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2 years ago

PLEASE HELP WORTH 50 POINTS

Mathematics

1 answer:

VashaNatasha [74]2 years ago

5 0

Answer:cos( A + B ) = cosAcosB - sinAsinB ;

cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Step-by-step explanation:

You might be interested in

you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t

katrin2010 [14]

We can form a system of equations:
x*y=90
and
x=2y+3.
Solving gives dimensions of 15 feet by 6 feet.

8 0

2 years ago

The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the c

Andrews [41]

Answer:

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).

Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

$H_0: \mu=10\\\\H_1: \mu \neq 10$

The significance level is $\alpha=0.05$ .

The test statistic t can be calculated as:

$t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737$

The degrees of freedom are:

$df=N-1=50-1=49$

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

7 0

3 years ago

Is 95.045 greater than 19.545

nadezda [96]

No because in 19.545, the 9 is bigger than the 5 in 95.045 (the first 5)

3 0

3 years ago

Please help me with this problem! I know three of the answers just need the last one!

Jobisdone [24]

Answer:

There can be a number of correct answers. One of them is the ship has traveled 25 miles in 1 hour.

Step-by-step explanation:

The distance from destination f after x hours for the ship is given by f(x)=120-25x

At the beginning, x=0, f(x)=f(0)=120

After 1 hour, f(x)=f(1)=120-25=95

So in 1 hour, the ship has traveled 120-95=25 miles.

4 0

3 years ago

Read 2 more answers

Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).

bija089 [108]

Note: Since you missed to mention the the expression of the function $p(x)$ . After a little research, I was able to find the complete question. So, I am assuming the expression as $p(x)=x^4-9x^2-4x+12$ and will solve the question based on this assumption expression of $p(x)$ , which anyways would solve your query.

Answer:

$p\left(-2\right)=0$

Therefore, $x=-2$ is a root of the polynomial $p(x)=x^4-9x^2-4x+12$

$p\left(2\right)=-16$

Therefore, $x=2$ is not a root of the polynomial $p(x)=x^4-9x^2-4x+12$

Step-by-step explanation:

As we know that for any polynomial let say $p(x)$ , $c$ is the root of the polynomial if $p(c)=0$ .

In order to find which of the given values will be a root of the polynomial, $p(x)=x^4-9x^2-4x+12$ , we must have to evaluate $p(x)$ for each of these values to determine if the output of the function gets zero.

So,

Solving for $p\left(-2\right)$