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2 years ago

Which expression is equivalent to the given expression? 2√20 × 4√6

Mathematics

1 answer:

lapo4ka [179]2 years ago

7 0

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

2*4 sqrt(20*6)

8 sqrt(120)

Simplifying

8 sqrt(4 *30)

We know sqrt(ab) = sqrt(a) sqrt(b)

8 sqrt(4) sqrt(30)

8 *2* sqrt(30)

16 sqrt(30)

You might be interested in

find the length of a rectangular lot with a perimeter of 140 m if the length is 6 m more than the width.

satela [25.4K]

The width would be x.
the length would be x+6
there are two of each (since it’s a rectangle)
so x+x+x+6+x+6=140
simplify
x= 32
l= 38
w= 32

7 0

2 years ago

Find the indicated angle . (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 16, c = 12, and ∠C = 4

mote1985 [20]

Use the law of sines
11/sin50°=13/sinθ
11/0.766=13/sinθ
11sinθ=13(0.766)
11sinθ=9.958
sinθ=9.958/11
sinθ=0.9052727
use arcsin on your calculator
θ=64.86°

7 0

1 year ago

8x-1<15 NO one will help plss someone hellpppp

romanna [79]

Answer:

x < 2

Step-by-step explanation:

8x -1 < 15

8x -1 (+ 1) < 15 (+ 1)

8x < 16

$\frac{8x}{8} < \frac{16}{8}$

x < 2

7 0

2 years ago

Read 2 more answers

Write in slope intercept for slope being -5/7 and passes through (-4,-5)

frutty [35]

Answer:

y = -5/7x - 55/7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = -5/7

Random point (-4, -5)

y = -5/7x + b

Step 2: Find y-intercept b

-5 = -5/7(-4) + b

-5 = 20/7 + b

b = -55/7

Step 3: Write linear equation

y = -5/7x - 55/7

4 0

2 years ago

If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (re

Aleksandr-060686 [28]

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

$\omega = \frac{v}{r}$

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

$\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm$

Therefore, the tires are spinning at 660.49 revolutions per minute.

I hope it helps you!

5 0

2 years ago