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2 years ago

Find all angles θbetween 0° and 2pi satisfying the given equation ? sin(θ)=2√2

1 answer:

4 0

We are to determine <span>all angles between 0° and 2pi satisfying the given equation sin(θ) = 2√2. The answer is that no angles that would fit to the given equation. This is because the values of trigonometric functions such as cosine and sine do not go more than 1. Since </span><span>2√2 is equal to 2.83, then the answer is none.</span>

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4(x+6)≤−56 it says Solve the inequality.

vlabodo [156]

$\tt \: 4(x + 6) \leqslant - 56$

Divide both sides of the inequality by 4

$\sf \: x + 6 \leqslant - 14$

Move the constant to the right-hand side and change its sign

$\bf \: x \leqslant - 14 - 6$

Calculate the difference

$\rm \: x \leqslant - 20$

And we are done solving!!~

8 0

2 years ago

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Nine is 4 percent of what number

Katarina [22]

Answer:

225

Step-by-step explanation:

We can model this question with:

9 = 0.04x

x represents "what number."

0.04x = 9.

Divide 0.04 from both sides

0.04x ÷ 0.04 = 9 ÷ 0.04

9 ÷ 0.04 = 225.

Therefore, 9 is 4% of 225.

5 0

2 years ago

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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.

PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = $( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )$ .

But, $\frac{-8k-3}{k+1}$ = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. $k = \frac{3}{2}$

So, the ratio is k : 1 i.e $\frac{3}{2} : 1$ i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, $\frac{9k-1}{k+1}$ = m where $k = \frac{3}{2}$

i.e. m = $\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}$

i.e. m = $\frac{27-2}{3+2}$

i.e. m = $\frac{25}{5}$

i.e. m = 5.

Hence, the value of m is 5.

4 0

2 years ago

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What is the quadratic formula?

Ne4ueva [31]

Answer:

I guess u want to know the quadratic function and its formula is, AX*2 + BX + C. Otherwhise you want to know how to get 0 and get the Xm if you want to know how to solve a quadratic. That formula is, (-B +/- $\sqrt{x}$ (B*2 - 4AC) ) . 1/2 (where A, B and C are the number at the original function).

Step-by-step explanation:

6 0

2 years ago

PLZ PLZ HALP!!

bogdanovich [222]

Answer:

(A) - (5)

(B) - (4)

(C) - (1)

(D) - (2)

Step-by-step explanation:

(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]

(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).

(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.

(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.

(D) We are given the polynomial (x+2)²(x+1)²

(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)

8 0

3 years ago