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Leya [2.2K]
3 years ago
7

a square is a figure with two pairs of parallel sides and four write angles. is the statement a good definition? if not find a c

ounterexample
Mathematics
2 answers:
Ahat [919]3 years ago
7 0
The statement is not a good definition.

A counterexample is a rectangle.

A rectangle has two pairs of parallel side and four right angles, but it is not a square.
sertanlavr [38]3 years ago
5 0
No, because that could easily be defining a rectangle as well as a square.

A square is a figure with two pairs of parallel sides of the same length, and four right angles.
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Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)
AleksAgata [21]

Step-by-step explanation:

Given the expression, (3y ^ 6 + 4)  (9y ^ {12} - 12y ^ 6 + 16), we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\=  (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\=  3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

<em>Hence none of the operations given results in a binomial</em>

3 0
3 years ago
A cab company charges three dollars per cab ride plus an additional two dollar per mile driven how long is a cab ride that cost
Sav [38]

If the ride cost $9 then the miles will be 3 miles.

Step-by-step explanation:

In this question we are given:

Cost of one cab ride R = $3

Additional Cost per mile M = $2

So, Total cost of Cab Ride = $3 + $2M

If cost of cab ride is $9 then we need to find the miles

$3 + $2M = $9

Solving

$2M = $9 - $3

$2M = $6

=> M = $6/$2

M = 3 miles

So, if the ride cost $9 then the miles will be 3 miles.

Learn more:

You can find more information at:

brainly.com/question/11207748

brainly.com/question/1600376

Keywords: algebraic expressions, solve an equation

#learnwithBrainly

6 0
4 years ago
Pls help me I rlly don’t get it :(
zhenek [66]

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Let's start with #12.  The hypotenuse is 18.  The side adjacent to ∠B is 6.  Since we have the adjacent side and hypotenuse, we should use cosine.

cos B = 6/18

Solving for B:

B = cos⁻¹(6/18)

Using a calculator:

B ≈ 70.5°

Now let's do #14.  The side adjacent to ∠B is 19, and the side opposite of ∠B is 22.  Since we have the adjacent side and opposite side, we should use tangent.

tan B = 22/19

Solving for B:

B = tan⁻¹(22/19)

Using a calculator:

B ≈ 49.2°

8 0
3 years ago
Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.
antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

4 0
4 years ago
How many cups are in a gallon°ω°
Evgen [1.6K]

Answer:

16 cups

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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