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nordsb [41]
3 years ago
7

Select the mixed number or fraction that is equivalent to 32.029.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0
<span>if mixed number: </span>32\frac{29}{1000}
if improper fraction then:\frac{32029}{1000}
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Find the values of the variables for the parallelogram if m&lt;1=4y-2. Round your answers to two decimal places if necessary!
hichkok12 [17]

The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.

The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

\begin{gathered} 4y-2=90 \\ 4y=92 \\ y=23 \end{gathered}

The value of y is 23.

The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

\begin{gathered} 3x=45 \\ x=15 \end{gathered}

Thus, the value of x is 15 degrees.

The value of 12z is 45 degrees.

\begin{gathered} 12z=45 \\ z=3.75 \end{gathered}

Thus, the required value of z is 3.75 degrees.

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1 year ago
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abruzzese [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

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  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
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aleksandr82 [10.1K]

<em><u>Answer:</u></em>

Around 4 : 3 because the measurements might not be perfect.

<em><u>Step-by-step explanation:</u></em>

So the ratio of the NEW : ORIGINAL is just one side of the rectangle to the other side of the original one.

We know that the newer rectangle (or the larger one) has 4 cm as its side and that the original one (the smaller one) has 3cm as its side. Then we can create the ratio of NEW : ORIGINAL as: 4 : 3

5 0
3 years ago
NEED HELP PLEASE!!!!!!!!!!!!!!!
leonid [27]

Answer:

The answer to your question is: 40°

Step-by-step explanation:

Due to the directions, we can know that KL is parallel to GH, then the

∠ FKL ≡ ∠ FGH =  40

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3 years ago
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