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Airida [17]
2 years ago
8

∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?

Mathematics
2 answers:
sergiy2304 [10]2 years ago
4 0
As the angles are complementary sin A = cos B and  sin B = cos A

so sin A + sin B =  0.55 + 0.83 =  1.38
MissTica2 years ago
3 0

Answer:

sin(A)+sin(B)=1.38

Step-by-step explanation:

Let

A, B and 90\° the measures of the angles in a right triangle

we know that

m ------> by complementary angles

so

sin(A)=cos(B)

sin(B)=cos(A)

In this problem we have

cos(A)=0.83

cos(B)=0.55

therefore

sin(A)=0.55

sin(B)=0.83

sin(A)+sin(B)=0.55+0.83=1.38

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An experiment is carried out 400 times.
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Answer:

You would expect the outcome to be void 240 times

Step-by-step explanation:

1000 x 0.24

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An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns
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20p - 60 = 20p - 3*20 = 20(p-3)
4 0
1 year ago
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Including Jose, there are eight people in his family.
SIZIF [17.4K]

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

So the correct answer is:

840

7 0
2 years ago
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The following table shows last year's revenue for each Herman's Hoagies location.
SOVA2 [1]

Answer:

The revenue for Granton location is 175 thousand dollars

Step-by-step explanation:

Given

Cedarton 121

Rimber 189

Linton 147

Mean = 158

Required

Revenue for Granton location.

To calculate the revenue for Granton location, we make use of mean formula.

Mean is calculated by Summation of Observation divided by number of observations.

Since Granton location is unknown; Let it be represented by letter G.

So, the summation of observation becomes 121 + 189 + 147 + G

Summation = 457 + G

The number of observations = 4

Recall that Mean = Summation ÷ Number

By substituting 158 for mean, 457 + G for summation and 4 for number, we have

158 = (457 + G) ÷ 4

158 = ¼(457 + G)

Multiply both sides by 4

4 * 158 = = 4 * ¼(457 + G)

632 = 457 + G

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Hence, the revenue for Granton location is 175 thousand dollars

8 0
2 years ago
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Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably in- finite, exh
mrs_skeptik [129]

Answer:

a) the negative integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = -n

b) the even integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 2n

c) the integers less than 100 set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 100 - n

d) the real numbers between 0 and 12 set A is uncountable.

e) the positive integers less than 1,000,000,000 set A is finite.

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   one-to-one correspondence with the set of positive integers:

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Step-by-step explanation:

A set is finite when its elements can be listed and this list has an end.  

A set is countably infinite when you can exhibit a one-to-one correspondence between the set of positive integers and that set.

A set is uncountable when it is not finite or countably infinite.

8 0
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