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Harman [31]
3 years ago
12

Solve: sin5x - cos2x + sin x = 0.

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

x = 10 , 45 degrees.

Step-by-step explanation:

This seems a tricky one .

I guess we can use   sin A + sin B =  2 sin (A+B)/2 cos (A - B) / 2

so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes

2 sin 3x cos 2x - cos 2x = 0

cos 2x ( 2 sin 3x - 1) = 0

so 2 sin 3x = 1

sin 3x = 1/2

giving 3x = 30 degrees and x = 10 degrees

or cos 2x = 0

so 2x = 90

giving x = 45 degrees.

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Lisle bought 38 pounds of red grapes and 512 pound of green grapes how many pounds of Grapes did he buy
Svet_ta [14]

Answer:

19/24

Step-by-step explanation:

From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes

✓3/8 pounds of red grapes and 5//12

✓First thing to do is to add the fractions

But we need " the least common denominator" because their denominator are not the same, we need to make it the same...

✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.

✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.

3/8 = (3×3)/(8×3)=9/24

✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.

5/12= (5×2)/(12×2)= 10/24

✓ we can see they both have the same denominator, then we can now "add both denominators"

(9+10)=19

✓ Then place the addition of the denominators on the least common denominator.

= 19/24.

Therefore, he bought 19/24 of grapes

5 0
3 years ago
Solve 15x²+8x+1÷ 2x-y​
mariarad [96]

Answer:

\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}

Step-by-step explanation:

15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)

add on 2x -y as the denominator of the fraction

7 0
3 years ago
If a candy bar costs $0.75, how much would 4 candy bars cost?
jekas [21]
The correct answer is $3. Please mark me brainiest. :)
5 0
3 years ago
Read 2 more answers
ASAPPP BRAINLEST 30 POINTS
BigorU [14]

Answer:

a

also this is only 5 points not 30

Step-by-step explanation:

it is a because this equation is y=mx+b and b is the y-int and b=2 so 2 is the y int which means x will be 0 and points are written as (x,y) so then it would be (0,2) sorry really bad at explaining

3 0
3 years ago
Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = ℒ{f(t)} and n = 1, 2, 3, . . . , then ℒ{tnf(t)} = (−1)n dn
Ugo [173]

Answer:

L\left(te^{2t }sin3t\right)=\frac{6s-12}{(s^2-4s+13)^2}.

Step-by-step explanation:

If F(s)= L{f(t)}

Then L\left\{(t^nf(t)\right\}=(-1)^n\frac{\mathrm{d^n}F(s)}{\mathrm{d^n}s}

L\left\{te^{2t}sin3t\right\}

f(t)=e^{2t}sin3t

L\left\{e^{at}sinbt\right\}=\frac{b}{(s-a)^2+b^2}

Therefore,L\left\{e^{2t}sin3t\right\}=\frac{3}{(s-2)^2+(3)^2}

L\left\{e^{2t}sin3t\right\}=\frac{3}{s^2-4s+13}

L\left\{te^{2t}sin3t\right}=-\frac{\mathrm{d}F(s)}{\mathrm{d}s}

=-\frac{\mathrm{d}e^{2t}sin3t}{\mathrm{d}s}

L\left\{te^{2t}sin3t\right\}

=\frac{3(2s-4)}{(s^2-4s+13)^2}

L\left\{te^{2t}sin3t\right\}=\frac{6s-12}{(s^2-4s+13)^2}.

7 0
4 years ago
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