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3 years ago

9

There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3

/5 of the remaining runners dropped out. How many runners finished the race?

1 answer:

Helen [10]3 years ago

5 0

45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

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A space shuttle orbits earth one time in 90 minutes how many times does it orbit earth in six hours

SOVA2 [1]

60 minutes=1 hour
360 minutes=6 hours
so 360 minutes/90 minutes

so your answer is 4 hours

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3 years ago

Read 2 more answers

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

levacccp [35]

The ratio of linear dimensions (side lengths) is the square root of the ratio of areas.
√1 : √4 = 1 : 2

The best choice is ...
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3 years ago

If f(x)=ln(sin(2x)), f''(π/4) is equal to

Licemer1 [7]

Use the chain rule to compute the second derivative:

$f(x)=\ln(\sin(2x))$

The first derivative is

$f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}$

$f'(x)=2\cot(2x)$

Then the second derivative is

$f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'$

$f''(x)=-4\csc^2(2x)$

Then plug in π/4 for <em>x</em> :

$f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4$

4 0

3 years ago

Pls help me with 1 and 2 plzzzz

kupik [55]

Answer:

1. First choice, 1/2

2. First choice, 1/2

Step-by-step explanation:

3 odd numbers on a dice, so 3/6 = 1/2

12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2

7 0

2 years ago

What is the perimeter of Triangle XYZ?

Svet_ta [14]

Answer:

36

Step-by-step explanation:

From the diagram, the following is true;

AY = YB = 7

BZ = ZC = 6

XC = XA = 5

perimeter of the triangle is the sum of all the sides

Hence ;

Perimeter = AY+YB+BZ+ZC+XC+XA

Perimeter of the triangle = 7+7+6+6+5+5

Perimeter of the triangle = 36

hence the perimeter of the triangle is 36

7 0

3 years ago