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2 years ago

Convert 111.11 base 2 to base 10

Mathematics

1 answer:

lapo4ka [179]2 years ago

7 0

Answer:

Step-by-step explanation:

111.11 is an invalid format, 11111 is 31 from binary (base 2) to base 10

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Find the equivalent ratio of 15/5 and 45/15?

mixer [17]

1. 3 0/5

2. 3 0/15

These are your answers

4 0

3 years ago

Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x

alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0

3 years ago

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Dafna1 [17]

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

7 0

3 years ago

At some department store, all suits are reduced 30% from the retail price. If a man purchased a suit that originally rera ec for

Arisa [49]

Answer:

$78.72

Step-by-step explanation:

To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value

30% is equivalent to 0.30, $\frac{30}{100}$ , and $\frac{3}{10}$
So we can use either of these values. I will use 0.30 for simplicity

($262.40)(0.30) = $78.72 is the amount saved

5 0

3 years ago

Please help me , at least do one and explain it please .

Len [333]

9514 1404 393

Answer:

113.0 cm²
2464.0 in²
95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

A = (3.14)(6 cm)² = 113.0 cm²

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

A = (22/7)(28 in)² = 2464 in² . . . . see comment

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

A = (3.14)(5.5 ft)² = 95.0 ft²

_____

<em>Additional comment</em>

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

7 0

2 years ago