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PIT_PIT [208]
3 years ago
15

If ,. The volume of tetrahedron whose three adjacent sides are represented by vectors is, where means angle between.

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:Given | a⃗ | = | c⃗ | = | c⃗ | = 2 Angle between a⃗ and b⃗ is pi3 a⃗·b⃗ = | a⃗ | | b⃗ |co

Step-by-step explanation:

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Find the GCF of the monomials: 72x^3 y^2 and 210x^2y^5
denpristay [2]

Answer: The GCF of the monomials is 1.

4 0
3 years ago
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The diagram shows a solid formed by joining a hemisphere, of radius rcm, to a cylinder, of radius rcm and height hcm. The total
posledela

Answer:

Step-by-step explanation:

The total surface area of the sphere = 2πr²

Total surface area of the cylinder = 2πr²+2πrh

Total surface area of the solid = 4πr²+2πrh

r is the radius of the sphere and the cylinder

h is the height of the cylinder

Total surface area of the solid = 2πr(r+h)

If the total height of the solid is 18 cm, then r+h = 18cm

Given the Total surface area of the solid = 205π cm

205π = 2πr(r+h)

205π = 2πr(18)

205π = 36πr

205 = 36r

Divide both sides by 36

205/36 = 36r/36

r = 5.69cm

Since  r+h = 18cm

5.69+h = 18

h = 18-5.69

h = 12.31cm

6 0
3 years ago
What value of x satisfies this equation, 4/5 x - 6 = -2 ? Group of answer choices
andrew11 [14]

Answer:

12

Step-by-step explanation:

4/5 x -6 = -2

4 x -30 = -10

-120 = -10

12

5 0
3 years ago
Evaluate. <br> 6[5(3-9)-1]+2/7(8-2)+4
GREYUIT [131]
If you would like to evaluate 6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4, you can calculate this using the following steps:

6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4 = 6 * [5 * (-6) - 1] + 2/7 * 6 +  4 = 6 * [- 30 - 1] + 12/7 + 4 = 6 * [- 31] + 12/7 + 4 = - 186 + 12/7 + 4 = - 182 + 12/7 = - 1274/7 + 12/7 = - 1262/7

The correct result would be - 1262/7.
6 0
3 years ago
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The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same
san4es73 [151]

Answer:

Step-by-step explanation:

Z=\frac{x-mu}{\sigma }

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z=\frac{72-64}{2.7} =2.963

b) Y = 72"

z=\frac{72-69.3}{2.8} =0.965

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

Z<\frac{65-69.3}{2.8} =-1.536

e) X>73"

Z>\frac{73-64}{2.7} =3.33

Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

5 0
3 years ago
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