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Flauer [41]
2 years ago
10

Length of tangent line - geometry please help

Mathematics
2 answers:
pickupchik [31]2 years ago
5 0

Answer:

a

Step-by-step explanation:

Given a tangent and a secant to a circle from an external point, then

The square of the tangent is equal to the product of the external part and the whole of the secant , that is

PB² = PA × PC = 4(4 + 32) = 4 × 36 = 144 ( take square root of both sides )

PB = \sqrt{144} = 12 → a

kolezko [41]2 years ago
3 0

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

PC * PA = PB^2

(PA+AC) * PA = PB^2

(4+32) * 4 = PB^2

36*4 = PB^2

144 = PB^2

Taking the square root of each side

sqrt(144) = sqrt(PB^2)

12= PB

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3 years ago
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2 years ago
A regular hexagon with side length 4 has the same area as a square. What is the length of the square?
svetlana [45]

Answer: The length of the square is 6.44

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

A=\frac{s^2n}{4tan(\frac{180}{n})}

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According to the information given in the exercise, you know that:

s=4

Since an hexagon has six sides, you know that:

n=6

Therefore, its area is:

A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}

The formula to find the area of a square is:

A=s^2

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44

7 0
3 years ago
Write the word sentence as an equation. The product of a number d and 7 is 63. An equation that represents this word sentence is
lilavasa [31]

Answer

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One car model costs $12,000 and costs an average of $0.10 per mile to maintain. Another car model costs $14,000 and costs $0.08
BlackZzzverrR [31]
Answer:
See a solution process below:
Explanation:
Let's call the number of miles driven we are looking for
m
.
The the total cost of ownership for the first car model is:
12000
+
0.1
m
The the total cost of ownership for the second car model is:
14000
+
0.08
m
We can equate these two expressions and solve for
m
to find after how many miles the total cost of ownership is the same:
12000
+
0.1
m
=
14000
+
0.08
m
Next, we can subtract
12000
and
0.08
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
12000
+
12000
+
0.1
m
−
0.08
m
=
−
12000
+
14000
+
0.08
m
−
0.08
m
0
+
(
0.1
−
0.08
)
m
=
2000
+
0
0.02
m
=
2000
Now, we can divide each side of the equation by
0.02
to solve for
m
while keeping the equation balanced:
0.02
m
0.02
=
2000
0.02
0.02
m
0.02
=
100000
After 100,000 miles the total cost of ownership of the two cars would be the same.
3 0
3 years ago
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