All categories

2 years ago

The height of a right triangle is √6 units and the base is √9 units. Find the area of the triangle

Mathematics

1 answer:

In-s [12.5K]2 years ago

3 0

Answer:

Step-by-step explanation:

h = √6 units

b = √9 units

A = b*h/2 = √6·√9 /2 = √(6·9)/2 = √(2·3·3·3)/2 = 3√3 /2 units ²≈ 2.6 units²

You might be interested in

Divide. −4 1/3÷−2 3/5 123 145 215 235

Over [174]

Answer:

1.66666666667

Step-by-step explanation:

6 0

2 years ago

a meteor train in Delhi carried 4865 passengers in 16 trips.Each trip had an equal number is passengers how many passengers trav

Musya8 [376]

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

Ace Carlos

7 0

3 years ago

Jen had 60 fossils. If she put 6 fossils in each box, how many boxes were there?

Monica [59]

Answer:

10 boxes

Step-by-step explanation:

Take the number of fossils and divide by the number per box to determine the number of boxes

60/6 = 10

She needs 10 boxes

5 0

3 years ago

Read 2 more answers

Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.

Shtirlitz [24]

Answer:

$\displaystyle 1\frac{1}{3}$

Step-by-step explanation:

[3, 1] and [0, −3]

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 1}{0 + 3} = \frac{4}{3} = 1\frac{1}{3}$

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

Derivative of <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago