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trapecia [35]
3 years ago
8

At the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken. How much did

these three items weigh altogether?
Mathematics
1 answer:
mart [117]3 years ago
4 0

Answer:

3.82 pounds.

Step-by-step explanation:

We have been given that at the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken.

To find the total weight of three items, let us add 1.02, 1.6 and 1.2.

\text{The total weight of three items}=1.02+1.6+1.2

\text{The total weight of three items}=3.82

Therefore, three items weigh 3.82 pounds altogether.


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Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).
fomenos

Answer:

  204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

  cos(A) = √(1 -sin²(A)) = 24/25

  sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

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cos(A -B) = 204/325

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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

  cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

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  325·cos(A-B) = 204

so, the exact value is ...

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