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3 years ago

In the figure below, \overline{AD}

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

7 0

Answer:

305

Step-by-step explanation:

Its the answer on khan academy

Tanzania [10]3 years ago

5 0

Answer:

hey46

Step-by-step explanation:

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A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed t

solmaris [256]

Answer:

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

Step-by-step explanation:

A function F is called an antiderivative of f on an interval I if $F'(x) = f(x)$ for all x in I.

Recall that if the object has position function $s=f(t)$ , then the velocity function is $v(t)=s'(t)$ . This means that the position function is an antiderivative of the velocity function. Likewise, the acceleration function is $a(t)=v'(t)$ , so the velocity function is an antiderivative of the acceleration.

An object near the surface of the earth is subject to a gravitational force that produces a downward acceleration denoted by $g$ . For motion close to the ground we may assume that $g$ is constant, its value being about $9.8 \:{\frac{m}{s^2}}$ .

We know that the acceleration due to gravity is given by

$a(t)=-9.8$

and the antiderivative is velocity

$v(t)=\int a(t)\,dt\\v(t)=\int -9.8\,dt\\v(t)=-9.8t +C$

We know that the canister was dropped, so the initial velocity at t = 0 is zero, this fact let us know the value of C.

$v(0)=9.8(0)+C\\C=0$

The antiderivative of velocity is the position

$s(t)=\int v(t) \, dt\\s(t)=\int -9.8t \, dt\\s(t)=-4.9t^2+C$

To find the value of the constant C, we know that the height was 500 m at t = 0, this means $s(0)=500$

$500=-4.9(0)^2+C\\C=500$

$s(t)=-4.9t^2+500$

Using the fact that at the time of impact the height s(t) is zero we can compute the total time of the fall:

$s(t)=-4.9t^2+500=0\\\\-4.9t^2=-500\\\\t^2=\frac{5000}{49}\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\t=\sqrt{\frac{5000}{49}},\:t=-\sqrt{\frac{5000}{49}}$

A negative time does not make sense, so we only take as a possible solution

$t=\sqrt{\frac{5000}{49}}=\frac{50\sqrt{2}}{7}\approx 10.102$

Now the final velocity is

$v(\frac{50\sqrt{2}}{7})=-9.8(\frac{50\sqrt{2}}{7})\approx -98.995$

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

5 0

4 years ago

53.98% of the area under the distribution curve lies to the left of it.

Sindrei [870]

Answer:

54%

Step-by-step explanation:

3 0

3 years ago

Name the property of equality that justifies the following statement: If l = m, then m = l. Symmetric Property Multiplication Pr

nydimaria [60]

Symmetric property is the answer ;)

5 0

3 years ago

Read 2 more answers

40% of 400- how to solve please (thanks

Alexxandr [17]

Step-by-step explanation:

What is 40% of 400?

Convert the problem to an equation using the percentage formula: P% * X = Y
P is 40%, X is 400, so the equation is 40% * 400 = Y
Convert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4
Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = Y
Do the math: 0.4 * 400 = 160
Y = 160
So 10% of 150 is 160
Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160

6 0

2 years ago

Read 2 more answers

Which is the graph of y = _0.4x? A. B. C. D.

cestrela7 [59]

Y = -0.4x

1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °

With all that information you can identify the graph, given that you didn't include the options.

8 0

3 years ago