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bagirrra123 [75]
3 years ago
12

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A

few seconds after the rocket takes off vertically, the observer sees its tip at an angle of q° from the horizontal. How far above the ground is the tip of the rocket at that instant? Assume that the ground is level.. a) x/ tan q. b) x/sin q. cx tan q. d) x cos q.
Mathematics
2 answers:
Firlakuza [10]3 years ago
5 0
This can be solved using trigonometric functions. The distance x serves as one leg of a triangle, and makes an angle q with the hypotenuse. The distance from the tip of the rocket to the ground make up the other leg of the triangle. So solving this:

tan q = y / x

Where: y = distance from the tip of the rocket to the ground

Therefore, y = x tan q

Among the choices, the correct answer is C.
SVETLANKA909090 [29]3 years ago
3 0

Answer:C

Step-by-step explanation:

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2. The density of a liquid is 8.03 X 10-1 kilogram per liter. What is the
Liula [17]

Answer:

m = 80300 kg

Step-by-step explanation:

Data

m = ?

V = 100 000 l

d = 8.03 x 10⁻¹

Formula

d = m/V

clear m from the equation

m = dV

substitute values

m = 8.03 x 10⁻¹ x 100 000 = 80300 kg

6 0
3 years ago
Simplify<br> [4 (2+3)]? – 5 (30 – 10)
Yanka [14]

Answer:

-80 (showed below)

Step-by-step explanation:

given: [4 (2+3)]? – 5 (30 – 10)

brackets: 4 (5)]? – 5 (20)

mutiply: 20 - 100

= -80

7 0
3 years ago
Read 2 more answers
Consider the pyramid below:<br> 12 cm<br> 15 cm<br> What is the length of a ?
DedPeter [7]
[surface area of the square pyramid]=area of the base+4*[area of one lateral triangle]

area of the base=12²----> 144 cm²

area of one lateral triangle=b*h/2
b=12 cm
h=slant height -----> 15 cm
area of one lateral triangle=12*15/2-----> 90 cm²

[surface area of the square pyramid]=144+4*[90]----> 504 cm²

the answer is
the surface area of the square pyramid is 504 cm²
5 0
3 years ago
Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
4 years ago
Two sides of a triangle measure 8 cm and 12 cm. Which answer CANNOT be the measure of the third side? 4, 8, 12, or 16?
scoundrel [369]
(8+12) > side > |8-12|
20 > side > 4, Then 4 cm is the solution.

Whit a triangle solver: http://triancal.esy.es/?a=8&b=12


4 0
3 years ago
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