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morpeh [17]
3 years ago
15

A right triangle has a 30 degree angle. The side across from the 30 degree angle has a length is 100 inches. What is the exact l

ength of the other leg?
Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0

Answer:

100\sqrt{3}

Step-by-step explanation:

Remeber that a right triangle with a 30 degree leg is a 30-60-90 traingle, and a 30-60-90 triangle has the following properties.(Check Picture Below)

So since the other leg will be \sqrt{3} times more than the other leg, the exact length of the other leg in the triangle will 100\sqrt{3}

The picture is from Study.com, you can check there for more info on special triangles.

Hope this helped.

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What is 9% of 12.3?????
Zinaida [17]

Answer:

1.10

Step-by-step explanation:

6 0
3 years ago
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Which is greater? X + -6 or X + -2<br>​
irina1246 [14]
X is just a place holder so it really depends if you know what x is but for right now let’s say it’s 0
Ok so -6 is less than -2 so the larger the negative number is the less it is if that makes sense so the greater number is -2
So x+-2 is greater
3 0
3 years ago
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Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population o
artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*(1-0.06)^{n}

20=1500*0.94^{n}

20/1500=0.94^{n}

0.133=0.94^{n}

take log both sides

log(0.133)=log0.94^{n}-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

#SPJ10

8 0
2 years ago
R=8 P=7 R+P= PLZ im stuck <br>​
mihalych1998 [28]

Answer:

15

Step-by-step explanation:

The equation is just a plug in and solve. you have your given variables and all you have to do it plug them into the matching spot and solve

R=8   P=7

 8+7=15

7 0
3 years ago
A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable
Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = 1-0.44 = 0.56

P(B) = 1-0.57 = 0.43

P(AUB) = 0.68 =

0.56+0.43-P(A\bigcap B)\\P(A\bigcap B)=0.30

a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30

b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates

= P(A)-P(AB)+P(B)-P(AB)

=0.99-0.30-0.30\\=0.39

c) the probability that a randomly selected voter has an unfavorable view of at least one of these candidates

=P(A'UB') = P(AB)'

=1-0.30\\=0.70

3 0
3 years ago
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