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stepladder [879]
3 years ago
12

Please help me sec theta - cos theta= sin^2 theta/ cos theta​

Mathematics
2 answers:
inn [45]3 years ago
6 0

Answer:

Taking LHS

=1 by cos theta- cos theta

= (1- cos²0)/ cos0

= sin²0/ cos0 ( because 1-cos²0 is also equals to sin²0)

=RHS hence proved

kotykmax [81]3 years ago
3 0

Answer:

Step-by-step explanation:

Let theta be β.

So,

sec\beta - cos\beta = \frac{sin^2\beta }{cos\beta } \\=>\frac{1}{cos\beta } - cos\beta = \frac{1 - cos^2\beta }{cos\beta } \\=>\frac{1 - cos^2}{cos\beta } = \frac{1 - cos^2\beta }{cos\beta }

Here , identity used = sin^2\beta + cos^2\beta = 1

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Sally needs 1 3/4 yards of fabric to make a dress. She has 4 5/8 yards. How many yards of fabric will be left over?
Sophie [7]
Hey there,

Solution:
Fabric needed = 1 3 / 4
Fabric she has = 4 5 / 8
1 3 / 4 - make the denominator into 8
1 3 / 4 = 1 6 / 8
Fabric left = 4 5 / 8 - 1 6 / 8
                = 37 / 8 - 14 / 8 
                = 23 / 8
                = 2 7 / 8

Hope this helps :))

<em>~Top♥</em>
4 0
3 years ago
Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (
saw5 [17]
The amount he pays is the number of shirts times 3 / 2 (or 1.5) 
unless the equation is f=3/(2s) where the cost would then be the number of shirts times two, divided by three
7 0
3 years ago
Read 2 more answers
How many gallons are in 48 pints?
vlabodo [156]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help I have no clue how to do this​
Alinara [238K]

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

5 0
3 years ago
] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0
3 years ago
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