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Zina [86]
4 years ago
8

What is the theorem for trigonometry?

Mathematics
1 answer:
lawyer [7]4 years ago
8 0
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions.
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involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o
ivolga24 [154]

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)=\frac{10}{14}\frac{9}{13}=0.4945

Only the second apple is red:

P(Y∩R)=\frac{4}{14}\frac{10}{13}=0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)=\frac{4}{14} \frac{3}{13}=0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

8 0
4 years ago
Read 2 more answers
Part C: Find the distance from B to E and from P to E. Show your work. (4 points)
garri49 [273]

Answer:

BE = 294.23 ft

PE = 259.62 ft

Step-by-step explanation:

Quadrilateral CPRG is a parallelogram.

CP || GR

In triangles BCG and BPE

\angle BCG \cong \angle BPE  (Alternate \: \angle 's) \\\angle GBC \cong \angle EBP  (Vertical \: \angle 's) \\\therefore \triangle BCG \sim \triangle BPE  (AA \: postulate) \\\\\therefore \frac{BE}{BG}  =\frac{PE}{GC} =\frac{BP}{BC}...(csst)\\\\\therefore \frac{BE}{425}  =\frac{PE}{375} =\frac{225}{325}\\\\\therefore \frac{BE}{425}  =\frac{PE}{375} =\frac{9}{13}\\\\\therefore \frac{BE}{425} =\frac{9}{13}\\\\BE =\frac{9\times 425}{13}\\\\BE =\frac{3,825}{13}\\\\BE = 294.23\: ft \\\\\&\\\frac{PE}{375} =\frac{9}{13}\\\\PE =\frac{9\times 325}{13}\\\\PE =\frac{3,375}{13}\\\\PE = 259.615385 \\\\PE = 259.62 \: ft\\\\

7 0
3 years ago
What is 6x3/7 as a mixed number?
Anastaziya [24]
<span>6x3/7
6 x 3=18\7
answer=2 4\7</span>
6 0
3 years ago
Create a proportion using the form %/100=is/of to represent the following word problem. 78% of what number is 42?
Digiron [165]
First 42/78% to get 1% then multiply the number by 100% to get around 53 11/13
6 0
3 years ago
6(x+7)x=9<br><br> A.12<br> B.42<br> C.96<br> D.16<br><br> Please work out the problem.
marin [14]
X = -\frac{7}{2} + \frac{1}{2}  \sqrt{55} or x = -\frac{7}{2} + -\frac{1}{2} \sqrt{55}
4 0
3 years ago
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