Estimate the sum of 703 + 620

1 answer:

7 0

When you estimate, you round each number, the add.
We round them to
700+620, which is 1320
So our non estimated answer is 1323
But our estimated answer is 1320

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The left and right page numbers of an open book are two consecutive integers whose sum is 385. Find these page numbers.

Alona [7]

Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

2x=238 Combine like terms on the right side

x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

x=119 Divide

So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

Answer: So our two page numbers are 119 and 120

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Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

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Step-by-step explanation:

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Problems of normal distributions can be solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

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For n instances of a normal variable, the mean is $n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$