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strojnjashka [21]
3 years ago
12

I need to know the surface area of both 1 and 2 please

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

1. 142 in.²

2. 190 cm²

Step-by-step explanation:

Both solids are rectangular prisms.

Surface area of a rectangular prism = 2(LW + LH + HW)

1. L = 7 in.

W = 3 in.

H = 5 in.

Plug ok the values into the formula

Surface area = 2(7*3 + 7*5 + 5*3)

= 142 in.²

2. L = 10 cm

W = 3 cm

H = 5 cm

Plug ok the values into the formula

Surface area = 2(10*3 + 10*5 + 5*3)

= 190 cm²

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Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest
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Answer:

0.66

Step-by-step explanation:

GIVEN: Suppose that in a certain county 37\% of voters are registered as Democrats, 29\% as Republicans, 7\% as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be 100x.

voters registered as Democrats =37\%=\frac{37}{100}\times100x

                                                     =37x

voters registered as Republicans =29\%=\frac{29}{100}\times100x

                                                       =29x

voters registered as Green party =7\%=\frac{7}{100}\times100x

                                                       =7x

Probability that first call will be to Democrats P(A)=\frac{\text{total democrats}}{\text{total voters}}

                                                                                    =\frac{37x}{100x}=0.37

Probability that first call will be to Republican P(B)=\frac{\text{total republicans}}{\text{total voters}}

                                                                                     =\frac{29x}{100x}=0.29

probability that the first call will be to either a Democrat or a Republican

=P(A)+P(B)

=0.37+0.29

=0.66

Hence the probability that the first call will be to either a Democrat or a Republican is 0.66

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The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties
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Please help me with this question.
Elanso [62]

Answer:

\frac{ \sin( x)}{ \cos(x) }  and \:  \frac{1}{ \cot(x) }

Step-by-step explanation:

x represents symbol 'theta';

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\frac{ \sin(x) }{cos(x) }  =  \tan(x)

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