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den301095 [7]
4 years ago
5

Refer to the following conditional statement: If a and b are odd integers, then a • b is an odd integer. Which shows the hypothe

sis? A. a and b are not odd integers B. a • b is not an odd integer C. a and b are odd integers D. a • b is an odd integer
Mathematics
1 answer:
sineoko [7]4 years ago
5 0
A is not part of the problem, and it's what makes the condition false.  B is the opposite of the statement being proved.  C is the condition, not the hypothesis.  However, D is the statement we are trying to prove, or the hypothesis.
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The second side of a triangular deck is 3 feet longer than the shortest​ side, and the third side is 3 feet shorter than twice t
Eddi Din [679]

Answer:

The length of the shortest​ side is 18 ft

The length of the second side is 21 ft

The length of the third side is 33 ft

Step-by-step explanation:

Let

x ------> the length of the shortest​ side

y -----> the length of the second side

z ----> the length of the third side

we know that

The perimeter of the deck is

P=x+y+z

P=72 ft

so

72=x+y+z ------> equation A

y=x+3 ------> equation B

z=2x-3 -----> equation C

substitute equation B and equation C in equation A and solve for x

72=x+(x+3)+(2x-3)

72=4x

x=72/4

x=18 ft

Find the value of y

y=18+3=21 ft

Find the value of z

z=2(18)-3=33 ft

therefore

The length of the shortest​ side is 18 ft

The length of the second side is 21 ft

The length of the third side is 33 ft

8 0
3 years ago
A circle has a circumference of 44m. What
MakcuM [25]
<h3>Answer: B. 154 square meters</h3>

================================

Work Shown:

C = 44 is the circumference

in general, the circumference of a circle is

C = 2*pi*r

Plug in C = 44 and solve for r.

C = 2*pi*r

44 = 2*pi*r

2*pi*r = 44

r = 44/(2pi)

r = 7.0028175 which is approximate

--------------------

Now plug this into the formula for the area of a circle

A = pi*r^2

A = pi*(7.0028175)^2

A = 154.061985

A = 154 rounding to the nearest whole number

3 0
4 years ago
Read 2 more answers
3/16 x 4/21 in simplest form
HACTEHA [7]
3/16 x 4/21 simplify to 7
3 0
3 years ago
Read 2 more answers
Find the next three numbers<br> 3,12,48,192,768
padilas [110]

Answer:

3072,12288, 49152

Step-by-step explanation:

Multiply the result of each number by 4.

6 0
3 years ago
Suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. The colors are listed in the table. On Monday, she randoml
Lisa [10]
<span>Answer: Option D. 1/12

We have:
3 Necklaces (red, green, and gold)
2 Bracelets (red and black)
6 hats (silver, yellow, green, gold, black, and white)

The number total of combinations is:
C=3x2x6→C=36 possible combinations

What is the probability of Suzy choosing a red bracelet and silver hat?
Possible combinations with a red bracelet and silver hat:
C1=1 (red bracelet) x 1 (silver hat) x 3 (necklaces: red, green, and gold)
C1=3 possible combinations with a red bracelet and silver hat

Probability of Suzy choosing a red bracelet and silver hat: P=C1/C
P=3/36

Simplifying the fraction dividing the numerator and the denominator by 3:
P=(3/3) / (36/3)
P=1/12

Answer: The probability of Suzy choosing a red bracelet and silver hat is 1/12</span>
4 0
3 years ago
Read 2 more answers
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