Rema spent 6 days reading her book, completing the same fraction of the book each day, if she read a total of 8/9 of her book af

Answer:

Indeed, the equation is solvable by factoring. By applying the given equation, you can take the square root of both sides. Since both 169 and 9 are perfect squares, the left-hand side simplifies to plus or minus 13/3, producing rational results. Adding 6 to 13/3 yields a rational number while subtracting it does too. Thus, a quadratic equation is factorable if its solutions are rational.

Answer:

Step-by-step explanation:

The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Thus, Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Leading to Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees

The remaining angle is

90 - 64 = 26 degrees

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

In this scenario, we have a function of the following form: A: initial amount, b: rate of decrease, x: time in years. Plugging in the values results in an exponential decay function suitable for this situation: y = 1300 * (0.97) ^ x. The estimated fish population in 2010 is then calculated to be approximately 1083.

Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem

Thus, we find that and option C is the correct choice.