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Ket [755]
3 years ago
6

10. The sum of two numbers is 102. One number is three less than twice the other.

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

(2n -3) + n = 102

2n - 3 + n = 102

3n - 3 = 102

3n = 105

n = 35 (the first number)

SO...

The other number is (2 x 35) - 3 =

                                           70 - 3 = 67 (the second number)

The numbers are 35 and 67.

35 + 67 = 102 CHECK!

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saul85 [17]

The distance between the ship and the light house is 139.28 km.

Solution:

The given image shows, it is right triangle.

Height = 50 km

Base = 130 km

Hypotenuse = ?

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

\text{Hypotenuse}^2=50^2+130^2

\text{Hypotenuse}^2=2500+16900

\text{Hypotenuse}^2=19400

Taking square root on both sides, we get

Hypotenuse = 10\sqrt{194}

Hypotenuse = 139.28 km

The distance between the ship and the light house is 139.28 km.

6 0
4 years ago
What is the center of the circle and radius defined by the following equation?<br><br> x2+y2+4y=5
vovangra [49]

Answer:

Step-by-step explanation:

Alternate forms:

x^2 + y (y + 4) = 5

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Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

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