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3 years ago

A pole is 35 3/4 feet long. If 3/8 of the pole is underground,

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer: 22.34375

Step-by-step explanation:

35 and 3/4 is equal to 35.75

Therefore,

35.75 x (3/8) is equal to 13.40625 underground.

So 35.75 - 13.40625 = 22.34375 feet above ground

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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

Learn more about trigonometric ratios at

brainly.com/question/20367642

#SPJ1

8 0

2 years ago

Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals

trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

The surface is given by the equation

f(x,y,z) = 0 where

$f(x,y,z)=-2x^2+2y^2-3z^2+3$

The gradient of this function is the vector

$(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)$

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

The vectors with their tails at P are of the form

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

$(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3$

and the equation of the desired plane is

4x+4y+3z = -3

3 0

4 years ago

two numbers have the following properties.the sum of the larger and twice the smaller is equal to 13.twice their positive differ

rusak2 [61]

Answer:

We would need more information to figure out who or what ate the numbers. It gives no examples of things that would. I hope you understand this. Have a great day :)

6 0

4 years ago

Lucy can assemble a computer by herself in 35 minutes. Manny does the same job in 50 minutes. How long will it take them to ass

kicyunya [14]

Answer:

Step-by-step explanation:

I think its 15 I just subtracted the two numbers

6 0

3 years ago

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Suppose that x ∗ is an optimal basic feasible solution, and consider an optimal basis associated with x ∗ . Let B and N be the s

ch4aika [34]