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gavmur [86]
3 years ago
12

Can someone please help me ill give you brainliest

Mathematics
1 answer:
liq [111]3 years ago
5 0
4/5•2/3=8/15 multiply the numerators and then the denominators
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Maths trig functions <br> please help
Nikitich [7]

1. According to the plots, the curves intersect when x=90^\circ and x=360^\circ.

We can confirm this algebraically.

\sin(x) + 2 = -\cos(x) + 3

\sin(x) + \cos(x) = 1

\sqrt2 \sin\left(x + 45^\circ\right) = 1

\sin\left(x + 45^\circ\right) = \dfrac1{\sqrt2}

x + 45^\circ = \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n \text{ or } x + 45^\circ = 180^\circ - \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n

(where n is an integer)

x + 45^\circ = 45^\circ + 360^\circ n \text{ or } x + 45^\circ = 135^\circ + 360^\circ n

x = 360^\circ n \text{ or } x = 90^\circ + 360^\circ n

We get the two solutions we found in the interval [0°, 360°] with n=1 in the first case, and n=0 in the second case.

2. We have \sin(x)=0 when x \in \{0^\circ, \pm 180^\circ, \pm360^\circ, \ldots\}. For the given plot domain [0°, 360°], this happens when 180^\circ < x < 360^\circ.

3. The domain for both equations is all real numbers in general, but considering the given plot, you could argue the domains would be [0°, 360°].

\sin(x) is bounded between -1 and 1, so \sin(x) + 2 is bounded between -1 + 2 = 1 and 1 + 2 = 3, and its range is [1, 3].

Likewise, -\cos(x) is bounded between -1 and 1, so that -\cos(x)+3 is bounded between -1 + 3 = 2 and 1 + 3 = 4, so its range would be [2, 4].

3 0
1 year ago
What is the value of x?
Marta_Voda [28]

Answer:

x ≈ 6.8

Step-by-step explanation:

since all angles in a triangle add up to 180º:

8x-4+17x-23+3x+17=180

28x-10=180

28x=190

x ≈ 6.8

8 0
3 years ago
Can you guys help?<br> Need to find x, BA, DA
7nadin3 [17]

Answer:

x=2,BA=DA which is7

Step-by-step explanation:

5x-3=3x+1

both sides share an angle and B=D right angles

5x-3x=1+3

2x=4

x=4÷2

x=2

BA=5x-3

BA=5(2)-3

BA=10-3

BA=7

DA=3x+1

DA=3(2)+1

DA=6+1

DA=7

4 0
3 years ago
Which value of "b" will make the trinomial 4x^2 + bx + 36 a perfect square trinomial? 0 24 O 6 O 12 O 4​
Lena [83]

Answer:

48

Step-by-step explanation:

Reverse solve for a perfect Square

(b/2a)^2=36

(b/2(4))^2=36

(b/8)^2=36

b/8=6

b=48

48 makes the trinomial a perfect square trinomial.

4 0
2 years ago
1. Eric has $115 to spend on back to school clothes. So far, he has spent $90. Write an inequality to show how much more money E
xz_007 [3.2K]
Eric can spent $29 for now
5 0
3 years ago
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