Which expression forms an equation with the given expression 14 + 2 • 12 ÷ 3 = __________

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

Ratling [72]

Answer:

the answer is 34.

Step-by-step explanation:

the Phythagorean theorem is a^2 + b^2 = c^2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

8 0

2 years ago

a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is t

frez [133]

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0 (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0 (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

$x = -\frac{7}{4} = -1.75$ or $x =\frac{3}{2} = 1.5$

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

Hope this helps!

3 0

2 years ago

your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expressi

GenaCL600 [577]

Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05

5 0

2 years ago

Read 2 more answers

HELP ASAP DUE TOMORROW!!! NUMBER 2!!

murzikaleks [220]

The answer is D) 602.88

Example: The formula is V= pi r*r*h V = 3.14 (4* 4) (12) V = 3.14 (16) (12)
V= 3.14 * 192 = 602.88m squared