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3 years ago

What is the cosine of angle F A. 4/5B. 3/4C. 5/4D. 3/5

Mathematics

2 answers:

saveliy_v [14]3 years ago

6 0

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

Anvisha [2.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

adjacent to angle F is 15

over the hypotenuse being 25

reduced is 3/5

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3 years ago

Write down all three-digit numbers that fit the descriptions below and use only the digits 0, 2, and 5. Use each digit as many t

pogonyaev

Answer:

200, 500, 250, 520, 220 and 550

Step-by-step explanation:

A number is multiple of 10 if the number finish in the digit 0.

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200

500

250

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3 years ago

What percent of one hour is 25 minutes?

igomit [66]

Answer:

41.667% or 42%

Step-by-step explanation:

25/60

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3 years ago

Write the equation of the line passing through points ( -2,-5) and (1,1)

Dennis_Churaev [7]

Answer:

The equation of the line is:

$y=2x-1$

Step-by-step explanation:

Given the points

(-2, -5)

(1, 1)

Finding the slope between the points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)$

$m=\frac{1-\left(-5\right)}{1-\left(-2\right)}$

$m=2$

We know the slope-intercept form of the line equation

$y=mx+b$

where m is the slope and b is the slope-intercept form

substituting the value m=2 and the point (-2, -5) to find the b-intercept

$y=mx+b$

-5 = 2(-2) + b

b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of the line is:

$y=2x-1$

8 0

3 years ago

A Farm raises pigs and chickens. The farmer has a total of 66 animals. One Day he Counts the legs of all his animals and realize

Bogdan [553]

Answer: Pigs = 21

Chicken = 45

Step-by-step explanation:

Let the pigs be represented by p

Let the chicken be represented by c.

From the question,

p + c = 66

4p + 2c = 174

4 × ( p + c = 66)

1 × (4p + 2c = 174)

4p + 4c = 264

- 4p + 2c = 174

2c = 90

c = 90/2 = 45

There are 45 chickens

Simce the farmer has a total of 66 animals, the number of pigs will be:

= 66 - 45

= 21 pigs

4 0

3 years ago

What is the cosine of angle F A. 4/5B. 3/4C. 5/4D. 3/5​

What is the cosine of angle F A. 4/5B. 3/4C. 5/4D. 3/5