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3 years ago

0.03x10 by the power of 5

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

Answer:

0.09

Step-by-step explanation:

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Which line is a directrix of the hyperbola? A B C D

hoa [83]

Answer:

The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.

The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.

Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.

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3 years ago

The angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

mojhsa [17]

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

1 : 2 : 3 = 6 (1 + 2 + 3)
x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

1 × 30 = 30°
2 × 30 = 60°
3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!

3 0

3 years ago

Read 2 more answers

The ratio of areas of two triangles with common base is 4:5. The height of smaller triangle is 6cm. Find height of greater trian

8_murik_8 [283]

Answer:

Height of the greater triangle is 7.5 cm (Approximately).

Step-by-step explanation:

Given that

The ratio of two triangles with common base = 4:5

Let they be 4x cm² and 5x cm²

The area of the bigger triangle = 5x cm²

The area of the smaller triangle = 4x cm²

also,

Given that

The base of two triangles are same

Let the base of the two triangles be b cm

Height of the smaller triangle = 6 cm

Now,

Area of the triangle = (1/2)×base×height sq.units

⇛Area of the smaller triangle

⇛(1/2)×b×6 = 4

⇛6b/2 = 4

⇛3×b = 4

⇛b= 4/3 cm

.°. b = 4/3 cm

Now,

The length of the base = 4/3 cm

Area of the greater triangle = 5 cm²

⇛(1/2)×(4/3)×h = 5

⇛(4/6)×h = 5

⇛(2/3)×h = 5

⇛h = 5/(2/3)

= 5×3/2

= 15/2

⇛h = 7.5 cm (Approximately)

<u>Answer</u><u>:</u> Therefore, Height of the greater triangle is 7.5 cm.

Please let me know if you have any other questions.

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2 years ago

Evaluate |x| + (-2x 2) for x = 3.

Amiraneli [1.4K]

<h2>Hello!</h2>

The answer is:

$f(3)=|x|+(-2x^{2})=-15$

Evaluating a function means replacing the variable with the given value (3 for this case).

To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:

$|-3|=3\\|-4|=4$

So, we are given the function:

$f(x)=|x|+(-2x^{2})$

Then, evaluating we have:

$f(3)=|3|+(-2*(3)^{2})=3+(-2*9)=3-18=-15$

Hence, the answer is:

$f(3)=|x|+(-2x^{2})=-15$

Have a nice day!

4 0

3 years ago

Jake has a pool in his backyard. He wants to know how much water it holds.

lisabon 2012 [21]

Answer:

B 4.05^3

Step-by-step explanation:

Just mulityply

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3 years ago

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