Arectangular prism has a length width and height of 2/3 inch 3/5 inch and 4/7 inch respectively the volume of the rectangular prism is cubic inch

A rectangular prism has a length width and height of 2/3 inch 3/5 inch and 4/7 inch respectively the volume of the rectangular prism is 8/31 cubic inch.

Step-by-step explanation:

v = l * b * h

v = 2/3 * 3/5 * 4/7

v = 8/31 inch cube

 24/105

Step-by-step explanation:

Multiply denominators --> 3*5*7= 105

Multiply numerators--> 2*3*4= 24

numerator/denominator= 24/105

Tada!

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)