The gcf of 135 225 270

Answers

Answer 1

Answer: The greatest common factor of 135 225 and 270 is 135/225 = 3/5

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Answer 2

Answer:

The GCF of 135, 225, and 270 is 45.

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. To find the GCF of 135, 225, and 270, we need to find the common factors of the three numbers and choose the largest one.

The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135.

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225.

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

The common factors of 135, 225, and 270 are: 1, 3, 5, 9, 15, 45.

The largest common factor is 45. So, the GCF of 135, 225, and 270 is 45.

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A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour? Part A Estimate the quotient. Include an equation to show your work. Explain
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would be delayed when it is not raining? Round your answer to the nearest thousandth.

Answers

The probability that the flight would be delayed when it is not raining is 12.15%.

Since at LaGuardia Airport, for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15, while the probability that it will not rain and the flight will leave on time is 0.74 , to determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

Probability that it will not rain = 1 - probability that it will rain
X = 1 - 0.19
X = 0.81

Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed
X = 0.81 x 0.15
X = 0.1215
0.1215 x 100 = 12.15

Therefore, the probability that the flight would be delayed when it is not raining is 12.15%.

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Final answer:

Explanation:

To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula:
P(delayed | not raining) = P(delayed and not raining) / P(not raining)
We are given that P(delayed and not raining) = 0.74 and P(not raining) = 1 - 0.19 = 0.81. Substituting these values into the formula:
P(delayed | not raining) = 0.74 / 0.81 ≈ 0.914. Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.914.

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Find an EQUATION for the tangent line to the graph at the specified value of x: y = xcos(3x) for x = pi

Answers

The line [ y = - pi ] is tangent to that function where x=pi .

On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this rate on Thursday, how far did Heather run on Thursday?

Answers

30 mins = 3 miles
10 mins = 1 mile
45 mins = 4.5 miles

4.5 mile is your answer
Glad to Help!

one leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the longer leg. Find the lenghts of the sides

Answers

The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².

Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.

So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²

Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25

Now combine like terms:
2B² -10B + 25 = B² + 10B + 25

And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B

Subtract B² from each side:
B² - 10B = 10B

Add 10B to each side:
B² = 20B

And finally, divide each side by B:
B = 20

So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.

And your final answer is A = 15mm, B = 20mm, and H = 25mm

If ∠o = 125°, what does ∠z equal in this figure?(uploaded img)

A. 125°
B. 35°
C. 180°
D. 55°

Answers

By the concepts of transversal, vertically opposite angles, and pair of interior alternate angles measure of angle z is A. 125°.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, m∠o is 125°.

We know vertically opposite angles are equal hence m∠q is also 125°.

We also know that the pair of interior angles are equal therefore m∠x is also 125° and again vertically opposite angle z is 125°.

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Answer:

125

Step-by-step explanation:

o=q

q=x

then x=z =125

What is the midpoint of (-5,2) and (2, - 7)?

Answers

Answer:

The answer to your question is Midpoint = (-1.5, -2.5)

Step-by-step explanation:

Data

Point A = (-5, 2)

Point B = (2, -7)

Process

To find the midpoint, use the formula to calculate the mid-x and the formula to find the mid-y, then write the results as a point.

Formula

Xm = (x1 + x2) / 2

Ym = (y1 + y2) / 2

Substitution

Xm = (-5 + 2)/2

Ym = (2 - 7)/2

Simplification

Xm = -3/2

Ym = -5/2

Result

Xm = -1.5

Ym = -2.5

Midpoint = (-1.5, -2.5)

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