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marin [14]
2 years ago
13

Round 23.2736 to the nearest thousandth​

Mathematics
1 answer:
alekssr [168]2 years ago
5 0

Answer:

23.274

Step-by-step explanation:

Here, rounding to the nearest thousandth means rounding to the nearest 0.001.

Hence, due to the digit being rounded having a number larger than 5 after it (0.2736), it is rounded up.

Hope this helped!

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PLEASE HURRY IM TIMED!!!!!
notka56 [123]

Answer:

0.4 kmffffffffffffffffffffffffffffffffff

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3 years ago
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Find the measures of the angles in the figure.
Vinvika [58]

Answer:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

which agrees with the first answer in the list of possible options.

Step-by-step explanation:

We can use the fact that the addition of all four internal angles of a quadrilateral must render 360^o. Then we can create the following equation and solve for the unknown "h":

2h+2h+h+h = 360^o\\6h=360^o\\h=60^o

Therefore the angles of this quadrilateral are:

120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o

3 0
3 years ago
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Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
If P(AnB)=2/3 and P(B)=3/4, what is P(A I B)? A.35/36 B.15/16 C.24/25 D.8/9
astraxan [27]

Answer:

\large\boxed{D.\ \dfrac{8}{9}}

Step-by-step explanation:

\text{We know:}\\\\P(A|B)=\dfrac{P(A\ \cap\ B)}{P(B)}\\\\\text{We have:}\\\\P(A\ \cap\ B)=\dfrac{2}{3},\ P(B)=\dfrac{3}{4}.\\\\\text{Substitute:}\\\\P(A|B)=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{2}{3}\cdot\dfrac{4}{3}=\dfrac{8}{9}

6 0
3 years ago
Ruby uses 1/4 yard of ribbon to make 2 bows.Which expression shows the length of ribbon in each bow?
allochka39001 [22]
What you can do in this case is a rule of three to determine the length of each bow.
 We have then:
 1/4 ---> 2
 x ------> 1
 Clearing x we have:
 x = (1/2) * (1/4)
 x = 1/8
 Answer:
 the length of ribbon in each bow is
 x = 1/8
 Equivalently:
 x = (1/4) / 2
 Option 3
3 0
3 years ago
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