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3 years ago

Given the known sides, solve for y

Mathematics

1 answer:

PtichkaEL [24]3 years ago

7 0

Answer:

We conclude that:

m∠y = 70.53°

Step-by-step explanation:

From the given right-angled triangle,

Hypotenuse is 15

The angle is ∠y

The adjacent to angle ∠y is 5

Using the trigonometric ratio,

cos y = adjacent / hypotenuse

substituting adjacent = 5, hypotenuse = 15

cos y = 5/15

cos y = 1/3

y = arc cos (1/3)

y = 70.53°

Therefore, we conclude that:

m∠y = 70.53°

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A video game developer

vitfil [10]

Answer:

y = 13x

Step-by-step explanation:

If "y" represents how much he earns total

and "x" represents the number of games sold

then the equation is $y=65\frac{x}{5}$

which can be simplified to $y = 13x$

8 0

3 years ago

A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ

Yuri [45]

so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.

163 puzzles and 173 action figures is the answer

4 0

3 years ago

Read 2 more answers

HELP PLZ <br> i need help with this math side i just need b,c,d a =4x+2y=16

tino4ka555 [31]

Answer:

Please check the explanatio.

Step-by-step explanation:

Solving Part b)

We know that the slope-intercept form of the equation line is

$y=mx+b$

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

Given the equation

$4x+2y=16$

Re-writing the equation in the slope-intercept form

$4x+2y=16$

$y=-2x+8$

Here, m=-2 and b=8

Thus, the equation in the slope-intercept form will be:

$y=-2x+8$

Solving Part c)

As you sold two pounds of cheddar cheese.

i.e. y=2

substituting y=2 in the slope-intercept form of the line equation

$y=-2x+8$

$2=-2x+8$

Subtract 8 from both sides

$-2x+8-8=2-8$

$-2x=-6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{-6}{-2}$

$x=3$

You sold 3 pounds of swiss cheese.

Solving Part d)

$y=-2x+8$

putting x=2.5 in the equation

$y=-2x+8$

$2=-2\left(2.5\right)+8$

$2=3$

The sides are not equal

<em>FALSE</em>

Thus, x=2.5 does not make any sense in the context of the problem.

6 0

3 years ago

It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.

riadik2000 [5.3K]

Answer:

$k = (-162)$ .

Step-by-step explanation:

A point of the form $(x_{0},\, y_{0})$ belongs to the graph of this function, $y = k / x$ , if and only if the equation of this function holds after substituting in $x = x_{0}$ and $y = y_{0}$ .

The question states that the point $(-9,\, 18)$ belongs to the graph of this function. Thus, the equation of this function, $y = k / x$ , should hold after substituting in $x = (-9)$ and $y = 18$ :