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3 years ago

What is the area of this trapezoid?

Mathematics

2 answers:

saveliy_v [14]3 years ago

5 0

Answer:

in fact the answer is 139.5 inches

Step-by step explanation

i got it right on the test plz trust me

Andrej [43]3 years ago

4 0

Answer:

I belive the answer would be 108in

Step-by-step explanation:

Hope this helped! Let me know if it did!!

You might be interested in

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

4 years ago

My total owed with interest is $507.50. I borrowed $290 at 12.5% interest.How long was my loan for in years?

lapo4ka [179]

Answer:

Time = 6 years

Step-by-step explanation:

Data;

Simple interest = $507.50

Principal = $290

Rate = 12.5% = 12.5/100 = 0.125

Time = ?

To solve this question, we'll need to use the formula for simple interest

S.I = PRT / 100

S.I = P(1 + RT)

S.I = simple interest

P = principal

R = rate

T = time

S.I = P(1 + RT)

507.50 = 290(1 + 0.125*T)

507.50 = (290 × 1) + (290 * 0.125T)

507.50 = 290 + 36.25T

Solve for T

36.25T = 507.50 - 290

36.25T = 217.50

T = 217.50 / 36.25

T = 6

The time tenure on the loan was 6 years

8 0

3 years ago

Factoris fully 2ab² + 8a²b

drek231 [11]

Answer:

2ab(b + 4a)

Step-by-step explanation:

2ab² + 8a²b

Factor Out the 2:

2(ab² + 4a²b)

Factor Out the a:

2a(b² + 4ab)

Factor Out the b:

2ab(b + 4a)

4 0

2 years ago

notsponge [240]

Answer:

∠1=140

Step-by-step explanation:

∠1=∠3 ( corresponding angles)

20x+60=30x+20

-20x+30x=60-20

10x=40

x=4

∠1=20x+60=20(4)+60=140

3 0

3 years ago

How do I solve this using long polynomial division?

ExtremeBDS [4]

Sorry I don’t know that one but I recommend using the app photomath it really helps

4 0

3 years ago