All categories

3 years ago

FInd the value of C.

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

The side C equals to 10. hence the answer is letter A

Step-by-step explanation:

To solve this, we need to use trigonometric functions.

we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.

Given α= 45º and Lo= 5√2 and replacing in the equation:

sin (45º) = 5√2 / C (1)

Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):

sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10

You might be interested in

A pair of parallel lines is cut by a transversal:

bija089 [108]

It is 45 degrees dude, really

3 0

3 years ago

Read 2 more answers

The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the T

grandymaker [24]

Answer:

2 minutes.

Step-by-step explanation:

Let t be the time taken in competition and the distance covered by Achilles be x miles.

We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: $x-\frac{2}{5}$ .

Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

Since we know that $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ , so we can set two equations for time taken by Achilles and turtle as:

$t=\frac{x}{13}...(1)$

$t=\frac{(x-\frac{2}{5})}{1}...(2)$

From equation (1) we will get,

$x=13t$

Upon substituting this value in equation (2) we will get,

$t=\frac{13t-\frac{2}{5}}{1}$

Let us have a common denominator.

$t=\frac{\frac{65t-2}{5}}{1}$

$t=\frac{65t-2}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5t=5\times \frac{65t-2}{5}$

$5t=65t-2$

$5t-65t=65t-65t-2$

$-60t=-2$

$t=\frac{-2}{-60}$

$t=\frac{1}{30}$

So, the competition took 1/30 hour, let us convert our given time in minutes.

$\frac{1}{30}\text{ hour}\times \frac{60\text{ minutes}}{\text{hour}}$

$\frac{1}{30}\times 60\text{ minutes}$

$2\text{ minutes}$

Therefore, the competition took 2 minutes.

8 0

3 years ago

Mark scored 17 points for the home team in a basketball game. His teammates as a group scored p points. As a team they scored 46

ki77a [65]

Answer:

Equation:

17 + p = 46

His teammates scored 29 points

Step-by-step explanation:

We know that Mark scored 17 points and that the entire team scored 46.

Mark's 17 points added to the team's p points will give us a total of 46 points

p = points of his teammates

17 + p = 46

if we want to know how many points his teammates scored we simply have to clear p and solve

17 + p = 46

p = 46 - 17

p = 29

his teammates scored 29 points

3 0

4 years ago

Read 2 more answers

7. Given the function f(x)= (x+1)/ (2-x) answer the following:

lesantik [10]

Answer:

vrtOne example is the equation:

2x + 6 = 4x/2 + 12/2

To solve this, we need to transpose like terms to the same side.

2x - 4x/2 = 12/2 - 6

2x - 2x = 6 - 6

0 = 0

Since both sides are zero, it means that the equation has infinite number of solutions.

Step-by-step explanation:

3 0

3 years ago

Suppose f(x)=x^3. find the graph of f(x-4)

Novay_Z [31]

F(x)=x^3 is the cubing function. Its graph begins (originates) in Q III, goes thru the origin (0,0), and continues to grow as it travels through Q I. Draw it.

The <span>graph of f(x-4) has exactly the same shape. The only difference here is that the graph of f(x) = x^3 has been moved 4 units to the right, so that its horiz. intercept is (4,0).</span>

3 0

3 years ago