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1 year ago

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Mathematics

1 answer:

luda_lava [24]1 year ago

4 0

Answer:

See the solution

Step-by-step explanation:

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An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

$tan(\theta)=\frac{60}{1500}$

$\theta=\tan^{-1}(\frac{60}{1500} )$

$\theta=\tan^{-1}(0.04)$

$\theta=2.290610042639$

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0

2 years ago

a chef buys 5.46 pounds of ground turkey to make some casseroles. Each casserole requires 0.13 pound of turkey. How many cassero

mina [271]

The chef can make 42 casseroles no remainder

7 0

2 years ago

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

3 years ago

What is the exsponet of 64/81 = 8/9

Mumz [18]

(8/9)^2 is 64/81. Exponent is 2. Hope this help

4 0

2 years ago

Which function has a greater y intercept?

Anni [7]

Answer:

Step-by-step explanation:

The function whose graph is given has y-intercept (0, 3), whereas the function f(x) has y intercept (0, 1). So it is the first that has the greater y intercept.

8 0

2 years ago