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2 years ago

11

Select the correct answer. The Red Sea is widening at a rate of 1.25 centimeters per year. How many years will it take to widen

another 812.5 centimeters? A. 600 B. 650 C. 750 D. 800 E. 812

2 answers:

klio [65]2 years ago

8 0

Answer:

650

Step-by-step explanation:

tangare [24]2 years ago

3 0

Answer:

650

Step-by-step explanation:

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Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

7 0

3 years ago

If AC = 10 and CG = 21, find AG.

stellarik [79]

The answers 59 because 90 degrees is the angle so 21 plus 10 equals 31 and 90-31 equals 59

8 0

3 years ago

The variable z is inversely proportional to x. When x is 19, z has the value 0.10526315789474. What is the value of z when x= 28

telo118 [61]

When two variables are inversely proportional the relation between them can be written as:

$z=\frac{k}{x}$

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

$k=zx\\ \\ k=0.10526315789474(19)\\ \\ k=2$

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

$z=\frac{2}{x}$

We have to find the value of z when x=28. So replacing x by 28, we get:

$z=\frac{2}{28}\\ \\ z=0.07142857143$

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

6 0

3 years ago

insens350 [35]

Answer:

D 8 hours

Step-by-step explanation:

it has to be positive and it is obviously more than 1 hour so it has to be 8 hours by process of elimination.

5 0

2 years ago

Pls help me solve these

likoan [24]

The conversion of 9.204 to a mixed number will be 9 51/250.

<h3>How to illustrate the information?</h3>

It should be noted that converting decimal to mixed numbers simply means changing them to whole numbers and fractions.

Therefore, 9.204 will be:

= 9 204/1000

= 9 51/250

The percentage equivalent of 3 7/8 will be:

= (3 × 100) + (7/8 × 100)

= 300 + 87.5

= 387.5%

Dividing 72 in the ratio 2:3:4 will be:

= 2/9 × 72 = 16

= 3/9 × 72 = 24

= 4/9 × 72 = 32

Learn more about decimals on:

brainly.com/question/1827193

#SPJ1

6 0

1 year ago