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zmey [24]
2 years ago
12

Ben is standing 8 feet from

Mathematics
1 answer:
never [62]2 years ago
5 0

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = \frac{Opposite}{Adjacent}

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

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creativ13 [48]

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The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d
alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8  (first crossing point)

or

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

7 0
3 years ago
 Given that 310 = 59 049 , what is 3-10 expressed as an exact value?
Advocard [28]
x^{-n}=\frac{1}{x^n} \\ \\
3^{10}=59049 \\
3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\
\boxed{3^{-10}=\frac{1}{59049}}
4 0
2 years ago
for a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height,
kolbaska11 [484]

Problem

For a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height, y, and time, x , when the projectile reaches the ground

Solution

We know that the x coordinate of a quadratic function is given by:

Vx= -b/2a

And the y coordinate correspond to the maximum value of y.

Then the best options are C and D but the best option is:

D) The maximum height is a y coordinate of the vertex of the quadratic function, which occurs when x = -b/2a

The projectile reaches the ground when the height is zero. The time when this occurs is the x-intercept of the zero of the function that is farthest to the right.​

7 0
9 months ago
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