Help me I will give brainiest

elena55 [62]

Answer:

sec(θ) = -5/2

Step-by-step explanation:

It can be helpful to draw a triangle with sides that produce the given ratio. See the attachment. Then the third side of the triangle can be found using the Pythagorean theorem, if necessary. Finally, the ratio for the desired trig function can be determined.

sec = hypotenuse/adjacent

sec(θ) = 5/-2 = -5/2

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If you don't want to do that, or if you have various trig identities memorized, you can use the appropriate trig identity.

sin² + cos² = 1

so ...

sec² = 1/cos² = 1/(1 -sin²)

sec = 1/√(1 -sin²)

Since the tangent is positive, this is a third-quadrant angle. The secant will be negative.

sec(θ) = -1/√(1 -(21/25)) = -√(25/4) . . . . . filling in the given value for sin(θ)

sec(θ) = -5/2

4 0

2 years ago

Two angles are supplementary if their sum is 180°. the larger angle measures five degrees more than four times the measure of a

wlad13 [49]

Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

$y=4x+5$

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

$x+y=180$

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute $y=4x+5$ into $x+y=180$

$x+y=180$

After substituting, you get

$x+4x+5=180$

Now, combine the x's

$5x+5=180$

Subtract both sides by 5

$5x=175$

Divide both sides by 5.

$x=35$

Now, we can solve for y using the equation $x+y=180$ since we know the value of x.

$35+y=180$

Subtract both sides by 35.

$y=145$

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)

5 0

2 years ago

• Clare mixes 2 cups of water with

ehidna [41]

It would be Han because his taste of the drink would come out but Clare’s would be watery and tasteless

8 0

2 years ago

Read 2 more answers

5/8 divided by 1 1/3 equals?

Hitman42 [59]

Step-by-step explanation:

5/8 x 3/11 = answer

Keep change flip

5 0

2 years ago

Read 2 more answers

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t

LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

$H_0: \mu = 59.5$

At the alternate hypothesis, we test that it is different, that is:

$H_a: \mu \neq 59.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that $\mu = 59.5$

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that $n = 250, X = 59.2, \sigma = 1.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}$

$z = -2.5$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0

2 years ago

Help me I will give brainiest​

Help me I will give brainiest