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3 years ago

7

Evaluate 2× √49/14 trkylzzzzzzzzzzzzzzzzzzzxy

1 answer:

Alexxx [7]3 years ago

8 0

Answer: 1

Step-by-step explanation:

Given the expression :

Evaluate : 2× √49/14

2 * (√49) / 14

√49 = 7

2 * (7 / 14)

2 * (1 / 2)

2 /2

= 1

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Need help !Which picture shows the correct graph of |x| = 3?

lana66690 [7]

Answer:

F. Picture F

Step-by-step explanation:

4 0

3 years ago

Someone help me please :(

Aleksandr-060686 [28]

9514 1404 393

Answer:

A. ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

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3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola

Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0

3 years ago

y-1/6x+5=0 Is this written in standard form if not then what is the equation in standard form. A.yes B.no;y=1/6x-5 C.x=-6y+30 D.

trasher [3.6K]

Answer:

Step-by-step explanation:

Not in standard form. The coefficients should be integers and the coefficient of x should be positive.

x+6y=30

Note that the choices given are not in standard form.

7 0

3 years ago