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ikadub [295]
3 years ago
13

Help me with the 3 of them

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
41) 10/12, 20/24, 40/48
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A pyramid with a square base of length 3cm and height 16cm
Oksana_A [137]
H = 16 cm
s = 16.0702 cm
a = 3 cm
e = 16.14 cm
r = 1.5 cm
V = 48 cm3
L = 96.421 cm2
B = 9 cm2
A = 105.421 cm<span>2

The volume of a square pyramid:V = (1/3)a2hSlant Height of a square pyramid:By the Pythagorean theorem, we know thats2 = r2 + h2since r = a/2s2 = (1/4)a2 + h2, ands = √(h2 + (1/4)a2)This is also the height of a triangle sideLateral Surface Area of a square pyramid (4 isosceles triangles):For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a, and for this calculation our height for the triangle is slant height s.  With four
 sides we need to multiply by 4.L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)Squaring the 2 to get it back inside the radical,L = a√(a2 + 4h2)Base Surface Area of a square pyramid (square):B = a2Total Surface Area of a square pyramid:A = L + B = a2 + a√(a2 + 4h2))A = a(a + √(a2 + 4h2))</span>
6 0
3 years ago
Which of the following is a complex number?
Olin [163]

Answer:

The correct answer is option C , 4 + 9i

Step-by-step explanation:

A complex number is the one which has a real number and an imaginary number.

In all the example given , option C 4 + 9i has "i" which signifies the imaginary number which nothing but a negative square root.


3 0
3 years ago
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

5 0
3 years ago
-7x+12-2x=23+13x simplify by combining like terms that are on the same side of the equation
zavuch27 [327]
-7x+12-2x=23+13x

First take away 13x from the right side and put it on the left side adding taking it away from -7x 

-7x(-13x)=-20x
-20x+12-2x=23

then add 2x to -20x
and move 12 to the other side, minus it off of 23

-18x=11

then divide -18x on both sides 

then x=-11/18

6 0
3 years ago
The mass of a cube,
Nonamiya [84]

The mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

<h3>What is a proportional relationship?</h3>

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

M ∝ L³

After removing proportional sign

M = cL³

Plug M = 50 kg and L = 70 cm = 0.7 m

50 = c(0.7)³

c = 145.77 kg/m³

If L = 0.9 m, then M

M = (145.77 kg/m³)(0.9 m)³

M = 106.266 ≈ 106.27 kg

Thus, the mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ1

3 0
2 years ago
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