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Elis [28]
3 years ago
6

An acute angle θ is in a right triangle with cos θ = five sixths. What is the value of sec θ?

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
3 0

since secθ = 1/cosθ

then secθ of cos(5/6) would be 1 / 5/6 = 6/5

Law Incorporation [45]3 years ago
3 0

Answer:

\frac{6}{5}

Step-by-step explanation:

Given : Cos \theta = \frac{5}{6}

To Find : Sec \theta

Solution:

Property : sec\theta = \frac{1}{cos\theta}

So, Cos \theta = \frac{5}{6}

So, Using property

sec\theta = \frac{1}{\frac{5}{6}}

sec\theta = \frac{6}{5}

Hence the value of sec θ is \frac{6}{5}

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If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was sp
Vanyuwa [196]

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

  • $x, in billions, was spent on advertising expenditures on television last year.
  • This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

0.959x = 141.7

x = \frac{141.7}{0.959}

x = 147.8

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at brainly.com/question/24372153

4 0
3 years ago
The equation of a circle is given below. Identify the center and radius. Then graph the circle.
Blizzard [7]

Answer:

  • Center = (3, 0)
  • Radius = 3
  • Graph = see below

Concept:

Here, we need to know the idea of the circle equation.

Circle equation: (x - h)² + (y - k)² = r²

(h, k) = center

r = radius

x = variable

y = variable

Solve:

<u>Given expression </u>

(x - 3)² + y² = 9

<u>Find the point of the center</u>

(h, k) = \boxed{(3,0)}

<u>Find the length of the radius</u>

r² = 9

\boxed{r=3}

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
Read 2 more answers
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each is $720. The first is marked down
Marina CMI [18]

Answer:

store one

Step-by-step explanation:

Store One:

$720(0.50)=$360

$720-$360=$360

Store Two:

$720(0.30)=$216

$720-$216=$504

$504(0.20)=$100.8

$504-$100.8=$403.2

5 0
2 years ago
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your
11111nata11111 [884]

Answer:

b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.

Step-by-step explanation:

Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.

7 0
3 years ago
Determine the slope , y intercept , x intercept <br> Y=-3x+15
nata0808 [166]

Answer:

Step-by-step explanation:

Y=-3x+15

Comparing to y = mx + c

Slope m = -3

Intercept c = 15

4 0
3 years ago
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