1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zloy xaker [14]
4 years ago
6

Find sec θ in reduced fraction form. (Picture included)

Mathematics
1 answer:
Darya [45]4 years ago
5 0
Secant theta = hypotenuse/ adjacent
We have to calculate the adjacent side
adj^2 = 26^2 - 24^2
adj^2 = 676 -576
adj^2 = 100
adjacent = 10

secant theta = hypotenuse/ adjacent
secant theta = 26/10
secant theta = 13/5

You might be interested in
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
4 years ago
Evaluate z + z + z for x = 2, y = -3, z = -4.
Dvinal [7]
Greetings!

"<span>Evaluate z + z + z for x = 2, y = -3, z = -4."...

Input the information given:
(-4)+(-4)+(-4)
=-8+(-4)
=-12

The answer to the expression would be -12.

Hope this helps.
-Benjamin</span>
7 0
4 years ago
Read 2 more answers
What is the distance between (-6, 4) and (-1, 4)
defon

Answer: The distance between (-6, 4) and (-1, 4) is 5 units.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

3 0
3 years ago
84 2/3% to a fraction in lowest terms
RoseWind [281]

The evaluation of 84 2/3% to a fraction in its lowest term is \mathbf{ \dfrac{127}{150} }

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

\mathbf{= 84 \dfrac{2}{3}\%}

\mathbf{= \dfrac{(84 \times 3)+2}{3} \%}

\mathbf{= \dfrac{254}{3} \%}

\mathbf{= \dfrac{254}{3} \times \dfrac{1}{100}}

\mathbf{= \dfrac{254}{300} }

Divide both the numerator and denominator by (2)

\mathbf{= \dfrac{127}{150} }

Learn more about fractions here:

brainly.com/question/78672

#SPJ1

3 0
2 years ago
Other questions:
  • 11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error. In Step 1, the
    10·2 answers
  • Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair
    8·1 answer
  • 1
    15·1 answer
  • Solve using substitution.<br><br> x + 2y = 14<br> -5x + y = 18
    10·2 answers
  • Can someone help me on these two questions?
    6·1 answer
  • EASY 7TH GRADE MATH<br><br> 2r=62
    10·2 answers
  • 3÷x-1-3÷x+1=4 solve this equation in in quadratic equation<br>​
    6·2 answers
  • Answer ASAP Tysm I’m timed loll
    12·1 answer
  • (c) Ada is x years old and Bill is y years old.
    5·1 answer
  • What are the answers to this ? HELP ASAP PLS, this is timed ! Please explain as well !
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!