 5 across the (x-2 2/5) term, add 11 to each side, then divide by 5. This gives us x = 1.16.

Explanation:

The question is asking us to solve the equation 5(x-2 2/5)=-5.2 for x. To do this, we follow several steps:

1. First, we distribute the 5 across the (x-2 2/5) term. This gives us: 5x - 11 = -5.2
2. Next, add 11 to both sides of the equation in order to get the x term alone. This results in 5x = -5.2 + 11, which simplifies to 5x = 5.8
3. Lastly, we divide each side of the equation by 5 to solve for x. This leaves us with x = 5.8/5 = 1.16

Hence the solution to the equation is x = 1.16.

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Final answer:

Everett made 3/5 of his shots which is 36 made baskets out of 60 shots. We calculated this by multiplying 3/5 (the fraction of shots he made) by 60 (total number of shots) and simplified it to whole numbers.

Explanation:

The subject matter of this question is fraction multiplication, a fundamental topic in mathematics. To find out how many baskets Everett made, we must use multiplication of fractions and whole numbers. Since Everett made 3/5 of his shots and he shot 60 baskets, we need to multiply these two numbers together.

You would do this calculation: 3/5 * 60. Here's a step-by-step breakdown:

1. Temporarily ignore the denominator (5) and multiply the numerator (3) by 60. That's 180.
2. Then, divide this number by the denominator: 180 divided by 5. The result is 36.

Therefore, Everett made 36 baskets out of 60 shots.

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