Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.

Answers

Answer 1

Answer: pythagorean theorem- a^2+b^2=c^2

a= 10
b= 15
c= ?

10^2+15^2=?^2
100+225=?^2
325=?^2
√325=?^2
18.027....

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Which of the following is true? A Tangent is positive in Quadrant I. B Sine is negative in Quadrant II. C Cosine is positive in Quadrant III. D Sine is positive in Quadrant IV.

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Answer: The correct option is (A) Tangent is positive in Quadrant I.

Step-by-step explanation: We are given to select the correct statement from the options provided.

The rule of signs for the trigonometric ratios in the four quadrants are as follows :

Quadrant I : All the three ratios, tangent, sine and cosine are positive.

Quadrant II : Only sine is positive, cosine and tangent are negative.

Quadrant III : Only tangent is positive, sine and cosine are negative.

Quadrant IV : Only cosine is positive, sine and tangent are negative.

Therefore, using the above rules, we can say that the options (B), (C) and (D) are incorrect.

Option (A) is correct because all the ratios are positive in Quadrant I and so is tangent.

The true statement in that a tangent is positive in quadrant I.

Explain how a number and its reciprocal are related

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A number's reciprocal when multiplied by the original form of the number is, and always will be, 1.

Two faucets are dripping. One faucet drips every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time?

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The time at which both the faucets drip at the same time is 36 seconds

What is Least Common Multiple?

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Given data ,

Let the time at which both faucet drips at the same time be = T

Let the first faucet be represented as = A

Let the second faucet be represented as = B

Now , the time at which the faucet A drips = 4 seconds

And , the time at which the faucet B drips = 9 seconds

So , the equation is given as

The time at which both faucets A and B drips at the same time = Least Common Multiple of both the times of faucet A and faucet B

Substituting the values in the equation , we get

The time at which both faucets A and B drips at the same time = Least common multiple of 4 and 9

Multiples of 4 = 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 ...

Multiples of 9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 ...

So , 36 is the least common multiple of 4 and 9

Therefore , the value of T is 36 seconds

Hence ,

The time at which both the faucets drip at the same time is 36 seconds

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(2,?) is on the line 4x – 5y = -7. Find the other half of the coordinate.

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this is the work I did

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

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Answer:

factor of the polynomial $f(x)=3x^(3)-5x^(2)-12x+20$ is

$(x-(5)/(3))(x+2)(x-2)$

Step-by-step explanation:

Rational Root Theorem: It tells us which roots we may find exactly (the rational ones) and which roots we may only approximate (the irrational ones).

$P(x) = a_n x^(n)+a_(n-1)x^(n-1) + ... + a_2 x^(2)+ a_1 x + a_0$