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2 years ago

Which phrase best describes this polygon?

Mathematics

1 answer:

EleoNora [17]2 years ago

8 0

Answer:

Concave octagon

Step-by-step explanation:

Concave octagon:

This polygon has 8 sides. So it is a octagon.
If one interior angle measures more than 180, then it is concave polygon.

So, this is a concave octagon

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458 students went on a school field trip. Ten buses were filled, and 8 students traveled in cars. How many students were on each

RoseWind [281]

8 students traveled in cars, which means that 450 students traveled by bus.
Since there were 10 buses, just divide the number of students by the number of buses.
450 / 10 = 45
There were B. 45 students on each bus.

7 0

3 years ago

Read 2 more answers

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Alja [10]

Answer:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: $(a +b)^n, n > 0$

Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.

Here, $(a+b)^n = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}$

or, on simplification, the terms of the expansion are:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

The above statement holds for each n > 0

Hence, the complete expansion for the given expression is given as above.

4 0

3 years ago

Read 2 more answers

X +y=5, 3x-2y+5=0, this is the question

Neko [114]

Step-by-step explanation:

x+y=5

3x-2y+5=0

3x-2y= -5

x+y=5...... equation 1

3x-2y= -5....... equation 2

there fore make x the subject of the formula in equation 1

x=5-y.. equation 3

substitute equation three in equation 2

3(5-y)-2y=-5

15y-3y-2y=-5

10y=-5

divide both sides by 10

y=-5/10

y=-½

substitute y into equation 1

x+(-½)=5

x=5+½

x=5½

x=5½,y= -½

4 0

3 years ago

Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4. a.176 b.180 c.215 d.216

Tom [10]

The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × $2^{6}$ + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - $2^{6}$ )
Collect the like terms with a base of 2.
2( $2^{6}$ + 3 × 2³)
Evaluate the power of 2³.
2( $2^{6}$ + 3 × 8)
Evaluate the power of $2^{6}$ .
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)

5 0

3 years ago

Please help !!! 3x+8y x = 7 y = -2

Vinil7 [7]

Answer: 5

Step-by-step explanation:

you do each variable individually first, 3(7)=21, 8(-2) is -16, then you add them, 21-16=5 so that is your answer

4 0

3 years ago