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3 years ago

in parallelogram abcd angle b is a right angle determine whether the parallelogram is a rectangle if so by what property

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.

The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.

So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.

Step-by-step explanation:

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likoan [24]

Answer:

c(t) = 25 +12 * t

where t is the number of shirts

Step-by-step explanation:

The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts

total = fee + cost per shirt* shirts

1825 = 25 +c*150

where c is the cost per shirt

We need to determine the cost per shirt by subtracting 25 from each side

1825-25 = 150c

1800 =150c

Divide by 150 on each side

1800/150 =150c/150

12 =c

Each shirt costs 12 dollars

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c(t) = 25 +12 * t

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3 years ago

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

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9 months ago

7 2/15+52/3+9 13/15 a. 20 2/3 B.21 10/15 C.21 2/3 D.22 2/3 pls do i will mark brainlessness

Andreyy89

Answer:

101/3 or 33 2/3

Step-by-step explanation:

7 2/15=107/15

9 13/15=138/15

107/15+52/3+138/15

107/15+138/15+52/3

245/15+52/3

245/15+260/15

505/15

simplify,

101/3

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3 years ago

Factor the polynomial by its greatest common monomial factor.

Gwar [14]

Answer: 3b^4(b+5-6b^3)

Step-by-step explanation:

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2 years ago

in parallelogram abcd angle b is a right angle determine whether the parallelogram is a rectangle if so by what property​

in parallelogram abcd angle b is a right angle determine whether the parallelogram is a rectangle if so by what property