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3 years ago

What is the area of the trapezoid shown below?

Mathematics

2 answers:

valentina_108 [34]3 years ago

7 0

Answer:

C. 78 sq. units

Step-by-step explanation:

$area \: of \: trapezoid \\= \frac{1}{2} \times (19 + 7) \times 6 \\ = 26 \times 3 \\ = 78 \: sq \: units$

Olegator [25]3 years ago

5 0

Answer:

Step-by-step explanation:

7+8/2 multiply by 6

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Centerview Elementary holds a canned food drive each year. This year they collected 42 cans of food. Last year they collected 21

kap26 [50]

42-21

21

ANSWER: 21 more cans

6 0

3 years ago

Integrala x la a treia ori ln la a doua dx va rog

Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

$\displaystyle \int x^3 \ln(x)^2 \, dx$

Integrate by parts:

$\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du$

where

u = ln(x)² ⇒ du = 2 ln(x)/x dx

dv = x³ dx ⇒ v = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx$

Integrate by parts again:

$\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'$

where

u' = ln(x) ⇒ du' = dx/x

dv' = x³ dx ⇒ v' = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx$

So, we have

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C$

$\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}$

3 0

2 years ago

CAN ANYONE HELP ME ANSWER THIS PLEASE

HACTEHA [7]

Answer: 14/45

Step-by-step explanation: The probability that they first event will occur is 2/10. The probability that the second event will occur is 1/9. If you multiply those like it says in the hint you will get 14/45. (I think this is right)

5 0

2 years ago

Find the smallest perimeter and the dimensions for a rectangle with an area of 36 in^2

Tpy6a [65]

This is a square with area 36 in^2

So dimensions are 6 * 6 ins and perimeter = 24 ins.

3 0

3 years ago

Harper scores 24 points per coin. In all, how many coins does Harper have to collect to

Mrac [35]

Answer:

2 coins

Step-by-step explanation:

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3 years ago

Read 2 more answers