2ab x cos (C) = 7 because
a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos (C) = 7
Answer:
If a box is supposed to contain 18 ounces, and the acceptable error is 1 ounce, then the acceptable range is:
18 oz - 1oz = 17oz to 18oz + 1oz = 19oz
Then the acceptable range is (17oz, 19oz)
if the weight is smaller than 17 oz, the box is not acceptable.
If the weight is bigger than 19 oz, the box is not acceptable.
Then the graph of the boxes that can not be sold as full boxes is:
<---16---------17-------18--------19-------20----------->
where 17oz and 19oz are not included, because are acceptable weigths.
Answer:
a) 1 tsp.
b) 1.5 tsp.
c) 2 tsp.
Step-by-step explanation:
Complete Correct Question
Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a) a 18 kg adult dog (b) a 6 kg cat (c) 18 kg pregnant dog
- The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
- The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
- The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
Solution
a) 18 kg adult dog
The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
9 kg dog weight = (1/2) tsp
18 kg adult dog = (18/9) × (1/2) = 1 teaspoon.
b) 6 kg cat
The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
1 kg cat = (1/4) tsp
6 kg cat = (6/1) × (1/4) = (6/4) = 1.5 teaspoons.
c) 18 kg pregnant dog
The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
4.5 kg dog weight = (1/2) tsp
18 kg pregnant dog = (18/4.5) × (1/2) = 2 teaspoons.
Hope this Helps!!!
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

Here

Generally 
So
=>
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

and

So
So

=> 
Answer:
The cost of a box of crackers is $2.25.
Step-by-step explanation:
Let the cost of a containers of yogurt is $x and cost of a box of crackers is $y.
It is given that Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55.
.... (1)
She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90.
.... (2)
On solving (1) and (2), using graphing calculator, we get


Therefore the cost of a box of crackers is $2.25.