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lorasvet [3.4K]
2 years ago
12

Estimate 183 to the nearest integer.

Mathematics
1 answer:
wariber [46]2 years ago
6 0

Answer:

Step-by-step explanation:

1,83 x 10^2

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write an enaquality that expresses the reason the lengths 5 feet , 10 feet and 20 feet could not make a triangle. explain how th
NikAS [45]
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.

short side (10) + short side (5) needs to be greater than (>) longest side (20)

10 + 5 > 20

15 > 20

This inequality is incorrect, so the lengths cannot make a triangle.

Hope this helps :)

7 0
3 years ago
7(2 + 3) − 4 · 2 2 <br><br> the second two is up in the air fyi
AfilCa [17]

Answer:

19

Step-by-step explanation:

7(<u>2 + 3</u>) − 4 · 2² ← like that right so

<u>parenthesis first add the numbers up↓</u>

7(5) - <u>4</u> · 2²

write number in exponential form↓

<u>7(5)</u> - 2²· 2²

multiply↓

35 - <u>2² · 2²</u>

calculate the product↓

35 - <u>2⁴</u>

evaluate the power↓

35-16

then subtract↓

19

7 0
2 years ago
If the sum of the even integers between 1 and k, inclusive, is equal to 2k, what is the value of k?
Alisiya [41]
If k is odd, then

\displaystyle\sum_{n=1}^{\lfloor k/2\rfloor}2n=2\dfrac{\left\lfloor\frac k2\right\rfloor\left(\left\lfloor\frac k2\right\rfloor+1\right)}2=\left\lfloor\dfrac k2\right\rfloor^2+\left\lfloor\dfrac k2\right\rfloor

while if k is even, then the sum would be

\displaystyle\sum_{n=1}^{k/2}2n=2\dfrac{\frac k2\left(\frac k2+1\right)}2=\dfrac{k^2+2k}4

The latter case is easier to solve:

\dfrac{k^2+2k}4=2k\implies k^2-6k=k(k-6)=0

which means k=6.

In the odd case, instead of considering the above equation we can consider the partial sums. If k is odd, then the sum of the even integers between 1 and k would be

S=2+4+6+\cdots+(k-5)+(k-3)+(k-1)

Now consider the partial sum up to the second-to-last term,

S^*=2+4+6+\cdots+(k-5)+(k-3)

Subtracting this from the previous partial sum, we have

S-S^*=k-1

We're given that the sums must add to 2k, which means

S=2k
S^*=2(k-2)

But taking the differences now yields

S-S^*=2k-2(k-2)=4

and there is only one k for which k-1=4; namely, k=5. However, the sum of the even integers between 1 and 5 is 2+4=6, whereas 2k=10\neq6. So there are no solutions to this over the odd integers.
5 0
3 years ago
The difference of the square of a number and 12 is equal to 4 times that number. find the negative solution.
dybincka [34]
Im sorry but Im not sure
4 0
3 years ago
Negative four times negative three
olya-2409 [2.1K]

Answer:

12

Step-by-step explanation:

-4 * -3

12

When you multiply two negatives, you get a positive number.

Hope this helps ^-^

3 0
3 years ago
Read 2 more answers
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