Express the area A of a right triangle as a function of the height h if the base of the triangle is twice it's height

Mathematics

1 answer:

borishaifa [10]3 years ago

8 0

Base = 2 x height (b = 2h)
Area = 1/2 x base x height = 1/2 x 2h x h = h x h = h^2

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Find the missing side lengths

Mashcka [7]

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

$h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18$

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3 years ago

Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocit

yuradex [85]

Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.

7 0

3 years ago

Plz help, i will give brainliest?<br><br> what is 890,754 x 205,789

nikdorinn [45]

Answer:

183,307,374,906

3 0

3 years ago

Read 2 more answers

Can someone help me on this?

dezoksy [38]

Answer: