Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
Answer:
The volume of the rectangular prism is 0.25cm^3
Step-by-step explanation:
In this question, we are asked to calculate the volume of a rectangular prism given the measurements in the question.
Mathematically, the volume of a rectangular prism can be calculated according to the formula below;
V = l * w * h
where l, w and h represent the length, width and height respectively
from the question l = 3/4 cm, w = 2/3 cm and h = 1/2 cm
let’s input these values, we have;
V = 3/4 * 2/3 * 1/2 = 1/4 = 0.25 cm^3
if the point (9,26) lies on the graph y=f(x) then y= {inverse function} must contain (26,9)
The inverse of function:
A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. The inverse function is denoted by or if the function is represented by "f" or "F"
Given (x,y)=(9,26)
i.e.f(x)=y
⇒f(9)=26
inverse means swap x and y
i.e. y=
⇒ = y
⇒=9
Therefore, y= must contain (26,9).
Complete question: if the point (9,26) lies on the graph y=f(x), the graph of y= must contain what point
Learn more about inverse function here:
brainly.com/question/2541698
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It is on Sunday,September 23 @1:10 P.M .
Answer:
r = 10.72 cm
Step-by-step explanation:
h = 6 cm
Volume of cone = 722 cubic cm