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pickupchik [31]
3 years ago
15

Solve for x and explain?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

x = 7

Step-by-step explanation:

When 2 secants are drawn from an external point to a circle.

The product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

5(5 + x) = 6(6 + 4) ← distribute and simplify both sides

25 + 5x = 6 × 10

25 + 5x = 60 ( subtract 25 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
. Hannah is selling slices of pie at the bake sale. The pie has 8 slices. She has sold 1/4 of the slices. What fraction with a d
trasher [3.6K]

Answer:

2/8 because each 1/4 0f the 8 slices is equal to 2/8 by multipliction or you can say 1/4 of 8

7 0
2 years ago
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Two lines that have the same slopes, when will they intersect
taurus [48]

Answer: No. If two lines have the same slope they are parallel lines (or they are the same line), so they cannot intersect at one point. Because the triangles are congruent, the angles where the lines meet the x-axis are congruent. Because the lines form the same angle with the x-axis, they are parallel.

Step-by-step explanation:

5 0
3 years ago
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How do I solve 9/5 = x/16
zhenek [66]

Answer:

Cross Multiply

Step-by-step explanation:

1. Multiply 16 by 9 and you get 144
2. Multiply 5 by x

This is called cross multiplying.

3. Set up the equation. 5x=144
144/5=28.8

x=28.8

7 0
2 years ago
I NEED HELP PLEASE !!!!
Anon25 [30]

Answer: (-9,11)

So the line starts at the left on -9 and ends at the right at 11 so then your answer would be (-9,11)

6 0
3 years ago
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