All categories

3 years ago

Does anyone knows how to solve this question??

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

cos(x) is just a trigonometric function. To find it on a right triangle, you take the "adjacent" side, which should be the side next to the angle x, and divide it by the hypotenuse.

In this case, the adjacent side is 12. We don't know the hypotenuse, but we can figure it out using the Pythagorean Theorem: $\sqrt{9^{2}+12^{2}}$ = $\sqrt{225}$ = 15. So, the hypotenuse is 15.

Thus, cos(x) = 12/15 = 4/5. We want 30 * cos(x), so we get: 30 * (4/5) = 24, and that is our answer.

Ilya [14]3 years ago

7 0

Answer:

Step-by-step explanation:

From the mnemonic SOHCAHTOA you would know that cos x = adjacent/hypotenuse.

Adjacent side is given as 12, but we must calculate the hypotenuse.

For that we use Pythagoras.

hypotenuse = √(9²+12²) = 15

Now you can calculate

30×cos(x) = 30×12/15 = 24

You might be interested in

Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

What is the area of a circle with a radius of 8 inches? Use 3.14 for .

OleMash [197]

Use pi•r^2 for the formula of a circle. filling it in, you get 3.14•64 which is 200.96

8 0

3 years ago

Help me answering this question

tatuchka [14]

Answer:

Step-by-step explanation:

when we perform each of these transformations, the only one that does <u>NOT</u> make shape F congruent (the same position, orientation and size) with shape G, for it reflects over and axis making it mirror to G, but is then ROTATED 90 degrees into shape G's sector, rotating the shape 90 degrees as well

hope this helps ya out :)

7 0

3 years ago

Guys Help me <br><br> Does (4, 7) make the equation y = 2x + 7 true?

natka813 [3]

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

3 0

3 years ago

Read 2 more answers

What is 2 times 4 plus 20 and times 3?

Gennadij [26K]

Answer:

Step-by-step explanation:

5 0

3 years ago