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3 years ago

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John has 54 white marbles and nine yellow marbles Ben has 16 white marbles and 96 yellow marbles Noel has 12 white marbles and 7

2 yellow marbles

2 answers:

andrey2020 [161]3 years ago

6 0

Answer: the question

Step-by-step explanation:Select the correct answer from the drop-down menu.

John has 54 white marbles and 9 yellow marbles. Ben has 16 white marbles and 96 yellow marbles. Noel has 12 white marbles and 72 yellow marbles.

The boys who have the same ratio of white marbles to yellow marbles are .

gregori [183]3 years ago

4 0

What is your question that is supposed to be asked

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Express 34 as a pencentage

Colt1911 [192]

34 as a percent is 3400%

In order to get this number you move the decimal to places to the right:
34.0 ---> 3400.0 =
3400%

7 0

3 years ago

Read 2 more answers

The angles of depression of two ships from the top of the light house are 45° and 30° towards east. If the ships are 200 m apart

azamat

Answer:

273 meters

Step-by-step explanation:

See image attached for the diagram I used to represent this scenario.

The distance between the ships, at angles 30 and 45, is 200 meters. The distance between the left ship and the lighthouse is x meters.

We can use trigonometric ratios to solve this problem. We can use the tangent ratio $\big{(} \frac{\text{opposite}}{\text{adjacent}} \big{)}$ to create an equation with the two angles.

$\displaystyle \text{tan(45)} = \frac{h}{x}$
$\displaystyle \text{tan(30)} = \frac{h}{x+200} }$

Let's take these two equations and solve for x in both of them.

<h2> $\textbf{Equation I}$ </h2>

$\displaystyle \text{tan(45)} = \frac{h}{x}$

tan(45) = 1, so we can rewrite this equation.

$\displaystyle 1=\frac{h}{x}$

Multiply x to both sides of the equation.

$\displaystyle x = h$

<h2> $\textbf{Equation II}$ </h2>

$\displaystyle \text{tan(30)} = \frac{h}{x+200} }$

Multiply x + 200 to both sides and divide h by tan(30).

$\displaystyle \text{x + 200} = \frac{h}{\text{tan (30)}}$

Subtract 200 from both sides of the equation.

$\displaystyle \text{x} = \frac{h}{\text{tan (30)}} - 200$

Simplify h/tan(30).

$x=\sqrt{3}h - 200$

<h2> $\textbf{Equation I = Equation II}$ </h2>

Take Equation I and Equation II and set them equal to each other.

$h=\sqrt{3}h-200$

Subtract √3 h from both sides of the equation.

$h-\sqrt{3}h=-200$

Factor h from the left side of the equation.

$h(1-\sqrt{3}) =-200$

Divide both sides of the equation by 1 - √3.

$\displaystyle h=\frac{-200}{1-\sqrt{3} }$

Rationalize the denominator by multiplying the numerator and denominator by the conjugate.

$\displaystyle h=\frac{-200}{1-\sqrt{3} } \big{(} \frac{1+\sqrt{3} }{1+\sqrt{3}} \big{)}$
$\displaystyle h=\frac{-200+200\sqrt{3} }{1-3}$
$\displaystyle h =\frac{-200+200\sqrt{3} }{-2}$

Simplify this equation.

$\displaystyle h=100+100\sqrt{3}$
$h=273.20508075$

The height of the lighthouse is about 273 meters.

5 0

3 years ago

Read 2 more answers

Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)

rewona [7]

Answer:

$\boxed{12u^3+8u^2-6u+9}$

Step-by-step explanation:

$(8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3$

Once

$8x+4x = 12x, \text{ as } x = u^3$

$8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}$

You don't need to factor.

7 0

3 years ago

Multiply and subtract

WITCHER [35]

Answer:

26x³ - 12x² + 5x + 7

Step-by-step explanation:

(2x³ - 3x + 11) - (3x² + 1) x (4 - 8x)
2x³ - 3x+11 - (12x² - 24x³ + 4 - 8x)
2x³ - 3x + 11 - 12x² + 24x³ - 4 + 8x
26x³ + 5x + 7 - 12x²

= 26x³ - 12x² + 5x + 7

4 0

3 years ago

Find the average rate of change of the function over the given interval.. h(t) = cot t, intervals given [pi/4, (3pi)/4]. I've go

Phantasy [73]

<span>Hi! All you need to know is that cot stands for cotangent and its the reciprocal of tan i.e. cot(x) = 1/tan(x). You probably know that tan(pi/4) = 1 and that tan(3pi/4) = -1. Happily in these cases it means that cot and tan come out the same (1/1 = 1 and 1/-1 = -1). -1 - (+1) = -2 and this divided by pi/2 = -2/(pi/2) which looks a bit untidy so multiply the top and bottom by 2 (to get rid of the 2 in pi/2) and the answer is -4/pi. HTH</span>

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4 years ago