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Rufina [12.5K]
3 years ago
9

Pete is standing 4 feet away from a mirror on the ground. Pete is 6 feet tall and can just see the top of the tree in the mirror

from where he is standing. The two triangles formed in the picture above are similar.
If the mirror is 16 feet away from the base of the tree, how tall is the tree?

a. 18 ft
b. 10 ft
c. 24 ft
d. 15 ft
Mathematics
2 answers:
Murljashka [212]3 years ago
5 0
It’s option c, 24ft.
Sedaia [141]3 years ago
3 0

Answer:

24ft

Step-by-step explanation:

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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

x^2 + (y - 2)^2 = r^2

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0
3 years ago
13. For what value of b would the following system of equations have an infinite number of solutions?
tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

5 0
4 years ago
Help please. I can't remember how to do these
ipn [44]
You have to multiplying 10x10 giving you 20 dividing six hours to 20. Then that answer divied by 5.

There's your answer :)
6 0
3 years ago
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Whoever answer correctly with NO file gets brainliest.
Simora [160]

Answer:

A

Step-by-step explanation:

for the number to be greater than 11 x cannot be negative so we can rule out C and D. 0 does not work as x so we can rule out B. we are left with A as the answer.

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Answer:

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