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Oksanka [162]
2 years ago
10

Simplify fully 2√3 x 3√8​

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

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The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot
kherson [118]

Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

7 0
3 years ago
Write an equation for a parabola with x-intercepts (-4,0) and (5,0) which passes through the point (3. – 28).
Vanyuwa [196]

Answer:

y=a(x-p)(x-q)

y=a(x+2+√2)(x+2-√2)

passing through point (-1,1)

substitute

1=a(-1+2+√2)(-1+2-√2)

1=a(1+√2)(1-√2)

1=a(1-2)

1=a(-1)

a=1/(-1)

a=-1

y=-(x+[2+√2])(x+[2-√2])

y=-(x2+4x+2)

Thanks rate 5 stars

5 0
3 years ago
Which statement is true about the sum of two rational numbers?
Vanyuwa [196]
You never included the statement, please, message me back and so so. This is fairly hard to do, as there is no statement to pick...
7 0
3 years ago
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How
galina1969 [7]
The rate of giant tortoise is 1/10 meters per each second.
The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant <span>tortoise to travel 5 meters?
1 second : 1/10 m = X : 5 m
1/10x = 5
x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?
1 second : 1/2 m = X : 10 m
1/2x = 10
x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.
</span><span>So the cooter turtle can travel 10 meters in 20 seconds.</span>
6 0
3 years ago
Can someone please help me with this math problems
myrzilka [38]

97.


Formulas for surface area and volume of a rectangular prism (this is a cube, which is a special kind of rectangular prism; the same formulas can be used for both types of figures):


S.A. = 2(wh + lw + lh), where w is the width, h is the height, and l is the length

V = lwh; likewise, w is width, h is height, and l is length


Our width, length, and height are as follows:


w = 8

l = 8

h = 8


Plug these values into each formula and solve.


S.A. = 2(wh + lw +lh)

S.A. = 2(8(8) + 8(8) + 8(8))

S.A. = 2(64 + 64 + 64)

S.A. = 2(192)

S.A. = 384


V = lwh

V = 8 * 8 * 8

V = 512


Answer: S.A. = 384 cm²; V = 512 cm³.


98.


This is also a rectangular prism, so the same formulas will be used.


Width, length, and height:


w = 2

l = 12

h = 3


S.A. = 2(wh + lw + lh)

S.A. = 2(2(3) + 12(2) + 12(3))

S.A. = 2(6 + 24 + 36)

S.A. = 2(66)

S.A. = 132


V = lwh

V = 12 * 2 * 3

V = 72


Answer: S.A. = 132 in²; V = 72 in³.


99.


Formulas for S.A. and V of a right cylinder:


S.A. = 2πrh + 2πr², where r is the radius and h is the height

V = πr²h; r is the radius and h is the height


Radius and height:


r = 7

h = 3


S.A. = 2πrh + 2πr²

S.A. = 2π(7)(3) + 2π(7)²

S.A. = 42π + 2π49

S.A. = 42π + 98π

S.A. = 140π or approx. 440


V = πr²h

V = π(7)²(3)

V = π49(3)

V = 147π or approx. 462


Answer: S.A. ≈ 440 cm²; V ≈ 462 cm³.


100.


Same formulas as above. Notice we're given the diameter of the cylinder, however, rather than the radius. The radius is half the diameter, so the radius is 4.5 mm.


Radius and height:


r = 4.5

h = 13


S.A. = 2πrh + 2πr²

S.A. = 2π(4.5)(13) + 2π(4.5)²

S.A. = 117π + 2π20.25

S.A. = 117π + 40.5π

S.A. = 157.5π or approx. 495


V = πr²h

V = π(4.5)²(13)

V = π20.25(13)

V = 263.25π or approx. 827


Answer: S.A. ≈ 495 mm²; V ≈ 827 mm³.

6 0
3 years ago
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