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2 years ago

A triangle has sides with lengths of 12 kilometers, 35 kilometers, and 37 kilometers. Is it a right triangle?

Mathematics

1 answer:

quester [9]2 years ago

8 0

Answer: yes

Step-by-step explanation:

Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,

a^2+b^2=c^2 where a and b are the two shortest legs.

12^2+35^2=c^2

144+1225=c^2

c^2=1369

c=37

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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

SOVA2 [1]

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

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3 years ago

At higher elevations water boils at lower temperatures. The temperature at which water boils is called the boiling point of wate

Irina-Kira [14]

Answer:

The boiling point of water is between 84 °C and 88 °C when the elevation is between 3.4 and 4.6 km.

Step-by-step explanation:

You want x such that ...

84 ≤ B(x) ≤ 88

84 ≤ 100 -3.5x ≤ 88 . . . . substitute for B(x)

-16 ≤ -3.5x ≤ -12 . . . . . . . .subtract 100

4.6 ≥ x ≥ 3.4 . . . . . . . . . . .divide by -3.5; this reverses the inequality

4 0

2 years ago

Write the equation of the line that passes through the given points. Include your work in your final answer. Type your answer in

Harman [31]

The equation you use for the slope of this kind of problem is (y2-y1)/(x2-x1). x1 is the first X coordinate, x2 is the second, y1 is the first y coordinate, y2 is the second.

(5-3)/(2-2)
2/0
This equation has an UNDEFINED SLOPE, as it is just a vertical line.

3 0

3 years ago

Which equation can be used to solve the following word problem? Seth has 8 more nickels than dimes, and the total value of his c

9966 [12]

Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

$5n+10(n-8)=235.$