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cluponka [151]
3 years ago
14

Example 15

Mathematics
1 answer:
koban [17]3 years ago
8 0

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

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Jenny has 63 grapes to put in a fruit salad but she only wants to add 40% of them to the Bowl how many grapes does she use for t
crimeas [40]
You multiply 63  by .40
You get 25.2, so 25 grapes
7 0
3 years ago
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How would you describe the slice that created the rectangular
Lena [83]

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

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3 years ago
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a. Determine all bijections from the {1,2,3} into {a,b,c}. b. Determine all bijections from {1, 2, 3} into {a,b,c,d}.
avanturin [10]

Part A

There are 6 bijections from {1,2,3} to {a,b,c}. This is effectively the same as asking the question "how many ways are there to arrange {a,b,c} where order matters?" We use a factorial to answer this question.

3 factorial = 3! = 3*2*1 = 6

You can also use a permutation, which is composed of factorials, to get the same answer.

======================================================

Part B

There are no bijections from {1,2,3} to {a,b,c,d}. Why is this? Because a bijection has two properties: it must be one-to-one, and it must be onto. The term "onto" in mathematics means "every value in the range is targeted". In the case of the range {a,b,c,d} it is not possible for each value to show up. This is because there are only three items in the domain {1,2,3}. You'll always be one letter short.

As you can probably guess, a bijection is only possible if and only if n(D) = n(R), where D and R are the domain and range respectively. The notation n(D) represents the count or number of items in set D.

3 0
3 years ago
Help <br><br> Don’t use for points or I’ll take it back
Vlada [557]

Answer:

68 degrees

Step-by-step explanation:

2 complementary angles make up a 90 degree angle.  

90 degrees - 22 degrees = 68 degrees

8 0
3 years ago
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Can someone help with this please? Will mark brainliest
snow_tiger [21]

Answer:

25 slugs

Step-by-step explanation:

If this is a physics-based problem, which it appears to be, then the formula for finding mass is

w = mg, where w is the weight, m is the mass, and g is acceleration due to gravity.  We have our weight and our gravity, so

800 = m(32) so

m = 800/32 and

m = 25 slugs

This answer does not include significant digits.  If it needed to, then your answer would be 30 slugs.  

7 0
3 years ago
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