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3 years ago

Please help ASAP THANKS x

Mathematics

1 answer:

Trava [24]3 years ago

8 0

The formula of the volume of the sphere:
$V=\dfrac{4}{3}\pi r^3$
We have a diameter. It's equal double radius.
Therefore
$2r=9\dfrac{1}{2}\\\\2r=9.5\ \ \ |:2\\\\r=4.75\ in.$

$V=\dfrac{4}{3}\pi\cdot(4.75)^3\approx449\ in^3.$
Answer: D. 449 cubic inches.

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Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x

Radda [10]

Answer:

${\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}$

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is $\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1$

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are $y = k \pm \dfrac{b}{a}(x - h)$

1. Calculate h and k. The hyperbola is symmetric about the origin, so

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3

3. For 'b': The equation for the asymptote with the positive slope is

$y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x$

Thus, asymptote has the slope of

$\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}$

4. The equation of the hyperbola is

$\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}$

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

7 0

2 years ago

X+8=17 what is the value of x makes the sentece true

melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

17 = 17

7 0

3 years ago

Can someone help me

algol [13]

Answer:

A)310.18g/mol

B)84.9947g/mol

C)108.01 g/mol

d)159.7g /mole(Approx)

e)Coc12 g/mol

f) A1(OH)3 g/mol

g)83.9949 g/mol

h)197.9 g/mol

i)18.01529 g/mol

Step-by-step explanation:

Hope u happy with my answer...

please mark me as brainlest

7 0

2 years ago

James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the

charle [14.2K]

Answer:

1/6

Step-by-step explanation:

4 0

2 years ago

PLS HELP WILL GIVE BRAINLIEST ANSWER

lubasha [3.4K]

Answer:

56°

Step-by-step explanation:

First, the measure of angle GHE is equal to DFH. This means that you can set 98-6x=63-x, which becomes 5x=35 so x=7. Substitute 7 for x and you'll get DFH =63-7, which is 56.

8 0

2 years ago