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sammy [17]
3 years ago
12

Please help this is due soon!!

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Answer:

The cosine of A is equal to \frac{3\sqrt{58}}{58}\\

Step-by-step explanation:

Cosine is is calculated as adjacent over hypotenuse.  The line adjacent to A  is 3 in length.

So we can say that the cosine is equal to 3/√58, but need to multiply it by √58 / √58 to ensure we have a non-radical denominator

A = \frac{3}{\sqrt{58}}\\A = \frac{3\sqrt{58}}{58}\\

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Hello!

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A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is
Digiron [165]
5*0.6=3
3*0.6=1.8
1.8*0.6=1.08

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8 0
3 years ago
Read 2 more answers
Jessi has 9 feet of blue fabric. She need one third of that amount in red fabric. The fabric store sells fabric by the yard. How
Leokris [45]

Answer:

1 yard

Step-by-step explanation:

Let b represent the amount of blue fabric and r represent the amount of red fabric.

Given;

Jessi has 9 feet of blue fabric

b = 9 ft

She need one third of that amount in red fabric.

r = 1/3 × b

Substituting the value of b;

The amount of red fabric needed r is;

r = 1/3 × 9 = 3 ft

Since they sell in yards , we need to convert it to yards.

1 yard = 3 feets

Therefore,

r = 3 ft × 1/3 yard per ft

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4 0
3 years ago
Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies
pishuonlain [190]

Answer:

a) 0.623 (62.3%)

b) 0.764 (76.4%)

c) 0.6 (60%)

Step-by-step explanation:

a) defining the event F= the product is favorable , then the probability is

P(F) = probability that the study was sponsored by food industry * probability that the product is favorable given that it was sponsored + probability that the study had no corporate ties * probability that the product is favorable given that it was not sponsored = 0.70 * 0.68 + 0.30 * 0.49 = 0.623

b) for conditional probability we use the theorem of Bayes , then defining the event S= the study was sponsored by the food industry , we have:

P(S/F)=P(S∩F)/P(F)= 0.70 * 0.68/0.623 = 0.764 (76.4%)

where

P(S∩F)=probability that the study was sponsored by food industry and the product was found favorable

P(S/F)=probability that the study was sponsored by food industry given that the product was found favorable

c) for U= the product was found unfavourable , doing the same procedure as in a)

P(U)= 0.70 * 0.10 + 0.30 * 0.35 = 0.175

and the corresponding conditional probability is

P(N/U)=P(N∩U)/P(U)= 0.30 * 0.35 / 0.175 = 0.6 (60%)

where N represents the event = the study had no industry funding

3 0
3 years ago
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