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3 years ago

Sort these fractions in ascending order. 4/5 3/7 1/6 2/3

Mathematics

1 answer:

Doss [256]3 years ago

5 0

Answer:

1/6, 3/7, 2/3, 4/5

Step-by-step explanation:

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Find the exact value of cos(theta) for an angle (theta) with tan (theta)= -2/3 and with its terminal side in Quadrant II.

Naya [18.7K]

Answer:

$-\frac{3\sqrt{13}}{13}$ .

Step-by-step explanation:

Since we are in quadrant two, cosine value is negative while sine value is positive.

We are going to use the Pythagorean Identity: $1+\tan^2(\theta)=\sec^2(\theta)$ .

$1+(\frac{-2}{3})^2=\sec^2(\theta)$

$1+\frac{4}{9}=\sec^2(\theta)$

$\frac{9+4}{9}=\sec^2(\theta)$

$\frac{13}{9}=\sec^2(\theta)$

$\pm \sqrt{\frac{13}{9}}=\sec(\theta)$

$\pm \frac{\sqrt{13}}{3}=\sec(\theta)$

Since cosine and secant are reciprocals then they will have the same sign as along as they both exist.

$\sec(\theta)=-\frac{\sqrt{13}}{3}$

$\cos(\theta)=-\frac{3}{\sqrt{13}}$ .

I don't see this answer as I'm going to rationalize the denominator.

$\cos(\theta)=-\frac{3}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$ .

$\cos(\theta)=-\frac{3\sqrt{13}}{13}$ .

8 0

4 years ago

Read 2 more answers

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n200080 [17]

Answer:

The untrue statement is "B. This figure is a parallelogram"

Step-by-step explanation:

You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.

7 0

3 years ago

Read 2 more answers

Would the missing value be 12cm?

nika2105 [10]

Answer: The missing value, y = 24

Step-by-step explanation:

The triangles are similar, so the sides are proportional.

The length of side BD is 10. The segment AD is also 10. Add them to get the length of side AB.

DE is 12

12:10 = y:20 . 20/10 = 2 2×12 = 24

7 0

3 years ago

The population of Oak Forest is increasing at a rate of 4% per year. If the population is 39,410 today, what will it be in three

Nataly [62]

The population of Oak Forest is increasing at a rate of 4% per year.

Increase rate, r = 4%

Current population, P = 39,410

time, t = 3 years

Population after 3 years will be:
$P{(1 + \frac{r}{100} )}^{t} \\ \\ = 39410 \times { ( 1 + \frac{4}{100} )}^{3} \\ \\ = 39410 \times {1.04}^{3} \\ \\ = 44330.89 \\ \\ \approx \boxed{44331}$

Population after 3 years will be 44331

8 0

3 years ago

Klaus was replacing the roof on his house. He used 420 nails to attach all the pieces of wood. Each piece of wood needed 7 nails

Sladkaya [172]

Answer:

Step-by-step explanation:

if 7 nails are required for each piece of wood, you must determine how much wood you have in total by dividing the amount of nails by 7.

If you have used 40 nails out of sixty, you 20 left because

60-40=20

4 0

3 years ago