A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters. what is the volume of the cone??

1 answer:

3 0

Cone Volume = (π • r² • h) ÷ 3


Cone Volume = (π • (5.2)² • 8.4) ÷ 3

Cone Volume = (3.14159 * 27.04 * 8.4) / 3 

Cone Volume = 237.85606208

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What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9

Kruka [31]

A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A

8 0

3 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$