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Kazeer [188]
4 years ago
7

Evaluate (101.5)²-(100.5)²​

Mathematics
1 answer:
makvit [3.9K]4 years ago
8 0

You can exploit the difference-of-squares identity,

<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)

Then

101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)

101.5² - 100.5² = 1 * 202

101.5² - 100.5² = 202

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Find the surface area of the rectangular box below
REY [17]

Answer:

SA = 904 in.²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

  • l = 36 in.
  • w = 10 in.
  • h = 2 in.

Substitute the given values and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(36)(10) + 2(10)(2) + 2(2)(36)

SA = 2(360) + 2(20) + 2(72)

SA = 720 + 40 + 144

SA = 904 in.²

Hope this helps!

5 0
2 years ago
The range of y= sin x is
kolezko [41]

Given:

y = sinx

Required:

To find the range.

Explanation:

The graph of the sine function is as follows:

We can observe from the graph that the values of y lie between -1 to 1.

So the range of the sinx function is [-1, 1].

Final Answer:

The range of sinx function = [-1, 1].

5 0
1 year ago
2 6
Irina18 [472]
I think it is -2288 something like that

3 0
3 years ago
4. Choose the best answer.
Svet_ta [14]
the answer isexistence
4 0
3 years ago
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0
4 years ago
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