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kipiarov [429]
3 years ago
7

What is the area of the composite figure?

Mathematics
1 answer:
Liula [17]3 years ago
8 0
I cant see one of the numbers
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Find the measure of the arc or angle indicated.
Shkiper50 [21]

9514 1404 393

Answer:

  arc AC = 63°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BAC, so is ...

  arc AC = 2×89° = 178°

The remaining arc of the circle is the difference between 360° and the sum of the other two.

  arc AC = 360° -119° -178°

  arc AC = 63°

4 0
3 years ago
Determine whether the statements in (a) and (b) are logically equivalent.
Andru [333]

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

5 0
3 years ago
Read 2 more answers
Divide 0.008 divided by 0.25.
Natalija [7]

Answer:

0.032

Step-by-step explanation:

.008/.25

Use a calculator or do it on google

5 0
3 years ago
Read 2 more answers
The scatterplot shows the number of free throws that different basketball players attempted and the number that each player made
Brut [27]
Y= 3x + 7
y= 3x + 5
y= 3x + 6
y= 3x + 3
4 0
3 years ago
Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
Airida [17]
Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
13.5g + 540 = 1512

Subtract 540.
13.5g = 972

Divide by 13.5
g = \frac{972}{13.5} = 72

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
8 0
3 years ago
Read 2 more answers
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