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marta [7]
3 years ago
11

Please answer! don’t forget to specify what to put for select

Mathematics
1 answer:
masha68 [24]3 years ago
5 0
Angle 11 is 119
and select alternate interior angles theorem
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The angle of the elevation of the sun is 34 degrees. Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round
gulaghasi [49]
\tan{34^o}= \frac{53}{x} 
\\
\\x= \frac{53}{\tan{34^o}} 
\\
\\x \approx 78.58

8 0
3 years ago
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0
3 years ago
You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance f
gizmo_the_mogwai [7]
First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times <span>the square root of 5
V=16 times </span><span>the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V</span>
8 0
2 years ago
Evaluate each value expression for the given value of x : 22-x/5 , x=20<br><br> HURY!!!!!!!!!!!
ozzi
Answer= 18

22-20/5
22-4
=18
5 0
3 years ago
Read 2 more answers
A new car loses 18% of its value in a year. At a year old, it is worth
kirill115 [55]

Answer:

11,155

Step-by-step explanation:

5 0
3 years ago
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