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4 years ago

Find the value of x. round the length to the nearest tenth

Mathematics

2 answers:

Olenka [21]4 years ago

6 0

Answer:

777.9 meters

Step-by-step explanation:

From the given figure the angle adjacent to 40 degree is 50 degree

because it forms a right angle triangle (90 degree)

Now we use trigonometric ratio to find out the hypotenuse x

cos = adjacent side / hypotenuse

$cos(50)= \frac{adjacent}{hypotenuse}$

$cos(50)= \frac{500}{x}$

Cross multiply it

$x= \frac{500}{cos(500)}$

x=777.8619

So x= 777.9 meters

Ronch [10]4 years ago

3 0

Answer:

777.9 meters

Step-by-step explanation:

Notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. Now, we can set up an equation: cos (50 degrees) = 500 / x. Use a calculator to find that the answer is 777.9.

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If Joe finished half of his homework questions at school and completed one-third after practice, how many problems did Joe start

serg [7]

Answer: 78 problems

Step-by-step explanation:

Let x = the total number of problems that Joe started with. Joe finished half of his homework questions at school. This means that he finished 1/2 × x = x/2 of the home work at school. What he has left is x - x/2 = x/2.

He completed one-third after practice. This means he completed 1/3 × x = x/3 after practice The number of problems left altogether would be total number of problems - the the sum of the amount he finished at school and the amount he completed after practice. It would be x -(x/2 + x /3) = x - 5x/6 = x/6

If he has 13 to more to finish, that means

x/6 = 13

x = 13×6 = 78 minutes

6 0

3 years ago

What is the value of f(-2) = 2 • 2 a. –0.50 b. 0.0625 c. 0.25 d. 0.50

kramer

D??????????????????/////

4 0

3 years ago

-6y+13+9y=8y-3−6y+13+9y=8y−3

stepan [7]

Answer:

y=3/8

Step-by-step explanation:

-6y+13+9y=3y+13

3y+13=8y-3-6y+13+9y

3y+13=2y+9y-3+13

3y+13=11y+10

13=11y-3y+10

13=8y+10

8y=13-10

8y=3

y=3/8

7 0

4 years ago

What is the equation of the function shown in the graph provided? f(x)=?

Svetlanka [38]

Answer:

f(x)=3x

Step-by-step explanation:

6 0

3 years ago

Find an equation of a quartic function whose graph passes through the points (0, -2) and is tangent to the x-axis at (-1, 0) and

KengaRu [80]

The equation of the quartic function is $y = -\frac{1}{2}\cdot x^{4}+x^{3} +\frac{3}{2}\cdot x^{2} -2\cdot x - 2$ , whose factored form is $y = (x-2)^{2}\cdot (x+1)^{2}$ .

A quartic function is a fourth order polynomial, whose form is presented below:

$y = a\cdot x^{4}+b\cdot x^{3} + c\cdot x^{2}+d\cdot x + e$ , $a, b, c, d, e\in \mathbb{R}$ (1)

Where:

$x$ - Independent variable.
$y$ - Dependent variable.

Given that such polynomial must be tangent to the x-axis in two place, slope must be zero and by differential calculus we have the following expression for the slope of the tangent line:

$4\cdot a \cdot x^{3} + 3\cdot b\cdot x^{2} + 2\cdot c \cdot x + d = 0$ (2)

Then, we can construct the following system of linear equations:

$e = -2$ (3)

$a -b +c -d = -e$ (4)

$-4\cdot a +3\cdot b -2\cdot c + d = 0$ (5)

$16\cdot a + 8\cdot b + 4\cdot c + 2\cdot d = -e$ (6)

$32\cdot a + 12\cdot b + 4\cdot c + d = 0$ (7)

The solution of the system is: $a = -\frac{1}{2} , b = 1, c = \frac{3}{2}, d = -2$ .

The equation of the quartic function is $y = -\frac{1}{2}\cdot x^{4}+x^{3} +\frac{3}{2}\cdot x^{2} -2\cdot x - 2$ , whose factored form is $y = (x-2)^{2}\cdot (x+1)^{2}$ .

8 0

3 years ago