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2 years ago

The three altitudes of a triangle intersect at the:

Mathematics

1 answer:

Oxana [17]2 years ago

7 0

<h3>Answer: orthocenter</h3>

Explanation:

An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.

Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the <u>orthocenter</u>. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.

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Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

dmitriy555 [2]

9514 1404 393

Answer:

18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

32·18·12 = 24·16·h

(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

6 0

3 years ago

HELP I DON'T UNDERSTAND THIS AT ALL!!!

Hatshy [7]

D__ is 7.5<x

C is x<10

Step-by-step explanation:

just do the inequality and graph

7 0

2 years ago

Need help will give brainist

ikadub [295]

Photomath i use it for my math all the time it gives you the option for how you wanna solve it and shows you how to solve it

3 0

2 years ago

Read 2 more answers

I NEED HELP PLEASE, THANKS! :)

NISA [10]

Answer: $\bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}$

<u>Step-by-step explanation:</u>

Note the following identities: tan² x = sec²x - 1

$\sec x=\dfrac{1}{\cos}$

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0 sec x - 1 = 0

sec x = -2 sec x = 1

$\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0$

8 0

3 years ago

Read 2 more answers

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

torisob [31]

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x $\leq$ -4 = (-∞, -4]

X $\geq$ 5

Equal to = bracket

X is any number above 5, so

[5, ∞)

Because we want both of these, we use the union sign (∪)

so,

= (-∞, -4] ∪ [5, ∞)

8 0

2 years ago