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Kryger [21]
3 years ago
6

If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0
Tan(theta) = 5/4
sin(theta)/cos (theta)=5/4
cos(theta)=4sin(theta)/5
sin²(theta)+cos²(theta)=1
sin²(theta)+16sin²(iheta)/25=1  /*25
25 sin²(theta)+16 sin²(theta)=25
sin²(theta)=25/41    /√
sin(theta)=\frac{-5 \sqrt{41} }{41}
cos(theta)=\frac{-4 \sqrt{41} }{41}
cot(theta)=\frac{4}{5}
csc(theta)=1/sin(theta)=\frac{- \sqrt{41} }{5}
sec(theta)=1/cos(theta)=\frac{- \sqrt{41} }{4}

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Answer:

y=350x+125

Step-by-step explanation:

y=350x+125

6 0
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in 2019 there were 16 named storms, of which 8 grew into hurricanes and 5 were major. What fraction of hurricanes were major?
olga2289 [7]
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5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.

How to find the percentage conversion:

Step 1: We take the fraction 5/16.

Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.

5 x 100 = 500

Step 3: We can divide 100 by 16 to get our decimal conversion.

100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.

Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.
6 0
2 years ago
b. Interpret the Rsquared value. Does the multiple regression equation help us predict the total golf score much better than we
Veseljchak [2.6K]

Answer:

Depending upon the golf score predictors we can conclude the answer from given Conditional statements

If Someone want Total golf score better then, following .condition

Yes, Because R squared is close to 1 .  ....(If Regression values are prefect to fit with model then only)

<em>(But the data is not sufficient to say 100%, it depends on score given)</em>

Step-by-step explanation:

Given :

Explanatory Question on r-squared in regression.

To Find :

Does regression equation help us to know total golf score much better.

Solution;

As  in Question there is no golf score given so we cant see "yes" or "no".

But we can be conditional here ,

1) If golf score to be accurate then , multiple regression predict points should fit the model prefect ,hence the R squared value "<em>must be close to 1</em>" .

2) If gold score is not accurate then multiple regression   suggest that model does  not explain any variables, no linear relationship.

then r squared value <em>"must not be close to 1".</em>

Depending upon the golf score predictors we can conclude the answer from given Conditional statements.

that  Yes, Because R squared is close to 1 .

7 0
3 years ago
Factor this expression: 12 + 20
liberstina [14]

Answer:

<h2>12 + 20 = 4 × (3 + 5)</h2>

Step-by-step explanation:

12 = 4 × 3

20 = 4 × 5

12 + 20 = 4 × 3 + 4 × 5 = 4 × (3 + 5)

5 0
3 years ago
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete
ladessa [460]
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I hope this helped!

I am, yours most sincerely,
SuperHelperThingy
7 0
3 years ago
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