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3 years ago

Select all the fractions that are equivalent to each other.

Mathematics

2 answers:

Svetlanka [38]3 years ago

5 0

1/4 2/8 4/16 and 3/12
Hope this helps

pogonyaev3 years ago

4 0

1/4
2/8
4/16
3/12

u can convert fractions into percents by multiplying the first number by the second. hope this helped:))

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As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed

Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

$\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}$

Therefore, we have;

$\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}$

$\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}$

$sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi$

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

7 0

3 years ago

Factor.<br> x^2 - 8x +16

galben [10]

This is a perfect square trinomial. All of these special cases take this form which you can identify: a²+2ab+b².

x^2 - 8x +16 equals (x-4)²

answer: (x-4)²

8 0

4 years ago

Help more than 10 points

Drupady [299]

Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in

ratios give
h = 7(8)/8
h = 7

b = 8/2
b = 4

Area Triangle = 0.5(7)(4)
= 14

Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²

3 0

4 years ago

Please halp me in the question?

xz_007 [3.2K]

Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°

Step-by-step explanation:

A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90

B. To find x,

x - 6 + 5x = 90

x + 5x = 96

6x = 96

x = 16

So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°

5 0

3 years ago

Compare the fractions. −67 −17

slega [8]

-17 is fifty more positive than -67 (hope this help)

7 0

3 years ago