X+3=2X+6(x+4) Please Answer!

Their mother measures their shadows.Dixon's shadow is 9 feet long and Ariadne's shadow is feet long. If Dixon is 6 feet tall, ho

Shalnov [3]

Dixon is 6 feet tall, Ariadne is 4 feet tall by proportion.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value.
For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

We can use the proportion.

We already know that Dixon is 6 ft tall and that his shadow is 9 ft long.

Also we know that the shadow of his sister is 6 ft long.

6 : x = 9 : 6, or 6 / x = 9 / 6.

After that we will cross multiply : 9 * x = 6 * 6,

9 x = 36 ,

x = 36 /9,

x = 4.

Ariadne is 4 feet tall.

Learn more about proportion

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The complete question is -

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 6 feet long. If Dixon is 6 feet tall, how tall is Ariadne?

6 0

1 year ago

1. when y=7 , what is the value of x? 2. what is the y-intercept of the graph?

Yakvenalex [24]

1) Correct.

2) The y-intercept is when x=0, so it is (0,5).

7 0

2 years ago

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

marshall27 [118]

Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18 Cross multiply
4*18 = 2 * x
72 = 2x Divide by 2
72/2 = x
x = 36

The height of the tree is 36 feet.

6 0

3 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Mixed numbers from 6 to 7, with an interval of 1/5 in between each pair of mixed numbers

Flura [38]

A mixed number is a whole number plus a fraction.
the smallest whole number is 1.
so no mixed number could be lees than 1.

mixed numbers that are 1/5 apart and are between 6 and 7

1-6/1 or 2-71

3 0

4 years ago

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