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3 years ago

Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

5 0

9514 1404 393

Answer:

Y = 6.5°

Step-by-step explanation:

We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...

cot(90 -(3Y+32)) = cot(Y+32)

58 -3Y = Y +32

26 = 4Y

6.5 = Y

One solution is Y = 6.5°.

_____

Additional solutions are found at integral multiples of 45° added to this value.

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Given: g(x) = 4 - (x + 3)^2 find the x-intercept

Nata [24]

X intercept is when the function (y) = 0.

0 = 4 - (x+3)^2

(x+3)(x+3) = 4

x^2 + 6x + 9 = 4

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To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.

(x+5)(x+1) = 0

x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).

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2 years ago

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bija089 [108]

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3 years ago

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The expression for the distance traveled is rt where r represents rate and t represents time.

astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

8 0

3 years ago

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PtichkaEL [24]

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2 years ago

Find the perimeter of the quadrilateral.

levacccp [35]

Question:

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

Answer:

<h3>The perimeter of the quadrilateral is 129 inches</h3>

Solution:

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

$4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches$

The values of the side lengths when x = 2 are

$(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch$

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

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3 years ago