All categories

3 years ago

What is the approximate length of the hypotenuse of a right triangle with vertices (-6, 2),

Mathematics

1 answer:

muminat3 years ago

4 0

Answer:

Step-by-step explanation:

A(-6, 2), B(6,-3) and C(-6, -3)

AB² = (x₂ - x₁)² + (y₂ - y₁)²

= ( 6 -[-6])² + ( -3 -2)²

= ( 6 + 6)² + ( -3 -2)² = 12² + (-5)² = 144 + 25 =169

AB = √169 = 13 units

BC² = ( -6 -6)² + ( -3 - [-3])² = (-6-6)² + (-3 +3)²

= (-12)² + 0 = 144

BC = √144 = 12 unis

CA² = (-6 - [-6])² +(-3-2)² = (-6 + 6)² + ( -3-2)²

= 0 + (-5)² = 25

CA =√25 = 5 units

length of the hypotenuse of a right triangle = 13units

You might be interested in

Trent walks 133 yards due south, then 168 yards due west and finally 293 yards due north. How far is Trent from his starting poi

Deffense [45]

Answer:

164 yards

Step-by-step explanation:

take 293 minus 133 and get 160 then take 168

then add them together then divide by 2

You will get:

do not forget your units

4 0

3 years ago

Solve the proportion to determine the value of x. 3 7 37 = 12 x

geniusboy [140]

Equation:

37 = 12x
37 / 12 = x
3.0833... = x

Hope it helped,

Happy homework/ study/ exam!

6 0

3 years ago

Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken

AlekseyPX

Ken's distance is: d(t)=1.7t

Ken's shadow is:

(14-6)/d(t)=14/s

8/d(t)=14/s

s=14d(t)/8

s=1.75d(t) and using the value for d(t) we have:

s=1.75(1.7t)

s=2.975t and if you want it in terms of d, d=1.7t, t=d/1.7 so

s=2.975(d/1.7)

s=1.75d

5 0

3 years ago

ASAPPP Help please!!! Attachment below!

STALIN [3.7K]

Answer:

Step-by-step explanation:

i used a caculator

8 0

3 years ago

What is the correct answer to this question? F/2=5/8

ANTONII [103]

Answer:

F = 1.25

Step-by-step explanation:

All you would have to do is cross multiply, so our equations starts at $\frac{F}{2} = \frac{5}{8}$ . We would now multiply F by 8 and 2 by 5. We now have 8F = 10. We can now divide both sides of the equation by 8 to get F = 1.25.

4 0

3 years ago