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4 years ago

The figure below shows two parallel lines cut by a transversal:

Mathematics

1 answer:

Novay_Z [31]4 years ago

7 0

Answer:

C: They add up to 180 degrees, because they are a pair of supplementary angles

Step-by-step explanation:

<1 and <2 add up to 180 degrees, so they are supplementary angles.

Complementary angles add up to 90 degrees.

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From a 28-inch by 28-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to mak

elixir [45]

Answer:t The volume of the box as a function of x is given by

$Volume=(28-2x)^2x$

Step-by-step explanation:

Since we have given that

Length of metal = 28 inch

Width of metal = 28 inch

Since squares are cut out of the four corners so that the sides can then be folded up to make a box.

Let the length of the sides of the squares that are cut out be 'x'.

So, Length of box would be

$28-2x$

Width of the box would be

$28-2x$

Height of the box would be x.

As we know the formula for "Volume of box":

$Volume=(28-2x)(28-2x)x\\\\Volume=(28-2x)^2x$

Hence, the volume of the box as a function of x is given by

$Volume=(28-2x)^2x$

3 0

3 years ago

Witch is bigger when you add 3.675 to 2 tenths and 4

Brilliant_brown [7]

Is bigger to what lol well 3.675 plus .2 = 3.875 so it is not bigger than 4 so the answer is 4 is bigger! XD lol i hope that is what you were trying to figure out if not just message me back n il help ya out k XD

6 0

3 years ago

11. Caroline wraps packages at a store. She wraps

Eddi Din [679]

Answer:

C. in five hours Caroline wraps an odd number of packages

Step-by-step explanation:

for A until hours you would multiply 2 by 9 and 2 by 9 is 18 and that's an even number so it's not A.

A eliminated.

for B in 3 hours 3 by 9 is 27 and that's an odd number so B is automatically eliminated.

for C in 5 hours all you would do is multiply the 9 by 5 and 9 by 5 is 45 and 45 is indeed an odd number so C is your answer.

for D 7 by 9 is 63 and 63 is an odd number so we already know that C is the answer but still we got to check and D is wrong because 63 is not an even number.

8 0

4 years ago

David didn’t study for his introduction to logic exam consisting of 15 true-false questions. He did blind guessing on each quest

MakcuM [25]

Answer:

a) 0.1509

b) 0.8314

Step-by-step explanation:

Since there are only two options for each question, the probability that he guesses right is p = 0.50, and the probability that he guesses wrong is q = 0.50

There is a total of 15 questions in the test so we can use the formula for a binomial distribution with parameters n = 15, p = 0.5, q = 0.5

a) If he needs to score 10 or more correct to pass, what is the probability that he will fail the exam?

To find this probability we will need to find the probability:

P ( X < 10) or

(1 - P (x ≥10))

Remember that the formula for a binomial distribution is:

$P(x) = \left[\begin{array}{ccc}n\\x\end{array}\right] p^{x} q^{n-x}$

We can solve this by using the parameters given before and make x = 10, 11, 12, 13, 14, 15 and use the formula:

P(he fails the exam) = 1 - P (x≥10)

= 1 - (P(x=10) + P(x=11) + P(x=12) + P(x=13) + P(x=14) + P(x=15))

= 0.1509

b) Find the probability that he answers 6 to 11 inclusive)

We're going to use the same formula but we will do:

P (x = 6) + P (x = 7) + P (x = 8) + P (x = 9) + P (x = 10) + P (x = 11)

=0.1527 + .1964 + .1964 + 0.1527 + 0.0916 + 0.0416

= 0.8314

Therefore the probability that he answers 6 to 11 inclusive is 0.8314

4 0

3 years ago

What is the value of -10 - (-11) ?

Luda [366]

Step-by-step explanation:

Hey there!

Answer: 1

Here;

= -10 - (-11)

= -10 +11 [ (-)×(-)= +]

= 1

Hope it helps...

6 0

3 years ago