All categories

3 years ago

If secθ = 13/12 and 270° < θ < 360°, then tanθ = _____.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

tan Ф = opposite / adjacent = a / b=5/12

Step-by-step explanation:

sec Ф = hypotenuse / adjacent = c / b=13/12

tan Ф = opposite / adjacent = a / b

find a

a^2+b^2=c^2

a=√c^2-b^2 b=12 and c=13

a=√144-169=√25=5

You might be interested in

20) Chester bought a new car with a sticker price of $18,675. He paid 25% of the cost as a down payment. What

ELEN [110]

Answer:

B is correct

8 0

2 years ago

How does the graph of g(x) = 5x – 3 compare to the graph of f(x) = 5*?

Karo-lina-s [1.5K]

Answer:

the graph is shifted down 3 units

Step-by-step explanation:

5x-3

meaning the original graph of 5x going down three units

3 0

3 years ago

What is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..

777dan777 [17]

Hey there :)

-96, 48, -24, 12, -6

Each term is divided by - 2 or multiplied by $-\frac{1}{2}$

$\frac{48}{-96}$ = $-\frac{1}{2}$
$\frac{-24}{48}$ = $- \frac{1}{2}$
$\frac{12}{-24}$ = $- \frac{1}{2}$
$\frac-{6}{12}$ = $- \frac{1}{2}$

The common ratio is - $\frac{1}{2}$

3 0

4 years ago

Assume that when adults with smartphones are randomly selected, 61% use them in meetings or classes. If 8 adult smartphone user

podryga [215]

Answer:

0.1147

Step-by-step explanation:

When adults with smartphones are randomly selected, 61% use them in meetings or classes, then

the probability of using the smartphone is $p=0.61;$

the probability of not using the smartphone is $q=1-p=1-0.61=0.39.$

If 8 adult smartphone users are randomly selected, the probability that exactly 3 of them use their smartphones in meetings or classes can be calculated using binomial distribution as

$C^8_3\cdot p^3\cdot q^{8-3}=C^8_3\cdot (0.61)^3\cdot (0.39)^5$