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sveticcg [70]
3 years ago
7

Let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
The consecutive integers are i, i+1, i+2, i+3.

3 less than sum of the integers

= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3
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In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Mila [183]

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

tanx=\frac{7.6}{8.6}

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

x=\frac{7.6}{8.6}(tan^-^1)

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

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Step-by-step explanation:

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UH “ALL OF THE ABOVE??” OR TRY THE SECOND ONE

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A bag has 3 red marbles, 2 blue, 4 green and 1 yellow. What is the theoretical probability of pulling a red marble? Write your a
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Step-by-step explanation:

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3 years ago
On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone r
juin [17]

Answer:

\text{r}=5.5\text{c}-20

Step-by-step explanation:

GIVEN: On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question.

TO FIND: the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c.

SOLUTION:

Total number of incorrect questions =40-\text{c}

Total marks deducted due to incorrect question =(40-\text{c})\times0.5=20-0.5\text{c}

Total correct questions =\text{c}

Total marks scored =6\text{c}

Total raw marks \text{r}=\text{total marks gained}-\text{total marks deducted}

                           \text{r}=6\text{c}-(20-0.5\text{c})

                           \text{r}=5.5\text{c}-20

ormulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is  \text{r}=5.5\text{c}-20

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