Given:
length = 6
width = 5
height = 9
Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916 ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.
Given:
Pyramid base = 12 cm
height = 8 cm
We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.
a² + b² = c²
a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c Answer is letted D. 10 cm.
Answer:
It's the first choice y = (-5/2)x - 1.
Step-by-step explanation:
First find the slope of the line 5x + 2y = 12 by converting to slope-intercept form.
5x + 2y = 12
2y = -5x + 12
y = (-5/2)x + 6 so the slope is (-5/2).
The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:
y - 4 = (-5/2)(x - -2) (the point-slope form)
y - 4 = (-5/2)(x + 2)
y = (-5/2)x - 5 + 4
y = (-5/2)x - 1 (answer)
Answer:
x=-16
Step-by-step explanation:
We are given with the equation
We are asked to solve it for x.
Distributing 
over bracket and simplifying
Adding 8 on both sides
Dividing both sides by -3
Answer:
Step-by-step explanation:
You would divide the yards by 5 to get the inches.
Length - 2in
width - 2 2/3
