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3 years ago

Find both unit rates. 374 students for every 20 teachers

Mathematics

1 answer:

Trava [24]3 years ago

3 0

About 18 or 19 students per teacher

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

4 years ago

Please help :) worth more than 10 points :) Find the area of the triangle.

olga_2 [115]

13 m ...?.........;;;;;;;;;

5 0

3 years ago

2 of 8 = Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP. у х oo

Drupady [299]

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

8 0

2 years ago

A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacit

Komok [63]

Percentage=(fuel consumed/ full fuel capacity) *100%
=(130000/200000)*100%
=65%

3 0

2 years ago

How can you 24 with the numbers 6,6,2,1

Andreas93 [3]

Add 6 + 6 = 12

Multiple 12 * 2 = 24

Multiple 24 * 1 = 24

5 0

3 years ago