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4 years ago

Find the value of x using SohCahToa.

Mathematics

1 answer:

AlexFokin [52]4 years ago

4 0

Answer:

$x=6.55\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure

The cosine of the angle of 35 degrees is equal to divide the adjacent side to the angle of 35 degrees by the hypotenuse

$cos(35^o)=\frac{x}{8}$ -----> by CAH

solve for x

$x=(8)cos(35^o)$

$x=6.55\ units$

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If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?

Ira Lisetskai [31]

Answer:

The probability of rolling a 9 or higher is is 10/36. You can simplify this this fraction to 5/18.

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Need help with this maybe question

Aleonysh [2.5K]

Answer:

the vertex is:

(2, -1)

Step-by-step explanation:

First solve the equation for the variable y

$x^2-16y-4x-12=0$

Add 16y on both sides of the equation

$16y=x^2-16y+16y-4x-12$

$16y=x^2-4x-12$

Notice that now the equation has the general form of a parabola

$ax^2 +bx +c$

In this case

$a=1\\b=-4\\c=-12$

Add $(\frac{b}{2}) ^ 2$ and subtract $(\frac{b}{2}) ^ 2$ on the right side of the equation

$(\frac{b}{2}) ^ 2=(\frac{-4}{2}) ^ 2$

$(\frac{b}{2}) ^ 2=(-2) ^ 2$

$(\frac{b}{2}) ^ 2=4$

$16y=(x^2-4x+4)-4-12$

Factor the expression that is inside the parentheses

$16y=(x-2)^2-16$

Divide both sides of the equality between 16

$\frac{16}{16}y=\frac{1}{16}(x-2)^2-\frac{16}{16}$

$y=\frac{1}{16}(x-2)^2-1$

For an equation of the form

$y=a(x-h)^2 +k$

the vertex is: (h, k)

In this case

$h=2\\k =-1$

the vertex is:

(2, -1)

6 0

3 years ago

Help me please!! Joe went to a fast food restaurant and bought 4 orders of fries and 2 burgers for $14. Becca went to the same f

pashok25 [27]

Here are the equations that are represented by the scenarios:

4x + 2y = $14 (Joe)
3x + y = $9 (Becca) or y = 9 - 3x

To find the cost of each burger and fry you will solve the second equation for y and substitute it in for the y in the first equation. This will put everything in terms of x, the price of a fry.

4x + 2(9 - 3x) = $14
4x + 18 - 6x = 14
-2x +18 = 14
-18 -18
<u>-2x</u> = <u>-4</u>
-2 -2
x = 2

Fry cost $2, and burgers cost (9 - 3 x 2) or $3.

6 0

4 years ago

Question 4 of 10

MariettaO [177]

Answer:

-x² + 12x + 3

Step-by-step explanation:

Step 1: Write expression

5x² + 9x + 3 - (6x² - 3x)

Step 2: Distribute

5x² + 9x + 3 - 6x² + 3x

Step 3: Combine like terms

-x² + 12x + 3

3 0

4 years ago

Suppose that y varies inversely with x.write an equation for the inverse variation. Y=6 when x=8

sasho [114]

Answer: y = 48/x

Step-by-step explanation:

y ∝ 1/x

Introducing the proportionality constant, we have

y = k/x

substituting the value of x and y , we have

6 = k/8

k = 48

Therefore the equation becomes

y = 48/x

8 0

3 years ago