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2 years ago

A song has 28 beats in 4 seconds . At this rate ,how many beats are there in 30 seconds?

Mathematics

2 answers:

miv72 [106K]2 years ago

5 0

This is like math.. 28 divided by 4 = 7.. 7 x 30 = 210 so your answer is 210.

devlian [24]2 years ago

4 0

You need to make a proportion

beats 28 x
seconds 4 30

cross multiply and divide

(28) (30) = 4x

840 = 4x
210 = x

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Determine whether line AB and line CD are parallel, perpendicular, or neither. A( 4, 2), B(-3, 1), C(6, 0), D(-10, 8)

Lapatulllka [165]

Answer:

<h2>neither</h2>

Step-by-step explanation:

If AB an CD are parallel, then their slopes are the same.

If AB and CD are perpendicular, then the product of their slopes is equal -1.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Calculate the both slope:

$A(4,\ 2),\ B(-3,\ 1)\\\\m_{AB}=\dfrac{1-2}{-3-4}=\dfrac{-1}{-7}=\dfrac{1}{7}\\\\C(6,\ 0),\ D(-10,\ 8)\\\\m_{CD}=\dfrac{8-0}{-10-6}=\dfrac{8}{-16}=-\dfrac{1}{2}\\\\=============================$

$m_{AB}\neq m_{CD}$

The line AB and line CD are not parallel

$m_{AB}\cdot m_{CD}=\left(\dfrac{1}{7}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{14}\neq-1$

The line AB and line CD are not perpendicular.

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2 years ago

Pythagorus' Theroem

stellarik [79]

C x c = a x a + b x b
c x c = 6 x 6 + 2 x 2
c x c = 36 + 4
square root of c x c = 40
c = 6.32
therefore, the rope is 6.32m

hope that helped ☺️

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