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Likurg_2 [28]
2 years ago
11

What is the area of the parallelogram

Mathematics
1 answer:
Airida [17]2 years ago
3 0

Answer:

  24 square units

Step-by-step explanation:

For such questions it is convenient to choose the "base" to be a segment that is aligned with one of the coordinate axes. Here, the horizontal segments will serve. Their length is the difference between the x-coordinates of the end points, -2 -(-6) = 4, for example.

The height is measured perpendicular to the base, so will be the difference between the y-coordinates of the horizontal segments: 2 -(-4) = 6.

The area is given by the formula ...

  A = bh

  A = 4·6 = 24 . . . square units

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Plutonium-240 decays according to the function Q(t) = Qoe^-kt
LuckyWell [14K]

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

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  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

5 0
2 years ago
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
gladu [14]
Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20  min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min

The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

7 0
3 years ago
Which one of the following options is true when considering the expansion of
Ilya [14]

Answer:

c The expansion of (x + y)^6 will yield 7 terms

Step-by-step explanation:

(x + y)^6 =

x^6 +6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6

so its a no on A

its a no on B because its missing a 20

its a yes on c

its a no on d because the sum is 6

so c

5 0
3 years ago
A window in the shape of a parallelogram has the dimensions given.
devlian [24]

Answer:

A. 20ft

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
When finding the least common denominator you have to multiply the number by other factors such as 1,2,3 etc. true or false help
Mashutka [201]

Answer:

True

Step-by-step explanation:

  • One way to find the least common multiple of two or more numbers is to first multiply each by 1, 2, 3, etc.
4 0
2 years ago
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