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3 years ago

Find the slope of a ski run that descends 15 feet for every horizontal change 24 feets

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer: 5/8

Step-by-step explanation:

Slope is determined by dividing the amount of vertical movement by the amount of horizontal movement and then simplifying the answer. In this case it is 15/24. To simplify you need to find the least common denominator (LCD), which is 3, and divide both numbers by it. 15/3=5 and 24/3=8, so the answer is 5/8.

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3 years ago

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Norma-Jean [14]

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3 years ago

An introductory psychology class with n=44 students has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomo

andrezito [222]

Answer:

0.61

Step-by-step explanation:

Pr (female) = total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

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3 years ago

An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

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3 years ago

What is the unit rate of 183 miles in three hours

Ber [7]

61 miles per hour, because if you divide 183/3 you will get 61.

3 0

3 years ago

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