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Alinara [238K]
3 years ago
7

Choose the correct value of x AND the correct value of y from the choices below.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

x = \frac{16}{\sqrt{2} } and y = \frac{16}{\sqrt{2} }

Step-by-step explanation:

Applying the trigonometric functions to the given triangle;

i. To determine the value of x;

Sin θ = \frac{opposite}{hypotenuse}

Sin 45 = \frac{x}{16}

x = 16 * Sin 45

  = 16 * \frac{1}{\sqrt{2} }

x  = \frac{16}{\sqrt{2} }

ii. To determine the value of y;

Cos θ = \frac{adjacent}{hypotenuse}

Cos 45 = \frac{y}{16}

y = 16 * Cos 45

  = 16 * \frac{1}{\sqrt{2} }

y  = \frac{16}{\sqrt{2} }

Thus, x = \frac{16}{\sqrt{2} } and y = \frac{16}{\sqrt{2} }

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If rhe discriminant of a quadratic equation is equal to -8 which statement describes the roots
Nastasia [14]

Answer:

Step-by-step explanation:

Given

Discriminant = -8

Required

Determine the type of roots

Represent Discriminant with D; such that

D = -8

D is calculated as thus

D = b^2 - 4ac

And it has the following sequence of results

When D > 0; then the roots of the quadratic equation are real but not equal

When D = 0; then the roots of the quadratic equation are real and equal

When D < 0; then the roots of the quadratic equation are complex or imaginary

Given that D = -8; This means that D < 0; and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary

6 0
2 years ago
Need to pick three options. please need help on this​
disa [49]
The 4th one is the answer
3 0
2 years ago
C.is decrease by 1 foot every 500 miles D. Is decrease by 1 foot every 1000 miles
Tasya [4]

Answer:

Option A

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Line shown in the graph is passing through two points (2, 8000) and (4, 7000).

Therefore, slope of the given line = \frac{8000-7000}{2-4}

                                                        = -500 feet per mile

Which means, altitude decreases by 500 ft every mile.

(Negative sign represents the decrease)

Option A is the correct option.

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=8%20%5Cdiv%20%287%20-%209%29%20%5Ctimes%20%284%20%2B%20%28%20-%204%29%29" id="TexFormula1" tit
anygoal [31]

8 ÷ (7 - 9) * ( 4 + (-4) ) <--- notice that bolded part.

4 + (-4) = 4 - 4 = 0.

after that, you're pretty much dividing and multiplying by 0, so

whatever ÷ whatever * whatever * 0 = 0.

6 0
3 years ago
What is this property 25x0=0
frozen [14]

Answer:

zero property

Step-by-step explanation:

if it equals zero its zero property

5 0
3 years ago
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