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3 years ago

A number x cubed is six

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

x = 1.817

Step-by-step explanation:

$x^3 = 6\\\sqrt[3]{x} = \sqrt[3]{6} \\x = 1.817$

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A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster

Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = $D_1$ = 20 miles

The distance cover by biker = $D_2$ = 6 miles

The speed of biker = $S_2$ = s mph

The speed of cyclist = $S_1$ = 7 + s mph

The time taken by both cyclist and biker = t hour

Now. Distance = Speed × Time

So, $D_1$ = $S_1$ × t

Or, 20 = s × t

Or, t = $\frac{20}{7+s}$ .....1

And ,

$D_2$ = $S_2$ × t

or, 6 = s t

Or, t = $\frac{6}{s}$ ....2

From Eq 1 and 2

I.e $\frac{20}{7+s}$ = $\frac{6}{s}$

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴ s = $\frac{42}{14}$

I,e s = 3 miles per hour

So, The speed of biker = $S_2$ = s = 3 miles per hour

And The speed of cyclist = $S_1$ = 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

4 0

3 years ago

Michelle owns a hair salon. She has 150 customers per month. On average, the price Michelle

zhannawk [14.2K]

750
because she on average makes 3000 dollars a month, making her monthly profit 750 but if she needs to spend each month a 500 dollar more then she is only making 250 a month multiply 250 by 3 and she made 750

3 0

3 years ago

pllllllls I need help right triangle and trigonometry special right triangles find the value of each variable

yanalaym [24]

$\huge {\mathfrak{Answer : }}$

we know,

$\boxed{\cos( \theta) = \dfrac{base}{hypotenuse}}$

so,

$\cos(30) = \dfrac{24}{x}$

$\dfrac{ \sqrt{3} }{2} = \dfrac{24}{x}$

$x = \dfrac{24 \times 2}{ \sqrt{3} }$

$x = 8 \sqrt{3} \times 2$

$x = 16 \sqrt{3}$

now,

$\boxed{ \tan( \theta) = \frac{perpendcular}{base} }$

$\tan(30) = \dfrac{y}{24}$

$\dfrac{1}{ \sqrt{3} } = \dfrac{y}{24}$

$y = \dfrac{24}{ \sqrt{3} }$

$y = 8 \sqrt{3}$

6 0

3 years ago

Find all positive and negative integers b such that x^2+bx+22

notsponge [240]

Answer:

you require two numbers m and n such that. x² + bx + c = (x - m)(x - n) where. m + n = b. and. mn = c. In the case where c = 22 and m & n are integers, we have. mn = 22. But, the (positive) …

Step-by-step explanation:

3 0

3 years ago

Find the value of X in the parallelogram below.

nignag [31]

Answer:

Step-by-step explanation:

In paralellograms, the lengths of the parallel sides are equal to each other

As seen in the figure, the side that is parallel to the side that is represented with x has a length of 28 units, so the value of x is also equal to 28

4 0

2 years ago

Read 2 more answers